Discreteness of Space from Anisotropic Spin-Orbit Interaction
- URL: http://arxiv.org/abs/2104.14563v1
- Date: Thu, 29 Apr 2021 15:22:50 GMT
- Title: Discreteness of Space from Anisotropic Spin-Orbit Interaction
- Authors: Ahmed Farag Ali and Barun Majumder
- Abstract summary: Various approaches to Quantum Gravity suggest an existence of a minimal measurable length.
We propose that minimal length can be obtained naturally through spin-orbit interaction.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Various approaches to Quantum Gravity suggest an existence of a minimal
measurable length. The cost to have such minimal length could be modified
uncertainty principle, modified dispersion relation, non-commutative geometry
or breaking of continuous Lorentz symmetry. In this paper, we propose that
minimal length can be obtained naturally through spin-orbit interaction. We
consider Dresselhaus anisotropic spin-orbit interaction as the perturbative
Hamiltonian. When applied to a particle, it implies that the space, which
seizes this particle, should be quantized in terms of units that depend on
particle's mass. This suggests that all measurable lengths in the space are
quantized in units depending on existent mass and the Dresselhaus coupling
constant. On one side, this indicates a breakdown of the space continuum
picture near the scale of tabletop experiments, and on the other side, it
proposes that spin-orbit interaction is a possible quantum gravity effect at
low energy scale that leads naturally to space quantization.
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