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A Universal Entropic Suppression Law Resolves the Hot-Jupiter Atmospheric Escape Anomaly

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  • Stanley, Dustyn

Abstract

Hot Jupiter exoplanets lose mass at rates that deviate significantly from the classical energy-limited escape prescription. We show that a universal Lorentzian suppression factor, Supp(E) = [1 + (E⁄E₀)²]⁻¹ — previously derived via a constructive functional renormalization group (FRG) proof of the Yang–Mills mass gap — naturally explains the observed plateau and roll-off of escape rates above equilibrium temperatures T_c ≳ 4000 K. By establishing the bridge relation E₀ = ħ·c·m*, we anchor the single free parameter of the escape model to the unique gauge-invariant mass gap m* of the FRG fixed point. Fits to transmission spectra of HD 209458 b, WASP-69 b, and KELT-9 b yield E₀ ≈ 0.79 ± 0.05 eV, consistent with nano-resonator dissipation experiments and lattice bounds on m*. We present full derivations, numerical methods, and falsifiable predictions for upcoming JWST and ARIEL observation cycles.

Suggested Citation

  • Stanley, Dustyn, 2025. "A Universal Entropic Suppression Law Resolves the Hot-Jupiter Atmospheric Escape Anomaly," OSF Preprints p7txe_v1, Center for Open Science.
    • Handle: RePEc:osf:osfxxx:p7txe_v1
    DOI: 10.31219/osf.io/p7txe_v1
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    1. A. Vidal-Madjar & A. Lecavelier des Etangs & J.-M. Désert & G. E. Ballester & R. Ferlet & G. Hébrard & M. Mayor, 2003. "An extended upper atmosphere around the extrasolar planet HD209458b," Nature, Nature, vol. 422(6928), pages 143-146, March.
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