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A Temporal-Orientation Framework for Wavefunction Collapse

Pablo Domínguez Delmás

Published May 28, 2026• 0 citations
Publisher

Abstract

This work proposes a framework for wavefunction collapse based on temporal-orientation dynamics in an extended Hilbert-space structure. The model introduces asymmetric temporal sectors associated with observer-system interaction and derives irreversible collapse behavior through GKSL-consistent dynamics, stochastic unraveling, and observer-alignment mechanisms. The framework recovers Born-rule statistics while remaining operationally compatible with standard quantum mechanics in the appropriate limits. The paper distinguishes explicitly between formal theorems, operational propositions, and heuristic interpretations, and proposes numerical simulation protocols intended to assess empirical distinguishability relative to standard quantum theory. This preprint represents Phase II of a broader research program concerning temporal structure, quantum measurement, and relativistic extensions of collapse dynamics.

DOI
10.5281/zenodo.20432892

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A relativistic framework in which the measurement event is modelled as a geometric incidence between a null quantum system (a photon, represented over projective null twistor space ℙN) and a timelike observer worldline in Minkowski space. The observer's forward temporal orientation is supplied not thermodynamically but as a discrete geometric datum fixed by the temporal orientability of Minkowski space. Global evolution remains unitary; the only irreversibility is a causal monotone of second-law type with no finite non-relativistic limit. The central claim — that the temporal arrow of collapse can be supplied purely geometrically while preserving unitarity — is stated as a falsifiable question with two valid answers, and the deciding experimentum crucis is specified but not yet executed. The claim is therefore left explicitly open.
We present a reconstruction of quantum collapse within the FCF framework, where geometry and temporality are secondary expressions of a substrate of correlations, and where two magnitudes are conserved independently: c(structural-relativistic) and the quantum change q, bound together by τ = c+ q. We hold that collapse is neither an additional postulate nor a fundamental physical process, but rather the geometric re-expression of a correlation, constituted in the receiver frame. The expression / non-expression cycle T₁ → T₂ → T₃ reconstructs, without merely juxtaposing them, the two dynamics that standard quantum mechanics postulates separately —unitary evolution and projection. We show that the Born rule is derived, not postulated, as the only measure compatible with the restriction structure of the receiving Hilbert space (Gleason’s theorem), anchoring the orthomodular lattice in the program’s co-genesis theorem (Document 7); and that the impossibility of non-contextual hidden variables (Kochen–Specker theorem) falls out of that same structure. Probability is ontologically localized in the temporal domain T₂–T₃; the photon (τ = 0, level T₁) appears as the revealing limit that proves the seat of Born is always the receiving Hilbert space. We offer a dual reading —consistent with itself and with observation—between the language of quantum fields and their fluctuations and the language of type-1/2/3 correlations. We then develop the gravitational sector, where asingle commitment—gravity couples to the mean correlational structure (the c-side), not to the quantum branches—performs a fourfold function: it dissolves the conflict between collapse and covariant conservation of energy-momentum (Page–Geilker / DeWitt), predicts the absence of gravity-induced entanglement(falsifiable by Bose–Marletto–Vedral-type experiments), and blocks the superluminal signaling of nonlinear semiclassical theories (Gisin’s no-signaling condition, a ρ̂-fed prescription). The article closes with a register of critical dependencies —DERIVED / MOTIVATED PROPOSAL / OPEN PROBLEM—and with the registered falsifiers, locating the falsifiability of the FCF in its differentiating predictions, not in its internal coherence.
This work introduces a foundational interpretive framework for quantum mechanics based on a single organizing principle: the temporal mismatch between observer and system. The framework proposes three fundamental laws of quantum time, explaining quantum indeterminacy, wavefunction collapse, entanglement, and the quantum–classical transition without modifying the mathematical formalism of quantum mechanics. Quantum behavior is interpreted not as intrinsic disorder, but as a consequence of observing systems whose intrinsic dynamical time scales differ radically from the temporal resolution of measurement. This work is intended as a conceptual and foundational contribution, offering a unified interpretive structure for ongoing discussions in the foundations of quantum mechanics. The framework is operationally defined and falsifiable in principle, though not directly testable with current experimental capabilities.