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March 25, 20260 citationsOpen Access

BCT Appendix AF1: Three-Body Topological Locking — Full Derivation of BCT Hopf Stability Criterion and Machu Picchu SAR Parameters

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MCMichel Robert Cabrié

Key Points

  • The aim is to derive the BCT topological lifetime formula and establish SAR parameters for Machu Picchu.
  • Full derivation of the BCT topological lifetime formula τ_n.
  • Tabulation of stability across multiple H values.
  • Analysis of Sentinel-1 scenes for Machu Picchu with specific parameters.
  • The topological lifetime formula was successfully derived.
  • Stability was established for H values of 1, 2, 3, and 10.
  • SAR parameters for Machu Picchu include ~600 scenes and 10m resolution.

Abstract

Full derivation supporting BCT Letter 104. Derives the BCT topological lifetime formula τₙ = tU × exp (4π²/α₀n) = tU × exp (5329/n). Tabulates stability for H=1, 2, 3, 10. Establishes BCT SAR parameters for Machu Picchu Sacred Valley: ~600 Sentinel-1 scenes, 10m resolution, 300km² coverage, void detection to 80m depth. Companion appendix to Letter 104, Predictions #147 and #148.

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Cite This Study

Michel Robert Cabrié (2026) studied this question.

synapsesocial.com/papers/69c37bc2b34aaaeb1a67e70chttps://doi.org/10.5281/zenodo.19172289
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