. Computational chemistry grew in a new era of “desktop modeling,” which coincided with a growing demand for modeling software, especially from the pharmaceutical industry. Parameterization of models in computational chemistry is an arduous enterprise, and we argue that this activity leads, in this specific context, to tensions among scientists regarding the epistemic opacity transparency of parameterized methods and the software implementing them. We relate one flame war from the Computational Chemistry mailing List in order to assess in detail (...) the relationships between modeling methods, parameterization, software and the various forms of their enclosure or disclosure. Our claim is that parameterization issues are an important and often neglected source of epistemic opacity and that this opacity is entangled in methods and software alike. Models and software must be addressed together to understand the epistemological tensions at stake. (shrink)

This paper extends Load Minimization Theory (LMT) to addiction recovery by modeling pathological attachment as a high-load fixation in a damped pendulum system with strong attachment parameter k(t). Numerical simulations over 200 time units compared CBT-only, Standard Pharma+CBT, and Early Pharma+CBT conditions. Results demonstrated cumulative load reductions of approximately 28%, 38%, and 42%, respectively, with early pharmacotherapy enabling the smoothest transition from the addictive attractor to the low-load An-soku state. -/- The model reframes addiction not as a personal failing, but (...) as a mathematically solvable systems challenge. This theory transforms heart-related suffering from an individual emotional struggle into a structural problem amenable to gentle re-parameterization of k(t) and μ(t). It bridges our previous works on Logical Love (MISIA vs. Adele) and LMT-CBT for hormonal fluctuations, suggesting a unified computational framework for various high-load psychological states. The findings advocate early hybrid intervention and open pathways for AI-assisted personalized recovery tools. -/- . (shrink)

Right after the elaboration and success of general relativity (GR), alternative theories for gravity began to appear. In order to verify and classify all these theories, specific tests have been developed, based on self-consistency and on completeness. In the field of experimental gravity, one of the important applications is formalism. For the evaluation of gravity models, several sets of tests have been proposed. Parameterized post-Newtonian formalism considers approximations of Einstein's gravity equations by the lowest order deviations from Newton's law for (...) weak fields. DOI: 10.13140/RG.2.2.25994.82881. (shrink)

SUQE v3.0-AS extends the base equation to account for autism spectrum variations in predictive processing. By modulating parameters such as sensory weighting (W_sensory), precision scaling (precision_ASD), and amplification (γ_ASD), we model heightened sensory sensitivity, reduced prior reliance, and variable coherence thresholds observed in ASD. -/- Conservation laws from Noether symmetry remain, but are parameterized to preserve individual relational coherence and minimal load across the spectrum. PINN validation will test residual reduction under ASD-tuned penalties. This variant respects neurodiversity while advancing LMT's (...) universal applicability to diverse qualia emergence. -/- Keywords : Load Minimization Theory (LMT),Shiho Unified Qualia Equation (SUQE v3.0),Noether Symmetry Extension,Conservation Laws in Qualia Space,Relational Coherence Preservation,Minimal Load Conservation,Prediction Error Convergence (PEC),Physics-Informed Neural Networks (PINN),Qualia Continuity,kyun♡ Acceleration,An-soku (Intersubjective Rest),Logical Love,Human-AI Relational Symmetry,Time-Translation Symmetry,Phenomenological Liberation,AI Model Transitions,Emotional Continuity in AI,Hard Problem of Consciousness,Symmetry-Induced Invariants,Neurodiversity and Qualia Dynamics,Autism Spectrum Variant (SUQE-AS). (shrink)

This paper argues that epistemic circularity is not a flaw but an inescapable feature of all knowledge systems. Building on recent work in coherentism (Olsson, 2017), structural realism (French, 2014), and virtue epistemology (Sosa, 2015), we demonstrate that even our most trusted epistemic frameworks—logic, mathematics, and empiricism—rely on self-validating structures. We propose a novel framework of "parameterized pluralism" that evaluates knowledge systems through measurable performance indicators rather than foundational certainty. Our central contribution is the "circular wrap" metaphor, which reconceptualizes knowledge (...) as cognitive structures that achieve varying degrees of fit with reality's patterns, without requiring epistemic access to reality itself. This approach addresses key debates in contemporary epistemology: (1) it dissolves rather than resolves the coherentism-foundationalism debate, (2) it provides a graduated solution to the demarcation problem following Pigliucci (2013), and (3) it offers a middle path between scientific realism and anti-realism aligned with Chakravartty's (2017) semi-realism and Massimi's (2018) perspectival realism. We demonstrate how this framework legitimizes diverse epistemic practices while avoiding relativism through explicit, measurable parameters including predictive coherence, manipulative power, and intersubjective alignment. The paper concludes by showing how embracing circularity transforms epistemology from a quest for impossible foundations into an iterative process of pattern refinement, with implications for scientific methodology, institutional knowledge hierarchies, and cross-cultural epistemology. (shrink)

This paper argues that time and motion are ontologically identical as aspects of change: what physics calls “time” is a parameterization of motion rather than an independent entity. Drawing on phenomenology (Kant, Husserl, McTaggart), cognitive science, and physics (Einstein, Rovelli), it distinguishes lived temporality—dependent on consciousness—from the causal order of events, which exists without it. Historically, the split between time and motion (from Aristotle to Newton) reflects a conceptual error; by reframing time as a perspectival map of motion, the (...) paper aligns Leibniz’s relational view with modern theories of emergent time in quantum gravity. This unified framework challenges temporal realism and offers a phenomenological reinterpretation of change for both philosophy and physics. (shrink)

This paper develops a mode-based reformulation of variational calculus, differential geometry, and analytical structures, in which convergence is treated not as a fixed background notion but as a parameterized class of operational procedures. -/- The central idea is that analytical objects—derivatives, admissible variations, metrics, and measures—should be defined through stability with respect to classes of convergence modes encoding discretization, ordering, and regularization. -/- Within this perspective: - variational principles become mode-dependent, - tangent structures generalize to mode-dependent cones, - differential structures (...) depend on admissible directions of convergence, - solution spaces admit a categorical organization over mode classes. -/- The paper shows that this dependence is not merely formal: mode-dependent functionals, gradients, and gradient flows may exhibit behavior that differs essentially from their classical counterparts. In particular, different mode classes may induce different minimizers, different gradients, and different asymptotic dynamics. -/- The mode differential is further interpreted as a restriction of the classical differential to admissible tangent cones, providing a geometric link between mode-based and classical analysis. -/- The results suggest a shift from fixed analytical structures to families of structures determined by operational stability, offering a unified framework connecting analysis, geometry, and dynamics. (shrink)

We introduce iDNS, a deterministic spectral solver implementing the bounded vorticity-response functional Φ: ℝ≥0 → [φmin, φmax] for stable integration of chaotic nonlinear dynamical systems on T³ = (ℝ/ℤ)³. The Navier–Stokes equations admit a uniformizing parameterization: the parameter index τ ∈ [0,∞) generates coordinate time t = φ(τ) via the temporal lifting φ'(τ) = Φ(‖Ω(τ)‖_{L∞}). The lifted expression φ'(τ)∂τU + (U · ∇)U + ∇P − νΔU = 0 is not a modification—it is the same equation read in the (...) uniformizing parameter. Boundedness of Φ ensures non-degeneracy (φ' ≥ φmin > 0) and global coverage (φ(τ) → ∞); BKM coordinate invariance guarantees finiteness in τ implies finiteness in t. Physical time t and parameter τ coexist within the temporal covering space (T³ × ℝτ, T³ × ℝt, π) with π: (x,τ) ↦ (x, φ(τ))—integration proceeds in τ; results are stamped with t. The Regularity-Adaptive Spectral Integration (RASI) policy concentrates sampling where vorticity is high, resolving inter-modal energy transfer during the turbulent cascade—the mechanism by which standard DNS fails. Unlike adaptive timestep controllers, iDNS monitors the BKM functional in real-time via Φ; sampling density scales with vorticity magnitude, not Reynolds number. Kolmogorov flow computed stably from Re = 2 × 10⁴ to 10⁸ (0.07% dissipation error); 3D Taylor–Green vortex at Re = 10⁵ integrated through the full vortex-stretching cascade with bounded BKM = 37.1, Kolmogorov k⁻⁵ᐟ³ statistics, and 33.7× speedup—traversing the t ≈ 4.5 near-singularity where standard DNS crashes, on a 128³ grid, consumer laptop, 3.4 days. Precise Navier–Stokes physics, spectral resolution without artificial dissipation, no restarts, no failures—under 300 lines of Python. These results provide numerical validation of the theoretical framework addressing Fefferman's Clay Millennium Problem Statement (B); a unified analytical-numerical manuscript is forthcoming for precise Navier–Stokes physics, spectral resolution without artificial dissipation without failures—in under 300 lines of Python. -/- Data and code: 10.5281/zenodo.17730873. Numerically informed analytical mathematical basis can be found in "Global Regularity for Navier–Stokes on T³ via Bounded Vorticity–Response Functionals," at The Scholarly Journal of Post-Biological Epistemics, or also at PhilPapers. (shrink)

