Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Experimental Tests of τ‐Ordered Quantum Dynamics: A Protocol for Detecting Time-Drag–Induced Deviations from Standard Quantum Mechanics

Cooney, Paul

Published Nov 26, 2025• 0 citations
Publisher

Abstract

This paper develops concrete, experimentally accessible tests of the τ-ordered formulation of quantum dynamics derived from the screened time-drag scalar field. The proposed protocols identify observables that would deviate from standard quantum predictions if τ ordering modifies phase accumulation or decoherence rates. Practical implementations include precision interferometry, trapped-ion coherence measurements, optomechanical phase-shift experiments, and ultra-stable clock comparisons. Together, these tests provide the first systematic empirical strategy for distinguishing τ-ordered quantum dynamics from conventional t-ordered quantum mechanics. Keywords: τ-ordering, quantum foundations, interferometry, decoherence, precision clocks, time-drag scalar, experimental test of quantum structure, foundational physics.

DOI
10.5281/zenodo.17717507

Related papers

Interferometric Bounds on Temporal-Field Noise in the Scalar Temporal Field Ontology

Cale Scott Howe

This work derives a conservative, operational consequence of the Scalar Temporal Field Ontology (STFO), in which time is modeled as a physical scalar field τ(xμ)\tau(x^\mu)τ(xμ) whose timelike gradient defines a preferred notion of evolution. We show that any two-path interference experiment (optical or matter-wave) yields a quantitative bound on unresolved temporal path-difference fluctuations. Interferometric visibility is identified with the characteristic function of the temporal fluctuation δΔτ\delta\Delta\tauδΔτ, leading to a model-independent constraint on the root-mean-square temporal noise in terms of the measured visibility and the experiment’s phase-generating energy scale. The analysis is intentionally operational and conservative. It does not modify standard quantum probabilities and is compatible with conventional environmental decoherence, appearing as an additional multiplicative coherence factor. Null results therefore impose direct experimental bounds on temporal-field fluctuations within the STFO framework. This paper interfaces quantum foundations, interferometry, and the problem of time, and provides a falsifiable, experiment-facing bridge between the Scalar Temporal Field Ontology and precision laboratory tests.

•Jan 8, 2026•0 citations

Quantum Evolution and Measurement in the Scalar Temporal Field Ontology

Cale Scott Howe

The Scalar Temporal Field Ontology (STFO) treats time as a physical scalar field whose spacetime gradients define causal ordering and temporal directionality. While prior work established the classical dynamics and effective field theory structure of STFO, a consistent formulation of quantum mechanics requires that quantum evolution be defined without reference to an external time parameter. In this work quantum mechanics is derived as unitary evolution along the temporal scalar field itself. Using a covariant path integral formulation, Schrödinger evolution is shown to arise as a gauge-fixed description of dynamics along the normalized temporal congruence. Measurement and the emergence of classical behavior follow from controlled temporal decoherence induced by EFT-suppressed matter couplings. The framework preserves standard quantum mechanics in weak-field regimes while predicting small, environment-dependent deviations accessible to precision experiments.Note:Earlier unified formulations of the Scalar Temporal Field Ontology admit an intrinsic ultraviolet regularization through nonlinear temporal feedback that dynamically saturates stress–energy. In the present phenomenological and quantum analyses, we work explicitly in the controlled low-energy effective limit of this theory, where predictions can be extracted and compared to observations without invoking the full ultraviolet dynamics.

•Jan 3, 2026•0 citations

Experimental Signatures of Coherence Dynamics

H.N. van Roon

This paper develops the first experimental test of the representational framework introduced in Papers 1–14. Building on the coherence dynamics derived in Paper 14 and the regime structure established in Paper 13, it identifies a measurable deviation from standard quantum mechanics arising from the coherence‑dependent dissipation rate γ(c)=γ0e−βc. The paper shows that this exponential form is not an arbitrary ansatz but the minimal monotone function compatible with the structural and phenomenological constraints of the framework. Using a superconducting flux‑qubit architecture, the work derives the predicted tunneling suppression, specifies the observable signatures, and identifies the parameter regimes in which the deviation becomes experimentally accessible. The analysis demonstrates robustness under alternative dissipation laws and under controlled environmental noise. With this paper, the representational programme completes its transition from conceptual reinterpretation to empirical testability, providing a concrete experimental pathway for probing the coherence dynamics at the core of Postulate P1.

