Fundamental limit on angular measurements and rotations from quantum mechanics and general relativity

Calmet, Xavier and Hsu, Stephen D H (2021) Fundamental limit on angular measurements and rotations from quantum mechanics and general relativity. Physics Letters B, 823. a136763 1-4. ISSN 0370-2693

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Abstract

We show that the precision of an angular measurement or rotation (e.g., on the orientation of a qubit or spin state) is limited by fundamental constraints arising from quantum mechanics and general relativity (gravitational collapse). The limiting precision is r−1 in Planck units, where r is the physical extent of the (possibly macroscopic) device used to manipulate the spin state. This fundamental limitation means that spin states S1 and S2 cannot be experimentally distinguished from each other if they differ by a sufficiently small rotation. Experiments cannot exclude the possibility that the space of quantum state vectors (i.e., Hilbert space) is fundamentally discrete, rather than continuous. We discuss the implications for finitism: does physics require infinity or a continuum?

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
SWORD Depositor: Mx Elements Account
Depositing User: Mx Elements Account
Date Deposited: 16 Dec 2021 08:00
Last Modified: 16 Dec 2021 08:00
URI: http://sro.sussex.ac.uk/id/eprint/103392

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