PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
March 29, 20260 citationsOpen Access

Universal Barrier Ratio π/√2 from Spectral Geometry of the Bernoulli Manifold

View Full Paper
AEAnthony W. Eckert

Key Points

  • The aim is to derive a universal barrier ratio using concepts from spectral geometry.
  • Derived the barrier ratio from spectral geometry principles.
  • Applied Čencov uniqueness, Fourier-Parseval, and Fisher-variance identity.
  • Validated across 17 systems in 8 independent physical domains.
  • Barrier ratio confirmed as d × π/√2 with R²=0.999.
  • No free parameters in the model.
  • Applicable to fields including magnetism, biology, and astrophysics.

Abstract

Derives the universal strong-coupling barrier ratio barrier = d × π/√2 as a theorem from spectral geometry of the Bernoulli manifold (Čencov uniqueness, Fourier-Parseval, Fisher-variance identity). Confirmed across N=17 systems in 8 independent physical domains (R²=0.999, zero free parameters). Domains: magnetism, CDW, electromagnetism, kagome metals, atmospheric physics, astrophysics, nuclear physics, biology.

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Anthony W. Eckert (2026) studied this question.

synapsesocial.com/papers/69c8c371de0f0f753b39e464https://doi.org/10.5281/zenodo.19256058
Ask AI
Helpful
Bookmark
Share
View Full Paper