The Latent Theory of Fusion Plasma Confinement
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
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).