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Open Quantum Systems Decoherence Quantum State Preparation Representation Quantum Simulation Entanglement Theory Quantum Correlations

Theory of Complex Particle without Extra Dimensions

arXiv
Authors: Takayuki Hori

Year

2024

Paper ID

65872

Status

Preprint

Abstract Read

~2 min

Abstract Words

97

Citations

N/A

Abstract

Complex particle is a kind of bilocal particle having unexpected symmetry, which was proposed by the authour. In the present paper, we show that critical dimension of the complex particle in Minkowski spacetime is D = 4, while D = 2, 4 or 6 are permitted in Euclid spacetime. The origin of the restriction to the dimension is the existence of tertiary constraint in the canonical theory, quantization of which leads to an eigenvalue equation having single-valued and bounded solutions only in particular dimension of spacetime. The derivation is based on a detailed analysis of Laplace-Beltrami operator on S1,D-2 or SD-1.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • Complex particle is a kind of bilocal particle having unexpected symmetry, which was proposed by the authour.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2407.03378 [2] arXiv https://arxiv.org/abs/2407.03378 [3] Publisher https://arxiv.org/abs/2407.03378

Local Citation Graph (Related-Paper Links)

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