What question did this study set out to answer?

This research aims to derive and validate the vacuum rigidity constant and explore its implications for fundamental constants and the proton radius puzzle.

January 23, 2026Open Access

The Vacuum Rigidity Constant ϵ: Internal Consistency of the QRD Lattice and Resolution of the Proton Radius Puzzle

Key Points

This research aims to derive and validate the vacuum rigidity constant and explore its implications for fundamental constants and the proton radius puzzle.
Theoretical derivation of the vacuum rigidity constant epsilon.
Validation using the PR-TAU 5.2.1 protocol.
Introduction of Mass-Energy-Rigidity equivalence and Shannon-Tau information limit.
Epsilon is validated as approximately 5.761 × 10^(-4).
Shows a unique consistency solution linking QRD lattice topology to fundamental constants.
Provides a unified solution to the proton radius anomaly.

Abstract

This paper presents the theoretical derivation and validation of the vacuum rigidity constant 5. 761 10^-4 within the framework of the PR-TAU 5. 2. 1 protocol. We demonstrate that is not an empirical fit but a unique consistency solution linking the Quantum Relational Dynamic (QRD) lattice topology to fundamental constants, mₑ, and mₚ. By introducing the Mass-Energy-Rigidity equivalence and the Shannon-Tau information limit, we provide a unified solution to the proton radius anomaly and a new framework for cosmological expansion through torsion relaxation.

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