What question did this study set out to answer?

The aim is to explore how conformal causal depth can predict the electron mass through various routes.

May 21, 2026Open Access

Conformal-Depth Routes to the Electron Mass in Meta-Connective Physics

Key Points

The aim is to explore how conformal causal depth can predict the electron mass through various routes.
Analysis of three routes: Planck-2024/PR4, internal MCP structural susceptibility, and external conformal gravity.
Derivation of electron mass from conformal depth and structural angles based on network modeling.
Comparison of predictions against known CODATA values.
Route I predicted electron mass as 0.511058662 MeV, deviating 1.17×10^-4 from CODATA.
Route II provided a prediction of 0.511044 MeV with a deviation of 8.76×10^-5.
Route III suggests conformity with SNIa observations reporting a compatible conformal-depth scale.

Abstract

In the Standard Model, the electron mass is encoded in a Yukawa coupling and is not predicted from first principles. In Meta-Connective Physics (MCP), the microscopic substrate is modeled as a network of Relational Tension Quanta (RTQ). The electron is modeled as an acyclic RTQ influence spine carrying a closed internal massive-Dirac holonomy, embedded in a three-dimensional coherent causal carrier. This paper reframes the electron-mass problem as a metrology problem for the conformal causal depth of the Universe. Once a conformal causal depth T and a structural angle are supplied, the RTQ/MCP electron readout is fixed: \ mₑ^ predc² (T, ₒₓₑₔ₂ₓ) = ₄, ₂₄ c88\, P ₒₓₑₔ₂ₓ (tPT) ^1/3. question is therefore not whether one can tune a lepton mass formula, but which independently auditable route supplies the physically relevant conformal causal depth T ₂₎₍₅^ lock. Three routes are studied. Route I is a Planck-2024/PR4 NPIPE cosmological-parameter route: (H₀, _, c h², h²) fixes ₏ₑ₄^ lock, T ₏ₑ₄^ lock, and reconstructs the historical/conformal value ₒₓₑₔ₂ₓ=0. 3589887297, giving mₑ c²=0. 511058662~MeV, a relative deviation 1. 1710^-4 from CODATA. Route II is the internal MCP structural-susceptibility route: the zero-mode coordinate X supplies a sharper conformal depth T ₂₎₍₅^ lock14. 19~Gyr, giving mₑ c²=0. 511044~MeV, a central-value deviation 8. 7610^-5. Route III is an external conformal-gravity concordance route: Faria's massive conformal-gravity fit to Pantheon SNIa reports t₀=14. 190. 03~Gyr, which is read here not as a proof of MCP but as an external conformal-depth scale compatible with the same RTQ/MCP electron readout. The result is not a Koide-type charged-lepton relation, nor a fitted Yukawa texture. It is a three-route conditional cross-sector audit: Planck-2024/PR4 NPIPE cosmological parameters, MCP structural susceptibility, and an independent conformal-gravity cosmology all feed the same causal-depth readout of the electron. The agreement is a central-value structural closure, not yet a full uncertainty-propagated metrological prediction.

Conformal-Depth Routes to the Electron Mass in Meta-Connective Physics

Key Points

Abstract

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