Golden-Step Preheating: A Natural UV Cutoff Mechanism Linking Inflation to the Electroweak Scale
Authors/Creators
Description
I propose a novel mechanism to address the Higgs hierarchy problem
based on a time-dependent effective UV cutoff during the multi-stage
coherent decay of the inflaton. Resonant backreaction and wave-turbulent
cascades segment the inflaton evolution into discrete stages with amplitude
ratios following the golden ratio $\phi = (1+\sqrt{5})/2$. This reduces the
effective cutoff felt by the Higgs quadratic divergence from
$\sim 2 \times 10^{15}\,$GeV to $\sim 3.8 \times 10^{8}\,$GeV before
thermalization of the Standard Model sector. The resulting
$\delta \mu^2 \sim (3.8 \times 10^8\,\mathrm{GeV})^2$ yields a technically
natural electroweak scale without supersymmetry, extra dimensions, or
new fields. The mechanism predicts a characteristic multi-peak spectrum in
the stochastic gravitational-wave background.