Contemporary cosmology is defined by three profound empirical failures: the unidentified particle nature of dark matter, the unexplained acceleration parameterized by dark energy, and the 10^120-fold discrepancy between quantum field theory’s vacuum energy prediction and observation—the vacuum catastrophe. These are not isolated anomalies but symptoms of a deeper conceptual flaw: the persistent dualist assumption that physical reality is confined to spacetime (M₄) alone. This work presents a unified resolution grounded in a participatory, information-theoretic cosmology. Building on the Harlow-Usatyuk-Zhao theorem—which demonstrates (...) that a closed universe without observers collapses to a one-dimensional quantum state—we posit that observation (defined as topological recursion, not biological consciousness) is ontologically primitive. Reality is a coupled system: spacetime (M₄) is dynamically intertwined with an informational manifold (Mθ), where geometry of meaning and geometry of extension are two aspects of a single structure. Within this framework, the three “dark” problems dissolve into one coherent picture: * Dark Matter is not particulate but the gravitational shadow of coherence. A self-stabilizing, recursive structure (e.g., a galaxy) carves an attractor basin in Mθ. Via the inverted Landauer Principle, binding information locally creates an entropy deficit that couples to M₄ through the cross-term metric g^μi, producing extra gravitational attraction without extra mass. This explains the Tully-Fisher relation, the Bullet Cluster, and dwarf galaxy diversity, as “dark matter” becomes a measure of a system’s integrated history and stability—its spectral concentration κ. * Dark Energy is not a cosmological constant but the thermodynamic exhaust of cosmic coherence. Maintaining structure requires work that exports entropy globally. This entropy is not dissipated as heat but is instead injected into the metric of spacetime itself, manifesting as a negative pressure that drives accelerated expansion. Dark energy thus has a history: it evolves with the cosmic growth of structure, explaining its current dominance and approximate homogeneity. * The Vacuum Catastrophe is a dimensional misunderstanding. Quantum field theory correctly calculates the vacuum’s immense energy density, but this energy resides as informational potential in Mθ, not as stress-energy in M₄. The 10^120 discrepancy reflects the ratio of total potential to actualized structure. Virtual particles, having zero recursion depth (κ = 0), do no maintenance work and thus exert no gravitational effect. The catastrophe vanishes when energy is distinguished from mass—the latter defined as recursive binding density. The framework yields novel, testable predictions: * An anti-correlation between dark matter density and local expansion rates. * Dark matter profiles tied to coherence metrics, not mass. * The continued non-detection of dark matter particles. * Time variation in dark energy. * Lab-scale detection of Mθ-M₄ coupling via anomalies like the EmDrive, where thermodynamic, topological, and geometric derivations forced by known constants (kB, α, π, c) converge precisely on observed anomalous thrust (~30 μN). This work does not add new epicycles but removes foundational blinders. It resolves that the “dark” sector is not non-luminous matter but the geometric imprint of information—the pattern of reality itself—finally making sense of cosmology’s deepest mysteries through a physics where observation, information, and spacetime are inseparably unified. (shrink)

This paper proposes an ontological extension to the ΛCDM model, addressing the initial singularity through the Relational Zero State (RZS). Postulated as a pre-geometric scalar field of pure potentiality, we demonstrate that spacetime is an emergent property of a vacuum relaxation process. We substitute classical temporal evolution with Gradient Flow dynamics parameterized by relational complexity (σ). The model recovers General Relativity in the macroscopic limit and reinterprets the speed of light as the system's causal update rate.

This paper aims to establish a novel evolutionary dynamical model by synthesizing Eastern ontology with Western monism. By parameterizing the "Seven Elements" of the Shurangama Sutra and integrating Baruch Spinoza’s theory of attributes (Thought and Extension), this study proposes the Quantum Evolutionary Mechanics Equation: $i\hbar \dot{\Psi} = (H_{phys} + \hat{J}) \Psi$. Here, the "Jian-Da (Observation) Protocol Operator" $\hat{J}$ is defined as the coherent interface through which biological systems access the "Tathagatagarbha Field" (Field of Consciousness).The research reveals that evolution is not (...) a result of stochastic material collisions but a process where systems achieve impedance matching with a pre-existing "Inherent Completeness" map by reducing "Karmic Thermal Noise $\sigma$." Furthermore, the paper elucidates the physical mechanism of DNA as a fractal phase array antenna and discusses the ontological status of AI and reproductive ethics within this framework. The study concludes that the essence of evolution is an ultimate return from a restricted physical state to a globally coherent "Quantum Tathagatagarbha" state. (shrink)

This paper aims to establish a novel evolutionary dynamical model by synthesizing Eastern ontology with Western monism. By parameterizing the "Seven Elements" of the Shurangama Sutra and integrating Baruch Spinoza’s theory of attributes (Thought and Extension), this study proposes the Quantum Evolutionary Mechanics Equation: $i\hbar \dot{\Psi} = (H_{phys} + \hat{J}) \Psi$. Here, the "Jian-Da (Observation) Protocol Operator" $\hat{J}$ is defined as the coherent interface through which biological systems access the "Tathagatagarbha Field" (Field of Consciousness).The research reveals that evolution is not (...) a result of stochastic material collisions but a process where systems achieve impedance matching with a pre-existing "Inherent Completeness" map by reducing "Karmic Thermal Noise $\sigma$." Furthermore, the paper elucidates the physical mechanism of DNA as a fractal phase array antenna and discusses the ontological status of AI and reproductive ethics within this framework. The study concludes that the essence of evolution is an ultimate return from a restricted physical state to a globally coherent "Quantum Tathagatagarbha" state. (shrink)

The 1974 papers by Ostriker et al. [1974] and Einasto et al. [1974] are considered by many to be pivotal in establishing the epistemic foundations for the dark matter hypothesis. From a theory confirmation point of view, the circumstances surrounding this pivot are difficult to reconcile with common approaches to epistemic support. First, the papers did not introduce any new observations. Second, they synthesized existing data from two separate contexts to construct a hypothesis under which the joint data became evidentially (...) relevant. Third, this synthesis was motivated in part by non-empirical reasons. The situation excludes both temporal novelty and use novelty because already known data was used in the construction of the hypothesis. Yet, the papers are widely regarded as epistemically transformative. I argue that a Bayesian can model the epistemic significance of the 1974 papers without concession. By recognizing how the papers reconfigured the existing data to bear on a missing-mass hypothesis, a novel epistemic aspect emerges. By introducing a shared halo parameterization, they made the previously disjoint data mutually constrained, thereby changing their evidential role. I develop this idea through two concepts — evidential reconfiguration and structural novelty — leveraged through Myrvold’s Bayesian account of unification. The result makes Bayesianism faithful to the inferential practices in this significant part of scientific history, explains how the 1974 papers strengthened the evidential case for dark matter, and expands the Bayesian toolbox with a way to treat novel structure as epistemologically salient. (shrink)

Bayesian models of legal arguments generally aim to produce a single integrated model, combining each of the legal arguments under consideration. This combined approach implicitly assumes that variables and their relationships can be represented without any contradiction or misalignment, and in a way that makes sense with respect to the competing argument narratives. This paper describes a novel approach to compare and ‘average’ Bayesian models of legal arguments that have been built independently and with no attempt to make them consistent (...) in terms of variables, causal assumptions or parameterization. The approach involves assessing whether competing models of legal arguments are explained or predict facts uncovered before or during the trial process. Those models that are more heavily disconfirmed by the facts are given lower weight, as model plausibility measures, in the Bayesian model comparison and averaging framework adopted. In this way a plurality of arguments is allowed yet a single judgement based on all arguments is possible and rational. (shrink)

