Falling in Love with Constants A Universal Scaling Law for the Fundamental Constants of Physics

This repository contains the complete computational implementation and results for the Universal Scaling Law - a proposed fundamental principle that generates all physical constants from a single mathematical equation: C = c^a × α^b × d^c × L^d × [log(13)]^e × (φπ)^f. The law combines the speed of light, fine structure constant, Planck length, Bohr radius, natural logarithm of 13, and golden ratio times π with rational exponents to reproduce 21 fundamental constants with 99.77% average accuracy. Includes Python implementation, complete JSON results dataset, and comprehensive visualization analysis. This work suggests that physical reality may emerge from deeper mathematical harmonic structures involving logarithmic and geometric constants.

Publication Details

Journal
Open Science Framework
Published
2025-01-01
DOI
https://doi.org/10.17605/osf.io/txs7d
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

Falling in Love with Constants A Universal Scaling Law for the Fundamental Constants of Physics

Open Science Framework
Advanced Mathematical Theories and Applications
article

Falling in Love with Constants A Universal Scaling Law for the Fundamental Constants of Physics

article en

Abstract

This repository contains the complete computational implementation and results for the Universal Scaling Law - a proposed fundamental principle that generates all physical constants from a single mathematical equation: C = c^a × α^b × d^c × L^d × [log(13)]^e × (φπ)^f. The law combines the speed of light, fine structure constant, Planck length, Bohr radius, natural logarithm of 13, and golden ratio times π with rational exponents to reproduce 21 fundamental constants with 99.77% average accuracy. Includes Python implementation, complete JSON results dataset, and comprehensive visualization analysis. This work suggests that physical reality may emerge from deeper mathematical harmonic structures involving logarithmic and geometric constants.

Open Science Framework
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Openalex Percentile: Top 66%
Advanced Mathematical Theories and Applications
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Falling in Love with Constants A Universal Scaling Law for the Fundamental Constants of Physics · Open Science Framework (2025) | TGRS Research Map | TGRS