What question did this study set out to answer?

This work aims to derive a minimal ultraviolet length scale within the BRISM without using gravitational constants.

March 19, 2026Open Access

B12: Planck-Scale UV Length From BRISM Without Using G: A Parameter-Free 99.9998% Structural Derivation

Key Points

This work aims to derive a minimal ultraviolet length scale within the BRISM without using gravitational constants.
Parameter-free calculation based on BRISM's internal interface geometry
Use of the experimentally measured proton Compton wavelength as the only dimensional input
Included structural scale epsilon = 1/pi² and completeness concept
The derived UV length scale matches the CODATA 2022 Planck length with 99.9998% accuracy
Confirmation of a structural definition of the Planck scale without gravitational assumptions

Abstract

This technical note presents a parameter‑free derivation of a minimal ultraviolet (UV) length scale within the BRane Interface Substrate Model (BRISM), achieved entirely without using the gravitational constant G. The only dimensional input is the experimentally measured proton Compton wavelength. All other elements follow from BRISM’s internal interface geometry, including the fixed structural scale epsilon = 1/pi², the two‑sided Naimark–Stinespring completeness, and the transverse projection pattern associated with the U(1) → SU(2) → SU(3) → SU(5) embedding.The resulting UV minimal length numerically matches the CODATA 2022 Planck length with 99.9998% accuracy, despite the complete absence of any gravitational assumptions. The result is therefore not a gravitational definition of the Planck scale but a structural emergence of a Planck‑scale UV cutoff implied by BRISM’s internal geometry and a single infrared input.All BRISM papers on Zenodo >> Searchlist

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