What question did this study set out to answer?

The central aim is to explore how inequivalent Hamiltonians interact with a de Sitter environment during inflation and how this leads to decoherence.

April 7, 2026Open Access

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

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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