What question did this study set out to answer?

This research aims to confirm the sigma-universality of the acoustic floor position in the context of the General Coherence Field Theory.

June 13, 2026Open Access

GCFT CDN-175: Sigma-Universality of the Acoustic Floor — Floor Position cₛ (Δ) Confirmed Universal, Convergence Rate Governed by Δ·σ², σ∈8, 16, 32

Key Points

This research aims to confirm the sigma-universality of the acoustic floor position in the context of the General Coherence Field Theory.
Conducted 35 simulation pairs at different sigma values (σ = 8, 16, 32) using the T=20σ/c_s protocol.
Tested various delta values (Δ) ranging from 0.040 to 0.100.
Evaluated the convergence law for the residual excess at finite temperature.
The floor position c_s(Δ) was confirmed as sigma-universal across all tested sigma values.
Observed residual excess ε was approximately 9-18% for σ=8 and −0.5% for σ=32.
All three sigma values collapsed into a single ε(ξ) curve, supporting the convergence law.

Abstract

CDN-175 (Coherence Domain Nucleation audit note 175) in the General Coherence Field Theory (GCFT) series, Project Aporion. Pre-registered in CDN-174. Tests σ-universality of the acoustic floor v* (Δ) → cₛ (Δ) = √ (Δ/ (Δ+4) ) established in CDN-173/174 at σ=16. Runs 35 simulation pairs at σ∈8, 32 using the T=20σ/cₛ protocol, Δ∈0. 040, 0. 060, 0. 080, 0. 100. Finding: the floor POSITION cₛ (Δ) is confirmed σ-universal. The residual excess ε = v*/cₛ − 1 at finite T is governed by the dimensionless ratio ξ = Δ/Δc (σ) = Δ·σ²: σ=8 (ξ~3–6) gives ε~9–18%; σ=32 (ξ~60–100) gives ε~−0. 5%, essentially at the floor. All three σ values collapse onto a single ε (ξ) curve. The two-parameter convergence law ε (ξ, T/τₗocal) is pre-registered for CDN-176. Lock code: CDN175SIGMADEPENDENTINVESTIGATEFLOORUNIVERSALCONVRATEDELTASIGMA2 Includes: simulation script (gcftcdn175ₛigmaᵤniversality. py), checkpoint JSON, results JSON, 3-panel figure, TeX note, Art Edition PDF.

GCFT CDN-175: Sigma-Universality of the Acoustic Floor — Floor Position cₛ (Δ) Confirmed Universal, Convergence Rate Governed by Δ·σ², σ∈8, 16, 32

Key Points

Abstract

Cite This Study