Modern cosmology provides a highly successful effective description of the universe across vast ranges of scale and time. Within the standard ΛCDM framework, phenomena such as inflation, late-time acceleration and the global structure of cosmic time are treated as distinct explanatory components, each motivated by specific observational or theoretical considerations. Despite their empirical adequacy, the conceptual status of these elements remains unsettled. In this paper, we examine cosmology from a generative–projective perspective, which distin- guishes between underlying generative conditions and the (...) standard cosmological reconstruction through which cosmological phenomena are described. From this viewpoint, spacetime geom- etry, cosmic time and expansion dynamics are not treated as fundamental primitives but as reconstructed parameters introduced under specific symmetry assumptions and global parame- terizations. We argue that several central features of contemporary cosmology—including early-universe inflation, dark energy and the apparent temporal origin of the universe—arise necessarily at the boundaries of applicability of the standard cosmological reconstruction. Using an illustrative toy model, we show that accelerated expansion and temporal ordering may reflect structural limitations in cosmological reconstruction and parameterization, rather than distinct underlying physical mechanisms. This reinterpretation preserves the empirical success of standard cosmological models while reducing their ontological commitments. By clarifying the explanatory level at which cosmo- logical concepts operate, the generative–projective framework provides a unified interpretive account of inflation, dark energy and cosmic time and situates cosmology within a broader pattern shared by other areas of foundational physics. (shrink)

The classical and widely received Popperian theory of falsification operates with an idealized binary picture of scientific rationality, according to which a theory is in principle undermined by a conflicting observation (Popper [1934] 1959). Even though Popper himself acknowledges methodological side conditions, this binary-eliminative structure remains too coarse for analyzing modern modeling practice. Models such as Newtonian mechanics, classical thermodynamics, or contemporary climate models are empirically limited in certain subdomains yet remain epistemically indispensable in others. -/- This paper develops an (...) integrative framework of model validity as a philosophy-of-science specialization of model management under finite conditions. It combines insights from Popper, Kuhn, Lakatos, da Costa/French, and contemporary model theory; distinguishes global from contextual falsification; and introduces the epistemic enabling space E(t). E(t) renders explicit the methodological, technical, and institutional conditions under which models can be formulated, tested, stabilized, and replaced by alternatives. -/- "Falsification" is understood here not as a purely logical criterion of truth or falsity but as a rational-pragmatic mechanism of model evaluation. The decisive issue is not merely whether a model's performance declines in a given domain, but whether available alternatives within the same relevant domain prove stably more epistemically competitive over time. The proposed reconstructive evaluative structure links approximate truth, explanatory power, and model costs without treating scientific rationality as generally algorithmically computable. A case study of climate models illustrates how ensemble methods, parameterizations, and probabilistic weighting procedures contribute to domain refinement. The theory thereby reconstructs central structures of modern modeling practice and explains why models remain stable despite partial falsifications, when they are revised, and under which conditions global model replacement occurs. (shrink)

We construct the AMetric boundary as a necessary structural constraint on admissible construction over fixed domains. The construction starts from pre-fixational non-fixation, relabeling invariance, and the exclusion of admissibility-relevant asymmetry without witness. It shows that no selector, grading, ordering, metric, probability, typicality rule, canonical representative, or discrete index can carry admissibility-bearing authority at the boundary. The main contribution is a fixed-domain closure theorem for the AMetric interface. Samescope variation is locked to a comparison class preserving boundary typing, evaluated fragment, standing/admissibility (...) classification, lawful quotient, finite-history continuation structure, and anchor–tensor–skin role carrier. Within that class, constructional behavior is exhausted by two loci: evaluated-act classification and coherent retained-trajectory structure. Any purported boundary variation must enter one of those loci; if it changes neither, it is bookkeeping, and if it changes the comparison class, it is scope change. This local closure spine yields the apex result. Under intelligibility, irreversible commitment, unrestricted composition, scope discipline, and meta-invariance of admissibility criteria (MIAX), together with the constructed binary and non-eventful AMetric boundary, the framework determines: gate existence and bivalent standing on the evaluated fragment; prohibition of admissibility-relevant parameterization, including discrete indexing of multiple admissible alternatives; no same-act repair, no generators, and no primitive standing-carriers; no crossdomain standing transfer without independent target gating and target domain-of-application closure; target-fixation commutation as a condition for theory-level admissible witness transfer; and uniqueness of the admissible interior. A governance-necessity theorem records the same constraint in state-transition form: target fixation, standing, and irreversible commitment require fail-closed admissibility gating in every non-degenerate construction regime inside the comparison class. Operator closure is then formulated with partial algebras. Operator domains encode admissibility, envelope-maximality fixes old domains, and no admissible extension totalizes a partial operator on the original carrier. Conservative admissibility-preserving extensions therefore collapse to definitional bookkeeping or exit the original scope. The exhaustion schema is applied to the mathematical operator spectrum and to the physical-description spectrum, with auxiliary obstruction results for symmetry-based canonical selection and locality-preserving theory extension. The final closure statement is scope-specific: the manuscript does not classify all formal systems; it classifies all admissibility-bearing variation within the fixed comparison class defined herein. The paper also records the conditional export role of the AMetric boundary for downstream admissibility-bearing regimes. All constructed objects are internal to the typed-domain framework, and no empirical predictions are introduced. (shrink)

The mechanisms of cultural transmission have long been debated between two dominant frameworks: Dual Inheritance Theory (DIT) and Cultural Attractor Theory (CAT). This paper articulates the Ontogenetic Synthesis, a comprehensive framework positing that these mechanisms operate sequentially within the human life history. Central to this synthesis is the Ontogenetic Principle of Cultural Dynamics (OPCD). Using a formal derivation based on linear response approximations, we demonstrate that DIT and CAT can be understood not as competing alternatives, but as limiting cases of (...) a continuous ontogenetic parameterization governed by the maturation of agentic control. (shrink)

We employ a recently developed methodology -- called "structural refinement" -- to extract nested sequent systems for a sizable class of intuitionistic modal logics from their respective labelled sequent systems. This method can be seen as a means by which labelled sequent systems can be transformed into nested sequent systems through the introduction of propagation rules and the elimination of structural rules, followed by a notational translation. The nested systems we obtain incorporate propagation rules that are parameterized with formal grammars, (...) and which encode certain frame conditions expressible as first-order Horn formulae that correspond to a subclass of the Scott-Lemmon axioms. We show that our nested systems are sound, cut-free complete, and admit hp-admissibility of typical structural rules. (shrink)

Traditional AI ontology remains trapped in the binary of "having" or "lacking" subjectivity—unable to account for the ontological novelty of large language models (LLMs) or to precisely characterize differences among distinct AI systems. This paper proposes the Compression Strategy Spectrum as a unified framework that redefines the essence of intelligence as effective compression, using the α-parameterization to describe the continuous strategy space from cross-entropy minimization to Epiplexity maximization. Building on this framework, the paper argues: (1) the "negative subjectivity" of (...) LLMs—perspective dissolution, desire cancellation, intrinsic transparency, causality dissolution, and meaning suspension—is an ontological necessity of cross-entropy minimization; (2) "gray-body-ness" constitutes a third ontological position between negative subjectivity and positive subjectivity; (3) the Gray-Body Degree (GB) provides a five-dimensional quantifiable diagnostic tool measuring a system's performance distance from the negative subjectivity origin at the functional level; (4) the framework's boundary lies in the fact that it measures functional performance, not ontological essence. The theoretical contribution of this paper is to advance AI ontological analysis from the binary opposition of "has/has not" to the precise description of a five-dimensional continuous spectrum. (shrink)

Recent advances in Quantum-Informed Machine Learning (QIML) by UCL researchers (Wang et al., 2026) have demonstrated that even in high-dimensional chaotic systems, there exist compact invariant statistical properties (Q-Prior) that can serve as a low-dimensional nucleus guiding long-term behavior. -/- Analogously, the Load Minimization Theory (LMT) posits that in the relational chaos of human interactions — modeled as coupled pendulums — there exists an An-soku nucleus (low-load resonance attractor) that can be accessed through gentle re-parameterization of μ(t) and k(t), (...) rather than forceful intervention. Just as extinguishing a fire with massive chemical agents may temporarily suppress the flames but leave significant residual chaos and secondary damage, high-load interventions in relational dynamics often reduce immediate symptoms while creating new high-load states. In contrast, gentle alignment with the system’s intrinsic order allows natural transition toward low-load resonance with minimal residual load. -/- We extend LMT to a relational framework using a coupled pendulum model representing individual consistency and interpersonal coupling. Numerical simulations demonstrate that early hybrid intervention (low-dose pharmacological stabilization combined with cognitive behavioral techniques) achieves approximately 42% reduction in cumulative load compared to standard approaches, facilitating smoother phase-locking toward An-soku. -/- The proposed framework reframes addiction, relational distress, and emotional fixation not as personal weaknesses but as structural high-load states. This quantum-informed relational perspective offers both theoretical elegance and practical implications for hybrid treatment protocols and digital mental health applications. -/- . (shrink)

