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April 8, 2026Open Access

A Reality-Strict Analytical Framework for Macroscopic Fifth-Force Extraction: Non-Stationary Matérn Covariances, Covariant Thermodyamics, and Observable Subspaces

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Authors

DFDarren Dominic Fabri

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Overview

This publication demonstrates a new analytical framework for extracting macroscopic forces, indicating significant advancements in theoretical physics.

Key Points

  • The aim is to create a mathematical framework that connects physical mechanisms to statistical bounds in fifth-force extraction.
  • Utilized Non-Stationary Matérn covariance for spatial mapping.
  • Employed Mahalanobis distance for dynamic variance assessment during multi-shock events.
  • Implemented a covariant algebraic floor to manage heat depletion effects.
  • Updated anisotropic scaling metrics through discrete protocols to prevent nonlinearities.
  • Derived numerical scenarios to evaluate extraction confidence and signal-to-noise ratio.
  • Determined baseline variance of 0.9216 meV^2 with a target shift of 0.131 meV.
  • Achieved a signal-to-noise ratio of 2.48, leading to an extraction veto.
  • Successfully recentered the target shift to zero after planetary occlusion.

Cite This Study

Darren Dominic Fabri (2026) studied this question.

synapsesocial.com/papers/69d5f07d74eaea4b11a79f66https://doi.org/10.5281/zenodo.19436359
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