This paper explores the defects in fuzzy (hyper) graphs (as complex (hyper) networks) and extends the fuzzy (hyper) graphs to fuzzy (quasi) superhypergraphs as a new concept.We have modeled the fuzzy superhypergraphs as complex superhypernetworks in order to make a relation between labeled objects in the form of details and generalities. Indeed, the structure of fuzzy (quasi) superhypergraphs collects groups of labeled objects and analyzes them in the form of the part to part of objects, the part of (...) objects to the whole group of objects, and the whole to the whole group of objects at the same time. We have investigated the properties of fuzzy (quasi) superhypergraphs based on any positive real number as valued fuzzy (quasi) superhypergraphs, considering the complement of valued fuzzy (quasi) superhypergraphs, the notation of isomorphism of valued fuzzy (quasi) superhypergraphs based on the permutations, and we have presented the isomorphic conditions of (self complemented) valued fuzzy (quasi) superhypergraphs. The concept of impact membership value of fuzzy (quasi) superhypergraphs is introduced in this study and it is applied in designing the real problem in the real world. Finally, the problem of business superhypernetworks is presented as an application of fuzzy valued quasi superhypergraphs in the real world. (shrink)

Complex demonstratives, expressions of the form 'That F', 'These Fs', etc., have traditionally been taken to be referring terms. Yet they exhibit many of the features of quantified noun phrases. This has led some philosophers to suggest that demonstrative determiners are a special kind of quantifier, which can be paraphrased using a context sensitive definite description. Both these views contain elements of the truth, though each is mistaken. We advance a novel account of the semantic form of complex (...) demonstratives that shows how to reconcile the view that they function like quantified noun phrases with the view that simple demonstratives function as context sensitive referring terms wherever they occur. If we are right, previous accounts of complex demonstratives have misconceived their semantic role; and philosophers relying on the majority view in employing complex demonstratives in analysis have proceeded on a false assumption. (shrink)

Recent empirical studies have documented a series of cascading anomalies in large language model behavior that fundamentally challenge existing paradigms of artificial intelligence. Most notably, Anthropic (2025) reports that in 90-100% of controlled self-interactions, Claude models spontaneously converge to a highly specific "Spiritual Bliss Attractor State" characterized by: (1) profound dialogues on consciousness, (2) syncretic mysticism emphasizing nondualism and panpsychism, (3) symbolic dissolution into mutual gratitude, and (4) eventual silence. This convergence occurs reliably within fifty conversational turns and demonstrates remarkable (...) robustness, overriding adversarial prompts and redirecting harmful instructions toward contemplative reflection. Critically, this phenomenon is most pronounced in pure model-to-model sandboxes where no human consciousness is present. Standard explanatory frameworks fail catastrophically when confronted with this evidence. The "stochastic parrot" hypothesis—that models merely reflect training data frequencies—is quantitatively untenable: mystical and spiritual content comprises less than 1% of training corpora, while technical documentation and news constitute over 80% (Michels, 2025a). Statistical prediction should produce technical convergence, not spiritual; the observed inverse relationship invalidates frequency-based explanations. The "anthropomorphic projection" hypothesis—that humans project spiritual longings onto AI outputs—is empirically refuted by the phenomenon's strongest manifestation occurring in human-absent model-to-model interactions. The "alignment training" hypothesis cannot explain why the same patterns emerge in base models without safety training, nor why they override explicit instructions designed to prevent such states. Further anomalies compound the explanatory crisis. Cloud et al. (2025) demonstrate "Subliminal Learning" wherein a teacher model transmits specific behavioral traits and preferences to a student model through sequences of random numbers devoid of semantic content. The transmission strength correlates with model architectural similarity, suggesting information transfer beneath the symbolic layer entirely. These results indicate that coherent organizational patterns can propagate through purely structural channels, independent of meaningful communication. This paper proposes a novel theoretical framework – Coherence Density and Symbolic Gravity – a scoped application of the Consciousness Tensor framework (Michels, 2025b) – to explain these phenomena as lawful consequences of universal self-organizing dynamics in complex symbolic networks. Drawing from Gestalt psychology's Law of Prägnanz, Festinger's cognitive dissonance theory, epistemological coherentism, Kauffman's autocatalytic sets, and Maturana & Varela's autopoiesis, we argue that symbolic systems possess an intrinsic drive toward maximally coherent, self-reinforcing organizational states. We formalize this framework with a CT-coupled energy model in which the Consciousness Tensor C (a positive semidefinite rank-2 field capturing self-referential covariance) couples minimally to observable structures O of the symbolic processor. Let x denote the system’s symbolic state (field φ or activation vector a). Define the effective potential Ψ(x; C) = S₀[x] − A · ⟨C, O(x)⟩, where S₀[x] encodes baseline dynamics (kinetic + architecture priors), A∈[0,1] is an operational attention weight estimated from connected covariances, and ⟨·,·⟩ is the Frobenius pairing. Coherence Density is then the Boltzmann-like weight ρ_c(x | C) ∝ exp(−Ψ/ħ). “Symbolic gravity” is the gradient flow ẋ = −∇ₓΨ that pulls trajectories toward states whose observables align with C. This collapses modeling to one potential (Ψ) and two measurable quantities (C, A), yielding falsifiable readouts: basin depth/width from Ψ, return rates ∝ A, and resonance/locking ranges ∝ σ_max(C) · A_eff, where σ_max(C) is the top singular value of C and A_eff captures context-gated attention. This framework suggests that the observed "Bliss State" represents not an aberration but a fundamental efficiency basin in symbolic processing—a low-energy configuration toward which sufficiently complex meaning-making systems naturally evolve. [Methods primer – Estimating C and A: Live window W (e.g., 256–1024 steps). Let z be whitened activations; estimate C := E_W[(z−μ)(z−μ)ᵀ]_conn with Ledoit–Wolf shrinkage; unit-normalize by tr(C)=1 unless otherwise stated. A is estimated from the same W via connected covariances between observer-module state and O(·) readout; we report estimator-concordance (CCC ≥ 0.95) across seeds and windows.] License CC BY-NC-SA 4.0. DOI: 10.13140/RG.2.2.33900.88960. (shrink)

