Three axioms. Two measured values (ε₀, μ₀). Every fundamental constant of nature follows — with zero fitted parameters.
All results derived from ε₀ (vacuum permittivity) and μ₀ (vacuum permeability) using three-phase wave geometry.
The complete TriPhase derivation chain in one document. Starts from three axioms and two measured constants. Derives 42 fundamental quantities across 18 independent mathematical frameworks.
A 327-page technical textbook presenting the complete three-phase wave mechanics framework. Every result is derived — not fitted — and verified by independent Python scripts. Covers particle masses, cosmological constants, force couplings, and structural constants of nature.
Published on Zenodo under open access. Cite the DOI for academic references.
Each constant is derived 18 different ways. Convergence across all 18 is not coincidence.
Five papers applying TriPhase to independent observational datasets — from lab-bench droplets to cosmological surveys. Each paper covers a different scale. All point to the same mechanism.
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Derives all three CMB acoustic peak positions (l = 220, 540, 810) directly from ε₀ and μ₀ mode integers. No sound horizon. No dark matter parameter.
Peaks derived: 220, 540, 810 — matches Planck dataDerives w₀ = −0.835 from the 5/6 vs 1/6 vacuum mode partition. DESI DR2 independently measured −0.838 ± 0.055 after this derivation was published.
w₀ = −0.835 predicted | DESI DR2 = −0.838 (0.36%)Derives the first Bessel zero (x₁ = 2.4048) from ε₀ and μ₀. Connects hydrodynamic walking droplet experiments (Bush, MIT) to vacuum mode coupling as macroscopic analogs.
x₁ derived: 2.4019 vs measured 2.4048 (0.12%)Derives H₀ = 71.48 km/s/Mpc from μ₀ and ε₀. Explains the Hubble tension as two systematic biases in opposite directions — not a cosmological crisis requiring new physics.
H₀ = 71.48 → 73.04 at z=0.044 — exact SH0ES matchExamines how the 2019 SI redefinition interacts with TriPhase derivations. Argues that ε₀ and μ₀ encode the geometric structure of free space — not arbitrary measurement conventions.
G = 7.5ε₀ — gravitational constant as a vacuum geometry propertyEssay submitted to the 2026 Gravity Research Foundation Awards for Essays on Gravitation. Presents the G = 7.5ε₀ derivation and its geometric interpretation. Results announced May 15, 2026.
Every derivation in the V16 Framework is independently verified by Python scripts. Download and run them yourself. No black boxes.
864 Python scripts — 42 constants × 18 mathematical frameworks + utilities. Each script derives one constant one way from ε₀ and μ₀. Error percentages included for every result.
Supporting derivation scripts and validation tools used across all TriPhase papers. Includes the 30 validated Row scripts from the master derivation matrix.
A cross-section of results. Full derivations with all steps are in the V16 Framework textbook.
Submit a question about TriPhase — derivations, results, methodology, or implications. Selected questions are answered weekly and archived publicly.
Submit a Question →Browse past questions and answers. Downloadable as a PDF — a growing reference document for anyone working with the TriPhase framework.
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