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

Title: Configuration Space Temporality: A Reformulation of Time as State Identity in Configuration Space — with Experimental Predictions and Relativistic Subsumption 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. This version introduces three central contributions. First, we demonstrate that Einstein's special and general relativity are special cases of CST: special-relativistic time dilation corresponds to modifying a single configuration parameter (velocity), yielding a displacement coefficient τ = 1 - 1/γ, while general-relativistic gravitational dilation corresponds to modifying the metric tensor components, yielding τ = 1 - √(g₀₀). We prove a formal Subsumption Theorem establishing that CST reproduces all known relativistic time dilation effects exactly, and predict novel relativistic-quantum cross-terms testable with satellite atomic clocks. The GPS system — correcting 38.7 μs/day across ~4 billion devices — provides continuous verification of CST's single-parameter predictions at a rate of approximately 10⁹ confirmations per second globally. Second, 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, time crystals, and satellite atomic clocks. Third, 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; Loschmidt echo decay regimes as empirical measurements of the configuration metric structure; and GPS relativistic corrections as continuous verification of single-parameter temporal displacement. 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 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. We establish CST as a candidate unifying framework that subsumes relativistic time dilation, quantum temporal phenomena, and thermodynamic irreversibility within a single configuration-space formalism. 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, special relativity, general relativity, Lorentz factor, Schwarzschild metric, GPS verification, relativistic subsumption, 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 Version: 3.0 Publication date: 2026-02-22 Related identifiers / References: Einstein (1905, 1915), Minkowski (1908), Schwarzschild (1916), 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), Ashby (2003), Hafele & Keating (1972), Chou et al. (2010), Hebb (1949)