Methodological position paper on the treatment of the arrow of time in coherence-based theoretical programs. After the structural closure of the macroscopic phenomenological bridge between the coherence field C(x,t) and Margenau-Hill negativity (Zenodo DOI 10.5281/zenodo.20073982 and 10.5281/zenodo.20077155, May 2026), this paper articulates the architectural identification dt = -dC/Γ, the effective coherence-entropy bridge, and the four-fold epistemic filter (derivation, bound, approximation, correlation) adopted as universal pruning criterion. Includes methodological implications for AI-assisted theoretical programs: the five-element requirement for operational claims and the two-threshold rule for speculative sessions.
Methodological position paper on the treatment of the arrow of time in coherence-based theoretical programs. After the structural closure of the macroscopic phenomenological bridge between the coherence field C(x,t) and Margenau-Hill negativity (Zenodo DOI 10.5281/zenodo.20073982 and 10.5281/zenodo.20077155, May 2026), this paper articulates the architectural identification dt = -dC/Γ, the effective coherence-entropy bridge, and the four-fold epistemic filter (derivation, bound, approximation, correlation) adopted as universal pruning criterion. Includes methodological implications for AI-assisted theoretical programs: the five-element requirement for operational claims and the two-threshold rule for speculative sessions.
Description Causality and Arrow of Time is a unifying theoretical work within the author’s ongoing research program on discrete quantum process structures. The paper provides a formal, process-level derivation of causality and the arrow of time as emergent properties of branching quantum dynamics, rather than as fundamental primitives. The central methodological contribution of this work is the use of P-Tacts (П-такты) as primitive units of quantum evolution. Each P-Tact is defined as an irreducible process consisting of a local unitary operation and an entangling unitary operation. From sequences and superpositions of such P-Tacts, directed process graphs naturally arise. Within these graphs, causal relations and temporal ordering are shown to emerge from topology and branching structure, without invoking an external or background time parameter. This article synthesizes and extends the results developed across the author’s previous works, to which it is explicitly self-referential. In particular, it unifies earlier analyses of quantum switch, indefinite causal order, teleportation, emergent time, and Everettian branching into a single causal framework. The present work directly builds upon and integrates the following publications: Pavlov, M. (2026). Quantum Switch as an Emergent Process Structure from Discrete Process Tacts (П-такт).Zenodo. https://doi.org/10.5281/zenodo.18498181 Pavlov, M. (2026). Quantum Switch and Teleportation.Zenodo. https://doi.org/10.5281/zenodo.18509173 Pavlov, M. (2026). Emergence of Causality, Gravity, Time, and Three-Dimensional Space from Discrete P-Tact (П-такт) Dynamics.Zenodo. https://doi.org/10.5281/zenodo.18504244 Pavlov, M. (2026). P-Tact (П-такт) as the Primitive Unit of Quantum Theory.Zenodo. https://doi.org/10.5281/zenodo.18516711 Pavlov, M. (2026). Indefinite Causal Order as a Graph-Theoretic Property of P-Tact Networks.Zenodo (companion work within the same research program). Pavlov, M. (2026). Process Graphs and the Topological Origin of Quantum Time.Zenodo (companion work within the same research program). Pavlov, M. (2026). Branching Dynamics and Everettian Memory Structures.Zenodo (companion work within the same research program). Pavlov, M. (2026). Discrete Process Foundations of Quantum Measurement.Zenodo (companion work within the same research program). Together, these works form a coherent research program in which causality, temporal direction, and branching structure are not postulated but constructed from discrete quantum processes. A key conceptual motivation of this paper is the historical observation that foundational insights often precede the formal tools required to express them precisely. In this spirit, the present framework may be read as a formal completion of ideas first articulated by Hugh Everett III. Everett’s conception of universal wavefunction branching, proposed more than seventy years ago, anticipated many structural features of modern quantum information theory, yet lacked an explicit process-level formalization. This work offers such a formalization. Everettian branching is interpreted here as a concrete graph-theoretic phenomenon generated by P-Tact dynamics, with causal order and the arrow of time emerging as derived, observable features of the branching network. In this sense, the paper does not revise Everett’s ideas but renders them mathematically operational, linking early conceptual foundations to contemporary quantum technologies such as quantum switch, teleportation, and indefinite causal order. The article thus stands as both a technical contribution to quantum foundations and quantum information theory, and as a scholarly tribute to Everett’s legacy—demonstrating that ideas once considered purely interpretational can now be expressed within a precise and testable structural framework.
We propose a speculative but quantitatively constrained phenomenological framework in which the thermodynamic arrow of time emerges from entropy-dependent decoherence in open quantum systems. Higher environmental entropy strengthens decoherence, preferentially de- stroying quantum coherence in one temporal direction, thus providing a microscopic mechanism for irreversibility. The formalism is constructed within an effective Lindblad master-equation approach, recovering unitary quantum mechanics and standard thermodynamics in appropriate limits. A toy two-level system illustrates the emergence of coherence decay and an effective microscopic arrow of time.
