Configuration Space Temporality: A Reformulation of Time as State Identity in Configuration Space

Voici la description mise à jour pour Zenodo : Title: Configuration Space Temporality: A Reformulation of Time as State Identity in Configuration Space — with Experimental Predictions Authors: Blum, Frederic David (Independent Researcher, Catalyst AI, Tel Aviv, Israel) We propose Configuration Space Temporality (CST), a fundamental reformulation of temporal ontology in which time is not a geometric coordinate along which physical systems evolve, but an emergent property arising from the uniqueness of physical configurations in state space. We define a temporal configuration as the complete specification of all physical degrees of freedom within a bounded spacetime region and demonstrate — via both classical combinatorial and quantum von Neumann entropy arguments — that the combinatorial vastness of configuration space renders every such specification a unique identifier — an unicum. Within this framework, we reformulate the problem of time travel from one of geometric transport along closed timelike curves to one of distance minimization in configuration space. We introduce a configuration metric weighted by inverse thermal fluctuations, define partial temporal displacement as achievable modification of state parameters, and establish a hierarchy of accessibility across macroscopic, microscopic, and quantum parameter classes. Crucially, while exact reproduction of a past configuration is combinatorially impossible, partial reproduction is experimentally achievable — transforming time travel from an all-or-nothing proposition into a continuous, measurable quantity. We present three falsifiable experimental predictions testable with current quantum hardware: (1) non-linear displacement response — the temporal displacement coefficient τ(k) follows a sigmoidal curve rather than linear k/N, with critical parameters producing disproportionate effects; (2) configurational hysteresis — the order in which parameters are restored affects intermediate displacement, with variance scaling as the entanglement entropy of the un-restored subsystem; (3) coherence phase transition — a sharp threshold k* exists below which no measurable resemblance to the target configuration emerges, corresponding to a percolation threshold in configuration-space topology. Concrete protocols are described for trapped ions, superconducting qubits, NMR systems, cold atoms, and time crystals. We identify existing experimental results that provide retrospective support: spin echo spectroscopy (Hahn, 1950) as partial backward temporal displacement; quantum error correction thresholds as instances of the coherence phase transition; discrete time crystals (Zhang et al., 2017; Choi et al., 2017) as spontaneous periodic temporal displacement; and Loschmidt echo decay regimes as empirical measurements of the configuration metric structure. The framework naturally dissolves classical temporal paradoxes (grandfather, bootstrap), provides a novel perspective on the arrow of time through Boltzmann's entropy landscape, and connects to the Wheeler-DeWitt equation's timeless formulation of quantum gravity and the Page-Wootters mechanism. We further explore the spectral properties of propagation operators on configuration manifolds with cyclic boundary conditions, identify three spectral regimes corresponding to the Novikov, Hawking, and Everett interpretations, and propose a threshold conjecture for experiential temporal displacement. This work was developed with AI assistance from Claude Opus 4.6 (Thinking) by Anthropic. Keywords: temporal ontology, configuration space, state-based time, partial temporal displacement, configuration metric, spin echo, time crystals, quantum error correction, Loschmidt echo, spectral operators, chronology protection, Wheeler-DeWitt equation, Page-Wootters mechanism, Boltzmann entropy, emergent time, falsifiable predictions, coherence phase transition License: Creative Commons Attribution 4.0 International Copyright: © 2026 Frederic David Blum Resource type: Preprint Language: English Related identifiers / References: Gödel (1949), Hawking (1992), Page & Wootters (1983), DeWitt (1967), Novikov (1989), Hahn (1950), Zhang et al. (2017), Choi et al. (2017), Peres (1984), Shor (1995), Lloyd et al. (2011), Barbour (1999), Rovelli (2004), Hebb (1949) Prêt à copier-coller dans Zenodo. Les ajouts clés par rapport à la v1 : les trois prédictions falsifiables, les preuves rétrospectives (spin echo, QEC, time crystals, Loschmidt), et les mots-clés élargis.