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This work aims to establish a formal mathematical framework for the Metric Tension Adjustment Model (MATM) and validate it algorithmically.

January 20, 2026Open Access

The Geometry of Silence: Metric Tension Adjustment Model (MATM) - Part III: Unified Framework & Observational Proofs

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Part III offers a unified framework resolving the Hubble Tension in cosmic evolution, implying new observational insights.

This work aims to establish a formal mathematical framework for the Metric Tension Adjustment Model (MATM) and validate it algorithmically.
Introduced the Master Equation (Ψσ) for balancing vacuum energy density.
Employed computer simulations to model cosmic evolution from the Big Bang.
Defined cosmic position using evolving internal constants (G, σ).
Outlined falsifiability protocols linked to BINGO radiotelescope and Lunar Laser Ranging.
Resolved the 'Impossible Early Galaxy' paradox with a quadratic field law.
Demonstrated primordial metric tension leading to an inertial excess factor of 1803x.
Proposed a mechanical alternative to ΛCDM, addressing the Hubble Tension.

João Batista de Castro (2026) studied this question.

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