The arrow of time is one of the most profound and persistent mysteries in physics. While the microscopic dynamical laws are (almost) time-symmetric, the macroscopic world exhibits a clear temporal direction. This paper introduces a records-based diagnostic criterion for evaluating explanations of temporal asymmetry: any successful account must explain why stable, redundant records of a system's state are generically produced toward the future, but not the past. We show how the established frameworks of decoherence and quantum Darwinism provide the mechanism for record creation, but that the temporal asymmetry of this process is not derivable from dynamics alone. Instead, it depends crucially on a low-entropy boundary condition—the Past Hypothesis. We then critically evaluate leading alternative explanations—including inflationary cosmology, quantum cosmology, and fluctuation scenarios—demonstrating that they either fail to meet our diagnostic criterion or covertly presuppose the asymmetry they seek to explain. We argue that the records criterion does not replace the Past Hypothesis but constrains what any replacement would have to accomplish. By distinguishing record formation as a dynamical process from record availability as an epistemic structure, we clarify that the arrow of time is best understood not as a feature of dynamics, but as a structural consequence of boundary conditions that permit asymmetric epistemic access for embedded observers. The problem of time's arrow is thus most precisely formulated as: why did our universe begin in a state that permits the temporally asymmetric proliferation of records?
This preprint develops a unified coherence-based formulation of physical time grounded in the χ–η–I invariant structure of the Aletheia framework. Across quantum, thermodynamic, gravitational, and cosmological regimes, the paper introduces a scalar coherence potential Ψ constructed from purity, entropy, and structural persistence, and proposes that the physical time increment satisfies the differential law: dt = –κ dΨ In this formulation, time flow is the measurable rate at which coherence is depleted through decoherence, coarse-graining, or environmental coupling. When Ψ is constant—as in globally stationary, Page–Wootters–style quantum states—no internal time elapses. When coherence degrades, time emerges as the bookkeeping of informational loss. The paper demonstrates that this temporal-coupling law naturally reproduces: Thermodynamic time in the macroscopic limit (dt ∝ dS), Quantum decoherence arrows in open-system dynamics, Proper-time–like behavior in weakly decohering or isolated systems, Cosmological time flow via mode decoherence in an expanding FRW universe. Explicit models including qubit dephasing, Lindblad oscillators, and cosmological field modes illustrate how temporal coupling unifies arrows of time across domains traditionally treated with separate frameworks. This formulation provides a coherence-theoretic bridge between general relativity, quantum decoherence, and thermodynamic irreversibility, offering an empirically grounded alternative to conventional parameter-time, thermal time, and entanglement-clock approaches.
This volume transitions the quantum thermodynamics discourse from merely observing macroscopic irreversibility to its active creation, manipulation, and structural engineering at the microscopic scale. The theoretical foundation is established by anchoring the universal arrow in the Entanglement Past Hypothesis (EPH), which posits a pure, unentangled initial state for the universe, and the "tooth of time" mechanism, which links irreversibility to state-space non-degeneracy. The paper demonstrates that the thermodynamic arrow is a highly local and malleable resource, governed not by a monolithic global time parameter, but by the geometric flow of Quantum Causal Influence (QCI) and local Rényi entropy gradients. This is evidenced by spontaneous temporal oscillations observed in constrained non-ergodic systems like quantum many-body scars. Operationally, the arrow can be inverted locally by using continuous measurement back-action and targeted feedback Hamiltonians, enabling quantum engines to extract coherent work and drive processes like spontaneous cold-to-hot heat flow by leveraging initial quantum correlations. Furthermore, the Intrinsic Hamiltonian of Mean Force (I-HMF) is introduced to rigorously secure the equivalence between information loss and physical irreversibility even in the extreme strong-coupling regime. Also available on Academia.edu: https://www.academia.edu/attachments/132724386/download_file?s=portfolio
Within the Radial Coherential Dynamics (RCD) program, we test whether a phenomenological macroscopic bridge between the dynamics of a coherential scalar field C(x,t) — governed by an Allen-Cahn drift with multiplicative Wright-Fisher noise — and the experimentally measured Margenau-Hill quasiprobability negativity on IBM superconducting hardware can be constructed using differential observables based on spatial gradients of C. Three independent observables in the gradient family are evaluated: an instantaneous integral S_nabla[C] = ∫|∇C|² dx, a temporal-integral form W_int accumulating the instantaneous form across the simulation window, and a pointwise maximum S_nabla_max[C] = max_x |∂_x C|. All three observables are normalized as differential ratios between coherent and control preparations. Synthetic tests with three controlled decay regimes (exponential, linear, threshold) show Pearson correlation between exponential and linear regime curves of +0.9995, +0.9999, and +0.9995 respectively for the three observables — virtually identical kinetic responses for functionally distinct decay forms. We conclude that gradient-based phenomenological observables with differential cociente normalization are structurally kinetic-blind: they detect monotonic decrease of structure but cannot distinguish the form of the decay. High correlation with an experimental survival curve is not sufficient evidence of kinetic agreement when both curves are monotone. This closes the gradient family as a candidate for the macroscopic-microscopic phenomenological bridge in this program, while leaving open non-gradient observables and microscopic-dictionary derivations as future routes. The result extends the previous registered negative result of v1.0 (Zenodo 10.5281/zenodo.20073982) from a specific observable failure to a structural limitation of an entire observable family, with full ex-ante kill-switch protocol and synthetic adversarial testing.