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arXiv · 2012.14416

Clock-dependent spacetime

Sung-Sik Lee
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Abstract

Einstein's theory of general relativity is based on the premise that the physical laws take the same form in all coordinate systems. However, it still presumes a preferred decomposition of the total kinematic Hilbert space into local kinematic Hilbert spaces. In this paper, we consider a theory of quantum gravity that does not come with a preferred partitioning of the kinematic Hilbert space. It is pointed out that, in such a theory, dimension, signature, topology and geometry of spacetime depend on how a collection of local clocks is chosen within the kinematic Hilbert space.

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Sung-Sik Lee. 2020-12-28. Clock-dependent spacetime. https://doi.org/10.1007/jhep04(2021)204

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