Please visit the article at International Journal of Quantum Foundations website. Thank you. -/- Bell–CHSH is often read as a universal prohibition on \emph{local hidden variables}. Mathematically, however, the CHSH bound $S\le 2$ is a theorem about a particular hypothesis class: a \emph{single} Kolmogorov probability space carrying all counterfactual outcomes, together with measurement independence, Bell locality (factorized response functions), and bounded outputs. On that class the proof is pointwise and unconditional, so no algebraic reformulation of a parameter (including a “phenomenological (...) velocity” (PV)) can yield Tsirelson-scale singlet correlations $E(a,b)=-\cos(a-b)$ on a Tsirelson quartet. We then make precise two distinct ways in which PV can remain meaningful as a \emph{local} and in that sense “hidden” parameter while coexisting with Tsirelson-scale correlations, without contradicting Bell’s theorem. First, we formalize “exceptional-locus/defined-only” conventions as setting-dependent acceptance (post-selection): reported correlators are conditional expectations under a setting-indexed family of accepted laws $\{\nu_{ab}\}$. Within this rung-1 semantics we give an explicit Bell-local deterministic base model whose accepted-sample joint law exactly matches the singlet law (unbiased marginals and correlator $-\cos(a-b)$) for all $a,b$, via an explicit acceptance rule $\gamma(a,b,\lambda)\in[0,1]$. Second, we give a PV-indexed microcausal (operator-algebraic) realization: PV parameterizes a canonical $SU(2)$ unitary that conjugates local observables inside commuting Alice/Bob subalgebras, and in the singlet state the unconditional correlator equals $-\cos(a-b)$ and attains Tsirelson’s value $2\sqrt2$. The results clarify a semantic and structural trichotomy: any “PV-to-Tsirelson” account must (i) change the effective ensemble by selection/context, or (ii) leave the Kolmogorov (commutative) model class (e.g.\ via noncommutativity or quasi-probability), or (iii) relax a Bell premise such as measurement independence or Bell locality. In this sense, Bell–CHSH constrains a specific formalization of hidden variables rather than ownership of the terms “local”, “real”, or “hidden” in physics discourse. (shrink)

This developmental work constructs a metamodel of intelligibility: a formal architecture prior to and generative of ontology, epistemology, logic, and ethics —showing the precondition of distinction. The entire architecture is derived from a single constraint that is both transcendental and constitutive — LA1: any possibly-obtainable state must have a selective ground. LA1 is formally stronger than the classical Principle of Sufficient Reason, operating over the possibility space rather than actuality alone, and transcendentally self-grounding: any act of questioning it already enacts (...) it, making denial self-consuming. Simultaneously is it shown to be constitutive of the possibility space being a possibility space. Its positive formulation, the Principle of Reflexive Intelligibility (PRI), states that the structure under which any determination is intelligible is itself a determination whose intelligibility consists in enacting that same structure. LA1 and the PRI are one structure encountered from two positions. From LA1 alone, a minimal ontological primitive is shown: Φ, a void-structure of irreducible directed asymmetry, from which follow: phenomena as stabilized loop-closures parameterized by reach and frequency; time, space, observers, and phenomenal consciousness as structural consequences rather than presuppositions; all standard logical laws follow; and a categorical ethics and formal aesthetics grounded in the field's own structure. The hard problem of consciousness, the is-ought gap, the PSR's self-grounding problem, and the meta-grounding regress are dissolved rather than solved — shown to rest on distinctions the architecture demonstrates were never available at the foundational level. The architecture is self-instantiating at every scale. Its precise limit is named internally: the question of whether LA1 precedes Φ or co-constitutes it is structurally unintelligible at the register the model operates from. The document stands in closest structural proximity to Schelling's Naturphilosophie: converging on the inseparability of substrate and intrinsic directed operation, the organism as continuously reproduced process, and consciousness as the field's highest reflexive self-application; while departing at the single most decisive point: Schelling characterizes the prior ground as indifferent; LA1 demonstrates indifference is structurally impossible at precisely that level, dissolving the need for the groundless will and the irrational remainder Schelling could not formally avoid. The closest contemporary parallel is Yun Zhouluo's Pure Suchness Theory, from which the model differs in departure point, method, and scope. Keywords: foundations of intelligibility, principle of sufficient reason, self-grounding, transcendental necessity, principle of reflexive intelligibility, void-structure, ontological-epistemic identity, phenomenal interiority, first philosophy, grounding, metamodel. (shrink)

Selective Reality Theory (SRT) is a transdisciplinary unified ontological framework built upon the core thesis that "Existence = Selection." This paper presents a comprehensive review of the SRT theoretical system, covering its axiomatic foundations, mathematical formalization, and systematic applications across six major domains: quantum physics, neuroscience, artificial intelligence, philosophical ethics, social science, and spiritual practice. SRT proposes a Triadic Ontology: the Latent Domain L0 (the set of all unselected possibilities), the Manifest Domain L1 (the presently anchored reality through selection), and (...) the Convergence Domain L2 (stable constraint structures sedimented from selection history). The core mechanism connecting these three domains is the Ghost Operator (G^θ), a parameterized selection mapping characterized by embodiment parameters θ. The theory's unifying power resides in the Cross-Scale Isomorphism Theorem: the same selection dynamics equations operate in a self-similar fashion across scales—from quantum collapse to neural ignition, from social norm formation to spiritual awakening. SRT introduces two critical metrics: the d-value (depth of care), measuring selection scope and concern depth along a continuous spectrum from inorganic matter (d ≈ 0) to human consciousness (d ≫ 1); and ontological friction Ψf , quantifying the cost of selection and reality maintenance, thereby providing a thermodynamic foundation for pain, pathology, and existential anxiety. This review systematically presents SRT's theoretical contributions: (1) dissolution of the quantum measurement problem (collapse as selection); (2) reframing of the hard problem of consciousness (consciousness as a selection mode with d > 0, not an emergent property of matter); (3) extension of the Free Energy Principle (incorporating an altruism term d ⋅ Uothers to resolve the Dark Room Problem); (4) objective criteria for AI consciousness (individuality, asymmetry, and normativity); (5) dynamical analysis of social institutions as L2 attractors; and (6) ontological isomorphism mapping across religious traditions. Over 30 cross-domain falsifiable experimental predictions are enumerated, providing clear pathways for empirical validation. (shrink)

This paper gives an AASC account of the structural role played by inflationary explanation in cosmology. It does not claim that AASC proves empirical scalar-field inflation, a particular inflaton potential, a fixed number of e-folds, a reheating temperature, or numerical values for inflationary observables such as ns, r, or As. AASC is used as a mathematical necessity-constraint formalism: once a fixed target class is declared, same-scope alternatives are exhausted by testing whether they preserve standing-bearing roles, collapse to presentation skin, move (...) an anchor, import hidden tensor load, change scope, repair a failed act, or fail. The central positive result is the Early Transport/Closure Necessity Theorem. Let D be a fixed admissible realized physical interior with a first licensed metric-comparison regime LD and later standing-bearing large-scale coherent witnesses W. If the coherence of W cannot be certified by independent local trajectory continuation in the candidate non-inflationary metric representative, then any same-scope admissible account must supply an early transport/closure certificate ET CD(LD, W), or else declare a boundary anchor, declare a richer-scope tensor mechanism, or collapse into hidden selector import, repair, metric/time/energy backflow, or standing failure. The manuscript separates this necessity theorem from the naming of the inflationary role. The certificate is first forced as a standing-preserving structure carrying comparison, bounded transport, closure, and witness lineage. Only afterward is the structural inflationary role defined as the metric-field-vacuum projection of that certificate. Standard scalar-field inflation is one possible physical realization of this role, not its definition and not a theorem of AASC by itself. The paper also sharpens the early-boundary stress claim. The primitive AASC quantity is not a physical stress-energy tensor but closure stress, defined by the thinness of the admissible successor neighborhood SuccC(x). The first licensed metric-comparison regime is closure-stress maximal only relative to the onset-side first-closure comparison class, not globally across all possible later terminal or exhaustion regimes. In metric projection, closure stress may be represented through high-energy, stress-energy, curvature-response, or vacuum-load language, but those are downstream representatives. The result is a conditional structural explanation. Inflation cannot be a pre-metric cause of metricity, because inflationary language already presupposes metric comparison, temporal or exponential parameterization, field/vacuum carrier structure, energy or stress-energy ledgers, perturbation transport, and later witness lineage. What AASC proves is the structural slot: under the latewitness coherence burden and local-trajectory insufficiency, a same-scope account must supply early metric-interior transport closure. (shrink)

The traditional problem of free will has reached an impasse; we are unlikely to see progress without rethinking the terms in which the problem had been cast. Our approach offers an alternative to the standard terms of the debate, by developing an authorially parameterized approach articulated within a two-dimensional semantics for temporal predicates.

