Gravitational Manipulation Theory v2.5 — Range-Regime Scaling of Information Sufficiency

Gravitational Manipulation Theory (GMT) v2.5 — Range-Regime Scaling of Information Sufficiency GMT v2.5 extends the reconstruction-information sufficiency framework of GMT v2.4 from apparatus-design space to the joint apparatus × interaction-range domain. The interaction range is placed on the dimensionless cross-apparatus coordinate χ = λ / L𝒜, where λ is the Yukawa interaction range and L𝒜 is a frozen apparatus-specific scale. Eight synthetic representative apparatus classes (A–H) are evaluated across three pre-registered range regimes — short, intermediate, and long — forming a frozen 24-cell apparatus × range grid. A common information-ablation hierarchy (𝓘₄ → 𝓘₀), sampling protocol, numerical resolution, certification rule, and mechanical Outcome A/B/C decision rule are fixed before the range-resolved ablation is evaluated. Across the tested grid, the geometry range G₁(χ) spans 1.29–6.09 dex, demonstrating substantial apparatus- and range-dependent variation. Nevertheless, every cell retains the same reconstruction-information boundaries: L*operator = 𝓘₂𝓘min = 𝓘₄ with S = ∅, yielding the pre-registered Outcome A: full apparatus-and-range retention. The result therefore establishes a range-invariant reconstruction-information boundary on the tested, frozen apparatus × range grid, despite substantial variation in the underlying geometry response. The release includes the 13-page manuscript, seven publication figures, frozen configuration, apparatus definitions, normalized range machinery, the 24-cell Stage-2 ablation driver and machine-readable results, asymmetric certification and outcome-classification logic, validation evidence, prior-art audit documentation, figure-generation sources, and end-to-end reproduction instructions. A structured two-pass literature audit located no same-type precedent for the composite construction. Accordingly, any first-of-kind statement is explicitly scoped by “to our knowledge” and is search-negative rather than a proof of non-existence. Claim ceiling: This work does not establish a universal information-sufficiency law. The result is bounded to the tested pre-registered 8 × 3 grid. The eight apparatus are synthetic representative classes rather than real experimental hardware, Monte-Carlo estimates cannot certify a reduction below 𝓘₂, and no experimentally demonstrated gravitational manipulation is claimed.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-18
DOI
https://doi.org/10.5281/zenodo.21996191
Primary Topic
Space Satellite Systems and Control
Type
preprint
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preprint

Gravitational Manipulation Theory v2.5 — Range-Regime Scaling of Information Sufficiency

Koji Okino
Zenodo (CERN European Organization for Nuclear Research)
Space Satellite Systems and Control
preprint

Gravitational Manipulation Theory v2.5 — Range-Regime Scaling of Information Sufficiency

Koji Okino
preprint en

Abstract

Gravitational Manipulation Theory (GMT) v2.5 — Range-Regime Scaling of Information Sufficiency GMT v2.5 extends the reconstruction-information sufficiency framework of GMT v2.4 from apparatus-design space to the joint apparatus × interaction-range domain. The interaction range is placed on the dimensionless cross-apparatus coordinate χ = λ / L𝒜, where λ is the Yukawa interaction range and L𝒜 is a frozen apparatus-specific scale. Eight synthetic representative apparatus classes (A–H) are evaluated across three pre-registered range regimes — short, intermediate, and long — forming a frozen 24-cell apparatus × range grid. A common information-ablation hierarchy (𝓘₄ → 𝓘₀), sampling protocol, numerical resolution, certification rule, and mechanical Outcome A/B/C decision rule are fixed before the range-resolved ablation is evaluated. Across the tested grid, the geometry range G₁(χ) spans 1.29–6.09 dex, demonstrating substantial apparatus- and range-dependent variation. Nevertheless, every cell retains the same reconstruction-information boundaries: L*operator = 𝓘₂𝓘min = 𝓘₄ with S = ∅, yielding the pre-registered Outcome A: full apparatus-and-range retention. The result therefore establishes a range-invariant reconstruction-information boundary on the tested, frozen apparatus × range grid, despite substantial variation in the underlying geometry response. The release includes the 13-page manuscript, seven publication figures, frozen configuration, apparatus definitions, normalized range machinery, the 24-cell Stage-2 ablation driver and machine-readable results, asymmetric certification and outcome-classification logic, validation evidence, prior-art audit documentation, figure-generation sources, and end-to-end reproduction instructions. A structured two-pass literature audit located no same-type precedent for the composite construction. Accordingly, any first-of-kind statement is explicitly scoped by “to our knowledge” and is search-negative rather than a proof of non-existence. Claim ceiling: This work does not establish a universal information-sufficiency law. The result is bounded to the tested pre-registered 8 × 3 grid. The eight apparatus are synthetic representative classes rather than real experimental hardware, Monte-Carlo estimates cannot certify a reduction below 𝓘₂, and no experimentally demonstrated gravitational manipulation is claimed.

Zenodo (CERN European Organization for Nuclear Research)
United States Department of Labor (US)
Peace, Justice and strong institutions
Space Satellite Systems and Control
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