What question did this study set out to answer?

April 26, 2026Open Access

Product-Volume Xi: A Strain Framework for Cadence-Dependent Alpha Residuals

Puntos clave

The aim is to develop a model for cadence-dependent alpha-sector residuals in measurement systems.
Introduced a product-volume strain coordinate (Xi) for modeling residuals.
Developed an electromagnetic interface projection (P_alpha = 1/H) for analysis.
Defined failure modes and parameter sensitivities to enhance model robustness.
The framework facilitates testing and critique of internal constraints in measurement systems.
Identified specific failure modes with potential implications on atomic clock performance.
Highlighted the ability to generate falsifiable predictions based on the model's parameters.

Resumen

This work presents an internally constrained effective model for cadence-dependent alpha-sector residuals. The framework introduces a product-volume strain coordinate (Xi), an electromagnetic interface projection (Pₐlpha = 1/H), and a duality-constrained interface hierarchy that selects H ≈ 150 through reciprocal failure-mode balance. The model is not presented as a final theory. It includes explicit failure modes, parameter sensitivities, and falsifiable predictions, particularly in atomic clock network residuals under realistic instrument response. The purpose of this release is to invite external critique and stress-testing of the internal constraint chain.

Preguntar a la IA

Me gusta

Guardar

Ver artículo completo