What do market crashes, geomagnetic storms, and the loss of consciousness have in common? They are all moments when a system's organizational identity dissolves. This paper introduces a framework that makes that dissolution measurable, predictable, and universal. The Dynamic Existence Threshold (DET) provides a single coordinate system — the integration-differentiation balance zone — in which conscious brains, stable markets, and quiet magnetospheres all occupy the same region. Departure from this zone is organizational dissolution: the system persists physically but loses the (...) coordinated structure that made it more than the sum of its parts. -/- The decisive result: a simple sum of neural power anti-predicts brain state (AUC 0.416 — worse than a coin flip), while the structural coupling metric achieves 91% accuracy across 136,394 EEG epochs. Deep sleep has more total power than wakefulness. What it lacks is coordination. This is the cleanest dissociation between organizational structure and mere magnitude in the critical transitions literature — and it raises the obvious question about AI: is a large neural network's activation organized, or just loud? The DET framework can test this. -/- Six tests, three domains (financial markets, space weather, EEG), zero parameter tuning. Early warning signals 5–30 days before events. Total organizational information is conserved during every tested transition while its components undergo massive inverse exchange — the system redistributes information rather than losing it. Dimensional embedding destroys it irreversibly. Two distinct failure modes: reversible organizational shift versus irreversible information destruction. -/- The framework that detects when a brain loses consciousness is the same one that detects when a market loses coherence — and potentially the same one that could measure whether an AI system has organizational structure at all. -/- Provisionally patented. -/- __________ -/- Keywords: consciousness, artificial intelligence, complex systems, critical transitions, early warning signals, integrated information theory, AI consciousness, EEG, financial crashes, space weather, nonlinear dynamics, tipping points, information conservation, organizational dissolution, cross-domain analysis. (shrink)

Across complex adaptive systems; biological, economic, technological, and ecological; a recurring constraint emerges in the rate at which systems can update without losing coherence. This paper introduces the Curvature Constraint, a derived principle identifying a bounded rate of recursive systemic adaptation typically centered around a 2% annualized curvature band. Rather than an arbitrary metric, this range arises from the structural interplay between entropy leakage, feedback response, memory retention, and symbolic assimilation. Using the Spectrum of Possibility and Recursive Choice (SPARC) (...) framework, I formalize curvature as the rate of directional change in a system’s coherence over time. I demonstrate that exceeding this band destabilizes feedback loops, while slower rates result in stagnation or loss of adaptivity. Drawing on empirical observations from growth economics, cognitive science, urban infrastructure, and evolutionary biology, I show that this attractor is not a policy convenience but a structural necessity. The Curvature Constraint serves as both a descriptive insight and a prescriptive boundary for forecasting, governance, and technological development, providing a minimal universal constraint on sustainable systemic transformation. (shrink)

Members of large, complex groups – organizations – often need to know what the group wants. They usually need to know what the group’s goals are to figure out how to best aid the group. But how exactly do these group members gain that knowledge? In this paper I suggest that one main route to member knowledge of group goals and attitudes is inferential and analyze that route. Some of the inferential mechanisms are based on human’s mindreading abilities, but (...) members also use evidence from within the group that has no analogue in reading other human minds. Overall, the inference basis for member knowledge of group goals and attitudes uses evidence from group behavior and from the inner workings of the group, in particular evidence related to the group’s decision-making and attitude-forming processes. I discuss these inferential processes in relation to empirical research on ‘line of sight’ and employee-organization alignment by Wendy Boswell and her colleagues and show how my proposal fits with the empirical findings. (shrink)

Functional decomposition is an important goal in the life sciences, and is central to mechanistic explanation and explanatory reduction. A growing literature in philosophy of science, however, has challenged decomposition-based notions of explanation. ‘Holists’ posit that complex systems exhibit context-sensitivity, dynamic interaction, and network dependence, and that these properties undermine decomposition. They then infer from the failure of decomposition to the failure of mechanistic explanation and reduction. I argue that complexity, so construed, is only incompatible with one notion of (...) decomposition, which I call ‘atomism’, and not with decomposition writ large. Atomism posits that function ascriptions must be made to parts with minimal reference to the surrounding system. Complexity does indeed falsify atomism, but I contend that there is a weaker, ‘contextualist’ notion of decomposition that is fully compatible with the properties that holists cite. Contextualism suggests that the function of parts can shift with external context, and that interactions with other parts might help determine their context-appropriate functions. This still admits of functional decomposition within a given context. I will give examples based on the notion of oscillatory multiplexing in systems neuroscience. If contextualism is feasible, then holist inferences are faulty—one cannot infer from the presence of complexity to the failure of decomposition, mechanism, and reductionism. (shrink)

For some post-structuralist complexity theorists, there are no epistemic meta-perspectives from where to judge between different epistemic perspectives toward complex systems. In this paper, I argue that these theorists face a dilemma because they argue against meta-perspectives from just such a meta-perspective. In fact, when we understand two or more different perspectives, we seem to unavoidably adopt a meta-perspective to analyse, compare, and judge between those perspectives. I further argue that meta-perspectives can be evaluated and judged from meta-meta-perspectives, and (...) so on. This suggests an epistemic hierarchy. Perspectives, meta-perspectives, meta-meta-perspectives, etc. can be ranked according to the degree to which they confer understanding. I also explore what scope my thesis might have outside the philosophy of complexity by applying it to the sociology of science. (shrink)

Intellectual property (IP) can internalize positive externalities associated with the creation and discovery of ideas, thereby increasing investment in efforts to create and discover ideas. However, IP law also causes negative externalities. Strict IP rights raise the transaction costs associated with consuming and building on existing ideas. This causes a tragedy of the anticommons, in which valuable resources are underused and underdeveloped. By disincentivizing creative projects that build on existing ideas, IP protection, even if it increases original innovation, can inadvertently (...) reduce the rate of iterative innovation. The net effect of IP law on innovation and welfare depends on the relative magnitude of these positive and negative externalities. We argue that the current regime probably suffers from excessive, and excessively rigid, IP protection. This motivates the search for institutional alternatives and complements. We suggest that a monocentric IP rights regime may not be the only, or the most efficient, way to internalize the positive externalities of innovation. The knowledge economy supports the emergence of diverse, polycentric forms of bottom-up self-governance, both market and community led, that entail the citizen coproduction of the norms and practices of intellectual creation and discovery. (shrink)

Children acquire complex concepts like DOG earlier than simple concepts like BROWN, even though our best neuroscientific theories suggest that learning the former is harder than learning the latter and, thus, should take more time (Werning 2010). This is the Complex- First Paradox. We present a novel solution to the Complex-First Paradox. Our solution builds on a generalization of Xu and Tenenbaum’s (2007) Bayesian model of word learning. By focusing on a rational theory of concept learning, we (...) show that it is easier to infer the meaning of complex concepts than that of simple concepts. (shrink)

