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Testing Residual Timing Effects After State Stabilisation

Mina Moussa

Published May 24, 2026• 0 citations
Publisher

Abstract

Exploratory experimental quantum-preparation preprint investigating whether prior state-transition history can leave measurable residual timing signatures after a quantum system has stabilised into an identical repeated final state. The work proposes a falsifiable high-statistics timing experiment comparing direct state preparation against deep alternating preparation histories, while measuring only during the stabilised phase. The framework includes timing-resolved observables, decay analysis, systematic controls, sequence inversion tests, statistical sensitivity estimates, and reproducibility pseudocode using modern photonic timing hardware. Intended as an experimental proposal rather than a claim of established non-standard quantum behaviour.

DOI
10.5281/zenodo.20363818

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Exploratory experimental quantum-preparation preprint investigating whether prior state-transition history can leave measurable residual timing signatures after a quantum system has stabilised into an identical repeated final state. The work proposes a falsifiable high-statistics timing experiment comparing direct state preparation against deep alternating preparation histories, while measuring only during the stabilised phase. The framework includes timing-resolved observables, decay analysis, systematic controls, sequence inversion tests, statistical sensitivity estimates, and reproducibility pseudocode using modern photonic timing hardware. Intended as an experimental proposal rather than a claim of established non-standard quantum behaviour.
This work develops a relativistic variational framework based on phase invariance. Starting from relativistic wave-phase invariance, the relation -ħ δΦ = δE δt - δp·δx is obtained, together with the limiting cases δt = 0 ⇒ ħ δΦ = δp·δx and δx = 0 ⇒ -ħ δΦ = δE δt. The framework associates a given phase with a family of admissible variation configurations rather than with a unique localized classical configuration. This motivates the global operator Λ = |L><L|, acting as Λ|C> = <L|C>|L> = α|L>. A first falsifiable experiment is proposed to test history dependence. Two photon ensembles are prepared through different controlled histories and restored to the same final operational state before entering the same interferometer. Standard state-based quantum mechanics predicts P_A(x) = P_B(x), while the history-sensitive framework allows the possibility of a residual difference ΔP(x) = P_B(x) - P_A(x) ≠ 0. Numerical simulations were then performed using the phase relation above. The simulations confirm that a common global phase leaves coherent probabilities unchanged, whereas relative-phase changes can strongly modify constructive and destructive interference. A four-dimensional scan over (δE, δt, δp, δx) reveals continuous phase-matching families satisfying δE δt - δp·δx = 2πnħ, n ∈ Z. Using the muonium ground-state hyperfine scale, a characteristic phase period of approximately 224 ps is obtained, indicating experimentally relevant phase sensitivity on tens-to-hundreds of picoseconds timescales. A second experiment is therefore proposed: a phase-controlled muonium-antimuonium conversion test. A Ramsey-type microwave sequence controls the relative phase θ = ΔE T / ħ + φ_RF, while the normalized conversion rate R(θ) = N_antiMu(θ) / N_Mu,initial(θ) is measured. The decisive candidate signature is a reproducible residual dependence dR/dθ ≠ 0, after standard coherent dynamics, population-transfer effects, magnetic-field effects, decoherence, and instrumental systematics have been excluded. The simulations do not by themselves prove a new interaction or a single underlying field, but they provide a quantitative phase-matching structure and motivate two experimentally falsifiable tests of the framework.
This work develops a relativistic variational framework based on phase invariance. Starting from relativistic wave-phase invariance, the relation -ħ δΦ = δE δt - δp·δx is obtained, together with the limiting cases δt = 0 ⇒ ħ δΦ = δp·δx and δx = 0 ⇒ -ħ δΦ = δE δt. The framework associates a given phase with a family of admissible variation configurations rather than with a unique localized classical configuration. This motivates the global operator Λ = |L><L|, acting as Λ|C> = <L|C>|L> = α|L>. A first falsifiable experiment is proposed to test history dependence. Two photon ensembles are prepared through different controlled histories and restored to the same final operational state before entering the same interferometer. Standard state-based quantum mechanics predicts P_A(x) = P_B(x), while the history-sensitive framework allows the possibility of a residual difference ΔP(x) = P_B(x) - P_A(x) ≠ 0. Numerical simulations were then performed using the phase relation above. The simulations confirm that a common global phase leaves coherent probabilities unchanged, whereas relative-phase changes can strongly modify constructive and destructive interference. A four-dimensional scan over (δE, δt, δp, δx) reveals continuous phase-matching families satisfying δE δt - δp·δx = 2πnħ, n ∈ Z. Using the muonium ground-state hyperfine scale, a characteristic phase period of approximately 224 ps is obtained, indicating experimentally relevant phase sensitivity on tens-to-hundreds of picoseconds timescales. A second experiment is therefore proposed: a phase-controlled muonium-antimuonium conversion test. A Ramsey-type microwave sequence controls the relative phase θ = ΔE T / ħ + φ_RF, while the normalized conversion rate R(θ) = N_antiMu(θ) / N_Mu,initial(θ) is measured. The decisive candidate signature is a reproducible residual dependence dR/dθ ≠ 0, after standard coherent dynamics, population-transfer effects, magnetic-field effects, decoherence, and instrumental systematics have been excluded. The simulations do not by themselves prove a new interaction or a single underlying field, but they provide a quantitative phase-matching structure and motivate two experimentally falsifiable tests of the framework.
REAL-04A is a preregistration-style experimental protocol designed to test whether two inverse contextual histories can leave a measurable residual difference after a verified physical reset. The protocol compares two ordered histories, H_A: C_1 -> C_2 -> C_3 -> C_1 and H_B: C_1 -> C_3 -> C_2 -> C_1, followed by a reset operation and an independent final readout. The primary null hypothesis is that the final outcome distributions are identical after verified reset. The primary statistic is the total variation distance between the two final distributions, evaluated with block-permutation testing and bounded against preregistered nuisance contributions, including leakage, drift, apparatus memory, reset failure, and finite-sample error. The protocol is intended as a conservative, falsifiable test of residual history-dependence. It does not report experimental data and does not claim evidence for new physics.