Abstract

This paper is the thirty-first in a sequence developing an interpretive framework that redescribes physical reality as a causally consistent history of information updates. It is the capstone of the eighth grouping, a foundational-physics trilogy. Its subject is spacetime localization: where and when a record or system is — its position, orientation, relative phase, and time. The claim is that localization is real but not authoritatively global. There is no Global Frame: no physically privileged reference system that fixes absolute location and orientation, a privileged global simultaneity, a classical frame standing outside quantum theory, and one physically privileged, globally valid perspectival gauge-fixing. Localization is relational: positions and times are defined relative to a declared quantum reference frame (QRF), itself a quantum system that may be superposed and entangled with what it localizes (Giacomini, Castro-Ruiz, & Brukner, 2019; Loveridge, Miyadera, & Busch, 2018). Objectivity is kept by a strict typing of cross-frame comparison: a single gauge-invariant relational (Dirac) observable has one invariant prediction, its perspectival representations intertwined by a frame-change map (case A); distinct relational observables form a relationally consistent web (case B); and where two frames share no common refinement their claims are declared incomparable (case C). The flagship R-A is a dynamics-independent kinematic existence witness: a finite Z_N three-particle model exhibits one physical state and two admissible ideal QRFs under which localization and entanglement differ — a sharp product relative to one particle; an entangled state with a delocalized, mixed marginal relative to another — while the same relational observable's distribution is preserved. R-B splits into a domain covariance on shared refinements and a model-dependent global-perspective obstruction (Gribov-type; Vanrietvelde, Höhn, & Giacomini, 2023), the latter distinct from the absence of a privileged frame and not precluding a perspective-neutral description. R-C places Paper 8's relational time as the time-translation special case, requiring an instantiated record–clock relation rather than mere Page–Wootters conditioning, and separating the retired no-global-clock claim from the deferred relativistic-foliation one. R-D partially discharges Paper 30's grain-coherence gluing — the frame-representable localization sector only — leaving interaction, fragmentation, redundancy, and history-family structure grain-relative. This completes the trilogy's dismantling of the Global Bookkeeper while keeping geometry fixed; the quantum-mechanics–gravity interface is prepared, not entered. Localization is frame-relative but objective: no absolute frame, no globally gauge-fixed perspective claimed beyond what models establish, and no anarchy.