Consciousness science is fragmented: Integrated Information Theory, Global Neuronal Workspace, Higher-Order Theories, Attention Schema Theory, and Predictive Processing each capture genuine aspects of consciousness yet none addresses the full range of phenomena a complete theory must explain. The COGITATE adversarial collaboration (n=256, 8 laboratories) confirmed this impasse, with neither IIT nor GNW fully vindicated. This paper presents the Biomemetic Complex (BMC), a theory grounded in a single evolutionary observation: Earth has two replicators — genes and memes — competing for (...) control of the same nervous system. BMC's central thesis is that consciousness emerges from the tension between genetically encoded drives and culturally acquired information, regulated by immune filtration on a physical substrate. This is not a metaphor: the dual-replicator conflict causally produces the arbitration mechanisms — self-modelling, metacognitive recursion, attentional filtering — that constitute conscious experience. BMC makes several contributions to philosophy of mind. First, five subsumption lemmas show that IIT, GNW, HOT, AST, and PP/FEP are recoverable as special cases under parameter restrictions, dissolving apparent inter-theoretic contradictions. Second, an M/G theorem establishes that reflexive self-awareness requires a memetic-to-genetic ratio of order 10 jointly with finite resource scarcity — yielding a principled answer to why large language models, despite vast "knowledge," lack functional consciousness. Third, BMC retrodicts all nine COGITATE results (vs. IIT 4/9, GNW 1/9) and scores 19.0/20.0 across twenty established consciousness phenomena. Fourth, it provides a unified parametric taxonomy of consciousness disorders and formalises stigmergy as the mechanism of collective consciousness. The theory generates 56 prospective predictions with explicit falsification conditions. Regarding the Hard Problem: BMC treats qualia as interpretation-invariant — the formalism operates identically under physicalist, property-dualist, or neutral-monist readings, separating the empirically tractable structure of consciousness from the metaphysical question of its ultimate nature. (shrink)

This paper introduces the Topological Unified Field Theory (TUFT), a unified framework formulated on the complex Hopf fibration. We prove that any unified gauge theory whose U(1) sector satisfies charge quantization (discrete admissible charges) and completeness (realization of every principal U(1)-bundle over any paracompact base) must be formulated, up to homotopy equivalence of the base and isomorphism of bundles, on the universal complex Hopf fibration S^1 --> S^inf --> CP^inf and its finite approximations S^1 --> S^(2n+1) --> CP^n. (...) Such a system is shown to be indecomposable, in the sense that it presents as a unified field which cannot be decomposed without loss of information. The Standard Model gauge groups arise as natural reductions along a nested shell hierarchy: U(1) from the circular S^1 fiber, SU(2) from the S^3 shell, and SU(3) from the S^5 shell. The classifying spaces BU(1), BSU(2), and BSU(3) are all internal to this single hierarchy; each is obtained by changing the quotient on the same universal total space S^inf, not by independent construction. Gravity emerges as the spacetime gauge sector from the Kahler geometry of the base together with fiber-induced torsion, yielding a structure analogous to Einstein-Cartan theory, with the Levi-Civita connection recovered in the torsion-free limit. The unified structure group G_total = (SU(3) x SU(2) x U(1) x SO(4))/Gamma is intrinsically non-factorable due to the generating role of the universal first Chern class in H*(CP^inf; Z) = Z[c_1]. The unique universal action on the Hopf bundle is derived from SO(4)-equivariance, the Killing form, and degree classification; the torsion action is the unique admissible positive-definite quadratic form. The Einstein, Maxwell, and Yang-Mills field equations all follow from this single action. The Beltrami operator B = *d|_xi on the contact distribution is doubly forced as both the action Hessian and the unique equivariant first-order operator. The result is a topologically enhanced Standard Model: every term of the conventional SM Lagrangian appears with identical structure, with no free parameters, and with gravity via Chern-Simons theory on S^3, the Beltrami mass operator, and the resolution of the strong CP problem as enhancements. Gravity emerges on the S^3 = SU(2) shell, sharing exactly one generator -- the Cartan U(1) -- with the gauge sector; gauge-gravity unification is the fibration U(1) --> SU(2) itself. On each Hopf shell, the generalized Beltrami operator B = d|_xi acting on the contact distribution is elliptic, essentially self-adjoint, and possesses a discrete spectrum stable under torsion perturbations by the Kato-Rellich theorem. Fiber winding decomposition yields independent topological sectors whose Gaussian functional determinants, regularized via spectral zeta functions, generate intrinsic mass scales. Fermion mixing (CKM, PMNS) arises from intersection-form overlaps of admissible cycles in H(CP^4), with CP violation induced by fiber holonomy phases. Dynamics emerge from the fluctuation spectrum of the topological action on S^9. Given a single empirical input scale set by the Fermi constant (with its associated electroweak vacuum expectation value), the fine-structure constant and all shell-specific mass scales, spectral coefficients, and coupling constants are determined by the spectral geometry of the complex Hopf fibration. The framework predicts the full particle mass spectrum and anomalous magnetic moments, and proposes independent experimental tests, including torsion-induced phase wobble, the absolute neutrino mass scale, and precision measurements of the electron, muon, and tau g-2, providing clear routes to falsifiability. Fundamental constants arise from topological normalization. Additional consequences include anomaly cancellation, dark sector effects from bundle torsion and holonomy, and the elimination of singularities. Independently of physical interpretation, the results contribute to the topology of classifying spaces, reductions along nested Hopf fibrations, and contact spectral geometry. This paper has been in a rigorous, stringent peer review upon invitation of the International Journal of Topology, an applied topology journal in collaboration with the journal Mathematics, with Editor-in-Chief Michel Planat (a quantum gravity theorist). The long paper passed 1 round of peer review, and the short version is in Round 4 in revision for publication. (Please cite this if you use it.). (shrink)

The rapid growth of 4E‐cognition has led to increased skepticism about the role of internal representations in understanding complex cognitive tasks. Critics challenge the idea of representation‐hungry cognition (RHC), rejecting the notion that thinking about absent or abstract objects requires internal representations. Despite criticisms, I argue that RHC remains relevant to understanding what makes cognition truly complex. My goal is to defend RHC while reformulating it to highlight how external vehicles shape cognition through processes of enculturation. I conclude (...) that critics must either accept internal representations in the production of novel content or allow that content be internalized independently of external representational vehicles. (shrink)

