Chameleon Decoupling at Nuclear Density: E(C) = mc²e^(kC) Predicts Exact Standard Nuclear Physics for Superheavy Elements and Closes the Multi-Scale Predictive Chain at Z = 119

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Autore principale: Colson Lake
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Pubblicazione: Zenodo 2026
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author Colson Lake
author_facet Colson Lake
contents <p>We apply the chameleon scalar–tensor effective field theory (EFT) defined by E(C) = mc²e^(kC), with benchmark parameters k = 1.92 and δC = 0.0049 established by companion MCMC and astrophysical analyses, to the nuclear density regime ρ_nuc ≃ 2.3 × 10¹⁷ kg m⁻³. At this density the chameleon thin-shell condition is satisfied with overwhelming margin: the nuclear surface Newtonian potential Φ_N/c² ≃ 4.6 × 10⁻³⁸ yields a field shift ΔC_nuc ≤ 6kΦ_N/c² ≃ 5.3 × 10⁻³⁷, which is 10³³ times below the threshold required for a 0.1% modification to nuclear binding energy. The E(C) framework therefore predicts exact standard nuclear physics for superheavy elements: binding energies, decay rates, and synthesis cross-sections for Z = 119 (ununennium, A ≈ 299) are unmodified relative to the liquid-drop model plus relativistic mean-field shell corrections. This constitutes a parameter-free, falsifiable prediction: any measured anomaly in superheavy nuclear structure beyond standard model nuclear theory would falsify the E(C) EFT at this scale. The result simultaneously closes the multi-scale predictive chain of the E(C) framework, which now spans 40 orders of magnitude in length scale — from the 8.02 fm nuclear radius of ²⁹⁹₁₁₉Uue to the ~3.4 Gpc characteristic wormhole throat scale — using the single parameter set k = 1.92, δC = 0.0049.</p>
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spellingShingle Chameleon Decoupling at Nuclear Density: E(C) = mc²e^(kC) Predicts Exact Standard Nuclear Physics for Superheavy Elements and Closes the Multi-Scale Predictive Chain at Z = 119
Colson Lake
chameleon field, dark energy, element 119, nuclear physics, thin-shell condition, superheavy elements, scalar-tensor gravity, E(C) = mc2 ekC
<p>We apply the chameleon scalar–tensor effective field theory (EFT) defined by E(C) = mc²e^(kC), with benchmark parameters k = 1.92 and δC = 0.0049 established by companion MCMC and astrophysical analyses, to the nuclear density regime ρ_nuc ≃ 2.3 × 10¹⁷ kg m⁻³. At this density the chameleon thin-shell condition is satisfied with overwhelming margin: the nuclear surface Newtonian potential Φ_N/c² ≃ 4.6 × 10⁻³⁸ yields a field shift ΔC_nuc ≤ 6kΦ_N/c² ≃ 5.3 × 10⁻³⁷, which is 10³³ times below the threshold required for a 0.1% modification to nuclear binding energy. The E(C) framework therefore predicts exact standard nuclear physics for superheavy elements: binding energies, decay rates, and synthesis cross-sections for Z = 119 (ununennium, A ≈ 299) are unmodified relative to the liquid-drop model plus relativistic mean-field shell corrections. This constitutes a parameter-free, falsifiable prediction: any measured anomaly in superheavy nuclear structure beyond standard model nuclear theory would falsify the E(C) EFT at this scale. The result simultaneously closes the multi-scale predictive chain of the E(C) framework, which now spans 40 orders of magnitude in length scale — from the 8.02 fm nuclear radius of ²⁹⁹₁₁₉Uue to the ~3.4 Gpc characteristic wormhole throat scale — using the single parameter set k = 1.92, δC = 0.0049.</p>
title Chameleon Decoupling at Nuclear Density: E(C) = mc²e^(kC) Predicts Exact Standard Nuclear Physics for Superheavy Elements and Closes the Multi-Scale Predictive Chain at Z = 119
topic chameleon field, dark energy, element 119, nuclear physics, thin-shell condition, superheavy elements, scalar-tensor gravity, E(C) = mc2 ekC
url https://doi.org/10.5281/zenodo.19562149