Finite-Distinction Operation Closure and the Four Fundamental Interactions: Encapsulation, Connection, Identity Update, and Causal-Screen Ledger Geometry

Yining Wu · 2026-05-26

Finite-distinction operation closure for the four known fundamental interactions. Any physical world with finite distinctions that are persistent, communicable, transformable, and globally embedded requires four non-equivalent operation classes: token encapsulation (strong interaction), connection/remote detectability (electromagnetism), identity-sector update (weak interaction), and global causal-screen ledger geometry (gravity). G1-strengthened gravity row: causal-screen entropy-response geometry, Ward/Bianchi closure, Weyl-normalized residuals. Proposition 1 replaces earlier Theorem 1. Includes TikZ visual normal-form layer (operation map, coverage matrix, remove-one losses, fifth-force audit tree, relation map) and appendix-style note on physical AI design implications.

@misc{wu2026fdsx3,
  author = {Yining Wu},
  title = {Finite-Distinction Operation Closure and the Four Fundamental Interactions: Encapsulation, Connection, Identity Update, and Causal-Screen Ledger Geometry},
  year = {2026},
  doi = {10.5281/zenodo.20388356},
}