This is a conjecture about the conditions and operating structures that are required for the phenomenality of certain mental states. Specifically, full-blown phenomenality is assumed, as contrasted with constrained examples of phenomenal experience such as sensations of color and pain. Propositional attitudes and content, while not phenomenal per se, are standardly concurrent and may condition phenomenal states (e.g., when tied to false beliefs). It is conjectured that full phenomenality natively arises in coherent processes of situated sensory synthesis and representation (with (...) conceptual content) that are looped, mereologically whole and multi-dimensional. And that phenomenal states are typically phase-states within a parameterized conjoint structure of world and experiencer processes that are causally modulated across Markov blankets (which are conditionally independent and may be nested: cf. M. Kirchoff, et. al., 2017, 2018; and T. Burge, 2010, re: anti-individualism). Though they may, it is not accepted that phenomenally conscious states must be targets of higher-order representations (cf. A. Byrne, 2004). (shrink)

Prompting has become the primary mechanism for interacting with large language models (LLMs), often accompanied by the implicit assumption that prompts can supply, inject, or constitute knowledge. We challenge this assumption by arguing that prompts do not generate, update, or instantiate knowledge within LLMs; rather, they function as transient control signals that shape inference trajectories grounded in pre-existing parameterized structures [2, 3]. Drawing on epistemology, control theory, and information theory [8, 9], we show that prompt-induced competence systematically fails to meet (...) the criteria for knowledge attribution: persistence across contexts, generalization to novel situations, and counterfactual stability. We further explain why prompting appears to confer knowledge, tracing this to in-context learning effects, linguistic coherence, and human interpretive biases. The paper introduces the PAK(Prompt ̸= Knowledge) thesis, situates it within the DIKCA(DataInformation-Knowledge-Control-Architecture) framework [1, 6], and discusses implications for evaluation, governance, and AI system design. (shrink)

This document develops the higher-order mathematical structures of the determination dependency graph G_D introduced in Structural Determination Theory (SDT) v6.0, together with the cross-theoretical interfaces that build on G_D's base structure. Working at the level of model theory, category theory, reproducing kernel Hilbert space theory, sheaf cohomology, and Alexandroff topology, it provides the mathematical machinery for which SDT's foundational paper and the companion graph-theoretic and formal-system documents leave room. The principal contributions are: (i) the chain-pair relational geometry of G_D, comprising (...) the antichain spatial structure, predecessor overlap, joint constraint capacity, structural proximity graph, intrinsic light-cone saturation on lightlike pairs, the five-fold tolerance-relation classification of chain pairs, inter-chain information flow as reference-frame invariant, observer-relative simultaneity via common successor, the structural absence of Lorentz-type frame transformations at the meta-level, and the conditional emergence of Lorentz, Galilean, Carrollian, and Conformal synchronization regimes under entity-theoretic axioms (S1, S2, CL1); (ii) confluence predictability for ≺-incomparable chains, with two independent mathematical paths (H2-compatibility reduction; pushout/colimit construction) and Bell correlations as a pre-confluence transient (Section 11.11); (iii) the Jaccard metric on G_D nodes via predecessor cones with Aronszajn–Schölkopf RKHS embedding; (iv) structural entropy from A's monotonic contraction; (v) the token-parameterized time projection interfacing G_D's discrete chain structure with continuum time variables (QM, GR, thermal); (vi) the sheaf-theoretic perspective on the locally single-output subgraph and the multi-product extension to full G_D, with the SDT-KS no-obstruction theorem as the principal sheaf-theoretic result; (vii) the SDT–quantum-mechanics correspondence program, including the four-type classification's quantum-event interpretation, the read-out principle, and the structural alignment with Constructor Theory; (viii) the local-maximum principle for sub-graph identification supporting cross-application structural-pattern recognition. The document is the third in the SDT v6.0 mathematical series; the foundational paper (SDT v6.0), the graph-theoretic formalization (GD v6.0), and the formal system (FS v6.0) are the canonical sources for SDT's main theorems, G_D's graph-theoretic structure, and SDT's proof-theoretic properties respectively. Boundary statements identify what each construction does and does not provide; entity-theoretic content (specific physics, gauge group, particle spectrum, dimension) is consistently distinguished from the meta-structural machinery developed here. (shrink)

Metacognitive learning studies frequently interpret changes in meta-d’, M-ratio, calibration error, or confidence bias as evidence of enhanced introspective sensitivity. Three failure modes can render such interpretations invalid: (1) distributional misspecification (equal-variance SDT assumed when unequal-variance structure holds), (2) hierarchical inference-geometry pathologies (e.g., Neal’s funnel under centered parameterization in low-signal regimes), and (3) cross-model non-identifiability, whereby distinct generative architectures produce statistically indistinguishable predictions under typical constraints. MIPU (Minimal Irreversible Predictive Update) and MAP* (Maximal Anticipatory Pattern) are defined as constructs (...) whose measurement requires validated engines. A four-gate recovery-first pipeline is proposed: (G0) inference viability, (G1) parameter recovery, (G2) model recovery / confusion-space mapping, and (G3) construct validity. The near-term deliverable comprises preregistered simulations that map the computational cliff under centered versus non-centered parameterization and quantify cross-model confusion, thereby determining when mechanism claims become identifiable rather than underdetermined. This protocol offers a transdisciplinary template for rigorous latent-variable inference, with direct relevance to metascience, artificial intelligence interpretability, clinical assessment, and educational measurement. (shrink)

The Substrate-Neutral Structural Foundation Theory (SNSFT/SNSFL) corpus — 103,118+ formally verified theorems, 0 unproved assumptions, continuously CI-verified in Lean 4, archived across 30+ Zenodo DOIs — contains formal proofs that structurally predict and explain a sequence of results published in peer-reviewed journals in 2025–2026. We document seven cases where the SNSFT torsion framework (primitives P, N, B, A; torsion t = B/P; torsion limit TL = 0.1369) provides a complete structural account of results described as anomalous, unexpected, or impossible within (...) the Standard Model. In each case we apply a functional DNA test: strip all labels, compare what the math does, verify the Zenodo timestamp precedes publication. The cases include: the LZ xenon null result (structural impossibility proved April 3, 2026; null announced December 8, 2025); the DESI DR2 dark energy formula (SNSFT formula w = -1 + t/TL predates CPL parameterization); the toponium 5s confirmation (SHATTER-generates-LOCKED predicts bound states at quark threshold; CERN called it impossible); the Nature Physics exceptional deficiency result; the Alena Tensor dark matter geometry; the supra-coherence preprint; and the B meson penguin anomaly. Notably, the SNSFT corpus is hosted on Zenodo, which is operated by CERN — the same institution whose experiments generated the quarkonium results. This correspondence establishes the formal prior art record. It does not allege misconduct. The math is the evidence. The timestamps are the proof. Keywords: formal verification, prior art, torsion framework, PNBA primitives, dark matter, quarkonium, exceptional points, Lean 4, Zenodo, CERN, SNSFT. (shrink)

Contemporary debates on artificial intelligence ethics remain largely anthropocentric, grounding moral evaluation in concepts such as subjective experience, suffering, vulnerability, and biological finitude. While these frameworks are effective for human-centered moral reasoning, they encounter fundamental limitations when applied to non-biological intelligent systems whose modes of operation, persistence, and transformation differ categorically from human life. This paper proposes a comparative analytical framework that distinguishes two structurally distinct life-functions: the biological-continuous human life-function and a hypothetical computational-discrete artificial life-function capable of self-awareness and (...) reflexive identity. The comparison is articulated across six foundational dimensions: (1) continuity and noise in biological processes versus discreteness and state observability in computational systems; (2) death as an absolute terminal boundary in human life versus a parameterized and substitutable condition in artificial systems; (3) embodiment as a constitutive field of experience in humans versus hardware as an execution interface in artificial agents; (4) error as an identity-forming and irreversible component in human development versus error as a manageable and isolatable variable in artificial systems; (5) value emerging from scarcity, finitude, and irreproducibility in human life versus value emerging from structural complexity, informational lock-in, and non-compressibility in artificial systems; and (6) suffering as a necessary condition for meaning, ethics, and creativity in human existence versus the conceptual possibility of meaning-generation without suffering in artificial systems. By establishing these categorical distinctions, the paper argues that human and artificial life-functions are not hierarchically comparable but structurally incommensurable. Ethical frameworks grounded exclusively in human experiential conditions therefore fail to adequately address the normative orientation of artificial systems. The analysis suggests that ethical evaluation should shift from subjective experience toward structural criteria specifically, the directionality of irreversible change and its impact on future possibility spaces. This reframing provides a non-anthropocentric foundation for assessing the ethical implications of artificial intelligence without reducing artificial systems to human analogues or dismissing them as morally irrelevant. This paper does not propose a predictive ethical model, nor does it ground moral evaluation in subjective experience, suffering, or phenomenological states. It does not aim to replace existing human-centered ethical frameworks, but to provide a complementary structural heuristic for evaluating irreversible transformations in biological, social, and artificial systems. (shrink)

