The Viscosity of the Observer: A Candidate for Newton's Constant from the INDYNA Cascade and a Falsifiable Linewidth Prediction (INDYNA Research Note 39)

Abstract

Within the INDYNA framework—Regge geometry on the regular polytopes of three and four dimensions, with the tesseract as observer—the gravitational scale follows from a cascade over all visible dual pairs of polytopes in 3D and 4D, starting from a spectral anchor of 0.50 meV. Without further input this cascade gives G = 7.87×10⁻¹¹ m³ kg⁻¹ s⁻², 17.9% above the measured value. This note identifies the missing factor with the viscosity of the observer: the four-dimensional breathing mode of the tesseract, obtained from the unchanged Regge slab dynamics, has a complex frequency ω_T = 1.32877 ± 0.11230 i, i.e. a ratio ζ_T = Im ω_T/Re ω_T = 0.0845105. The 24-cell carries 0.0785, the golden 600-cell exactly zero. Inserting 1+ζ_T into the cascade energy givesG_cand = 6.6901×10⁻¹¹ m³ kg⁻¹ s⁻²,0.24% above the CODATA value 6.67430(15)×10⁻¹¹. The viscosity value was computed before, and independently of, the gravitational question; its use was proposed after the size of the gap was known. We document this history completely, report three internal checks that were carried out without reference to G, and state an experimental prediction that follows from the same number: a non-E₈ excitation at 1.2876 m₁ with relative half width 8.45% (quality factor ≈ 5.9). Test windows are fixed in this note before any data on the linewidth are known. Prediction Ledger entry 33 (recorded 2026-09-26 21:03:38 UTC) with fixed test windows is included in the supplementary files. Supplementary register excerpts (L474–L567) and the Prediction Ledger are in German; all numbers, tests and test windows are stated in English in the note itself.