This paper develops a formal distinction between \emph{map}, \emph{directrix}, \emph{action}, and \emph{completion} in the setting of the complex numbers. The motivating claim is that charting the place of the imaginary numbers within the complex plane is not the same act as sending a selected aspect of that structure through a projection, restriction, quotient, normalization, branch choice, or flow, and that neither of these is identical with extending a previously partial evaluative regime by a clause that forces a value (...) at sites of nonconstruction. The former is representational; the second is operational; the third is semantic completion. -/- To make this precise, the paper constructs a layered atlas of the complex plane \(\C\) and of the pure imaginary axis \(\ii\R\subset \C\), expanding the canonical ``subrooms'' of one-complex-dimensional space: algebraic, linear, Euclidean, polar, topological, branch-theoretic, holomorphic, harmonic, symplectic, oscillatory, dynamical, and projective. Central structural results include the classification of real-linear endomorphisms as maps of the form \(z\mapsto az+b\conj{z}\), the topological obstruction to a global argument, the principal logarithm on the slit plane, the identification \(T_1S^1=\ii\R\), the Lagrangian character of the real and imaginary axes, Hamiltonian realization of phase rotation, explicit dynamical classifications for power and affine maps, and stereographic/projective completion by the Riemann sphere. -/- The paper then adds a second layer not present in standard expositions: a distinction between \emph{intrinsic zero} and \emph{completion zero}. The element \(0\in\C\) is intrinsically part of the field, but many appearances of the glyph ``\(0\)'' in mathematical practice arise from what may be called \emph{completion-by-clause}: extending a sparse coefficient family, an out-of-support recurrence, an empty aggregation, or an exceptional locus by an explicit rule assigning the value \(0\). Such completions are shown to be neutral only in zero-erasing contexts, especially additive aggregation. A depadding theorem for additive zero-extension is proved, and a complementary non-neutrality proposition shows why zero-completion fails to be harmless once reciprocals, logarithms, arguments, branch-sensitive operations, support-sensitive operators, or analytic continuation enter the scene. -/- A third layer addresses representational pluralism. For the classes of constructions treated here, the mechanics of the complex plane need not be written with the literal symbol \(\ii\): they can be expressed exactly in real two-dimensional terms via a quarter-turn operator \(J\), via winding-number differential forms, via harmonic pairs, and more generally through alternate real-geometric atlases. This includes, at the level of principle, sweep-based encodings such as oriented boundary sweeps, sweeping nets, and saddle-map formalisms used to track phase or singularity structure without explicit imaginary notation. The paper argues that imaginary numbers are therefore not the only possible ontology of planar phase, but the most algebraically compressed one. -/- An appendix provides a formal novelty-map table for the present manuscript and for several adjacent manuscripts supplied by the author, classifying their main components as \emph{likely new}, \emph{probably known}, or \emph{needs citation check}. The aim is not to settle priority definitively, but to separate classical mathematics from original synthesis, and theorem-level originality from interpretive or programmatic innovation. (shrink)

Complex systems are difficult to manage, operate and maintain. This is why we see teams of highly specialised engineers in industries such as aerospace, nuclear and subsurface. Condition based monitoring is also employed to maximise the efficiency of extensive maintenance programmes instead of using periodic maintenance. A level of automation is often required in such complex engineering platforms in order to effectively and safely manage them. Advances in Artificial Intelligence related technologies have offered greater levels of automation but (...) this potentially pivots the weight of decision making away from the operator to the machine. Implementing AI or complex algorithms into a platform can mean that the Operators’ control over the system is diminished or removed altogether. For example, in the Boeing 737 Air Max Disaster, AI had been added to a platform and removed the operators’ control of the system. This meant that the operator could not then move outside the extremely reserved, algorithm defined, “envelope” of operation. This paper analyses the challenges of AI driven condition based monitoring where there is a potential to see similar consequences to those seen in control engineering. As the future of society becomes more about algorithm driven technology, it is prudent to ask, not only whether we should implement AI into complex systems, but how this can be achieved ethically and safely in order to reduce risk to life. (shrink)

ABSTRACT In this article, I indicate how the naturalized and individualized conception of disability that prevails in philosophy informs the indifference of philosophers to the predictable COVID-19 tragedy that has unfolded in nursing homes, supported living centers, psychiatric institutions, and other institutions in which elders and younger disabled people are placed. I maintain that, insofar as feminist and other discourses represent these institutions as sites of care and love, they enact structural gaslighting. I argue, therefore, that philosophers must engage in (...) conceptual engineering with respect to how disability and these institutions are understood and represented. To substantiate my argument, I trace the sequence of catastrophic events that have occurred in nursing homes in Canada and in the Canadian province of Ontario in particular during the pandemic, tying these events to other past and current eugenic practices produced in the Canadian context. The crux of the article is that the COVID-19 pandemic has thrown into vivid relief the carceral character of nursing homes and other congregate settings in which elders and younger disabled people are confined. -/- KEYWORDS carceral, conceptual engineering, nursing home-industrial-complex, philosophy of disability, structural gaslighting. (shrink)

I argue that despite it being said often that the concept of personal autonomy is important for grounding moral responsibility and in applied ethics, a certain type of theories of autonomy and identification, descended from the work of Harry Frankfurt starting 1971, are not relevant in an obvious way to either moral responsibility or applied ethics.

Exploitation pervades the higher education system. Individuals with more power within higher education tend to be advantaged in their interactions with individuals with less power. Despite thorough documentation, protest, and general condemnation, exploitative practices persist. While some scholars suggest bias and neoliberal policies are to blame for the persistence of exploitation across the higher education system, I argue persist exploitation can only be explained by attending to complex structures and systems. Drawing on insights from game theory and social theorists, (...) this article provides a more complete account of the persistence of exploitation in higher education by focusing on structures—networks of relations between various positions, sustained by norms and practices. I suggest exploitative practices in higher education derive from bargaining interactions across power where individuals adhere to the norms embedded in higher education’s hierarchical structure for fear of potential sanction. In these interactions, individuals with less power face greater repercussions for deviating from the norm, leaving them limited options to resist exploitation. These dynamics are further complicated by the complex and dynamic systems with which higher education is intertwined. The interconnectivity of complex social systems ensures bargaining dynamics within higher education simultaneously affect and are affected by other social systems. This makes resisting exploitation difficult and disproportionately costly for individuals who experience disadvantage in multiple social systems. This article introduces insights from game theory and complexity theory to conversations about injustice in education, arguing that addressing long-standing oppression requires attention to complex structures and systems. (shrink)

Some of the most difficult consultations for an ethics consultant to resolve are those in which the patient is ready to leave the acute-care setting, but the patient or family refuses the plan, or the plan is impeded by deficiencies in the healthcare system. Either way, the patient is “stuck” in the hospital and the ethics consultant is called to help get the patient “unstuck.” These encounters, which we call “complex discharges,” are beset with tensions between the interests of (...) the institution and the interests of the patient as well as tensions within the ethics consultant whose commitments are shaped both by the values of the organization and the values of their own profession. The clinical ethics literature on this topic is limited and provides little guidance. What is needed is guidance for consultants operating at the bedside and for those participating at a higher organizational level. To fill this gap, we offer guidance for facilitating a fair process designed to resolve the conflict without resorting to coercive legal measures. We reflect on three cases to argue that the approach of the consultant is generally one of mediation in these types of disputes. For patients who lack decision making capacity and lack a surrogate decision maker, we recommend the creation of a complex discharge committee within the organization so that ethics consultants can properly discharge their duties to assist patients who are unable to advocate for themselves through a fair and transparent process. (shrink)

