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April 5, 2026Open Access

Seven Domains, One Eigenvalue & Two Stubborn Lambdas

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Authors

DCDavid Coates

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Overview

This analysis uncovers distinct eigenvalue patterns, linking mathematical structures to physical realms, suggesting broader implications.

Key Points

  • The study aims to identify and validate a common eigenvalue across several physical domains, linking mathematical models to empirical observations.
  • Utilizing the Jacobsthal characteristic polynomial for eigenvalue derivation.
  • Employing Monte Carlo simulations to validate predictions against empirical measurements.
  • Applying fixed-step recurrence equations (FSRE) and cumulative adjacent normalized log error (CANLE) for analysis.
  • The eigenvalue λ = 2 consistently emerges across seven distinct domains.
  • Empirical validations include a significant offset-specific test with p = 0.0015 and a Monte Carlo null test yielding p < 3.1 × 10−4.
  • Predictions include a hard bound of n∗ = 7 for compact resonant chain length.

Cite This Study

David Coates (2026) studied this question.

synapsesocial.com/papers/69d1fe18a79560c99a0a4a1fhttps://doi.org/10.5281/zenodo.19394617
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Seven Domains, One Eigenvalue & Two Stubborn Lambdas and a strange observation2026
  2. 2Seven Domains, One Eigenvalue and Two Stubborn Lambdas2026
  3. 3Six Domains, One Eigenvalue and Two Stubborn Lambdas2026
  4. 4Five Domains, One Eigenvalue and Two Stubborn Lambdas2026
  5. 5Five Domains, One Eigenvalue: Dimensionless Evidence for λ = 2 in Planetary Resonance Structure2026