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August 2, 2026Open Access

Generalized Landau Paradigm: Symmetry Breaking via Categorical and Higher-Form Symmetries — E8 Intelligence Research

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Authors

ACAndrew Stewart Caldin

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Implication

Demonstrates symmetry breaking in topological phases using categorical and higher-form symmetries, suggesting novel implications for lattice structures.

Key Points

  • The research aims to extend the concept of symmetry breaking to topological phases through categorical and higher-form symmetries.
  • Utilized the Landau-Ginzburg free energy expansion to explore symmetry behaviors.
  • Analyzed order parameters under various crystallographic point groups.
  • Examined higher-form symmetries and their conserved currents.
  • Identified that crystallographic point groups correspond to finite subgroups of O(3).
  • Noted the appearance of ratios like 0.618 in quasicrystal diffraction patterns.
  • Connected root systems to lattice symmetries, enhancing understanding of symmetry in physical systems.

Cite This Study

Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a6eeb2c1b0468a7eeab4301https://doi.org/10.5281/zenodo.21714425
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  1. 1Generalized Landau Paradigm: Symmetry Breaking, Topological Order, and Higher-Form Symmetries — E8 Intelligence Research2026
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