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

INTRODUCTION

1.  The Foundational Crisis
   Modern fundamental physics rests on two pillars that are mathematically incompatible: general relativity (GR) describes gravity as the geometry of a smooth
   continuous pseudo-Riemannian manifold, while quantum field theory (QFT) describes matter and gauge interactions as operator-valued distributions on a fixed
   Minkowski background. Their union — the CDM concordance cosmology — requires the insertion by hand of two dominant but undetected components (cold
   dark matter and a cosmological constant) that together constitute of the energy density, while leaving unanswered the origin of exactly three fermion
   generations, the hierarchy of masses and mixings, the value of the fine-structure constant, the proton-electron mass ratio, and the black-hole information paradox.
   The present work proposes a radical ontological shift: spacetime, matter, gauge fields, and even consciousness are emergent phenomena arising from a single
   geometric structure — the scale-space soliton.

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