Paper 23: Discrete Action Principles and Symmetry Constraints in the Holosphere Lattice

This paper builds a discrete action principle for Holosphere Theory. Instead of treating dynamics as smooth paths that minimize a continuous energy, it models evolution as step-by-step transitions on a rotating lattice of Holosphere nodes with Planck-scale microstructure. Candidate paths are scored by a discrete action, but they are physically realized only if each step passes local admissibility gates (bounded phase steps, link compatibility, and topology checks). Closed, integer-winding loops that satisfy these gates become stable orbital modes, giving a structural route to quantization without imposing a continuum wave equation. Multi-loop composites and multipartite correlations persist only when shared corridor links remain admissible and total coherence costs stay below dropout budgets. A key consistency point is that the transport exponent β = 3/2 is treated as a global scaling constraint on sustainable coherence flow, not as a pointwise cutoff. The framework supplies an operational basis for selection rules and symmetry breaking as consequences of direction-dependent admissibility under repeated evolution, and it prepares the ground for the Holosphere Lagrangian formalism developed in Paper 25.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-02-10
DOI
https://doi.org/10.5281/zenodo.15694646
Primary Topic
Nonlinear Photonic Systems
Type
article
Field-Weighted Citation Impact
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article

Paper 23: Discrete Action Principles and Symmetry Constraints in the Holosphere Lattice

Zenodo (CERN European Organization for Nuclear Research)
Nonlinear Photonic Systems
article

Paper 23: Discrete Action Principles and Symmetry Constraints in the Holosphere Lattice

article en

Abstract

This paper builds a discrete action principle for Holosphere Theory. Instead of treating dynamics as smooth paths that minimize a continuous energy, it models evolution as step-by-step transitions on a rotating lattice of Holosphere nodes with Planck-scale microstructure. Candidate paths are scored by a discrete action, but they are physically realized only if each step passes local admissibility gates (bounded phase steps, link compatibility, and topology checks). Closed, integer-winding loops that satisfy these gates become stable orbital modes, giving a structural route to quantization without imposing a continuum wave equation. Multi-loop composites and multipartite correlations persist only when shared corridor links remain admissible and total coherence costs stay below dropout budgets. A key consistency point is that the transport exponent β = 3/2 is treated as a global scaling constraint on sustainable coherence flow, not as a pointwise cutoff. The framework supplies an operational basis for selection rules and symmetry breaking as consequences of direction-dependent admissibility under repeated evolution, and it prepares the ground for the Holosphere Lagrangian formalism developed in Paper 25.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 98%
Nonlinear Photonic Systems
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Paper 23: Discrete Action Principles and Symmetry Constraints in the Holosphere Lattice · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS