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April 29, 20260 citationsOpen Access

Yuanzhi Field Theory (II) The Algebraic Emergence of the Standard Model and Grand Unification

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QLQiong Lau

Key Points

  • This work aims to extend the axiomatic framework of Yuanzhi theory into the microscopic domain, revealing fundamental algebraic structures of particle physics.
  • Derived the SU(3)×SU(2)×U(1) gauge symmetry from the E6 root structure.
  • Reinterpreted Planck's constant in the context of octonionic space.
  • Showed that fractional charges and three generations of fermions are topological necessities.
  • The Cabibbo angle and Jarlskog invariant match experimental values without free parameters.
  • Gauge coupling unification is geometrically constrained by E6 triality symmetry.

Abstract

This work extends the axiomatic framework of Yuanzhi topological superfluids into the microscopic domain. We demonstrate that quantum mechanics emerges as a non-associative hydrodynamic behavior of the Yuanzhi fluid, governed by the exceptional Jordan algebra J3(O). Planck’s constant is reinterpreted as a measure of the octonionic non-associator space. In the particle sector, the SU(3)×SU(2)×U(1) gauge symmetry of the Standard Model is derived from the E6 root structure, eliminating the need for ad hoc gauge patches. The fractional charges of quarks (1/3 and 2/3) acquire a purely algebraic origin, and the existence of exactly three generations of fermions is shown to be a topological necessity. The Cabibbo angle and the Jarlskog invariant emerge without free parameters, matching experimental values. Finally, gauge coupling unification is geometrically constrained by the triality symmetry of E6. This framework provides a unified, parameter-free foundation for microscopic physics.

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Cite This Study

Qiong Lau (2026) studied this question.

synapsesocial.com/papers/69f1a033edf4b46824806e61https://doi.org/10.5281/zenodo.19826004
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