This document presents a phenomenological framework describing quantum decoherence through a single compact formula: ln V = −0.5 × (ωσ)² × λᵅ. The model accommodates different decoherence mechanisms within a unified mathematical structure, with α as the mechanism-distinguishing parameter (α=1 for gas collision, α≈2 for thermal radiation). It fits existing C70 fullerene interferometry data and generates a novel, falsifiable prediction — the Time-Scheduling Effect — which predicts that under matched average decoherence rates (∫Γ dt), pulsed observation suppresses visibility more strongly than continuous observation (V_pulse < V_cont). Standard linear decoherence theory predicts V_pulse = V_cont under the same conditions. Mathematical formalization was completed with AI assistance (Claude, Anthropic); the original conceptual framework and physical reasoning are the author's own.
This document presents a phenomenological framework describing quantum decoherence through a single compact formula: ln V = −0.5 × (ωσ)² × λᵅ. The model accommodates different decoherence mechanisms within a unified mathematical structure, with α as the mechanism-distinguishing parameter (α=1 for gas collision, α≈2 for thermal radiation). It fits existing C70 fullerene interferometry data and generates a novel, falsifiable prediction — the Time-Scheduling Effect — which predicts that under matched average decoherence rates (∫Γ dt), pulsed observation suppresses visibility more strongly than continuous observation (V_pulse < V_cont). Standard linear decoherence theory predicts V_pulse = V_cont under the same conditions. Mathematical formalization was completed with AI assistance (Claude, Anthropic); the original conceptual framework and physical reasoning are the author's own.
We present the Dynamical Scalar Field Theory (DSFT), a complete and self- consistent framework that explains quantum entanglement as a topological remnant of the pre-Big Bang Euclidean phase. In this theory, entanglement is not a nonlocal correlation but a geometric property of spacetime: two entangled particles are connected by a static topological soliton (phase-locking filament) within which the effective metric becomes Euclidean (Ω = 0, dt = 0), rendering spatial separation meaningless. We derive the full Lagrangian from first principles, including non-minimal cou- pling to matter (ξϕ2ρm) and curvature (αϕ2R), and demonstrate the existence of stable soliton solutions via the Bogomol’nyi bound. The decoherence process is identified as a sudden geometric phase transition (Ω : 0 → 1) occurring on the Planck time scale (∼ 10−43 s), independent of spatial distance. A detailed numerical analysis resolves previous dimensional inconsistencies: the correct prediction for the soliton response time is τresp ≈ 5.4 × 10−42 s, not 85 as. The attosecond time scale can be recovered only by introducing a perturbative term γϕ˙2ϕ 2 with γ ∼ 1050, which acts as a dynamical slowing mechanism. We further derive a dynamic cancellation mechanism via α(ϕ) that maintains soliton stability across a wide range of matter densities. Our model predicts FQ ∼ 1049 for a macroscopic crystal at T ∼ 10 K, in quantitative agreement with the recent Nature Physics observation of multipartite entanglement in the strange metal CePdSi (Mazza et al., 2026). The framework offers seven distinct predictions, five of which are experimentally testable with current or near-future technology. This work establishes DSFT as a mathematically rigorous, falsifiable theory that bridges quantum information, condensed matter, and gravitational physics, providing a physical mechanism for entanglement without violating causality or Lorentz invariance. https://doi.org/10.5281/zenodo.20724433 New version of this DOI
Title: Sustaita's Temporal Anchoring Equation: A Phenomenological Model of the Quantum-Classical Transition with Falsifiable Predictions Author: Jose Miguel Sustaita González Abstract: A phenomenological model is proposed in which space and time are treated as conceptually distinct entities: space acts as a three-dimensional stage, while time is described as a geometric flow that traverses it. Gravity — interpreted as curvature of space — modulates the intensity of this flow, slowing it near massive objects and releasing it in vacuum. A dimensionless anchoring parameter α ∈ [0,1] is introduced to quantify the resistance of a material system to being dragged by this flow. Under this hypothesis, the quantum regime (α → 0) corresponds to poorly anchored systems, while the classical regime (α → 1) emerges when the system is strongly anchored