•Apr 4, 2026•0 citations

Experimental Evidence for Quantum Phase Dynamics: Non-Exponential Decoherence in Neutron Interferometry

Ayoub Taoussi

This study presents a reanalysis of high-precision neutron interferometry data from the Institut Laue-Langevin (ILL), revealing a significant deviation from the traditionally expected exponential decoherence. The interference visibility exhibits a stretched-exponential decay, characterized by $V(t) = V_0 \exp[-(t/\tau_{\mathrm{coh}})^{1+\varepsilon}]$ with a measured $\varepsilon = 0.18 \pm 0.08$, in agreement with the theoretical prediction of $\varepsilon = 0.23 \pm 0.02$. These results provide the first experimental support for the Quantum Phase Interpretation (QPI), in which quantum systems evolve through dynamical phases rather than static states. The phase-based model achieves a substantially better fit than conventional collapse models, with a 3.9-fold improvement in $\chi^2$, and aligns closely with the theoretical framework of nonlinear phase diffusion. The study has significant implications for the foundations of quantum mechanics, offering new insights into decoherence mechanisms, the measurement problem, and the emergence of classicality from quantum phase dynamics. Proposed future experiments aim to test phase evolution across different quantum systems, including photons, neutrons, and quantum dots. Keywords: Quantum Phase, Neutron Interferometry, Decoherence, Non-Exponential Decay, Quantum Foundations, Phase Dynamics, Measurement Problem

•Jan 10, 2026•0 citations

τ-QUANTUM MECHANICS & τ-QED: Reparameterized Quantum Dynamics with an Internal Clock-Rate Field χ = dt/dτ

Al-Mayahi, Abdulsalam

Standard quantum mechanics parameterizes state evolution by external laboratory time t (e.g., via the Schrödinger equation). This preprint introduces an internal time τ as the primary evolution parameter and defines a clock-rate field χ = dt/dτ that maps internal evolution to laboratory time. The framework reformulates quantum dynamics (and bound-state QED contexts) under τ, treating t as a derived, observer-dependent coordinate rather than a fundamental primitive. Crucially, this work functions as a universal translation layer: in principle, any past or future QM/QED experiment can be re-expressed in τ, enabling direct, dataset-level comparison of whether empirical structure organizes more fundamentally under τ than under t.

•Dec 17, 2025•0 citations

A Phase-Structured Time Model for Quantum Dynamics

Bahman Masarratbakhsh

This work presents a numerical exploration of a phase-structured time model for quantum dynamics, implemented using QuTiP. In this framework, the quantum state phase is governed by a time-dependent scalar field τ(t), with energy defined through E = ℏ dτ/dt. The study investigates how different τ models — including deterministic, stochastic, and correlated stochastic processes — influence observable quantum behavior. Three key phenomena are analyzed: 1. Spectral structure: Structured τ-fields generate richer frequency spectra compared to linear phase evolution, quantified using spectral entropy and bandwidth measures. 2. Interference: The relation between phase differences (Δτ) and quantum overlap is examined. For deterministic and correlated τ models, interference patterns remain highly consistent with cos(Δτ), suggesting robustness of phase-based descriptions. 3. Decoherence: Ensemble-averaged stochastic τ-fields produce decoherence-like behavior. The resulting dynamics are compared against standard Lindblad dephasing models. Significant deviations are observed, including non-exponential decay and non-monotonic behavior, indicating non-Markovian structure. A key result is that a single parameter — the correlation time of τ fluctuations — induces systematic and predictable changes across spectral properties, interference agreement, and decoherence mismatch. This suggests that certain forms of quantum noise may exhibit temporal structure rather than being purely random, and that such structure can be modeled within a unified phase-based framework. This study is exploratory and numerical in nature and does not claim a new physical theory. Instead, it proposes a modeling approach that may be relevant for understanding structured noise, non-Markovian dynamics, and potential improvements in quantum control or error mitigation. Code is available at:https://github.com/bahman2017/tdf_qutip

