The quiet-Sun temperature ratio R≈2.4 equals the KL-divergence difference between a κ=2.5 distribution and its EUV and radio Maxwellian projections, satisfying ΔD_KL = (3/2)[R0 − ln R0 − 1] = (3/2) d_IS(T_eff, T_core).
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Curvature acceleration in strong Alfvénic turbulence saturates due to diminishing energy exchange efficiency, producing particle distributions f(p) ∝ p^{-3} (non-relativistic) and f(γ) ∝ γ^{-3} (ultrarelativistic).
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Diagnostic Disagreement as an Information-Projection Divergence: An Information-Theoretic Reading of the Quiet-Sun Temperature Ratio
The quiet-Sun temperature ratio R≈2.4 equals the KL-divergence difference between a κ=2.5 distribution and its EUV and radio Maxwellian projections, satisfying ΔD_KL = (3/2)[R0 − ln R0 − 1] = (3/2) d_IS(T_eff, T_core).
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Distributions of particles accelerated by strong Alfv\'enic turbulence
Curvature acceleration in strong Alfvénic turbulence saturates due to diminishing energy exchange efficiency, producing particle distributions f(p) ∝ p^{-3} (non-relativistic) and f(γ) ∝ γ^{-3} (ultrarelativistic).