Radioactive decay is conventionally treated as a purely stochastic process characterized by a constant decay rate. Recent high-precision measurements of the Technetium-98 β⁻ decay envelope provide an opportunity to examine whether decay dynamics exhibit deterministic structure beyond a single exponential approximation. This work presents a geometry-based interpretation of the recently measured Technetium-98 β⁻ decay envelope using a shell-decoherence framework. With a single calibrated parameter establishing the absolute time scale, the model reproduces the observed multi-exponential decay structure without fitting the envelope shape. The same parameter is applied unchanged to neighboring isotopes to assess predictive scope and constraint. The results suggest that structured state-space geometry can underlie observed nuclear decay dynamics beyond a single exponential law. Together with independent results in condensed matter, gravitational physics, quantum foundations, and engineered quantum systems, these findings contribute to a unified geometry-first perspective on physical processes across scales. Additional details, visualizations, and simulation output are available at:https://wavecode.net/technetium-98-decay
Radioactive decay is conventionally treated as a purely stochastic process characterized by a constant decay rate. Recent high-precision measurements of the Technetium-98 β⁻ decay envelope provide an opportunity to examine whether decay dynamics exhibit deterministic structure beyond a single exponential approximation. This work presents a geometry-based interpretation of the recently measured Technetium-98 β⁻ decay envelope using a shell-decoherence framework. With a single calibrated parameter establishing the absolute time scale, the model reproduces the observed multi-exponential decay structure without fitting the envelope shape. The same parameter is applied unchanged to neighboring isotopes to assess predictive scope and constraint. The results suggest that structured state-space geometry can underlie observed nuclear decay dynamics beyond a single exponential law. Together with independent results in condensed matter, gravitational physics, quantum foundations, and engineered quantum systems, these findings contribute to a unified geometry-first perspective on physical processes across scales. Additional details, visualizations, and simulation output are available at:https://wavecode.net/technetium-98-decay
This project presents a conceptual and mathematical hypothesis concerning the apparent randomness of radioactive decay. While current nuclear physics models describe decay as a fundamentally stochastic and random process with a constant decay rate, this work explores the possibility that the randomness may come from rapidly fluctuating internal nuclear states that are not directly obsercable by measurement. The central idea is that the effective decay constant measured experimentally represents a time-averaged quantity over a distribution of internal configurations, associated with slightly different decay probabilities. In this framework, radioactive decay remains statistically exponential at observable timescales, while allowing for hidden internal dynamics consistent with established quantum mechanical principles. My work does not claim experimental verification. Instead, it aims to outline a phenomenological structure compatible with known decay laws and to identify conditions under which small, systematic deviations might arise under perturbations.
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
The quantum-mechanical time evolution of an isolated \ensuremath{\beta}-unstable nuclear state in the context of certain models predicts that the square of the amplitude of the initial undecayed state becomes an approximately exponential function of time on a timescale on the order of ${10}^{\ensuremath{-}22}--{10}^{\ensuremath{-}21}\phantom{\rule{0.16em}{0ex}}\mathrm{s}$. It was argued that a measurement process required to distinguish between the parent and the daughter nuclear states in such a short time would destroy the characteristics of the long-lived \ensuremath{\beta}-unstable nuclear state, thus fundamentally restricting the observability of \ensuremath{\beta} decay on a short timescale. Since the interaction of the nuclear state with the environment is almost inevitable, we have obtained the timescale of initial non-exponential decay for the nuclear \ensuremath{\beta} decay from an estimation of quantum decoherence time considering the atom of the decaying nucleus as a quantum detector. It has been found from such considerations that a decoherence timescale of \ensuremath{\beta} decay is on the order of ${10}^{\ensuremath{-}16}--{10}^{\ensuremath{-}15}\phantom{\rule{0.16em}{0ex}}\mathrm{s}$ and the decay should remain reversible and non-exponential on this timescale. The possibilities of observing the effect of non-exponential decay in nuclear systems have been discussed.
