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PreprintCC BYZenodo (CERN European Organization for Nuclear Research)

First-Principles Derivation of the MOND Interpolating Function and Scale from Horizon Thermodynamics

  • David Margetts1
  • Anthony Margetts1
  1. 1Independent researcher
Open at sourceDOICite

Abstract

Paper V of the Entropy-Response Gravity (Bipartite KMS Gravity) programme. Derives the MOND interpolating function mu(x)=x/sqrt(1+x^2) (Standard form) and the relation a_0=cH_0/sqrt(4*pi^2-1) from a Bunch-Davies vacuum threshold condition (Rindler causal horizon = vacuum coherence length), with an independent H_0 implication and testable redshift evolution. Version 4 note: wording corrected per the framework's separation of dimensionless content from magnitude -- the framework derives the dimensionless ratio a_0/(cH_0)=1/sqrt(4*pi^2-1); the scale is set by the input H_0 (not derived). Interpolating-function label corrected to the Standard form (n=2; Simple = x/(1+x), n=1) throughout. Results unchanged.

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Cite

BibTeXRIS
BibTeX
@misc{margetts2026firstprinciples,
  title = {{First-Principles Derivation of the MOND Interpolating Function and Scale from Horizon Thermodynamics}},
  author = {David Margetts and Anthony Margetts},
  howpublished = {Zenodo (CERN European Organization for Nuclear Research)},
  year = {2026},
  month = jun,
  doi = {10.5281/zenodo.20721122},
  url = {https://doi.org/10.5281/zenodo.19424979},
  note = {CC BY},
}
RIS
TY  - UNPB
TI  - First-Principles Derivation of the MOND Interpolating Function and Scale from Horizon Thermodynamics
AU  - David Margetts
AU  - Anthony Margetts
PY  - 2026
DA  - 2026/06/16
PB  - Zenodo (CERN European Organization for Nuclear Research)
DO  - 10.5281/zenodo.20721122
UR  - https://doi.org/10.5281/zenodo.19424979
AB  - Paper V of the Entropy-Response Gravity (Bipartite KMS Gravity) programme. Derives the MOND interpolating function mu(x)=x/sqrt(1+x^2) (Standard form) and the relation a_0=cH_0/sqrt(4*pi^2-1) from a Bunch-Davies vacuum threshold condition (Rindler causal horizon = vacuum coherence length), with an independent H_0 implication and testable redshift evolution. Version 4 note: wording corrected per the framework's separation of dimensionless content from magnitude -- the framework derives the dimensionless ratio a_0/(cH_0)=1/sqrt(4*pi^2-1); the scale is set by the input H_0 (not derived). Interpolating-function label corrected to the Standard form (n=2; Simple = x/(1+x), n=1) throughout. Results unchanged.
ER  -