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April 24, 2026Open Access

A Conservative Analytical Framework for Macroscopic Fifth-Force Extraction: Trace Conservation, Positive-Definite Subspaces, and Epistemic Bounds

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DFDarren Dominic Fabri

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Overview

Analytical framework demonstrates rigorous extraction of fifth-force bounds in gravitational tests, suggesting improved isolation protocols.

Key Points

  • The framework aims to rigorously extract and constrain fifth-force signals in gravitational studies using a conservative analytical approach.
  • Developed a structured theoretical framework integrating continuous physics with operational subspaces.
  • Implemented protocols for temperature dynamics and statistical rigor to minimize false positives.
  • Utilized a pseudo-inverse matrix to ensure closure on rank-deficient subspaces prior to data normalization.
  • Established a core analytical constraint of 10% drift scenario bound with a limit of 0.131 meV.
  • Generated a lower-bound sensitivity floor of 2.48, ensuring stringent filtering against false positives.
  • Introduced dynamic thermal management parameters that scale with the hardware's heat tolerance.

Cite This Study

Darren Dominic Fabri (2026) studied this question.

synapsesocial.com/papers/69eb0ac4553a5433e34b4bf0https://doi.org/10.5281/zenodo.19690237
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  2. 2A Reality-Strict Analytical Framework for Macroscopic Fifth-Force Extraction: Sensitivity Derivatives, Trace Conservation, and Observable Subspaces2026
  3. 3A Reality-Strict Analytical Framework for Macroscopic Fifth-Force Extraction: Non-Stationary Matérn Covariances, Covariant Thermodyamics, and Observable Subspaces2026
  4. 4A Conservative Analytical Framework for Macroscopic Fifth-Force Extraction: Dynamic Thermal Bounds and TA6V Empirical Closure2026
  5. 5Analytical Frameworks for Extracting Theoretical Fifth Force Signatures via Dilatonic Photon Spheres and Chameleon Screening2026