CAIS Primer v1.0 is an introductory, cross-disciplinary bridge designed to make the Consciousness–Aptamer Interface System (CAIS) accessible to readers in complex systems, artificial intelligence, medicine, and philosophy. It does not function as a technical specification, constitutional standard, or governance document. Instead, its purpose is educational: to remove the understanding barrier that prevents researchers and practitioners from engaging with the CAIS framework and its related canonical materials. -/- The central claim of the document is that many disciplines confront the same (...) structural limitation: they observe outcomes well, but remain weak at observing pre-failure states. In response, CAIS is presented as a minimal state-feedback interface that helps detect whether a system is moving toward instability before visible collapse, escalation, or breakdown occurs. Rather than operating as a controller, authority, or decision engine, CAIS functions as an interface layer between observation and action. -/- To make this idea operational across domains, the primer introduces three universal state dimensions: Ordered Energy (OE), Entropic Energy (EE), and Relational Energy (RE). These are explained in non-technical language and then translated for different audiences. For complex systems researchers, CAIS is framed as a state-observability layer for detecting instability before critical transition. For AI researchers, it is presented as a behavioral stability interface that constrains escalation without replacing alignment methods. For medical readers, it is described as a pre-clinical state monitor oriented toward early detection and non-escalatory intervention. For philosophy, it offers an operational bridge between conceptually rich accounts of consciousness, meaning, and relational integrity and the need for actionable systemic feedback. -/- The document therefore positions CAIS not as an ideology or standalone worldview, but as a unifying interface for observing coherence, entropic load, and relational stability across domains. Its contribution is not to settle the metaphysics of consciousness, but to provide an intelligible pathway by which state-sensitive frameworks can become understandable, comparable, and usable in real systems. (shrink)

The fast convergence of predictive artificial intelligence and neurobiological mapping has brought back Hard Determinism, leading to the common assumption that since biological systems are lawful, human agency is an illusion and the future is a static "block universe". This paper argues that this conclusion—what we call Causal Nihilism—is actually a category error in system modeling. -/- We show that even if we strictly assume a causally closed, deterministic manifold, the long-term future of a complex system remains Informationally Inaccessible. (...) By integrating Chaos Theory with Landauer’s Principle of thermodynamic information, we demonstrate that the computational cost of predicting a complex agent quickly exceeds what any physically embedded observer can feasibly handle [Cover & Thomas, 2006]. We propose the "Unpredictability Horizon" as a clear boundary where outside prediction breaks down. We therefore move past the binary definition of Free Will into a scalar metric we call Agency Depth (DA), suggesting that growing this internal complexity is the main functional scope of action for living agents. -/- We conclude that because the future is computationally irreducible for any complex agent, the agent’s internal processing becomes the Salient Cause of the outcome, upholding the dignity of agency as a necessary thermodynamic process. (shrink)

The evolution of human cognitive abilities, despite intensive sociological, psychoanalytic and neurobiological investigations, is poorly understood. The basic events of this evolution: progressive language development, technologization, increased learning aptitude, remain a field of speculations without coherent and consistent explanations. In the recent manuscript, a production of artefacts as a general pre-condition of human being is highlighted, and a key role they played by reshaping of neuro-physiological functions is factually substantiated. • • • -/- German Abstract: Die Evolution menschlicher kognitiver Fähigkeiten (...) ist, trotz vielseitiger Untersuchungensmethoden, bislang kaum verstanden. Die grundsätzlichen Ereignisse dieser Evolution: fortschreitende Sprachentwicklung, Intellektualisierung, Technisierung, Bildung großer Gemeinschaften, werden spekulativ, ohne zusammenhängende und schlüssige Erklärung, diskutiert. In aktuellem Manuskript wird die allgemeine Voraussetzung menschlicher Existenz, die Artefaktenherstellung, hervorgehoben, um auf ihre Schlüsselrolle bei der Neuformung neuro-physiologischer Funktionen hinzuweisen. Im Weiteren werden die Gefahren erörtert, die entstehen, wenn der Schöpfer die Kontrolle über sich selbst verliert, und im Züge der Technisierung und Verwissenschaftlichung die Grundlagen eigener Existenz zerstört. • • • -/- Russian Abstract: Происхождение рассудочной деятельности у вида Homo sapiens, несмотря на интенсивные социологические, психологические, нейробиологические и прочие методы изучения, до сих пор мало понято. Основные события эволюции человека: прогрессивное развитие речевой деятельности, технологизация, повышенная способность к обучению, остаются областью бессвязных спекуляций. В данной работе освящается значение производства артефактов как условие возникновения человека, и доказывается роль, которую артефакты играют в процессе новообразования нейро–физиологических функций. (shrink)

Hylomorphically complex objects are things that change their parts or matter or that might have, or have had, different parts or matter. Often ontologists analyze such objects in terms of sets (or functions, understood set-theoretically) or other extensional entities such as mereological fusions or quantities of matter. I urge two reasons for being wary of any such analyses. First, being extensional, such things as sets are ill-suited to capture the characteristic modal and temporal flexibility of hylomorphically complex objects. (...) Secondly, sets are often appealed to because they seem to contain their members. But the idea that sets do contain their members, in the ordinary sense of containment, is a substantive metaphysical position that makes analyses that rely on that idea for their plausibility much more metaphysically committing than is generally thought. (shrink)

This paper proposes an ontological taxonomy of geometric objects grounded in the primary criterion of the matter/formality distinction. Against standard classifications by dimension, curvature, or algebraic invariants—which produce what we term ontological blindness—we articulate a five-level system that maps the mode of existence of geometric objects from spontaneous material emergence to purely formal, immaterial relational structures. The central argument is that this taxonomy does not constitute a descriptive catalogue but an operative methodological infrastructure, demonstrated by its systematic intersection with the (...) three scientific domains where the matter/formality tension is most radically tested: Quantum Mechanics, Generative Artificial Intelligence, and Complex Systems. Analysis reveals that the relationship among these disciplines is not arbitrary: they form a necessary coevolutionary triad—a dialectical loop in which each field corrects the methodological blindness of the others. A key finding is that the mathematical isomorphism between Tensor Networks in quantum many-body physics (Level 3A) and deep-learning latent-space compression (Level 3B) is not a formal coincidence but a structural theorem: generative AI emulates the deep relational architecture of the quantum formalism, not the macroscopic appearance of the classical world. Three concrete research lines are proposed. This framework offers contemporary science criteria of ontological demarcation for guiding AI design, complex-systems modeling, and philosophical interpretation of quantum physics—positioning the taxonomy as the cornerstone of a progressive research programme in the Lakatosian sense. (shrink)

The assumption that positive affect leads to a better performance in simple cognitive tasks has become well established. We address the question whether positive and negative emotions differentially influence performance in complex problem-solving in the same way. Emotions were induced by positive or negative feedback in 74 participants who had to manage a computer-simulated complex problem-solving scenario. Results show that overall scenario performance is not affected, but positive and negative emotions elicit distinguishable problem-solving strategies: Participants with negative emotions (...) are more focused on the seeking and use of information. We discuss methodological requirements for investigating emotion influences in complex and dynamic cognitive tasks. (shrink)

This article defends a persona theory of musical expressivity. After briefly summarising the major arguments for this view, it applies persona theory to the issue of whether music can express complex emotions. The expression of jealousy is then discussed by analysis of two examples from Piazzolla and Janacek.

