Published November 26, 2025 | Version v1

Golden-Step Preheating: A Natural UV Cutoff Mechanism Linking Inflation to the Electroweak Scale

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.

Files

Bridging Inflation and the Electroweak Scale via Golden-Step Preheating (2).pdf

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