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April 7, 2026Open Access

Spectral Disjointness and Cumulative Boundedness in the Prime Gravity Manifold

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Authors

TGTimothy Gleason

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Overview

Empirical analysis reveals the boundedness of potential functions in Prime Gravity sequences, indicating implications for the Riemann Hypothesis.

Key Points

  • The research aims to connect spectral properties of Prime Gravity fluctuations to their cumulative potential behaviors.
  • Develops a theoretical framework linking spectral properties to cumulative potential.
  • Employs FFT peak amplitude measurements across a range of scales from 5,000 to 10,000,000.
  • Conducts a companion Power Spectral Density experiment to analyze frequency behaviors.
  • Utilizes a novel Holographic Geodesic Transformer for computational experiments on major arc spectral energy.
  • FFT peak amplitudes increased as N^0.1326 and N^0.1555 near critical points, indicating sub-random-walk behavior.
  • Cumulative potential W(N) scales at approximately α ≈ 0.49, suggesting coherence with Central Limit Theorem predictions.
  • Power Spectral Density analysis shows a constant white-noise plateau without low-frequency accumulation.

Cite This Study

Timothy Gleason (2026) studied this question.

synapsesocial.com/papers/69d4a00eb33cc4c35a2286eahttps://doi.org/10.5281/zenodo.19431433
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