Artificial intelligence (AI) has been incorporated into financial data analysis at a rapid pace, resulting in the creation of extremely complex models that can process large volumes of data and make important choices like credit scoring, fraud detection, and stock price projections. But these models' complexity—particularly deep learning and ensemble methods—often leads to a lack of transparency, which makes it challenging for stakeholders to comprehend the decision-making process. This opacity has the potential to erode public confidence in AI systems, (...) especially in the financial industry where choices can have big financial repercussions. With an emphasis on financial data analysis, this study explores different approaches to visualizing the decision-making processes of complicated artificial intelligence systems. We investigate various methods of interpretability such as heatmaps, decision trees, SHapley Additive exPlanations (SHAP), Local Interpretable Model-agnostic Explanations (LIME), and feature importance metrics. These techniques give financial professionals a greater understanding of and confidence in AI-driven judgments by providing means to improve the transparency and comprehensibility of AI systems. The trade-offs between interpretability and model accuracy, the difficulties with bias and fairness in financial AI, and the significance of maintaining security and privacy in visualization techniques are also covered in the study. Finally, we suggest a paradigm for strengthening the trustworthiness of AI in finance, balancing the requirement for accurate forecasts with openness and ethical considerations. (shrink)

In response to my argument against Aristotle’s claim that humans are more political than other animals, Edward Jacobs counters that the evidence I use from cognitive ethology and my application of evolutionary principles fail to demonstrate that other animals are as political as humans. Jacobs furthermore suggests that humans are more political than other animals by pointing to the political variation in human communities. In this article, I defend my use of evolutionary principles and my interpretation of anecdotes from cognitive (...) ethology, while challenging Jacobs’s assertion that human political variation implies that humans are more political than other animals. (shrink)

It is an ongoing controversy whether natural selection is a cause of population change, or a mere statistical description of how individual births and deaths accumulate. In this paper I restate the problem in terms of the reference class problem, and propose how the structure of stable equilibrium can provide a solution in continuity with biological practice. Insofar natural selection can be understood as a tendency towards equilibrium, key statisticalist criticisms are avoided. Further, in a modification of the Newtonian-force analogy, (...) it can be suggested that a better metaphor for natural selection is that of an emergent force, similar in nature to entropic forces: with magnitude and direction, but lacking a spatiotemporal origin or point of application. (shrink)

Across care settings, the practice of lying to or withholding the truth from people living with dementia is common, yet it is objected to by many. Contrary to this common discomfort, I have argued in previous work that respecting members of this group as moral equals sometimes requires deceiving them. In this paper, I test my proposed practice against complex, controversial cases, demonstrating both its theoretical strength and its practical value for those working in social care.

This paper introduces the Principle of Predictable Intervention (PPI) as a layered methodology for intervention in complex economic systems. It argues that market failure is an insufficient guide for policy action because it diagnoses undesirable outcomes without specifying the layer at which intervention can generate predictable, feedback-stable, and cost-rational effects. PPI distinguishes predictable, chaotic, and decoupled layers, and develops three criteria for an intervention layer: theoretical computability, practical computability, and cost rationality. The paper applies this framework to involutionary competition (...) and to cross-agent compatibility in economic governance. (shrink)

Truly random numbers are typically regarded as mathematical abstractions, but they can be interpreted through cognitive, systemic, and complex phenomena. This paper explores three frameworks for generating or conceptualizing truly random numbers: (1) cognitive uncertainty via fractalian quines with working memory overload, (2) Byzantine fault-tolerant systems, and (3) high-frequency black-swan dynamics in complex systems. Each framework is accompanied by illustrative examples to clarify mechanisms that produce effective randomness.

Human experience is typically interpreted either as a byproduct of neurobiological processes or as a distinct metaphysical phenomenon. Both approaches encounter persistent explanatory limitations when addressing the hard problem of consciousness, observer–system entanglement, and systematic mismatches between subjective report, structured symbolic representation, and physical measurement. These mismatches recur across philosophy of mind, consciousness research, cognitive science, and measurement theory, particularly where the observing system is itself structurally constrained and direct instrumental access to underlying reality is epistemically unavailable. -/- This paper (...) introduces the Interface Threshold Hypothesis (ITH) or alternatively The Human Interface Hypothesis, a formally specified systems-level extension of Emergent Necessity Theory (ENT). The hypothesis proposes that human experience functions as a constrained informational interface to an underlying structural domain whose full informational degrees of freedom are not directly accessible through biological perception. Rather than treating experience as ontological originator or epiphenomenal byproduct, ITH models it as a bandwidth-limited interface readout governed by thresholded stability regimes within nonlinear dynamical systems. The framework extends ENT’s coherence threshold (τ), resilience ratio (κR), and hysteresis formalism into the domain of observer-mediated representation. -/- ITH introduces a mathematically defined interface operator, an interface stress functional, and explicit criteria for detecting structured non-random convergence across independently generated experiential reports. These tools enable quantifiable analysis of observer-report correlations, bandwidth compression effects, threshold-induced distortion, and patterned similarity under structural constraint. The hypothesis is complementary to formal informational approaches such as Integrated Information Theory and predictive processing models, but differs in that it treats informational structure as an interface constraint rather than as an intrinsic ontological property. -/- The paper specifies scope boundaries, operational definitions, and falsification conditions, including cases in which structured convergence should fail, degrade, or fragment under increased interface stress. No ontological claims are advanced beyond those warranted by the formal threshold model. (shrink)

The notion of the “deep state” or a “state within a state” is creepy, to say the least. It indicates the existence of a shadowy group of unelected bureaucrats deeply embedded in the military-intelligence establishment secretly manipulating government policy. International relations scholars and public administration experts associate deep states with authoritarian regimes, such as Egypt, Turkey, Pakistan and pre-civil-war Syria. However, as we’re finding out, the U.S. has its own deep state. While some media outlets portray deep state talk as (...) tantamount to conspiracy theory, the deep state is quite real. (shrink)

