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Triphasic Entropy of Time (TET): Entropic Conditioning of State Accessibility in Open Quantum Systems

Eduardo R.

Published Apr 16, 2026• 0 citations
Publisher

Abstract

This preprint introduces the Triphasic Entropy of Time (TET), a phenomenological and effective framework that treats entropy as the primary physical quantity underlying what we perceive as time. TET organizes entropy into three regimes (past as fixed entropy, present as changing entropy, future as pre-conditioned entropy) and proposes a minimal toy model that weights transition probabilities by an effective entropic cost, consistent with Lindblad dynamics. The framework predicts that the informational entropy of the environment may induce measurable biases in decoherence rates and outcome probabilities beyond standard predictions. Experimental proposals using superconducting qubits are discussed to test this idea. This work is presented as an initial phenomenological exploration and is intended to stimulate further theoretical and experimental investigation.

DOI
10.5281/zenodo.19614433

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This preprint introduces the Triphasic Entropy of Time (TET), a phenomenological and effective framework that treats entropy as the primary physical quantity underlying what we perceive as time. TET organizes entropy into three regimes (past as fixed entropy, present as changing entropy, future as pre-conditioned entropy) and proposes a minimal toy model that weights transition probabilities by an effective entropic cost, consistent with Lindblad dynamics. The framework predicts that the informational entropy of the environment may induce measurable biases in decoherence rates and outcome probabilities beyond standard predictions. Experimental proposals using superconducting qubits are discussed to test this idea. This work is presented as an initial phenomenological exploration and is intended to stimulate further theoretical and experimental investigation.
The Total Entropic Quantity (TEQ) framework derives quantum mechanics from entropy-driven selection principles, unifying entropy, emergent time, and thermodynamic evolution. TEQ decomposes total entropy into realized entropy (macroscopic disorder), latent entangled entropy (quantum correlations), and latent classical entropy (stable classical records), clarifying how classical irreversibility arises from global quantum coherence. A central result is \textit{Universal Entropic Time} (UET), defined by the monotonic growth of realized entropy. UET aligns the thermodynamic arrow of time with cosmological expansion, linking decoherence to macroscopic irreversibility. TEQ offers a unified epistemic-ontological interpretation of measurement, reconciling the Copenhagen and Many-Worlds views as complementary facets of entropy redistribution. It also provides an entropic explanation for quantum stability---especially in Majorana qubits---and suggests that spacetime and causal structure emerge from entropy gradients.TEQ yields two testable predictions: (1) Majorana qubits should exhibit extended coherence due to suppressed entropy flow; and (2) the entropic driver f(Λ(t))f(\Lambda(t))f(Λ(t)) has a unique global maximum, implying that dark energy peaked in the past---a result consistent with recent DESI observations. Future work will derive quantum dynamics from an entropy-weighted variational principle, aiming to recover the Schr\"odinger equation, the Born rule, and quantum suppression from entropic constraints.
The Total Entropic Quantity (TEQ) framework derives quantum mechanics from entropy-driven selection principles, unifying entropy, emergent time, and thermodynamic evolution. TEQ decomposes total entropy into realized entropy (macroscopic disorder), latent entangled entropy (quantum correlations), and latent classical entropy (stable classical correlations), clarifying how classical irreversibility emerges from global quantum coherence. A key result is Universal Entropic Time (UET), a synchronized temporal structure governed by realized entropy growth. UET aligns the thermodynamic arrow of time with cosmological evolution, linking decoherence to macroscopic irreversibility. TEQ provides a unified epistemic and ontological perspective on quantum measurement, reconciling the Copenhagen and Many-Worlds interpretations as complementary descriptions of a single entropy-driven selection mechanism. Additionally, entropy minimization explains the stability of quantum systems such as Majorana qubits, while entropy gradients suggest a mechanism for spacetime emergence and causal order. Entropy redistribution in TEQ acts as an active selection principle, stabilizing preferred trajectories while suppressing unstable quantum states. Future work will develop an entropy-weighted variational principle to formalize path selection in TEQ, aiming to derive quantum dynamics---including the Born rule, wavefunction suppression, and the Schrödinger equation---from entropic constraints. This approach is expected to clarify how path weights relate to entropy redistribution and selection, offering a thermodynamic basis for quantization. Notably, TEQ makes its first concrete prediction: Majorana qubits should exhibit extended coherence times due to suppressed entropy redistribution, offering an experimentally testable signature of the framework.
A possible mechanism of time is formulated by developing an idea of time replaced by quantum correlations, with the aid of modern quantum information theory. We invent a microscopic model, where correlations of a closed system are steadily read out as internal, quantum clocks that define time via their relative phases. The model could realize emergent time evolutions which exhibit unitarity of quantum theory, while its underlying process is driven entropically. The key quantity turns out to be the amount of accessible information about the clocks recording past events. By postulating the so-called data-processing inequality (or strong subadditivity of entropy) as a fundamental, physical limitation about how information decays, we propose that conditional entropy about this past information should be constrained to be a positive constant. The proposal implies a holographic property of this conditional entropy in an analogous manner with the area law of entanglement entropy.
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.
This record presents Execution-Based Quantum Theory of Measurement: A Thermodynamic Completion Framework, a theoretical framework addressing the unresolved question of how and when quantum possibilities become executed physical outcomes. Standard quantum mechanics accurately predicts probability distributions but does not specify the physical conditions under which a potential outcome becomes an irreversible fact. This work proposes a completion rule, not an interpretation, grounded in continuous time evolution, irreversible dissipation, and global informational consistency. The framework introduces: Execution as a time-extended, physical process distinct from decoherence A minimum irreversible energy dissipation condition required for outcome realization A measurable execution timescale (τₑₓₑc), distinct from decoherence time A Wait State regime where interference may be suppressed while execution remains incomplete Conditional, sequential extension of reality through successive executions, without invoking observer causation, instantaneous collapse, or parallel universes The theory preserves all established first principles, including unitary quantum dynamics prior to execution, thermodynamics, and a single continuous spacetime. Observers and measurements are treated as physical record-holders that arise after execution, not as causal agents. Four falsifiable experimental tests are proposed across independent platforms: Tunable dissipation in superconducting circuit QED Photonic which-path storage with dissipation gating Mesoscopic pointer systems with controlled environmental damping Matter-wave interferometry under adjustable thermal load Each experiment provides explicit scaling laws and failure criteria to test the separation between decoherence and execution. This framework is derived from, but does not redefine, the Resonance Trinity Law (RTL), which serves as the parent substrate-level principle. No experimental validation is claimed in this record; the purpose is to define a clear, testable theoretical structure and safeguard authorship prior to experimental investigation.