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March 10, 2026Open Access

Emergent Gauge Fields from the Universal Ψ Lagrangian - Functional Origin of SU(3)×SU(2)×U(1) Without Fundamental Gauge Symmetries

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Authors

LELivolsi Edoardo

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Overview

Functional analysis reveals the gauge structure of the Standard Model emerges dynamically from the Universal Ψ Lagrangian, suggesting new insights into particle physics.

Key Points

  • The aim is to demonstrate how the gauge structure of the Standard Model arises from the Universal Ψ Lagrangian without assuming fundamental symmetries.
  • Utilized a variational identity to analyze the Universal Ψ Lagrangian.
  • Expanded the functional around a stationary configuration.
  • Classified the complete spectrum of excitations including scalar, fermionic, and vector modes.
  • Showed that vector modes exhibit a Lie algebra structure.
  • Derived the Yang–Mills kinetic term from a second-order expansion of the action.
  • The emergence of gauge fields as vector excitations from the variational geometry of the Ψ functional.
  • The algebra closes uniquely into three irreducible sectors corresponding to U(1), SU(2), and SU(3).
  • Propagating vector fields are generated without free parameters.
  • Gauge fields are identified as emergent rather than fundamental degrees of freedom.

Cite This Study

Livolsi Edoardo (2026) studied this question.

synapsesocial.com/papers/69af959570916d39fea4d408https://doi.org/10.5281/zenodo.18913564
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Also Consider

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  1. 1Entangled Origins of SU(3) x SU(2) x U(1): Emergence of Gauge Symmetries in the Standard Model2024
  2. 2Paper X: Standard Model Gauge Symmetries and the Master Lagrangian as Geometric Necessities of an Isoclonically Rotating S3 Hypersurface2026
  3. 3UN Theory Derivation of 3+1D Grassmannian Spinors and su(3) ⊕ su(2) ⊕ u(1) Lie Algebras from Correlation Operator Algebras2026
  4. 4Mechanical Realizations of Standard Model Gauge Structures from a Micromorphic Vacuum: Palatini Filtering and Isochoric Constraint2026
  5. 5Mechanical Realizations of Standard Model Gauge Structures from a Micromorphic Vacuum: Palatini Filtering and Isochoric Constraint2026