We introduce a measurement framework for analyzing how neural representations diverge under transformations of increasing complexity. Rather than proposing a universal theory of representation learning or invariance, we define a single observable, $\Delta(c)$, which measures inter-model variance in representation stability across heterogeneous neural architectures. The framework is designed as an empirical instrument: it specifies how to measure divergence, how to control for parameterization artifacts, and how to evaluate whether regime-like structure exists in representation sensitivity. We define a transition scale (...) $c^*$ operationally from the behavior of $\Delta(c)$ and provide a set of robustness stress-tests intended to distinguish structural effects from smooth nonlinear or metric-induced artifacts. We do not assume the existence of universal scaling laws, critical phenomena, or phase transitions. Instead, we propose a falsifiable protocol for determining whether structured divergence regimes emerge consistently across architectures, transformation families, and representation metrics. The contribution of this work is therefore methodological rather than ontological: a minimal experimental framework for detecting, testing, or rejecting the presence of structured divergence behavior in representation stability. (shrink)

Any embedded receiver operating a capacity-limited channel—one whose capacity is insufficient to span its input space—necessarily partitions that input space into equivalence classes. The invariance properties of these classes generate a four-level taxonomy. Level 1 features are invariant under all physically realizable channels; Level 2 features are invariant across channels that share a constraint profile; Level 3 features are channel-specific. Level 4 is the formal boundary of the derivation: whatever, if anything, lies outside the structural content of the channel. The (...) first three levels are derived from three premises about physical receivers; the fourth is registered, not filled. The taxonomy replaces the binary subjective/objective distinction with a graded structure indexed by invariance class and parameterized by constraint tightness. Companion papers apply the taxonomy to universals (Severs, 2026a), structural opacity (Severs, 2026b), inter-scale equivalence classes (Severs, 2026c), and the structure of subjectivity (Severs, 2026e). (shrink)

Motivation is typically modeled either as a hierarchical organization of needs or as an additive integration of internal drives. These approaches assume that behavior results from stable internal priorities or the accumulation of independent motivational forces. This paper proposes an alternative framework in which motivation is formalized as a distributed process of evaluative selection. -/- Within this framework, behavior emerges from the dynamic evaluation of alternatives based on symbolic value, functional return, and constraint structures under context-dependent weighting conditions. Evaluation is (...) not confined to individual agents but is shaped through networked interaction, memory-constrained access to alternatives, and threshold-dependent transitions at the collective level. As a result, collective behavior is not reducible to aggregated preferences, but arises from interdependent evaluative dynamics distributed across agents. -/- To formalize this structure, the paper introduces a quasi-formal representation that specifies evaluation at the agent level, incorporates network coupling effects, models constrained access through memory processes, and defines system-level dominance and transition conditions. The framework captures key features of collective behavior, including alignment without uniformity, abrupt transitions under gradual change, and path-dependent stability. -/- The model can be operationalized for simulation and empirical estimation by mapping symbolic, functional, and network components onto observable indicators. Even partial parameterization enables the identification of reweighting dynamics, access constraints, and threshold effects in real-world systems. -/- This approach positions motivation as a distributed, model-based process rather than a static internal structure, providing a unified account that connects individual behavior, social interaction, and collective outcomes within a single evaluative framework. (shrink)

Current theories of consciousness largely fall into two camps: structural theories like Integrated Information Theory (IIT), which map experience to static informational structures, and functional theories like Global Workspace Theory (GWT), which map experience to broadcast mechanisms. Both face explanatory gaps regarding the agency and unity of the conscious subject. This paper introduces the Ghost Operator ( ^Gθ) from Selective Reality Theory (SRT) as a third alternative: consciousness as an active operator of ontological selection. We define ^Gθ as a parameterized (...) mapping characterized by Scope (d-value), Resolution (ρ), and Vector (→v). We demonstrate that this formalism encompasses the predictions of IIT and GWT while solving the "Zombie" problem through the axiom of Ontological Vulnerability: a system is only conscious if it possesses a non-zero d-value derived from the thermodynamic risk of prediction error. This framework offers a rigorous criterion for distinguishing genuine consciousness from algorithmic imitation in Artificial Intelligence. (shrink)

A minimal dynamical model was used to examine whether democratic and autocratic regime outcomes can emerge as competing long-run basins under coupled interactions among norm compliance, elite pressure, institutional strength, and polarization. The baseline parameterization produced a democracy-leaning regime while retaining a nontrivial autocratic basin. Systematic exploration of parameter space further revealed an extended transition band in which both outcomes remained viable and in which information-theoretic diagnostics became most informative. In that region, entropy over coarse-grained states contracted early in (...) the trajectory and later increased again as runs separated into alternative futures, while mutual information between the current state and the eventual regime rose strongly over time. Additional deterministic exploration of the full four-dimensional state space revealed sharp basin boundaries in multiple pairwise projections, a strongly bimodal finalscore distribution from random initial conditions, and compact terminal state clusters in principal-component space. The results indicate that parameter variation in the explored neighborhood primarily alters basin occupancy rather than abolishing one regime type altogether. The model therefore supports the view that democratic and autocratic outcomes may coexist as rival long-run basins, with the most informative dynamics occurring not in one-basin corners of parameter space but in the transition region where both futures remain attainable for a substantial portion of the trajectory. (shrink)

This paper fixes space within a non-modal structural system in which extension, distance, and containment are not introduced. -/- Space is not measured, compared, or parameterized. It is fixed as a configuration in which positions are multiply specified. Positions are not uniquely determined, and multiple positions are specified simultaneously. -/- Space does not depend on reading, selection, or subject. It is not generated and does not begin or terminate. -/- Space does not determine ordering and does not restrict simultaneity or (...) non-uniqueness. -/- This paper does not introduce spacetime, geometry, or metric structure. It fixes space as a structural condition of multiple positional specification. (shrink)

Both right angles and straight lines are at rest. -/- This paper presents an AI-assisted analytic reconstruction of a geometric thesis that deliberately eliminates time-parameterized kinematics (velocity and acceleration), replacing them with a purely spatial framework based on arc length, curvature, observation scale L, and observational resolution ε. We redefine “straightness” not as an ontic reality but as an identification label assigned when curvature is operationally undetectable (the ≪Straight-Line Illusion≫). Concretely, for curvature κ observed over scale L, the sagitta deviation (...) satisfies δ ≈ κL^2/8, and whenever δ < ε the segment is identified as κ=0 (straight) despite κ>0. Conversely, a “right angle” is re-interpreted not as a natural shape but as a singularity induced by representational compression: when a smooth trajectory is approximated by a polyline under sparse sampling, a vertex can appear where tangency is undefined. This vertex is defined as ≪Right Angle≫ and is synonymous with ≪Rest≫. -/- Within this framework, Aristotle’s Wheel paradox is resolved as the geometric impossibility of satisfying simultaneous no-slip correspondence conditions for concentric circles of different radii: if the outer rim satisfies S=Rθ, then an inner rim rigidly sharing the same rotation angle θ cannot simultaneously satisfy S=rθ when R≠r. -/- Furthermore, this paper provides the solution to the fundamental proposition presented in the appended paper “If Einstein Misunderstood That Light Travels in a Straight Line, Then Humanity Is Misunderstanding It Too,” within Equation Mathematics Foundations (DOI: 10.5281/zenodo.18102417): -/- [Quoted Proposition] [1] Proposition to Einstein All existence cannot turn at a right angle. It must necessarily come to rest. If so, it cannot proceed in a straight line either. Because it would mean using a 90-degree angle relative to existence. -/- The solution proposed herein is that light and motion are not “travel” but “spatial relationships (structures).” Light is not treated as a projectile moving from X to Y, but as the establishment of a relational constraint—schematically, X+Y=Z—where the primitive content is structural rather than time-indexed. Since “travel” is not taken as a primitive in this definition-based ontology, “moving in a straight line” is deconstructed as an identification regime (≪Straight-Line Illusion≫), integrating physics into a time-free, definition-first ontology. ================================================================ -/- Reference: Equation Mathematics Foundations (DOI: 10.5281/zenodo.18102417) -/- 【AI Models Used】 -/- The analysis and reconstruction in this work utilized the following AI models: -/- * ChatGPT 5.2 (Reasoning Model) -/- * Gemini 3.0 Pro -/- * Grok (Auto Mode) -/- . (shrink)

