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April 5, 2026Open Access

5 Domains and 1 eigenvalue @ Lamda 2 (T² − T − 2)(T² + T − 1) = 0

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Authors

DCDavid Coates

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Overview

This analysis demonstrates the eigenvalues' relevance across five domains, indicating a unifying physical principle.

Key Points

  • The research aims to establish the significance of eigenvalues derived from Hamiltonian mechanics and their applications across various physical domains.
  • Derived the Jacobsthal characteristic polynomial from Hamiltonian mechanics.
  • Utilized the symplectic trace map and the Cayley-Hamilton theorem to identify eigenvalues.
  • Conducted a Monte Carlo null test with 491 candidate values to validate predictions against NASA data.
  • Identified eigenvalues λ = 2 and λ− = -1 as fundamental constants in five domains.
  • Confirmed that dimensionless ratios correspond to known astrophysical measurements within tight margins.
  • Predicted a hard bound of n∗ = 7 for compact resonant chain length.

Cite This Study

David Coates (2026) studied this question.

synapsesocial.com/papers/69d1fca7a79560c99a0a2568https://doi.org/10.5281/zenodo.19393372
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Also Consider

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

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