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April 7, 20260 citationsOpen Access

Decoherence of Inequivalent Hamiltonians in the Early Universe: A Minimal Two-Law Model in de Sitter Space

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RCRobert M. Clark

Key Points

  • The central aim is to explore how inequivalent Hamiltonians interact with a de Sitter environment during inflation and how this leads to decoherence.
  • Developed a minimal two-law model for analysis.
  • Analyzed interactions of different Hamiltonians in a de Sitter space.
  • Examined the timescale of decoherence during inflation.
  • Decoherence occurs rapidly on timescale τ_d ~ 1/((Δg)^2 H).
  • Interference between law sectors is suppressed during inflation.
  • Inflation appears to enforce classicality on both states and dynamical rules.

Abstract

This work explores a minimal, analytically tractable model in which inequivalent Hamiltonians—representing different possible “laws of physics”—interact with a de Sitter environment and undergo rapid decoherence during inflation. The model demonstrates that interference between law sectors is suppressed on a timescale τd ~ 1/ ( (Δg) ² H), suggesting that inflation enforces classicality not only on states but on dynamical rules themselves. This upload includes the full manuscript, LaTeX source, and updated acknowledgments describing the use of AI-based tools during drafting and revision.

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Cite This Study

Robert M. Clark (2026) studied this question.

synapsesocial.com/papers/69d49fc5b33cc4c35a2283a6https://doi.org/10.5281/zenodo.19428476
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