What question did this study set out to answer?

The aim is to derive the frozen switch crossing using a response-kernel equation.

June 14, 2026Open Access

CDN-199: The Crossing Has a Kernel

Key Points

The aim is to derive the frozen switch crossing using a response-kernel equation.
Derivation of the frozen switch crossing as a response-kernel equation.
Comparison of the closed transfer with CDN-196 implementation.
Analysis of the refined kernel crossing and its parameters.
Achieved a residual of 4.69e-13 when comparing to the CDN-196 implementation.
Refined kernel crossing parameters were delta* = 0.0854 and xi* = 21.859, within 0.000198345 of CDN-196.
Demonstrated stable phase-gradient decisions at delta values of 0.09 and 0.10.

Abstract

CDN-199 derives the frozen switch crossing as a response-kernel equation. The closed transfer is algebraically identical to the CDN-196 implementation with residual 4.69e-13. The refined kernel crossing is delta* = 0.085386858, xi* = 21.859036, within 0.000198345 of the CDN-196 preregistered crossing, with stable phase-gradient decisions at delta=0.09 and delta=0.10.

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Cite This Study

Nicky Joseph Hubertus Catharina Hacquier (Fri,) studied this question.

synapsesocial.com/papers/6a2e47f9b1cc60ccdea8c4a0 https://doi.org/https://doi.org/10.5281/zenodo.20663810

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