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Quantum-Inspired Statistical Physics with Wavefunction Collapse Modeling

Jincheng Zhang

Published Sep 3, 2026• 0 citations
Publisher

Abstract

Quantum-Inspired Statistical Physics with Wavefunction Collapse Modeling Quantum-Inspired Statistical Physics with Wavefunction Collapse Modeling
DOI
10.5281/zenodo.22264502

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Quantum-Inspired Wavefunction Collapse Dynamics (QIWCD) presents a novel mathematical framework for understanding and modeling the collapse of quantum wavefunctions, driven by local interactions. This paper introduces a differential equation that encapsulates the dynamics of open quantum systems, incorporating quantum-like correlations to provide a more realistic representation of wave function evolution. The core mechanism focuses on quantifying the probabilistic nature of collapse, moving beyond deterministic models to capture the inherent randomness and evolution within quantum systems. This research aims to provide a rigorous mathematical foundation for various applications, including quantum computing, simulations, and fundamental physics research.
A purely epistemic interpretation of wavefunction collapse predicts that hardware measurement statistics remain bounded by ideal quantum evolution and calibrated device noise models. We test this prediction using a three-reference validation framework comparing hardware measurements against both ideal unitary evolution and noise-modeled simulations across six quantum computing platforms. In multiple experimental topologies, hardware results consistently fall outside both reference bounds by statistically significant margins and exhibit reproducible, topology-dependent deviation patterns. These deviations appear both at qubits in the collapsed branch and nonlocally across the entangled partner branch that received no collapse operation, with correlated topology-dependent deviation patterns indicating propagation through the W-state entanglement structure. The observed behavior is inconsistent with purely epistemic collapse models and suggests the presence of additional physical dynamics not captured by standard descriptions of measurement.
If the initial quantum state of the universe is a multiverse superposition over many different sets of values of the effective coupling "constants" of physics, and if this quantum state collapses to an eigenstate of the set of coupling "constants" with a probability purely proportional to the absolute square of the amplitude (with no additional factor for something like life or consciousness), then one should not expect that the coupling `constants' would be so biophilic as they are observed to be. Therefore, the observed biophilic values (apparent fine tuning) of the coupling "constants" is statistical evidence against such simple forms of wavefunction collapse.