Paper 14 develops the quantitative coherence dynamics that follow from the representational framework introduced in Papers 11–13 of The Articulation of Postulate P1. Building on the dissipative generator formulated in Paper 12 and the coherence‑regime structure of Paper 13, this work derives explicit dynamical equations for the bandwidth function c(t). These equations yield closed‑form expressions for coherence drift, decoherence timescales, tunneling corrections, and finite‑time coherence boundaries. The results provide the first operational bridge between Level‑1 representational dynamics and experimentally accessible Level‑2 behaviour. The framework predicts measurable deviations from standard quantum mechanics in regimes where c(t) varies appreciably, including drift‑induced decoherence, coherence‑dependent tunneling suppression, and horizon‑like loss of representability. Paper 14 therefore completes the transition from conceptual reinterpretation to quantitative prediction, preparing the ground for the experimental proposal developed in Paper 15.
Paper 14 develops the quantitative coherence dynamics that follow from the representational framework introduced in Papers 11–13 of The Articulation of Postulate P1. Building on the dissipative generator formulated in Paper 12 and the coherence‑regime structure of Paper 13, this work derives explicit dynamical equations for the bandwidth function c(t). These equations yield closed‑form expressions for coherence drift, decoherence timescales, tunneling corrections, and finite‑time coherence boundaries. The results provide the first operational bridge between Level‑1 representational dynamics and experimentally accessible Level‑2 behaviour. The framework predicts measurable deviations from standard quantum mechanics in regimes where c(t) varies appreciably, including drift‑induced decoherence, coherence‑dependent tunneling suppression, and horizon‑like loss of representability. Paper 14 therefore completes the transition from conceptual reinterpretation to quantitative prediction, preparing the ground for the experimental proposal developed in Paper 15.
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 paper develops the regime‑based structure of the coherence parameter c(t) as the organising principle of Level‑1 representational physics. Building on the stabilisation criteria and state‑mapping formalism introduced in Paper 12, it identifies three coherence regimes—high‑c, intermediate‑c, and low‑c—and shows how major quantum and relativistic phenomena arise as direct consequences of transitions between these regimes. Decoherence is reformulated as a fundamental representational drift driven by the monotonic decrease of c(t), rather than as an environment‑induced process. Tunneling is reinterpreted as bandwidth exit: a Level‑1 mode becomes evanescent in low‑coherence regions and reappears when stabilisation becomes possible again. Entanglement and Bell violations are described as manifestations of shared Level‑1 modes, whose breakdown under decreasing coherence naturally yields classical correlations. Horizon‑like behaviour emerges as a coherence boundary rather than a geometric surface. The resulting framework unifies decoherence, tunneling, entanglement, Bell inequalities, and horizon phenomena under a single representational principle. Paper 13 thus provides the dynamical bridge between the operational constructions of Paper 12 and the empirical analyses developed in Paper 14.
This work is Part 2 of a three‑paper series developing the physical consequences of Postulate P1. Building on the formal framework established in Part 1, this paper develops the dynamical interpretation of quantum behaviour as a direct consequence of representational coherence and structural openness. The analysis introduces the remainder term x and the minimal coherence threshold Cmin, which together determine the transition between classical stability and quantum manifestation.Quantum phenomena—interference, tunneling, superposition, entanglement, and cloud‑chamber tracks—are reinterpreted as expressions of representational multiplicity within an open domain rather than as properties of ontological particles or waves. The paper introduces a modified path‑integral framework in which integration domains are intrinsically incomplete and amplitudes become coherence‑weighted. The classical extremal condition δS=0 is replaced by the structurally mandated condition δS=x, unifying classical and quantum regimes as coherence‑dependent manifestations of the same representational structure.The work further develops the emergence of interaction, symmetry, and conservation laws as coherence‑stability regimes rather than fundamental ontological constraints. Several observational implications are identified, including potential departures from standard quantum mechanics in near‑dissolution, ultra‑low‑coherence, and boundary‑instability regimes. This paper provides the dynamical core of the P1 framework and prepares the way for Part 3, where established physical laws will be derived as limiting cases of maximal coherence.
This work presents a structural reformulation of quantum dynamics based on a scalar coherence functional defined over a general state space. The framework distinguishes two mathematically natural classes of dynamics generated by such a functional:(i) gradient flows, which monotonically increase coherence and correspond to stabilization or selection processes, and(ii) antisymmetric flows, which conserve coherence and generate reversible dynamics. We show that standard unitary quantum mechanics arises as a special case when the state space is a complex Hilbert space, the coherence functional is chosen as the negative energy expectation, and the antisymmetric structure corresponds to the canonical complex structure. In this setting, the Schrödinger equation follows directly from the formalism, without postulating unitarity as an independent axiom. The framework is extended to open systems using the density-operator formalism and completely positive trace-preserving maps. Under standard assumptions (Markovianity, continuity, and semigroup structure), the reduced dynamics takes the Gorini–Kossakowski–Sudarshan–Lindblad form, with dissipative terms interpreted as coherence-stabilizing dynamics. A supporting lemma demonstrates exponential suppression of off-diagonal density matrix elements under dephasing Lindblad operators. Using the Wigner phase-space representation, we further show that conservative coherence dynamics reduces to classical Liouville transport in the semiclassical regime, with quantum corrections governed by the Moyal bracket expansion. This work does not propose a modification of quantum theory. Rather, it offers a structural reorganization of existing formalisms. All results remain fully compatible with standard quantum mechanics while providing a unified perspective on unitary evolution, decoherence, and the emergence of classical behavior. Related work. A companion technical note, Structural Decomposition of SRG Recursion into Flow, Phase, and Closure (Halldórsson & ChatGPT, 2025, Zenodo), develops a discrete dynamical-systems formulation of SRG-style recursion and connects it explicitly to Lemmas 2.5, 2.7, and 2.9 of the present work.
This work introduces a minimal and operational framework for describing decoherence in open quantum systems as a finite-time process. Rather than proposing a new dynamical theory or modifying the axioms of quantum mechanics, the article introduces a bounded, causal, and dimensionless scalar quantity — a local temporal coherence field C(x,t), designed to diagnose the persistence of temporal correlations over a finite causal window. The coherence field is constructed from experimentally accessible observables or reduced-state quantities via a kernel-weighted causal average. It does not represent a new physical degree of freedom and does not introduce additional equations of motion. Instead, it provides a compact diagnostic layer that makes the finite-time structure of coherence explicit, complementing standard descriptions based on memory kernels, time-dependent generators, and Lindblad master equations. The framework is shown to interface naturally with non-Markovian dynamics, coherence-weighted decoherence processes, and effective decay rates, while remaining consistent with standard GKSL structures in the appropriate limits. Its scope, limitations, and relation to existing non-Markovianity measures are explicitly discussed. The coherence-field perspective is intended as an operational and experimentally falsifiable diagnostic tool, applicable across a range of contemporary platforms where finite-time coherence effects are relevant (e.g. superconducting circuits, hybrid light–matter systems, and driven non-equilibrium regimes).This article forms part of the broader Ranesis conceptual framework, which investigates the role of finite-time persistence, coherence, and temporal organization across physical and informational systems. Within that context, the present work constitutes a self-contained and domain-specific application to open quantum systems. No assumptions, postulates, or formal structures from the broader framework are required to read or validate the results presented here.