Sum-over-histories origin of the composition laws of relativistic quantum mechanics and quantum cosmology
Jonathan Halliwell, Miguel Ortiz
TL;DR
This paper explores how the sum-over-histories approach explains the composition laws in relativistic quantum mechanics and quantum cosmology, linking these laws to canonical formulations and broadening their theoretical understanding.
Contribution
It provides a comprehensive derivation of composition laws in quantum cosmology and clarifies their connection to the sum-over-histories and canonical frameworks.
Findings
Derived composition laws in quantum cosmology
Linked sum-over-histories approach to canonical formulation
Enhanced understanding of relativistic quantum mechanics foundations
Abstract
The scope of the paper has been broadened to include a more complete discussion of the following topics: The derivation of composition laws in quantum cosmology. The connection between the existence of a composition law in the sum over histories approach to relativistic quantum mechanics and quantum cosmology, and the existence of a canonical formulation.
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