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We develop a theoretical framework in which time is treated as a quantum observable near the Planck scale. The Salecker-Wigner-Peres (SWP) bound renders classical temporal definiteness operationally undefined below the Planck time tP ≈ 5. 39×10⁻⁴⁴ s. We address the Pauli objection using Galapon's maximally symmetric time operator on a dense physical domain, and argue that the domain condition is physically motivated by the SWP bound. We identify physical chronon states as regularised Gaussian wavepackets proven to belong to this domain. A random-walk model on the Planck temporal lattice leads to an order-of-magnitude temporal decoherence estimate τ ~ (mP/m) ² tP, giving ~30 s for the free electron and ~9 μs for the proton. These predictions are distinguishable from Diósi-Penrose and CSL models by their m⁻² scaling in the temporal degree of freedom and may be testable with current attosecond interferometry and ion-trap platforms.
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Denis Waldemar Sánchez Michel (Thu,) studied this question.
www.synapsesocial.com/papers/6a080b27a487c87a6a40d34f — DOI: https://doi.org/10.5281/zenodo.20188129
Denis Waldemar Sánchez Michel
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