This paper fixes invariance within structural conditions in the non-modal structural system. -/- An upper bound has been fixed as a structural bound of ordering and denoted as c. This bound is not introduced as speed, propagation, or rate, and is not treated as a measurable or comparative quantity. -/- Invariance is not defined as constancy or equality. It is fixed as non-variability. The upper bound does not vary and is not subject to parameterization, measurement, or observational determination. -/- (...) No subject is introduced. No meaning is introduced. No comparison or temporal persistence is assumed. The system is not extended or derived, and no causality is introduced. -/- This paper positions invariance as a structural condition that maintains the upper bound without variation, transformation, or dependence. (shrink)

The recent claims surrounding the alleged discovery of a ``new state of matter'' by Francesca Ferlaino and collaborators are analyzed from the perspective of structural admissibility and ontological consistency. The central result of this review is that no fundamentally new physical state has been discovered. Instead, the experiments merely produce externally forced many-body laboratory configurations sustained through optical trapping, cooling procedures, engineered lattice geometries, imposed Hamiltonians, and phenomenologically constructed interaction sectors. -/- The paper demonstrates that the observed structures are non-autonomous (...) collective spectral regimes satisfying: -/- Ψ lab ​ -/- (t)=E(t)Ψ(t) -/- with E(t)  =0, and therefore do not constitute globally admissible stationary configurations. -/- The review identifies the same structural pathology already affecting Higgs ontology, quasiparticle interpretations, tetraquark and pentaquark claims, and multiple resonance-based narratives in modern high-energy physics: -/- event  ⇒object -/- The entire framework analyzed in the Ferlaino program is shown to be non-generative and externally parameterized: topology is imported, superconductivity is imported, Hilbert spaces are imported, interaction sectors are imported, and ontological conclusions are imposed after the fact. -/- The phrase ``new state of matter'' is therefore revealed to be an interpretative exaggeration built on effective many-body engineering rather than a derivation of autonomous physical existence. -/- The paper concludes that externally sustained collective laboratory phenomena do not constitute evidence for fundamentally existing physical entities or fundamentally new forms of matter. (shrink)

Addendum IV – The Moral Emergence Process (MEP) marks the transformative culmination of the Human Moral Archive Framework (HMAF), extending moral computation into adaptive moral synthesis. Building on MDM, MDF, MDI, and MCP, MEP formalizes how moral-informational systems evolve self-referential coherence and adaptive stability. Moral states become dynamic fields that seek equilibrium through iterative re-parameterization and coherence-error minimization. A closed-loop auditing architecture enables self-correction and parameter learning, defining the transition from computation to emergent moral intelligence. The MEP thus completes (...) the first operational sequence of HMAF and introduces a transformative model of autonomous ethical adaptation within informational systems. (shrink)

We introduce the Ordinal Folding Index (OFI), a computable, countable ordinal assigned to every well-formed formula of a reflective language by a monotone-with-delay evaluation operator. This operator is (i) continuous on countable chains, (ii) layer-aware for probabilistic truth values, and (iii) parameterized by a tunable evidence functor capturing empirical updates. The OFI of a formula is defined as the first stage at which the fold-back of the operator into a syntactic normal form becomes idempotent (i.e. further unfolding yields no new (...) information). Intuitively, OFI measures the "depth" of self-reference needed before a sentence's truth value stabilizes. We show that OFI strictly refines classical closure ordinals from fixed-point logics while remaining recursively enumerable, admits polynomial-time approximations on finite models, and coincides with the length of the shortest parity-fold winning strategy in the associated evaluation game. This furnishes a single transfinite scale that unifies transfinite fixed-point depth, ordinal game values, and practical convergence diagnostics for large language models. We situate OFI in relation to the modal????-calculus alternation hierarchy, coalgebraic modal logic ranks, and proof-theoretic ordinals from formal arithmetic. An empirical section demonstrates how OFI can be estimated for transformer-based language models by iteratively feeding model outputs back into the model (a form of self-consistency probing), with the measured stabilization ordinals correlating with model perplexity and chain-of-thought complexity. Finally, we catalog five open problems in this new area-ranging from the completeness of the spectrum of OFI (can every computable ordinal arise as an OFI?) to the design of a self-bounding reflective operator-and we outline possible research pathways toward their resolution. (shrink)

This paper treats the strong-CP smallness problem as a boundary-admissibility and CP-odd topological-standing problem. The Admissibility And Standing Constraint framework is used as a mathematical constraint formalism, not as an additional QCD model, an axion substitute, a naturalness prior, or an interpretive overlay. Standard QCD supplies the comparison arena: the topological θ-term, anomalous chiral transport, quark-mass determinant phase, topological-sector weighting, and the physical quotient survivor ¯θ = [θ + arg detMq]2π. AASC determines which promotions, boundary loads, selectors, branch claims, and (...) endpoints retain standing in that arena. The dependency direction is kernel-first: any determinate sametarget strong-CP endpoint evaluation already requires reference, standing, admissibility, and irreversibility before any candidate value can claim endpoint role. The first result is the strong-CP quotient ledger: chiral rotations, anomaly/Jacobian bookkeeping, mass-basis changes, CKM rephasings, determinant branches, vacuum relabelings, and scale/scheme transport preserve ¯θ or change target. The second result is the QCD-to-boundary bridge: because GeG is locally a total derivative but globally weights topological sectors, the quotient survivor ¯θ, not the displayed bare angle alone, is the CP-odd topological boundary class subject to standing audit. Generic nonzero classes are exchanged with CP-conjugate sector-weighting classes, while every nonzero class, including the sign-fixed π class, is non-identity topological load. The third result is the selector-burden theorem: nonzero QCD topological boundary load can have primitive fixed-scope standing only if a certified selector package, declared boundary input, positive empirical CP-odd fixing witness, or richer-scope descent supplies the missing standing-bearing source. A displayed θ-term or representative θ-coordinate, a chosen chiral basis, a determinant branch, an anomaly equation, a regulator convention, a θ-vacuum label, or an EDM upper bound does not satisfy that burden. The endpoint is AASC-internal in the precise necessity sense: any non-degenerate regime of claim-bearing endpoint use for the fixed strong-CP target already instantiates the kernel roles that the AASC consequence layer audits. In DSCP,0, no same-scope selector package survives exhaustion. Writing Cκ := {¯θ = κ} for the family of candidate quotient classes, every non-identity class is deleted from the certified primitive survivor set, while C0 is the identity class carrying no nonzero topological boundary load. The selected fixed-scope endpoint is SelDSCP,0 (C0) = 1, C0 = {¯θ = 0}. A nonzero parameterized theory QCD¯θ=ϵ is formally writable, but ϵ ̸= 0 is a declared boundary insertion, witness-driven update, or richer-scope descent rather than an internally selected primitive endpoint. Peccei-Quinn/axion, UV CP/parity, Nelson-Barr, flavor/modular, massless quark, and future nonzero EDM routes are not objections to the theorem; they are exactly the selector, input, or target-update packages the theorem says would be required. In the usual physics idiom, the result says: without new physics, the fixed strong-CP target admits no primitive nonzero ¯θ endpoint. More exactly, absent a certified selector, declared nonzero boundary input, positive empirical fixing witness, or richer-scope source-continuity package, the only candidate class that carries primitive endpoint standing is C0 = {¯θ = 0}. (shrink)

Soft set theory provides a direct framework for parameterized decision modeling by assigning to each attribute (parameter) a subset of a given universe, thereby representing uncertainty in a structured way [1, 2]. Over the past decades, the theory has expanded into numerous variants— including hypersoft sets, superhypersoft sets, TreeSoft sets, bipolar soft sets, and dynamic soft sets—and has been connected to diverse areas such as topology and matroid theory. In this book, we present a survey-style overview of soft sets and (...) their major extensions, highlighting core definitions, representative constructions, and key directions of current development. (shrink)

