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March 3, 20260 citationsOpen Access

The Thermodynamic Origin of Wavefunction Collapse: Deriving the GRW Parameter from Reversibility Costs

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KLKhang Lui

Key Points

  • Wavefunction collapse is derived as a complexity-dependent collapse rate lambda(C), providing a new perspective.
  • The collapse parameter approaches zero for microscopic systems, aligning with standard quantum mechanics expectations.
  • Observational analysis uses the Reversibility Cost Theorem to understand the stability of macroscopic superpositions.
  • Implications for fundamental physics highlight a possible mechanism for the transition from quantum to classical behavior.

Abstract

The Measurement Problem in quantum mechanics arises from the tension between the linear, unitary evolution of the Schrödinger equation and the non-linear, stochastic collapse observed during measurement. Spontaneous Collapse theories (such as Ghirardi-Rimini-Weber, GRW) resolve this by postulating a fundamental collapse frequency lambda. However, standard GRW treats lambda as a new constant of nature without an underlying mechanism. In this paper, we derive the collapse parameter from the Dual-Primitive Ontology. We posit that macroscopic superpositions are computationally unstable due to the Reversibility Cost Theorem. When the complexity of a superposition exceeds a critical threshold Nc, the Asymmetric Causation (AC) field triggers a stochastic reduction to minimise the thermodynamic cost of history tracking. We derive a complexity-dependent collapse rate lambda(C) proportional to epsilon(C) and demonstrate that for microscopic systems, lambda approaches 0 (recovering standard Quantum Mechanics), while for macroscopic systems, lambda diverges, ensuring objective classicality.

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Cite This Study

Khang Lui (2026) studied this question.

synapsesocial.com/papers/69a75bb7c6e9836116a238f5https://doi.org/10.5281/zenodo.18403488
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