Resonant Celestial Holography

Changes in v4 (May 2026) Partition function weights corrected: Per-mode weights updated from the superseded phenomenological form w_n = φ^{−λn}/𝒩 to the modular-covariant Gaussian w_n = C·exp(−πn²/9), C ≈ 0.500, consistent with the unified parameter set in Paper 3 (doi:10.5281/zenodo.20248650). The golden-ratio simplicial weight φ^{−N(𝒯)} in the CDT path integral is unaffected — it is a distinct quantity. Figure 1B caption corrected: Δλ = 1.729 → 1.7287 (exact value 2π/(9κ_CE)) Figure 3B caption updated: Tower heights now stated in terms of Gaussian weights (w₀ ≈ 0.500, w₃ ≈ 0.022, w₆ ≈ 10⁻⁹); panel schematic was produced under the superseded weight and will be updated in a future revision §5.2 enhancement factor corrected: η_diff·φ^{−3} formula replaced by correct Gaussian ratio w₃/w₀ = e^{−π} ≈ 0.043 Piano mathematics section updated: 3-6-9 node hierarchy restated using Gaussian weight values; residual ~15% amplitude claim removed Modular covariance paragraph updated: Orphaned reference to old phenomenological weight removed; Gaussian weight covariance stated with S-invariance breaking quantified (|w₀ − 1/9| ≈ 0.39) CDT and BMS defined on first body use Strominger (2014) cited at first IR-triangle invocation M-Theory companion citation updated to v9e with full subtitle Paper 3 companion link updated to v3 DOI (10.5281/zenodo.20248650) Paper 1 cross-citation added: Einstein Equations from Prismatic Curvature (doi:10.5281/zenodo.20146627) Typography: microtype expansion=false; emergencystretch=2em