Arber Gishto

The golden crossing ladder of the Coxeter H family: a conjugate-shell theorem, the associate criterion, and metallic means in the 120-cell INDYNA-STATIK Research Note 14

Research Note 14 of the INDYNA program: the golden ladder. This note assembles the complete ladder of golden-ratio level crossings of the conjugate-shell family and its quantum-spin extension. The record includes the full LaTeX source and a self-contained Python script (reproduce...

Conjugation is Inversion Weighted by the Norm: A Unifying Identity for the Three-Field Model (Research Note 12)

Research Note 12 of the INDYNA program. This note studies the interplay of the Galois involution σ, the field norm, and coupling inversion g → 1/g in the conjugate-shell family: the three operations generate the symmetry group of the phase diagram, and their invariants classify t...

The Galois Norm as a Discrete Minkowski Metric: Golden Units as Boosts (Research Note 11)

Research Note 11 of the INDYNA program. This note connects the Galois structure of conjugate-shell operators with Minkowski-type lattice embeddings: the two Galois embeddings of ℚ(√5) place each shell datum and its conjugate side by side, and the geometry of this embedding organi...

c = 1: The Limiting Speed as the Self-Dual Fixed Point, with an Injection–Mirror Laboratory Protocol (Research Note 10)

Research Note 10 of the INDYNA program. This note analyzes the self-dual point of the conjugate-shell operator family: the duality W H(g) W† = g·H(1/g) pairs every coupling g with its inverse, and the self-dual coupling plays a distinguished role in the level-crossing structure....