A First Bound on the Moffat Energy and Thorium--229 Clock as a Probe of the Nonlocal Time-Energy Structure
Source: Originally published on arXiv quant-ph on July 22, 2026.
arXiv:2607.18333v1 Announce Type: new Abstract: The new Thorium--229 nuclear clocks give us a new laboratory system in which to test if modification of the Time-Energy uncertainty principle is correct. In this paper we derive the nonlocal Time-Energy uncertainty principle and then apply the published $^{229}$Th nuclear clock data as a first probe of the nonlocality scale (E_M). We note that since these experiments were not designed to test nonlocal quantum field theory the constraints are interpreted as motivating bounds and not definitive exclusions. By using the direct clock-energy channel, we find conservative lower bounds on (E_M) at the tens of MeV scale, with optimistic present-data estimates reaching the hundred MeV scale. Including the known nuclear sensitivity enhancement of...
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