https://doi.org/10.1140/epjc/s10052-021-09307-1
Regular Article - Theoretical Physics
Quantum theory of redshift in de Sitter expanding universe
West University of Timişoara, V. Pârvan Ave. 4, 300223, Timişoara, Romania
Received:
24
February
2021
Accepted:
3
June
2021
Published online:
27
June
2021
The quantum theory of the Maxwell free field in Coulomb gauge on the de Sitter expanding universe is completed with the technical elements needed for building a coherent quantum theory of redshift. Paying special attention to the conserved observables and defining the projection operator selecting the detected momenta it is shown that the expectation values of the energies of the emitted and detected photons comply with the Lemaître rule of Hubble’s law. Moreover, the quantum corrections to the dispersions of the principal observables and new uncertainty relations are derived.
© The Author(s) 2021
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