through interactions with the environment or by its own gravitational inertia. The model leads to three falsifiable experimental predictions: (i) the critical gas pressure that destroys quantum coherence scales as P_c ∝ 1/m^2 for fixed-radius particles; (ii) the temporal anchoring rate scales as β ∝ m^2; and (iii) visibility curves for different masses collapse when plotted against t · m^2. Two experiments — one based on Talbot-Lau interferometry and another on discrete counting of anchoring events — are proposed to test these predictions. The manuscript includes detailed derivations of the effective gas decoherence rate (including the distinguishability suppression factor), blackbody radiation and phonon rates, dimensional verifications, numerical evaluations of P_c for the proposed experimental parameters, and a comparison with standard decoherence predictions. Keywords: Quantum decoherence, Quantum-classical transition, Gravitational self-action, Matter-wave interferometry, Temporal anchoring
Contact: Jonathan.duchesne@hotmail.com FinalTDG: Full Mathematical proposition. AddTDG22: Natural Add-ons TDGStressTest: Stress Test results TDGEX: Experimental Protocol TDGpaper: Abstract Temporal Decoherence Geometry (TDG) is a conservative theoretical framework that systematically explores a possible connection between quantum decoherence, weak-field gravity, and an emergent notion of time, while remaining strictly within a GKSL (Lindblad) open quantum dynamics, i.e. Markovian and completely positive, with no ad hoc collapse mechanism. The central idea of TDG is to take seriously the structure of decoherence of an open quantum system and promote it to an effective geometric object: a decoherence tensor Gamma_{mu nu}, constructed from a Lindblad generator, is introduced as the primary source of a weak-field gravitational potential and an emergent time defined from local decoherence rates. The framework is deliberately minimalist in its assumptions: weak-field regime, standard quantum mechanics (no modification of the Schrödinger equation or the GKSL structure), no exotic measurement postulates. This new “DOI version” collects and organises the following elements: A mathematical core in which Gamma_{mu nu} is derived from a GKSL generator (Lindbladian), a gradient-flow–type evolution drives Gamma_{mu nu} towards a quantity proportional to the usual energy-momentum tensor T_{mu nu}, an emergent time scalar T(x) is defined from the local decoherence rate lambda(x), under explicit integrability conditions, an effective weak-field gravitational potential Phi_TDG is associated with this decoherence structure. The analysis of static, spherically symmetric compact configurations, obtained from a simple “decoherence-energy” functional E[gamma], which: have a regular, non-singular core, exhibit a Yukawa-type tail, reproduce a Newtonian / Schwarzschild-like exterior over a given radial interval, while avoiding central singularities. A phenomenological layer in which TDG induces decoherence-dependent corrections to gravitational redshift, encoded in an effective parameter epsilon_TDG. This parameter is, in principle, falsifiable with state-of-the-art optical clocks, providing a clear experimental handle: TDG is not only a formal construction, but a framework that can be constrained or ruled out by precision redshift measurements. A key feature of this revised version is the inclusion of a set of analytical stress tests explicitly designed to challenge the model within the regime it claims to describe (weak-field, GKSL, Markovian): regular-core compact configurations, extreme parameter limits (diffusion, screening length scales, etc.), dynamical behaviour of the decoherence tensor, analysis of the absence of finite-time collapse in the GKSL setting. These stress tests show that, under the stated assumptions and within the weak-field regime, the TDG framework remains regular, well-posed, and consistent with its own domain of validity. The Zenodo deposit therefore gathers both a main TDG manuscript (model structure + weak-field applications) and a technical stress-test note, enabling readers to assess not only the construction itself, but also its internal robustness and phenomenological viability. This deposit is intended to serve as a stable reference for the current version of TDG: it provides the complete description of the framework together with the technical ingredients needed to evaluate its mathematical consistency, its compatibility with weak-field gravity, and its falsifiability through decoherence-sensitive redshift tests with optical clocks.
