Why does the Kerr-Newman black hole have the same gyromagnetic ratio as the electron?

• URL: http://arxiv.org/abs/2006.05392v1
• Date: Tue, 9 Jun 2020 16:42:35 GMT
• Title: Why does the Kerr-Newman black hole have the same gyromagnetic ratio as the electron?
• Authors: Meghraj M S, Abhishek Pandey and Tejinder P. Singh
• Abstract summary: We show how to include Yang-Mills gauge fields in this Planck scale matrix dynamics. We show how spontaneous localisation in the matrix dynamics gives rise to general relativity coupled to gauge-fields and relativistic point particles.
• Score: 1.573311395567215
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We have recently proposed a deterministic matrix dynamics at the Planck scale, for gravity coupled to Dirac fermions, evolving in the so-called Connes time. By coarse-graining this dynamics over time intervals much larger than Planck time, we derived the space-time manifold, quantum theory, and classical general relativity, as low energy emergent approximations to the underlying matrix dynamics. In the present article, we show how to include Yang-Mills gauge fields in this Planck scale matrix dynamics. We do this by appropriately modifying the fundamental action for the previously introduced `atom' of space-time-matter [which we now call an `aikyon']. This is achieved by modifying the Dirac operator to include a `potential' for the Yang-Mills aspect, and a `current' for the Yang-Mills charge. Our work opens up an avenue for unification of gravity with gauge-fields and Dirac fermions. We show how spontaneous localisation in the matrix dynamics gives rise to general relativity coupled to gauge-fields and relativistic point particles, in the classical limit. We use this formalism to explain the remarkable fact that the Kerr-Newman black hole has the same value for the gyromagnetic ratio as that for a Dirac fermion, both being twice the classical value.

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