Work

Exact Periodicity Does Not Evade the Boltzmann Brain Problem

Year: 2026

Type: article

Abstract: Carroll, Diachenko and Dulani proposed that a finite quantum universe with commensurable energy levels evolves periodically, and that its low-entropy bounce then recurs far more often than the law exp(−ΔS) allows, so that ordinary observers outnumber Boltzmann brains. This paper proves that this is not so. Born-weighted rates do not depend on whether the spectrum is commensurable. For macrostates in general position the minimal macrostate carries weight (d+1)/(D+1), and the period obeys T·ΔE ≥ 1.5/(that weight). The proposed range of periods is therefore empty unless the macrostates are fine-tuned or the dynamics explores no more entropy than a single Boltzmann brain. LaTeX source, figure and PDF.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.24127725

Author: Bhattacharjee, Deep

Language: English

Topic: Cosmology and Gravitation Theories

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225779097

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