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September 14, 2026Open Access

The spectrum of a compact internal space I: Gauge structure and fermion content

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Authors

JGJinku Guo

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Overview

Theoretical analysis demonstrates gauge symmetries and a positive scalar mass gap in emergent spacetime geometry, indicating an algebraic origin for matter representations.

Key Points

  • To determine how internal geometry, gauge symmetries, matter representations, and a positive mass gap can emerge from minimal unbiased change.
  • Constructed a real orthogonal carrier of change using independent composition, quadratic scaling, and a Gaussian semigroup.
  • Derived a three-dimensional projective response space, gauge symmetries, and a sixteen-dimensional matter representation coupled through a Higgs-type doublet.
  • Evaluated spectral feedback convergence, stability, and bounds of a negative-logarithmic potential to determine the scalar mass spectrum.
  • Generated color, weak-isospin, and phase symmetries along with a sixteen-dimensional matter representation containing a fifteen-dimensional charged quotient.
  • Proved convergence, stability, and uniqueness of the positive amplitude square in the condensed regime.
  • Established a sharp positive mass gap across the entire scalar tower, corresponding to a color-singlet Yang–Mills glueball interpretation.

Cite This Study

Jinku Guo (2026) studied this question.

synapsesocial.com/papers/6aa7b2e10926e14a848b1617https://doi.org/10.5281/zenodo.22705006
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