What question did this study set out to answer?

This research aims to provide a mechanical interpretation of the Casimir effect using a Hexagonal Close-Packed matrix.

June 5, 2026Open Access

Dynamic Phase Resonances in Hexagonal Close-Packed Media: Sub-Nodal Pressure Gradients and the Mechanical Casimir Boundary (Part VII)

Key Points

This research aims to provide a mechanical interpretation of the Casimir effect using a Hexagonal Close-Packed matrix.
Utilized the UMM v9.5 framework to model parallel boundaries as geometric filters.
Calculated finite-difference Quantum of Conjunction (δρe) divergence.
Derived attractive force from classic contact mechanics.
Identified a localized drop in internal lattice pressure due to specific integer cell arrangements.
Demonstrated the generation of inverse-fourth-power attractive force using rigid geometry.
Established hardware-level grid stability in the context of the mechanical Casimir effect.

Abstract

This paper establishes a deterministic mechanical resolution to the Casimir effect, replacing quantum-electrodynamical zero-point fluctuations with the rigid geometry of the Hexagonal Close-Packed (3HCP) matrix. Within the UMM v9.5 framework, parallel boundaries are modeled as geometric filters that restrict sub-nodal harmonic updates of the 144-resonance grid. The exclusion of specific integer cell arrangements creates a localized drop in internal lattice pressure. By calculating the finite-difference Quantum of Conjunction (δρe) divergence, the author derives the classic inverse-fourth-power attractive force from pure contact mechanics and hardware-level grid stability. Creative Commons Attribution Non Commercial No Derivatives 4.0 International

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Cite This Study

Efim Sergeevich Markov (Wed,) studied this question.

synapsesocial.com/papers/6a2268d7763171746d54765e https://doi.org/https://doi.org/10.5281/zenodo.20533566

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