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The Latent Theory of Fusion Plasma Confinement

Tamás Nagy, Ph.D. Updated 2026-03-22 Working Paper Physics
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Abstract

Methodological contribution. Alongside the physics result below, this paper establishes a reproducible standard for kernel-verified derived physics that we argue is portable across domains in which classical analytic derivations have hardened into opaque community consensus. The standard has four requirements. R1 Kernel formalisation — each algebraic identity is expressed as a machine-checked theorem in an open-source proof kernel, here the Platonic kernel with auto-export to Lean 4 (47 closed theorems in aero_spectral_fusion, 58 closed declarations in the companion kinetic_closure_proof.py, 0 errors, 0 vacuity warnings at the time of submission). R2 Per-primitive published attribution — every kernel-external primitive is annotated with the published reference from which the primitive enters the proof, so the trust boundary is a finite, citable list rather than the interior of a textbook. The present work reduces this list to a single well-scoped classical composite (the KAM-destruction + Oseledec composite for Chirikov-threshold positive-Lyapunov behaviour, algebraically backed by a pendulum-threshold inequality). R3 Auditable trust boundary — the paper reports an explicit table of residual imports, their attribution, and their conceptual nature (pure geometry / leading-order convention / classical-mathematics composite). R4 Pre-registered SHA-256-committed predictions with Bitcoin-anchored external timestamp — numerical predictions are generated once, before the real data arrives, from a deterministic script whose output JSON carries a content hash. The committed hash is externally timestamped into the Bitcoin blockchain via OpenTimestamps (.ots receipts submitted to four independent calendar operators, see validation/PRE_REGISTRATION.txt), so the pre-registration anchor survives force-push, rebase, and any git-history rewrite — falsification is decided against an artifact that cannot be backdated. A single-command six-layer self-check (validation/verify_shas.sh, run inside the pinned validation/Dockerfile harness) verifies byte-for-byte reproducibility end-to-end. We execute R1–R4 on the Rechester–Rosenbluth stochastic-field-line transport law for magnetically-confined plasmas (summarised below) and provide an Appendix B methodology-transfer stub that lists candidate porting targets (binary-pulsar orbital decay, gravitational-wave inspiral chirp mass, Shapiro delay in PPN formalism, magnetospheric substorm onset, tokamak disruption runaway current).

Physics contribution. We develop a Latent theory of fusion plasma confinement by establishing a precise correspondence between the magnetohydrodynamic (MHD) stability problem and the spectral framework previously developed for financial risk measurement, fluid regularity, and dynamical systems.

The

Length
26,429 words
Claims
15 theorems
Status
Working Paper
Target
Nuclear Fusion / Physical Review Letters / Physics of Plasmas

Novelty

Mapping the grade-2/grade-3 Latent decomposition from Navier-Stokes regularity theory onto the MHD stability problem, giving a unified algebraic explanation for why axisymmetric confinement works (grade-3 vanishes) and why 3D instabilities degrade it (grade-3 activation controlled by the triangle deficit).

Connects To

Spectral Disruption Prediction: Real-Time Plasma Stability v... The Universal Spectral Representation Theorem: Breaking the ... Harvestability Grade Decomposition and Gevrey Regularity for Navier-Stokes:... The Spectral Generator of the N-Body Latent: Connecting Padé... Spectral Vorticity Bridge for Turbulent Flows Vorticity as a Universal Controller: A Structural Bridge Bet... Universal Foundations: A Verified Library of Core Mathematic...

Referenced By

The Latent Number in Biology Protein Folding as a Spectral First-Passage Problem The Grade Structure of MHD Conserved Quantities: Effective G... The Latent Number ρ: A Universal Diagnostic for Computationa...

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