Published June 6, 2026 | Version 1.0

Predictions and Solutions for Microtubule Curvature Modulation: Anesthesia, Neuroprotection, and Tauopathies via Contact-Geometric Operator Analysis (TOGT/GTCT — Domain 3 of 3)

Authors/Creators

Description

Applies the TOGT/GTCT contact-geometric framework to model microtubule dynamic instability as an operator sequence G = U∘F∘K∘C on a dm³ contact manifold. Derives three falsifiable classical predictions: (P1) anesthetic binding produces a measurable downward shift Δκ_MT linear in MAC; (P2) epothilone B LORR delay is proportional to κ elevation with proportionality constant derivable from the dm³ Lipschitz bound; (P3) the dose-response functional form is identical (up to morphism scaling) to the riboswitch OFF-lock curve (Domain 1). All predictions are classically falsifiable without quantum measurement. Extends to tauopathies and TBI. Part of the Principia Orthogona series. XII Bienal da SBM, Natal, 2026.

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Additional details

Related works

Is part of
Preprint: 10.5281/zenodo.19117399 (DOI)
References
Preprint: 10.5281/zenodo.20559510 (DOI)

Software

Repository URL
https://totogt.github.io/AXLE/
Programming language
Python
Development Status
Active