Quantum entanglement is traditionally described as a statistical correlation encoded in a many-body wavefunction. While this framework successfully predicts measurement outcomes, it leaves unresolved whether entanglement reflects purely probabilistic structure or an intrinsic physical organization of quantum states. Recent experiments have demonstrated that high-dimensional entangled states possess thousands of distinct, experimentally accessible topological invariants that persist under basis changes, noise, and local perturbations. These features are difficult to reconcile with a purely statistical interpretation of the wavefunction, but arise naturally if entanglement corresponds to intrinsic geometric structure within state space. This work analyzes experimental results reported in Nature Communications (2025) showing robust, high-dimensional topological structure embedded in conventional entangled states. We show that the multiplicity, stability, and basis-independence of these invariants support an interpretation of entanglement as intrinsic geometry rather than as observer-dependent probability. Under this interpretation, nonlocal correlations reflect shared geometric structure rather than information transfer, and robustness arises from topological protection rather than statistical averaging. The paper does not modify the formal machinery of quantum mechanics, but reframes the physical meaning of the quantum state. Entanglement is interpreted as a geometric configuration of collective modes whose topology constrains allowed correlations. This perspective provides a natural physical explanation for robustness, nonlocality, and measurement independence, and places strong constraints on interpretations in which the wavefunction is purely epistemic. Together with independent results in condensed matter and gravitational physics, these findings support a geometry-first interpretation of quantum phenomena and contribute to a growing body of experimental evidence that quantum states possess intrinsic physical structure beyond probabilistic description.
We report evidence consistent with non-exponential decoherence in superconducting transmon qubits. Ramsey interferometry data from five qubits on IBM Quantum hardware show that a stretched-exponential model f(t) = exp(-(t/T2 ) beta) fits the observed decay better than the standard exponential (beta = 1). On our primary qubit (Q0), we measure beta = 2.06 with R2 = 0.9964 versus R2 = 0.9586 for the exponential, with Bayesian Information Criterion favoring the stretched model by 46 units. While non-exponential decay in superconducting qubits has been previously observed in the context of 1/f noise [4], the present work provides a systematic multi-qubit characterization with a fully reproducible protocol and proposes a falsifiable geometry-dependent prediction (RAB != 1) that distinguishes this framework from collapse-model alternatives.
Decades of work in geometric quantum mechanics and decoherence theory have clarified how quantum behaviour arises from underlying symplectic and dynamical structures, yet both leave unresolved why measurements yield definite outcomes with |ψ|² frequencies. This paper proposes a deterministic geometric account that retains the strengths of those approaches while eliminating the need for stochastic collapse or multiple-world postulates. The result is a unified description in which observed statistics follow from conserved geometry rather than from probabilistic axioms. Physical reality is represented by a single trajectory ω(t) evolving under Hamiltonian flow on a compact symplectic manifold Σ. Interaction with an environment imposes new constraints that dynamically partition Σ into isolated outcome regions {Ωᵢ}, whose invariant volume ratios μ(Ωᵢ)/μ(Ω₀) reproduce Born weights. Outcome definiteness arises from trajectory confinement within an isolated region, and the framework predicts a quantitative correspondence between interference visibility V and the dynamical separation I of outcome regions. In the macroscopic limit, V ≈ 1 − I, so high separation (I → 1) corresponds to classical definiteness and negligible remaining visibility. The exact functional form, together with parameter-free calculations and proposed experimental tests, is developed in the forthcoming Paper C and a companion note (2025–2026). The paper establishes a complete ontological basis for deterministic quantum measurement, defines how isolation and re-isolation govern the appearance of classicality, and clarifies compliance with Bell, Kochen–Specker, Fine, and PBR constraints. It shows that a finite, measure-preserving geometry can reproduce the statistical structure of quantum theory while remaining open to empirical refutation. This framework, termed Constraint-Surface Dynamics, thus offers a deterministic and falsifiable alternative foundation for quantum mechanics.