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ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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A Zero-Parameter Derivation of Fundamental Constants from Informational Geometry

Authors: Vega, Reynaldo;

A Zero-Parameter Derivation of Fundamental Constants from Informational Geometry

Abstract

Two independent derivations—N = α⁻¹/ln(2) from electromagnetism and N = 6 × 3 × 11 from spacetime geometry—converge on the same 198-bit information-geometric architecture (a finite bit-indexed geometric structure whose channel widths k determine mass scales via m/mₚ = exp(−198/k)). A leading-order estimate gives α⁻¹ ≈ N ln(2); applying the observation offset τ yields α⁻¹ = (197 + ln(2)) × ln(2) = 137.0304 (0.004% error). From this architecture, I derive 65+ fundamental quantities with zero free parameters: the electron mass via kₑ = 4 − (1/2π)(1 − α) = 3.842 (0.8% error); the Higgs mass via k_H = 5 + (1/16)(1 − α) = 5.062 (0.4% error); the strong coupling α_s = 0.1181 (0.2% error); the weak mixing angle sin²θ_W = 3/13 (0.2% error); the complete CKM matrix via Wolfenstein parameters λ = 9/40, A = 4/5, ρ = 1/7, η = 4/11 (all <2% error); the complete PMNS matrix via sin²θ₁₂ = 1/3, sin²θ₂₃ = 1/2 + η/8, sin θ₁₃ = 3/(k₁×k₃) (errors 0.2°–5.5°); the complete electroweak scale via constraint running and Yukawa saturation (m_W = 79.8 GeV, 0.7% error; m_Z = 91.0 GeV, 0.2% error); the Higgs potential parameters (λ_H = 0.131, 1.6% error); the dark energy scale ρ_Λ^(1/4) ≈ 1.9 meV (17% error); proton stability (τ_p ≫ 10³⁴ yr); all Z-pole asymmetry parameters; QCD running at multiple energy scales (1.6% average error); and gravitational coupling κ = 1/8π. The generation law k_n = 4 + (4/9)(n−1) unifies quark and lepton mixing. A key discovery: A = 4/5 governs both CKM mixing and QCD confinement. M-theory’s 11 dimensions emerge as d = 3 spatial + 8 SU(3) color.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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Average