Turning Inside Out Without Closing: The Eversion Spiral, Time as Scale, the Domino Cascade, the Field Equation and the Golden Ladder (INDYNA Research Note 40)
Year: 2026
Type: preprint
Abstract: This note collects the exact results and the tests of register entries L464–L529, which prepared the gravitational candidate of Note 39 and the four-dimensional dynamics of Note 41. (1) In the model the Einstein coupling is a pure number, G_model = φ²/8π; the physical problem is the bridge of 10⁻⁶³ between a laboratory anchor and the Planck scale. (2) Dual eversion D, point reflection P and Galois conjugation σ generate a four-group; the rational polytopes close after two eversions, the golden ones only after four, passing through the star polytopes of density 7 — the shape returns, the scale does not: a spiral. Particle–antiparticle mass equality fixes that σ changes shape, not scale. (3) Time is the scale: the edge-to-core ratio of the universe is the Hubble time in Planck ticks, and instantaneous overlay predicts Ġ/G = 0, consistent with lunar laser ranging, while every delay known to the register is excluded. (4) A single law—no vertex closer than an edge—drives eight rigid triangles from the cuboctahedron to the icosahedron (rotation exactly 22.2388°, parameter 1/φ²), breaks into the octahedron, and repeats in 4D (24-cell → 600-cell) and 8D (E₈). (5) The field equation 4π − Σθ = 0 of the vertex action on the 62-node flag double reproduces the home and the matter ratios without input; the form sector is 157 times stiffer than the drift. (6) On the golden ladder M(g) = A₁ + gA₂ the ratio of form to drift is a quotient of Fibonacci and Lucas numbers; spin 1 and spin 2 are degenerate on the first rung. We also state a distinguishing neutron prediction for icosahedral quasicrystal approximants and list all tests of this range that failed.
Author: Gishto, Arbër
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214524642