•Mar 29, 2026•0 citations
This paper develops concrete, experimentally accessible tests of the τ-ordered formulation of quantum dynamics derived from the screened time-drag scalar field. The proposed protocols identify observables that would deviate from standard quantum predictions if τ ordering modifies phase accumulation or decoherence rates. Practical implementations include precision interferometry, trapped-ion coherence measurements, optomechanical phase-shift experiments, and ultra-stable clock comparisons. Together, these tests provide the first systematic empirical strategy for distinguishing τ-ordered quantum dynamics from conventional t-ordered quantum mechanics. Keywords: τ-ordering, quantum foundations, interferometry, decoherence, precision clocks, time-drag scalar, experimental test of quantum structure, foundational physics.
This work derives a conservative, operational consequence of the Scalar Temporal Field Ontology (STFO), in which time is modeled as a physical scalar field τ(xμ)\tau(x^\mu)τ(xμ) whose timelike gradient defines a preferred notion of evolution. We show that any two-path interference experiment (optical or matter-wave) yields a quantitative bound on unresolved temporal path-difference fluctuations. Interferometric visibility is identified with the characteristic function of the temporal fluctuation δΔτ\delta\Delta\tauδΔτ, leading to a model-independent constraint on the root-mean-square temporal noise in terms of the measured visibility and the experiment’s phase-generating energy scale. The analysis is intentionally operational and conservative. It does not modify standard quantum probabilities and is compatible with conventional environmental decoherence, appearing as an additional multiplicative coherence factor. Null results therefore impose direct experimental bounds on temporal-field fluctuations within the STFO framework. This paper interfaces quantum foundations, interferometry, and the problem of time, and provides a falsifiable, experiment-facing bridge between the Scalar Temporal Field Ontology and precision laboratory tests.
The Scalar Temporal Field Ontology (STFO) treats time as a physical scalar field whose spacetime gradients define causal ordering and temporal directionality. While prior work established the classical dynamics and effective field theory structure of STFO, a consistent formulation of quantum mechanics requires that quantum evolution be defined without reference to an external time parameter. In this work quantum mechanics is derived as unitary evolution along the temporal scalar field itself. Using a covariant path integral formulation, Schrödinger evolution is shown to arise as a gauge-fixed description of dynamics along the normalized temporal congruence. Measurement and the emergence of classical behavior follow from controlled temporal decoherence induced by EFT-suppressed matter couplings. The framework preserves standard quantum mechanics in weak-field regimes while predicting small, environment-dependent deviations accessible to precision experiments.Note:Earlier unified formulations of the Scalar Temporal Field Ontology admit an intrinsic ultraviolet regularization through nonlinear temporal feedback that dynamically saturates stress–energy. In the present phenomenological and quantum analyses, we work explicitly in the controlled low-energy effective limit of this theory, where predictions can be extracted and compared to observations without invoking the full ultraviolet dynamics.
This paper develops the first experimental test of the representational framework introduced in Papers 1–14. Building on the coherence dynamics derived in Paper 14 and the regime structure established in Paper 13, it identifies a measurable deviation from standard quantum mechanics arising from the coherence‑dependent dissipation rate γ(c)=γ0e−βc. The paper shows that this exponential form is not an arbitrary ansatz but the minimal monotone function compatible with the structural and phenomenological constraints of the framework. Using a superconducting flux‑qubit architecture, the work derives the predicted tunneling suppression, specifies the observable signatures, and identifies the parameter regimes in which the deviation becomes experimentally accessible. The analysis demonstrates robustness under alternative dissipation laws and under controlled environmental noise. With this paper, the representational programme completes its transition from conceptual reinterpretation to empirical testability, providing a concrete experimental pathway for probing the coherence dynamics at the core of Postulate P1.
