Path integral of the relativistic point particle in Minkowski space

Koch, Benjamin; Muñoz, Enrique

doi:10.1103/physrevd.103.105025

Cited by 3 publications

(1 citation statement)

References 32 publications

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“…[36]. The description of a relativistic particle in a PI formalism has been discussed in [37], where the Feynman propagator has been connected to the imaginary action in the space-like paths, to be accounted in the sum of all possible trajectories together with the orthochronos paths (at the speed of light).…”

Section: Imaginary Closed Pathsmentioning

confidence: 99%

The Potential of a Thick Present through Undefined Causality and Non-Locality

Capurso¹

2022

Entropy

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This paper elaborates on the interpretation of time and entanglement, offering insights into the possible ontological nature of information in the emergence of spacetime, towards a quantum description of gravity. We first investigate different perspectives on time and identify in the idea of a “thick present” the only element of reality needed to describe evolution, differences, and relations. The thick present is connected to a spacetime information “sampling rate”, and it is intended as a time symmetric potential bounded between a causal past of irreversible events and a still open future. From this potential, spacetime emerges in each instant as a space-like foliation (in a description based on imaginary paths). In the second part, we analyze undefined causal orders to understand how their potential could persist along the thick present instants. Thanks to a C-NOT logic and the concept of an imaginary time, we derive a description of entanglement as the potential of a logically consistent open choice among imaginary paths. We then conceptually map the imaginary paths identified in the entanglement of the undefined orders to Closed Time-like Curves (CTC) in the thick present. Considering a universe described through information, CTC are interpreted as “memory loops”, elementary structures encoding the information potential related to the entanglement in both time and space, manifested as undefined causality and non-locality in the emerging foliation. We conclude by suggesting a possible extension of the introduced concepts in a holographic perspective.

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Section: Imaginary Closed Pathsmentioning

confidence: 99%

The Potential of a Thick Present through Undefined Causality and Non-Locality

Capurso¹

2022

Entropy

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Resummation for quantum propagators in bounded spaces

Edwards

González-Domínguez²,

Huet³

et al. 2022

Phys. Rev. E

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Earthquake Quantization

Koch,

Muñoz

2024

Quantum

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In this homage to Einstein's 144th birthday we propose a novel quantization prescription, where the paths of a path-integral are not random, but rather solutions of a geodesic equation in a random background. We show that this change of perspective can be made mathematically equivalent to the usual formulations of non-relativistic quantum mechanics. To conclude, we comment on conceptual issues, such as quantum gravity coupled to matter and the quantum equivalence principle.

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Path integral of the relativistic point particle in Minkowski space

Cited by 3 publications

References 32 publications

The Potential of a Thick Present through Undefined Causality and Non-Locality

The Potential of a Thick Present through Undefined Causality and Non-Locality

Resummation for quantum propagators in bounded spaces

Earthquake Quantization

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