Constants Without Free Parameters: A First-Principles Derivation from Projection Geometry

This paper derives all known universal physical constants directly from geometric first principles, without any free parameters. Starting from a scale-invariant conformal boundary and a bidirectional projection operator governed by the golden ratio, the framework defines informational unfolding, coherence propagation, and projection curvature. Using these structures, the paper derives the values of Planck’s constant, the speed of light, Newton’s constant, Boltzmann’s constant, the fine-structure constant, the strong coupling constant, the weak mixing angle, the elementary charge, vacuum permittivity, vacuum permeability, and all Planck units. Each constant arises as a resonance effect from golden echo structures under projection from the static, timeless, fully symmtric conformal boundary. No fitting or empirical input is used. All derived values match observed constants within experimental precision. This standalone contribution is part of a broader projection-based framework for emergent spacetime and mass.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-06-18
DOI
https://doi.org/10.5281/zenodo.15694172
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
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article

Constants Without Free Parameters: A First-Principles Derivation from Projection Geometry

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
article

Constants Without Free Parameters: A First-Principles Derivation from Projection Geometry

article en

Abstract

This paper derives all known universal physical constants directly from geometric first principles, without any free parameters. Starting from a scale-invariant conformal boundary and a bidirectional projection operator governed by the golden ratio, the framework defines informational unfolding, coherence propagation, and projection curvature. Using these structures, the paper derives the values of Planck’s constant, the speed of light, Newton’s constant, Boltzmann’s constant, the fine-structure constant, the strong coupling constant, the weak mixing angle, the elementary charge, vacuum permittivity, vacuum permeability, and all Planck units. Each constant arises as a resonance effect from golden echo structures under projection from the static, timeless, fully symmtric conformal boundary. No fitting or empirical input is used. All derived values match observed constants within experimental precision. This standalone contribution is part of a broader projection-based framework for emergent spacetime and mass.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 57%
Advanced Mathematical Theories and Applications
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Constants Without Free Parameters: A First-Principles Derivation from Projection Geometry · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS