It is shown that the covariance together with the quantum principle speak for an affinely connected structure which, for distances greater than Planck’s length, goes over in a metrically connected structure of space-time.
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Treder, HJ., Borzeszkowski, HH.v. Covariance and Quantum Principles–Censors of the Space-Time Structure. Found Phys 36, 757–763 (2006). https://doi.org/10.1007/s10701-005-9043-7
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DOI: https://doi.org/10.1007/s10701-005-9043-7