This study presents a reanalysis of high-precision neutron interferometry data from the Institut Laue-Langevin (ILL), revealing a significant deviation from the traditionally expected exponential decoherence. The interference visibility exhibits a stretched-exponential decay, characterized by V(t)=V0exp⁡[−(t/τcoh)1+ε]V(t) = V_0 \exp[-(t/\tau_{\mathrm{coh}})^{1+\varepsilon}]V(t)=V0​exp[−(t/τcoh​)1+ε] with a measured ε=0.18±0.08\varepsilon = 0.18 \pm 0.08ε=0.18±0.08, in agreement with the theoretical prediction of ε=0.23±0.02\varepsilon = 0.23 \pm 0.02ε=0.23±0.02. These results provide the first experimental support for the Quantum Phase Interpretation (QPI), in which quantum systems evolve through dynamical phases rather than static states. The phase-based model achieves a substantially better fit than conventional collapse models, with a 3.9-fold improvement in χ2\chi^2χ2, and aligns closely with the theoretical framework of nonlinear phase diffusion. The study has significant implications for the foundations of quantum mechanics, offering new insights into decoherence mechanisms, the measurement problem, and the emergence of classicality from quantum phase dynamics. Proposed future experiments aim to test phase evolution across different quantum systems, including photons, neutrons, and quantum dots. Keywords: Quantum Phase, Neutron Interferometry, Decoherence, Non-Exponential Decay, Quantum Foundations, Phase Dynamics, Measurement Problem
Standard quantum mechanics parameterizes state evolution by external laboratory time t (e.g., via the Schrödinger equation). This preprint introduces an internal time τ as the primary evolution parameter and defines a clock-rate field χ = dt/dτ that maps internal evolution to laboratory time. The framework reformulates quantum dynamics (and bound-state QED contexts) under τ, treating t as a derived, observer-dependent coordinate rather than a fundamental primitive. Crucially, this work functions as a universal translation layer: in principle, any past or future QM/QED experiment can be re-expressed in τ, enabling direct, dataset-level comparison of whether empirical structure organizes more fundamentally under τ than under t.
This work presents a numerical exploration of a phase-structured time model for quantum dynamics, implemented using QuTiP. In this framework, the quantum state phase is governed by a time-dependent scalar field τ(t), with energy defined through E = ℏ dτ/dt. The study investigates how different τ models — including deterministic, stochastic, and correlated stochastic processes — influence observable quantum behavior. Three key phenomena are analyzed: 1. Spectral structure: Structured τ-fields generate richer frequency spectra compared to linear phase evolution, quantified using spectral entropy and bandwidth measures. 2. Interference: The relation between phase differences (Δτ) and quantum overlap is examined. For deterministic and correlated τ models, interference patterns remain highly consistent with cos(Δτ), suggesting robustness of phase-based descriptions. 3. Decoherence: Ensemble-averaged stochastic τ-fields produce decoherence-like behavior. The resulting dynamics are compared against standard Lindblad dephasing models. Significant deviations are observed, including non-exponential decay and non-monotonic behavior, indicating non-Markovian structure. A key result is that a single parameter — the correlation time of τ fluctuations — induces systematic and predictable changes across spectral properties, interference agreement, and decoherence mismatch. This suggests that certain forms of quantum noise may exhibit temporal structure rather than being purely random, and that such structure can be modeled within a unified phase-based framework. This study is exploratory and numerical in nature and does not claim a new physical theory. Instead, it proposes a modeling approach that may be relevant for understanding structured noise, non-Markovian dynamics, and potential improvements in quantum control or error mitigation. Code is available at:https://github.com/bahman2017/tdf_qutip