Abstract
We consider the possibility that the physical spacetime of a quantum particle may be regarded as a four-dimensional hypersurface locally embedded in eightdimensional phase space. We show that, as a consequence, accelerated particles are seen to live in a curved spacetime, and, in the particular case of uniform acceleration, we are led to a generalization of the Rindler metric which implies, for a uniformly accelerated particle, a discrete energy spectrum.
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Caianiello, E.R., Feoli, A., Gasperini, M. et al. Quantum corrections to the spacetime metric from geometric phase space quantization. Int J Theor Phys 29, 131–139 (1990). https://doi.org/10.1007/BF00671323
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DOI: https://doi.org/10.1007/BF00671323