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Accelerating decay with acceleration

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abstract

We investigate accelerated Unruh-deWitt detectors as a model for particle decay. We find non-trivial decay rates, including a pattern of peaks in decay rate that extends to lower accelerations. Applying our model to the alpha decay of $\mathrm{^{210}Po}$, we find that effects could be observed with an acceleration of $a\approx 10^{26} \frac{\mathrm{m}}{\mathrm{s}^2}$ as long as that acceleration is controlled to within 1 percent. Although still out of reach of current experimental setups, other decay processes at lower energy, such as beta decay, could result in the peaks we find being within range of future experiments.

fields

math.GM 1

years

2024 1

verdicts

REJECT 1

representative citing papers

Fourier transform of composed functions

math.GM · 2024-11-26 · reject · novelty 6.0

The main theorem is unsound because the kernel H_u is undefined for allowed functions like u(t)=t; the worked application is likely correct.

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  • Fourier transform of composed functions math.GM · 2024-11-26 · reject · none · ref 2023 · internal anchor

    The main theorem is unsound because the kernel H_u is undefined for allowed functions like u(t)=t; the worked application is likely correct.