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PreprintCC BY 4.0Zenodo

Exact Unruh Effect for a Massive Scalar Field: Mass-Gap Suppression and the Boltzmann Misconception

  1. 1INDEPENDENT RESEARCHER

Abstract

Version 4.0 Update Notes:

This version incorporates significant refinements, terminological clarifications, and the addition of cross-references to the unified theoretical framework established in the companion paper (Pillar 6: The Hard Gap Criterion).

Key updates applied across the series:

Unified Framework Integration: Added explicit cross-references linking this specific physical regime (dephasing, Casimir, Unruh, or Bekenstein bounds) to the universal thermodynamic scaling and universality classes of gapped baths rigorously derived in Pillar 6.

Self-Sufficiency: Ensured that the manuscript is fully self-contained and mathematically independent, making it ready for direct submission to peer-reviewed journals without requiring the reader to consult prior papers.

Terminological and Physical Precision: Corrected minor conjectures (e.g., the exact 1/T1/T thermal scaling of the plateau threshold), refined physical terminology (e.g., specifying intermediate-time windows for gapped baths), and updated pedagogical framing to align perfectly with standard literature.

Bibliography: Updated the references to include the latest Zenodo DOIs for the complete six-paper series.

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BibTeX
@misc{bourizk2026exact,
  title = {{Exact Unruh Effect for a Massive Scalar Field: Mass-Gap Suppression and the Boltzmann Misconception}},
  author = {Ali Bourizk},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23664530},
  url = {https://zenodo.org/records/23664530},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Exact Unruh Effect for a Massive Scalar Field: Mass-Gap Suppression and the Boltzmann Misconception
AU  - Ali Bourizk
PY  - 2026
DA  - 2026/10/26
PB  - Zenodo
DO  - 10.5281/zenodo.23664530
UR  - https://zenodo.org/records/23664530
AB  - Version 4.0 Update Notes:  This version incorporates significant refinements, terminological clarifications, and the addition of cross-references to the unified theoretical framework established in the companion paper (Pillar 6: The Hard Gap Criterion).  Key updates applied across the series:  Unified Framework Integration: Added explicit cross-references linking this specific physical regime (dephasing, Casimir, Unruh, or Bekenstein bounds) to the universal thermodynamic scaling and universality classes of gapped baths rigorously derived in Pillar 6.  Self-Sufficiency: Ensured that the manuscript is fully self-contained and mathematically independent, making it ready for direct submission to peer-reviewed journals without requiring the reader to consult prior papers.  Terminological and Physical Precision: Corrected minor conjectures (e.g., the exact 1/T1/T thermal scaling of the plateau threshold), refined physical terminology (e.g., specifying intermediate-time windows for gapped baths), and updated pedagogical framing to align perfectly with standard literature.  Bibliography: Updated the references to include the latest Zenodo DOIs for the complete six-paper series.
ER  -