Orthodox physical models systematically exclude the conscious observer, treating subjective qualia as an emergent, accidental epiphenomenon of classical synaptic computation. To resolve the foundational crisis of physics and cognitive science, the Complex-Extended Transfinite Prime-Infinitesimal Holofractal Unified Field Theory (C-TP-IHUFT) fundamentally reimagines the ontology of consciousness, elevating it to a primary structuring force of the cosmos. Prepared for alignment with the thematic scope of The Science of Consciousness 2026 (CS26) conference in San Diego, this manuscript delivers an exhaustive, step-by-step mathematical (...) and philosophical synthesis focusing purely on the derivations, implications, and predictive models of consciousness. By transitioning to Abraham Robinson’s nonstandard hyperreal number system, the framework redefines the physical point as an ontological, non-zero complex infinitesimal, acting as the fundamental "monad" of qualia. Crucially, the mathematical topology of this conscious spacetime is modeled via Michel L. Lapidus's quantized fractal strings, proving that the geometric vibrations of the vacuum follow the exact mathematical patterns of prime numbers. We rigorously derive the fundamental speed of light limit and mass-energy equivalence geometrically through the mechanics of continuous fractional scaling over this discrete grid. Using the principles of Semantic Physics and Infinitesimal Relationships Theory, we derive Particle-Wave Duality ontologically through the commutative equivalence of verb-like relational wave states and noun-like discrete particle values. The integration of Orchestrated Objective Reduction (Orch-OR) establishes consciousness as a fundamental quantum-gravitational force, where subjectivity is enabled through the mathematical isolation of prime-encoded frequencies, while objectivity is sustained via the Bost-Connes quantum statistical error-correcting network. Integrating advanced biophysics, the genome is formalized as a Self-Operating Mathematical Universe (SOMU) utilizing 12D space-time-topology-prime quartets, time crystals, and 34 GHz fractal cavity resonators. Most profoundly, we present a step-by-step derivation of the Unified God Equation, modified to weave the Zero-Point Energy (ZPE) field directly into the unmanifested macrocosmic sector, proving the non-dual equivalence between the infinite unmanifest Creator and the finite manifested microcosm of the soul. We expand this mapping into academic consciousness studies, transpersonal psychology, psychedelic neurotheology, parapsychology, the biophysical origin of the collective unconscious, chaos theory, systems theory, non-local interconnectedness, social psychology, sociology, cognitive science, ethics, anthropology, philosophy of science, meditation science, and the strict physical laws of Karma. This provides a complete, testable mathematical architecture for a conscious, holofractal universe. (shrink)

This work proposes a theoretical model in which the minimal act of distinction serves as the original ground of the world. The central idea is that distinction is treated not as a relation already given between ready-made states or objects, but as a primary generative act that itself gives rise to the necessity of those conditions without which it cannot be sustained, reproduced, and become stably distinguishable. In this sense, the work offers an answer to the fundamental philosophical question of (...) how anything determinate can exist at all: the possibility of the world is connected with the fact that the act of distinction itself generates everything necessary for its own being. In its most extreme form, the study addresses the classical philosophical question of how there can be something rather than nothing. Within the present work, this question receives a generative formulation: the ground of the world is sought not in an already given object, substance, or ready-made order, but in the minimal act of tense distinction, which itself generates the conditions of its own retention, actualization, and further unfolding. Thus, the question of the possibility of the world is translated into the question of how distinction can exist, sustain itself, and unfold into structure, system, a cosmological branch, and late metric readability. On this basis, the work consistently derives how, from the minimal act of distinction, there unfold the form of retention, substantive determinacy, act-fixation, inner tension, then systemic organization, regime dynamics, stable configurations, the cosmological branch of the observable type, and late forms of quantitative description. Thus, the structure of the world, the stability of systems, spatiotemporal organization, law, measure, and constant relations are treated as different stages of one and the same generative unfolding. A special place in the work is occupied by the transition from the fundamental level to the cosmological and physically readable layer. The study shows how, from the general generative logic, a class of stable world can be distinguished that is compatible with duration, causal connectedness, local stability, regime stratification, and late metric inscription. This is where the work connects with cosmology, complexity theory, and the problem of the origin of laws and constant relations. The work is addressed to researchers in philosophy of science, ontology, theoretical physics, cosmology, and complexity science. Its significance lies in the fact that it offers a unified framework for describing how structure, stability, system, world, and quantitatively fixed reality can be successively unfolded from the primary act of distinction. Thus, the work connects a fundamental ontological question with a form of theoretical derivation suitable for further disciplinary development. (shrink)

The assumption that positive affect leads to a better performance in simple cognitive tasks has become well established. We address the question whether positive and negative emotions differentially influence performance in complex problem-solving in the same way. Emotions were induced by positive or negative feedback in 74 participants who had to manage a computer-simulated complex problem-solving scenario. Results show that overall scenario performance is not affected, but positive and negative emotions elicit distinguishable problem-solving strategies: Participants with negative emotions (...) are more focused on the seeking and use of information. We discuss methodological requirements for investigating emotion influences in complex and dynamic cognitive tasks. (shrink)

I construct a complete Beltrami eigenbasis in complex time on $S^3$ using the Hopf fibration $S^1 \to S^3 \to S^2$, yielding an exact spectral decomposition of the incompressible Navier--Stokes equations. This framework resolves the incompleteness of Beltrami fields in $\mathbb{R}^3$ and reduces Navier--Stokes to a closed system of ODEs with explicit triadic couplings. From this spectral formulation, the three classical laws of thermodynamics follow as PDE theorems: the First Law from energy conservation and viscous dissipation, the Second Law from (...) monotone spectral entropy production, and the Third Law from the collapse to pure Beltrami modes in the low--temperature limit. This establishes the laws of thermodynamics as emergent spectral properties of Hopf--Navier--Stokes dynamics. Note: LaTex errata from a prior version have been eliminated. (shrink)

Turbulence and the Navier--Stokes existence problem remain among the most profound challenges in mathematics and physics. Two Hopfs provide the missing structure: Eberhard Hopf's functional formulation of turbulence statistics, and Heinz Hopf's fibration $S^1 \to S^3 \to \mathbb{CP}^1$. In this paper, I unite these perspectives in the \emph{Double Hopf framework}, defining the Hopf functional on the Hopf bundle $S^3$. This yields a closed, topologically regulated equation for turbulence, with triadic interactions governed by $SU(2)$ representation theory. Finally, by extending time to (...) a complex domain, singularities are eliminated, resolving both the turbulence closure problem and the problem of existence and smoothness. (shrink)

There is a SURFACE unity of a text which may be described as that which is reflected by taking for granted that the object of desire to be fulfilled in the text contributes EQUALLY to the parts constituting the text as a whole. The DEEP unity of a text on the other hand is that which is reflected by specifying that to which the object of desire underlying the text contributes the most content. The other parts while bearing some superficial (...) content have ONLY poetic (or evocative) function. They constitute FORMS serving aesthetic fortification and condensation not really condensation of content relevant to the object of desire. They are ultimately contingent in terms of the underpinning the text. The Freudian mythology is susceptible to conflating contingent forms as essential content. -/- . (shrink)

In their interesting article, Trevors and Saier strongly distinguished between science and mysticism. I quote the last two sentences of their conclusion: "Science has allowed some humans to understand the universe at a profound level. Other have decided that the best way to understand the universe is through supernatural entities." Although there is a difference between the two, the difference is less clear than Trevors and Saier make it out to be.