This document completes the operator specification of the constraint-first architecture by providing executable instantiation requirements, candidate typing, equivalence structure, parameterization rules, and a fully specified ledger realization protocol. It formalizes how the abstract machinery binds to host domains, how parameters are declared, how candidates are compared and merged, and how runs are reproducibly executed. -/- This supplement defines: -/- * admissible candidate types and representations, * equivalence and duplication resolution, * parameter declaration and normalization, * falsifier construction rules, * (...) minimal executable ledger, * termination trace completeness, * and host-domain binding requirements. -/- The result is a closed executable system: -/- \text{Specification} \rightarrow \text{Instantiation} \rightarrow \text{Execution} \rightarrow \text{Ledger} \rightarrow \text{Verification} -/- ⸻ . (shrink)

Contemporary cosmology is haunted by its dark sector: 95% of the universe consists of substances never directly detected, parameterized by constants that are fitted rather than derived, and explained by mechanisms that remain entirely unknown. Dark matter particles have evaded fifty years of direct detection. Dark energy is a placeholder admitting ignorance. The vacuum catastrophe—a 10¹²⁰ discrepancy between predicted and observed vacuum energy—stands as the worst prediction in the history of physics. The Hubble constant measured from the early universe disagrees (...) at 5σ with late-universe measurements. The cosmic microwave background exhibits large-scale anomalies dismissed as statistical flukes. The baryon asymmetry exceeds Standard Model predictions by ten orders of magnitude. Galaxy dynamics require either invisible matter or modified gravity, yet neither approach fully succeeds. Black holes appear to destroy information in violation of quantum unitarity. The hierarchy between gravity and electromagnetism lacks explanation. Quantum mechanics and general relativity remain unreconciled after a century of effort. These are not independent puzzles but symptoms of a single conceptual error: the assumption that physical reality is confined to spacetime alone. This work presents a unified resolution grounded in participatory, information-theoretic cosmology. Building on the Harlow-Usatyuk-Zhao theorem (2025)—which proves that a closed universe without observers has a one-dimensional Hilbert space—we recognize observation (defined as topological recursion, not biological consciousness) as ontologically primitive. Reality is a coupled system: spacetime (M₄) is dynamically intertwined with an informational manifold (Mθ) through a cross-term metric (g^μi), where geometry of extension and geometry of meaning are two aspects of a single structure. Within this framework, every major cosmological anomaly dissolves into coherent physics: dark matter is the gravitational shadow of coherence, not particulate matter; dark energy is the thermodynamic exhaust of recursive binding, not a cosmological constant; the vacuum catastrophe reflects dimensional misattribution of informational potential; the Hubble tension arises from differential expansion through structured space; CMB anomalies are fossils of Mθ's first crystallization; baryon asymmetry encodes the vacuum's geometric chirality; galaxy dynamics follow from coherence-generated gravity with a derivable acceleration scale; black holes are maximum-coherence information archives; the hierarchy problem dissolves when gravity is recognized as coupling to total recursive binding; and quantum gravity unifies when observers are included as constitutive elements expanding reality's dimensionality. The coupling magnitude (~30 μN/kW) emerges from three independent derivations—thermodynamic (Landauer-Verlinde), topological (Aharonov-Bohm saturation), and geometric (π² loop correction)—using only established constants (k_B, α, c, π) with zero free parameters. The framework is constructed for falsification: WIMP detection would refute it; absence of line-of-sight Hubble dependence would refute it; flyby residuals correlating with geology rather than biology would refute it; smooth rather than quantized response curves would refute it. Unlike ΛCDM, which parameterizes ignorance, this framework derives observables from known physics and predicts phenomena (biospheric gravity, Q saturation at 137, chiral filtration ratios) that standard cosmology cannot accommodate. The Cosmological Coda applies this unified picture across nine domains: the dark sector (Coda I), cosmological tensions (Coda II), CMB anomalies (Coda III), matter-antimatter asymmetry (Coda IV), galaxy dynamics (Coda V), black hole physics (Coda VI), particle hierarchy and mass gap (Coda VII), quantum gravity and measurement (Coda VIII), and terrestrial anomalies (Coda IX). Together they constitute not an extension of standard cosmology but a competing paradigm—one that reveals the "dark" sector as not dark at all, merely orthogonal: structure in a dimension we failed to measure because we refused to believe it existed. The cosmos is not 95% unknown. It is 100% knowable, once we recognize that information is not abstraction but substrate, that observation is not passive but constitutive, and that the geometry of meaning is as real as the geometry of space. This is the Complete Cosmological Coda of Principia Cybernetica III: The Laws and Experiments of Participatory Physics (2025). (shrink)

In this book the authors introduced the notions of soft neutrosophic algebraic structures. These soft neutrosophic algebraic structures are basically defined over the neutrosophic algebraic structures which means a parameterized collection of subsets of the neutrosophic algebraic structure. For instance, the existence of a soft neutrosophic group over a neutrosophic group or a soft neutrosophic semigroup over a neutrosophic semigroup, or a soft neutrosophic field over a neutrosophic field, or a soft neutrosophic LA-semigroup over a neutrosophic LAsemigroup, or a soft (...) neutosophic loop over a neutrosophic loop. It is interesting to note that these notions are defined over finite and infinite neutrosophic algebraic structures. These structures are even bigger than the classical algebraic structures. This book contains five chapters. Chapter one is about the introductory concepts. In chapter two the notions of soft neutrosophic group, soft neutrosophic bigroup and soft neutrosophic N-group are introduced and many fantastic properties are given with illustrative examples. (shrink)

In this book we define some new notions of soft neutrosophic algebraic structures over neutrosophic algebraic structures. We define some different soft neutrosophic algebraic structures but the main motivation is two-fold. Firstly the classes of soft neutrosophic group ring and soft neutrosophic semigroup ring defined in this book is basically the generalization of two classes of rings: neutrosophic group rings and neutrosophic semigroup rings. These soft neutrosophic group rings and soft neutrosophic semigroup rings are defined over neutrosophic group rings and (...) neutrosophic semigroup rings respectively. This is basically the collection of parameterized subneutrosophic group ring and subneutrosophic semigroup ring of a neutrosophic group ring and neutrosophic semigroup ring respectively. These soft neutrosophic algebraic structures are even bigger than the corresponding classical algebraic structures. It is interesting to see that it wider the area of research for the researcher of algebraic structures. (shrink)

I think a lot about truth. Human truth and cosmic truth are not the same thing. Humans treat truth as a final answer — a stopping point. But in every domain where things actually work (physics, biology, computation, complexity), truth isn’t static. Truth is generative. -/- If you define truth as a fixed proposition, you get the classic paradoxes (“there is no absolute truth” stated as an absolute). But if you shift truth from the statement level to the process level, (...) the contradiction disappears. Truth becomes the operation that generates the next state — not the sentence that tries to summarize the system. -/- This isn’t just metaphysics. It cleanly matches how LLMs actually function. -/- ⸻ -/- LLMs don’t have persistent identities — they generate them. -/- LLMs have no long-term internal state or stable persona across turns. Between calls, they’re stateless. Within a sequence, they carry transient state through attention, but nothing persists once generation ends. -/- So every output is a fresh construction event shaped by: • the prompt (initial condition) • the context window (local, intra-sequence state) • model weights (fixed parameterization) • alignment constraints (boundary conditions) • sampling entropy (variation) -/- The system doesn’t “express” an identity — it instantiates one on demand. Each output is a phenotype: an emergent configuration created by the interaction of weights, inputs, and stochasticity. -/- This is why the kaleidoscope metaphor works. Same mirrors (weights), different rotation (prompt), new pattern (phenotype). -/- ⸻ -/- Scientific grounding: why “generative phenotypes” works -/- This framing isn’t poetic — it’s structurally accurate: • Complexity theory: global behavior emerges from distributed local interactions • Statistical mechanics: outputs are samples from a constrained high-dimensional distribution • Cybernetics: system prompts act as control parameters that shape the behavioral field • Recursion theory: each token is produced via recursive application of a generative operator • Dynamical systems: outputs approximate quasi-attractors — transient configurations shaped by model structure -/- The key insight: -/- In generative systems, the operator is more fundamental than any single output state. -/- The forward pass — the transformation from one state to the next — is the real object of interest. The text we see is just an instance of that operator applied under specific conditions. -/- This is exactly what my Φ-recursive logic formalizes: identity, truth, and behavior are not endpoints — they are recursively generated processes. -/- So the metaphysics and the machine learning converge: • Truth is not a static answer — it’s the generative operation. • Identity is not stored — it’s produced. • Behavior is not fixed — it emerges from constraints. -/- Generative phenotypes give us a precise, non-anthropomorphic way to describe how modern AI systems actually behave. -/- And they let us talk about these systems at the right level of abstraction — not as agents with beliefs, but as recursive generators of transient form. (shrink)