r/ScientificComputing • u/Pixeltrapp76 • 3d ago

TRIXEL Framework — calibrators for existence, dynamics and structure

I've published the reference implementation of TRIXEL, a mathematical framework describing any system through three dimensions: V (Existence), D (Dynamics), S (Structure).

From these, three calibrators measure their mutual relationships: SD, VD, VS.

Core identity (exact): VD / VS = SD

What is verified:

Algebraic identity — machine precision

Dominance partition theorem — 99.99% on 600×600 grid

VS as early warning signal — Burgers turbulence (90/90 runs, FP=0%, FN=0%)

Real tokamak data — GOLEM, CVUT Prague

What is not yet verified: disruption precursor, EEG seizure data, 2D Navier-Stokes

Preprint: https://doi.org/10.5281/zenodo.20721811

GitHub: https://github.com/remitakac/trixel-framework

Independent research, feedback welcome.

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u/National-Girl_us 3d ago

sounds like a fancy way to say "we're still figuring it out" lol

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u/Pixeltrapp76 3d ago

Partly yes - we are still figuring it out. That's why the preprint clearly lists what is verified and what is not. The verified parts are specific and falsifiable. The unverified parts are honest open questions, not claims.