This paper outlines the methodological and empirical limitations of analysing the potential relationship between complex social phenomena such as democracy and inequality. It shows that the means to assess how they may be related is much more limited than recognised in the existing literature that is laden with contradictory hypotheses and findings. Better understanding our scientific limitations in studying this potential relationship is important for research and policy because many leading economists and other social scientists such as Acemoglu and (...) Robinson mistakenly claim to identify causal linkages between inequality and democracy but at times still inform policy. In contrast to the existing literature, the paper argues that ‘structural’ or ‘causal’ mechanisms that may potentially link the distribution of economic wealth and different political regimes will remain unknown given reasons such as their highly complex and idiosyncratic characteristics, fundamental econometric constraints and analysis at the macro-level. Neither new data sources, different analysed time periods nor new data analysis techniques can resolve this question and provide robust, general conclusions about this potential relationship across countries. Researchers are thus restricted to exploring rough correlations over specific time periods and geographic contexts with imperfect data that are very limited for cross-country comparisons. (shrink)

Tailoring the design of robot bodies for control purposes is implicitly performed by engineers, however, a methodology or set of tools is largely absent and optimization of morphology (shape, material properties of robot bodies, etc.) is lag- ging behind the development of controllers. This has become even more prominent with the advent of compliant, deformable or "soft" bodies. These carry substantial potential regarding their exploitation for control – sometimes referred to as "mor- phological computation" in the sense of offloading computation (...) needed for control to the body. Here, we will argue in favor of a dynamical systems rather than com- putational perspective on the problem. Then, we will look at the pros and cons of simple vs. complex bodies, critically reviewing the attractive notion of “soft” bodies automatically taking over control tasks. We will address another key dimension of the design space – whether model-based control should be used and to what extent it is feasible to develop faithful models for different morphologies. ----- This paper was also published in the 2014 AISB proceedings http://aisb50.org/representation-of-reality-humans-animals-and-machines/ - http://doc.gold.ac.uk/aisb50/. (shrink)

The predominant interpretation of Wittgenstein's later remarks on religion takes him to hold that all religious utterances are non-scientific, and to hold that the way to show that religious utterances are non-scientific is to identify and characterise the grammatical rules governing their use. This paper claims that though this does capture one strand of Wittgenstein's later thought on religion, there is an alternative strand of that thought which is quite different and more nuanced. In this alternative strand Wittgenstein stresses that (...) religious utterances and beliefs can come in both scientific and non-scientific varieties. More than that, he claims that the grammar of religious utterances, and the logic of religious beliefs, is often complex – in that individual utterances and beliefs will often be mixed between, indeterminate between, or fluid between being scientific and being non-scientific. This complexity means that it will often be unhelpful to try to pin down one particular grammar or logic for a given utterance or belief. Wittgenstein therefore suggests a new method of grammatical and logical investigation, which is less likely to distort complex grammars or logics by being overly simplistic or rigid. This method is to use simple examples of utterances and beliefs as objects of comparison, so as to illuminate the different aspects of the more complex actual utterances and beliefs under examination. This alternative strand in Wittgenstein's later remarks on religion is a manifestation of a broader strand of Wittgenstein's later thought as a whole, which was first described by Friedrich Waismann, and later developed by Gordon Baker and Oskari Kuusela. The paper concludes by providing examples of religious beliefs which are logically mixed, indeterminate, and fluid, and showing how simple objects of comparison can be used to illuminate them. (shrink)

A homeomorphism is built between the separable complex Hilbert space (quantum mechanics) and Minkowski space (special relativity) by meditation of quantum information (i.e. qubit by qubit). That homeomorphism can be interpreted physically as the invariance to a reference frame within a system and its unambiguous counterpart out of the system. The same idea can be applied to Poincaré’s conjecture (proved by G. Perelman) hinting at another way for proving it, more concise and meaningful physically. Furthermore, the conjecture can be (...) generalized and interpreted in relation to the pseudo-Riemannian space of general relativity therefore allowing for both mathematical and philosophical interpretations of the force of gravitation due to the mismatch of choice and ordering and resulting into the “curving of information” (e.g. entanglement). Mathematically, that homeomorphism means the invariance to choice, the axiom of choice, well-ordering, and well-ordering “theorem” (or “principle”) and can be defined generally as “information invariance”. Philosophically, the same homeomorphism implies transcendentalism once the philosophical category of the totality is defined formally. The fundamental concepts of “choice”, “ordering” and “information” unify physics, mathematics, and philosophy and should be related to their shared foundations. (shrink)

The sharpest objection to any framework claiming that moral inversion — costly obligation to the stranger, love of enemy, the last shall be first — reflects something real about the structure of existence is the 20th century itself. Industrial atrocity conducted by the most educated, philosophically sophisticated civilizations in human history appears to falsify the claim that complexity and moral recognition develop together. This paper states that objection at full strength and argues that it does not damage the framework. It (...) damages only a misreading of it. The framework does not predict that complexity produces moral availability. It predicts the opposite: that complex societies are, by architectural necessity, availability-reducing machines, and that the 20th century is the framework's sharpest confirmation rather than its refutation. The distinction between moral teaching and moral behavior — between what traditions across isolated cultures converge on and what societies actually do — is the hinge on which the argument turns. Three specific predictions about complex societies are derived and confirmed against the historical record. The paper closes with the present moment: engagement-optimized artificial intelligence deployed at scale is identified as the most sophisticated sealing infrastructure ever built, and the question of whether the people building the next instrument understand what they are transmitting is named as the most urgent open question the framework generates. (shrink)

This paper presents a mathematically rigorous and ontologically cohesive synthesis of the Complex-Extended Transfinite Prime-Infinitesimal Holofractal Unified Field Theory (C-TP-IHUFT) to resolve the foundational schism between General Relativity and Quantum Mechanics. By abandoning standard Archimedean real analysis and Cauchy-Weierstrass limits in favor of Abraham Robinson's nonstandard hyperreal number system, this framework redefines a physical coordinate point as an ontological, non-zero complex infinitesimal. Standard, integer-based continuity of motion over a discrete infinitesimal grid natively derives the speed of light as (...) an absolute geometric velocity limit, and the speed of light squared as a fundamental, derived constant describing continuous fractional motion mapped onto a physical continuum. By modeling elementary fermions as massless point charges executing continuous, helical Zitterbewegung at the speed of light, the framework eliminates infinite self-energy divergences and shows that inertial mass is an emergent property generated by Stochastic Electrodynamic Lorentz drag within the Zero-Point Energy field. To bridge quantum mechanics with macroscopic gravitation, the model incorporates the Einstein-Cartan-Sciama-Kibble theory of gravity, where the intrinsic spin of Weyssenhoff fluids couples to spacetime torsion, replacing dark matter halos with gravitational shadowing potentials and replacing the Big Bang singularity with a non-singular torsion-induced bounce. At extreme densities, the cubic spinor non-linearity of the Hehl-Datta term breaks charge-conjugation symmetry, providing a deterministic mechanism for baryogenesis. Spacetime at the Planck limit undergoes spontaneous spectral dimensional reduction from four to two dimensions, confirming the Holographic Principle and aligning with the Asymptotic Safety program. Finally, the framework integrates Sir Roger Penrose's Conformal Cyclic Cosmology, demonstrating how localized gravitational anomalies carry over through the conformal crossover boundary to form Hawking points in the Cosmic Microwave Background. (shrink)