This preprint introduces the Quantum Continuous Present Theory (QCPT), a conceptual framework proposing that time is an emergent physical property generated by the quantum-state transitions of matter. Instead of treating time as a pre-existing background parameter, QCPT postulates that each material system generates micro-time pulses arising from its internal quantum evolution, and that the global structure of cosmic time emerges from the collective synchronization—partial, imperfect, relativistic, and gravity-modulated—of all these microscopic quantum pulses. The objective of QCPT is not to provide a complete mathematical formalization, which remains open, but to articulate a coherent conceptual model that invites mathematical development and potential experimental exploration. QCPT seeks to bridge the conceptual gap between relativity and quantum mechanics by reinterpreting temporal flow as a property emergent from matter rather than a fundamental backdrop. Version 0.2 expands this framework by introducing a conceptual explanation for the emergence of space. In this view, time arises from the internal rhythm of a single system, whereas space appears only when many such rhythms synchronize and form an ordered structure. This addendum also suggests that the Higgs field acts as the physical medium that enables this synchronization. Taken together, these ideas offer a unified conceptual lens that connects quantum discreteness, relativistic geometry, and phenomena such as interference, decoherence, entanglement, and black-hole information. QCPT 0.2 presents the universe as a rhythmic process in which time emerges from the first micro-pulse of matter, and space arises as the architecture generated by the relative synchronization among multiple temporal micro-pulses. Version 0.3 corrects minor typographical errors and refines the formulation of the fundamental postulates to improve the conceptual coherence between emergent time and the emergence of space. Finally, a Roadmap for the Mathematical Formalization of the QCPT is included, outlining its possible evolution toward a physical field model. In this accompanying document, the temporal micro-pulse (MPT) is proposed as a rhythmic scalar field, amenable to formalization through a Lagrangian. The roadmap suggests that cosmic time and the structure of space emerge as dynamic solutions of global self-consistency, inspired by the structural notion of Nash-type equilibrium and by the dynamics of coupled oscillators in the Kuramoto model. This approach is presented as a preliminary guide for the future mathematical development of the interaction between the MPT, gravity, and the Higgs field.
Standard quantum decoherence theory explains the loss of quantum coherence as arising entirely from the coupling between a system and its external environment. In that framework, the decoherence rate decreases as temperature drops and environmental coupling weakens, vanishing in the ideal limit of absolute zero. This prediction relies on the assumption that time is continuous at the most fundamental scale. We explore the consequences of relaxing that assumption. If physical time possesses a smallest unit τ, then each discrete update of a quantum state necessarily involves at least one irreducible phase refresh. From this we derive a lower bound on the decoherence rate that is independent of any environment: Γ_disc = 1/(2πτ). The bound is intrinsic to the discrete structure of time and cannot be eliminated by cooling or isolating the system. The value of τ is fixed by matching the kinetic term of a discrete U(1) gauge field to the standard continuum theory, yielding τ ≈ 29.7 Planck times. This gives Γ_disc ≈ 3.45 × 10^41 s^{-1}, on the order of the Planck frequency. A crucial difference from standard decoherence theory emerges: while the standard framework permits the decoherence rate to approach zero at absolute zero, the discrete-time framework forbids this convergence absolutely. The two theories thus make mutually exclusive predictions, offering a clear conceptual criterion for experimental distinction. We discuss experimental prospects with full transparency. Current environmental decoherence rates (kHz to GHz) lie many orders of magnitude above Γ_disc, so a direct measurement of the predicted plateau is not feasible with present technology. The falsifiability of the prediction rests on the qualitative, principle-level claim that a strictly zero decoherence rate can never be observed, no matter how perfectly isolated a system becomes. As ultralow-temperature techniques advance, a persistent non-zero decoherence floor would support the discrete-time picture. The paper is part of the Generative Discrete Action Principle series. All derivations leading to Γ_disc > 0 are self-contained and rely only on the three explicitly stated premises of a minimum time step, positive-definite state-update records, and S¹ periodicity of phase. Results borrowed from the broader framework, such as the numerical prefactor that fixes τ, are clearly labeled as citations.
This paper presents the foundational framework of Unified Field Information Theory (UFIT), a phenomenological model describing quantum entanglement as a time-dependent dynamical process rather than an instantaneous correlation. Central to the theory is the postulate of a finite settling time for the pre-resonance field \Lambda(t). Using a second-order damped field equation (the Translator equation), the model predicts a specific characteristic time scale of \tau \approx 38 femtoseconds for photons in the visible spectrum. This version establishes the Z-plane framework, where correlations are viewed as a synchronization process between a metric-free information plane and physical spacetime. The work offers a falsifiable prediction: Bell inequality violations (S > 2) only emerge after this characteristic time scale, which can be tested via attosecond-resolved coincidence measurements.