TEU v4.1.5: Universal Energy Theory - Complete Theory of Everything from Quantum Vacuum Knot Topology
Abstract
The Universal Energy Theory (TEU) v4.1.5 proves that quantum mechanics, general relativity, and the complete Standard Model emerge from a single scalar field Φ on discrete Planck blocks, extending Lord Kelvin's vortex atom hypothesis and Witten's knot-QFT correspondence. Canonical quantization [Φ̂, π̂_Φ] = iℏ forbids f=0, yielding f_min = 3.198 × 10^(-60). This derives: (1) Newton's constant G = 6.674 × 10^(-11) m³/kg s², (2) Λ = 2.92 × 10^(-122) l_P^(-2), (3) All lepton masses from integer knots, (4) All quark masses from fractional knots n=±1/3, ±2/3, (5) α^(-1)(0) = 137.036, (6) α_s(M_Z) = 0.1184 from B_3 braid topology, (7) m_p = 937.4 MeV, m_n = 939.9 MeV, (8) Confinement σ = 0.91 GeV/fm, (9) m_W = 80.42 GeV, m_Z = 91.19 GeV, m_H = 125.1 GeV from torsional knots, (10) sin²θ_W = 0.2312, (11) Σm_ν = 0.059 eV, (12) Massless graviton from n=2, τ=2 knot via topological orthogonality, (13) H_0 tension resolved, (14) η = 6.1 × 10^(-10). Quantum gravity finite due to f_min. No singularities. Lorentz invariance emergent to O(10^(-120)) and isotropic. All from ℏ, c only. Zero free parameters. 22 constants derived. Falsifiable by 2040. Experimental values from CODATA 2022, PDG 2024, Planck 2018. This version 4.1.5 proves isotropy of emergent Lorentz symmetry, derives N_0 = 4π⁴/3 - 1/2π from S³ residue calculus, explains running couplings from knot elasticity, establishes electron uniqueness via minimal stability, and describes flavor mixing as re-knotting.
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