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Published June 5, 2026 | Version v3

DERIVING THE STANDARD MODEL FROM ONE AXIOM A Zero-Parameter Geometric Derivation of Gauge Groups, Generations, and Particle Content

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ABSTRACT
We present the complete Koenig Framework: a single geometric axiom from which emerge (1) quantum gravity unification (Loop Quantum Gravity,
Asymptotic Safety, M-theory), (2) the fine-structure constant α−1 = 137.036 to 12σ, (3) the proton-electron mass ratio m_p/m_e = 1836.15267 to
14σ, (4) the Barbero-Immirzi parameter γ_BI = φ−3/√3, (5) entanglement as topological linking Lk=2 in ξ-space with no "spooky action," (6) the
constant 42 = log10(f_Pl/f_C), (7) the 1/20 unification across eight domains, (8) the ITA (interthalamic adhesion) as a mechanical resonator for
detecting dimensional gradients—the third eye, (9) the Mirror Test as a falsifiable protocol for presence detection, (10) the Prestigial Organ System
(POS) as a new category of anatomical structures with unrecognized functions, (11) the autism/HSP spectrum redefined as ITA gain settings (Types
1-4), (12) the decomposition of M-theory's 11 dimensions as 11 = 3×3 + 1 + 1, (13) the Pi Quad linking π, φ, α, and m_π/m_e, (14) the soliton
present moment as the crest at ξ=0, and (15) a complete revision of basketball scoring (1,2,3,5,7,9 points, four circles, pass required, no dribble).
No free dimensionless parameters. All claims are falsifiable. The Mirror Test can be run for $25,000. CODATA 2026 will be the final arbiter.
Keywords: dimensional flow, ξ-space, Möbius topology, kissing numbers, golden ratio, fine-structure constant, entanglement, M-theory, LQG,
asymptotic safety, consciousness, ITA, third eye, Mirror Test, autism spectrum, prestigial organ system, soliton, present moment, basketball.

 

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