What question did this study set out to answer?

This research aims to validate the long-term convergence behavior of the linearised spintessence system within set kinetic parameters.

synapse

⌘+K

synapse

⌘+K

June 13, 2026Open Access

GCFT CDN-171: Long-T Convergence — v* ∝ 1/σ Confirmed, D6 Paid

Key Points

This research aims to validate the long-term convergence behavior of the linearised spintessence system within set kinetic parameters.
CDN-171 closes the D6 canonical kinetics window for the spintessence system.
Chunked RK4 integration performed using numpy state checkpointing with σ values of 32 and 64.
A four-point fit analyzed the long T behavior to derive convergence parameters.
At σ=32, velocity v* was found to be 0.887×1/(2σ) and at σ=64, it was 0.850×1/(2σ).
The combined four-point fit yielded v*=0.498σ⁻¹·⁰²⁹ with an exponent of −1.029±0.03.
The transient exponent n=−0.55 confirmed as an artefact for T/σ²<4.

Abstract

CDN-171 closes D6 (canonical kinetics window) for the linearised spintessence system (CDN-166, Δ=0). Chunked RK4 integration with numpy state checkpointing runs σ∈32, 64 to T/σ²∈17. 6, 11. 7 (≈1 gapless oscillation period τ=4πσ²). At long T, v*=0. 887×1/ (2σ) at σ=32 and v*=0. 850×1/ (2σ) at σ=64; combined four-point fit gives v*=0. 498σ⁻¹·⁰²⁹ (exponent −1. 029±0. 03, canonical −1. 000). The CDN-170 transient exponent n=−0. 55 is confirmed as an artefact of T/σ²<4. D6 is paid: canonical kinetics requires Δ≤1/ (σω) ².

Read Full Paperexternally

Mark Helpful

Bookmark

Relay

View Full Paper