Two Ways for Energy to Move: Alfvén's Wave and Ising's Neighbour Exchange, Priced Jointly

Energy moves through the corpus's worlds by two mechanisms its papers price separately, and never together. CC-130 priced Alfvén's wave: a disturbance that travels along the field lines of a magnetised plasma at v_A = B/sqrt(μ₀ρ), returning 690298.345402 m/s on its declared corona bench, the mechanism by which magnetised plasmas transport energy across system scales. CC-129 priced the Ising model's neighbour coupling: energy stored in aligned and misaligned neighbouring pairs, −J per aligned bond, whose statistical mechanics returns, in one dimension, a correlation length that prices how far order — and with it any disturbance of order — reaches: 27.296022 lattice spacings at t = 0.5, falling to 0.710818 at t = 4. This paper puts the two mechanisms on one declared bench and prices them in the two currencies transport is actually bought in: speed, and energy flux. The wave's side is computed from CC-130's declared corona inputs with one further declared input, a wave amplitude δB/B = 0.1, labelled declared wherever spent: the wave energy density returns 3.978874e-03 J/m³ and the flux, energy density times v_A, returns 2.746610e+03 W/m². The neighbour side is computed from CC-129's dimensionless returns materialised on two declared inputs — a lattice spacing a = 3.000000e-10 m and a coupling scale J/k_B = 100 K, both declared, neither measured, neither from 1920 or 1925: the exchange time ħ/J returns 7.638233e-14 s, the neighbour-exchange speed a·J/ħ returns 3927.610176 m/s, the bond energy density scale J/a³ returns 5.113515e+07 J/m³, and the flux scale returns 2.008389e+11 W/m². The joint prices are then exact statements about the declared bench, and they cut in opposite directions: the wave is faster by a factor of 175.755310, and the neighbour mechanism's flux scale is larger by a factor of 1/1.367568e-08 — some seventy-three million — the wave's deficit in density overwhelming its advantage in speed, because the plasma bench's energy density is ten orders below the solid's bond scale. At the declared coupling the two-dimensional model's exact critical temperature materialises at 226.918531 K, printed as a declared materialisation only. Grade for this joint entry, printed at full size: REASON FOUND / STILL TURNING — PREMISE-ONLY, explicitly not a kill and not a falsification of either parent paper. The program headline stands unmoved: vacuum catastrophe NOT SOLVED / PARTIAL, producing-count 0.