A proposed noncommutative matrix action for 'atoms of spacetime-matter' aims to derive quantum gravity, spontaneous localisation, and classical general relativity with matter sources from a single principle.
Proposal for a new quantum theory of gravity II: Spectral equation of motion for the atom of space-time-matter
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abstract
In the first paper of this series, we have introduced the concept of an atom of space-time-matter [STM], which is described by the spectral action of non-commutative geometry, corresponding to a classical theory of gravity. In the present work, we use the Connes time parameter along with the spectral action, to incorporate gravity into trace dynamics. We then derive the spectral equation of motion for the STM atom, which turns out to be the Dirac equation on a non-commutative space.
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gr-qc 1years
2019 1verdicts
REJECT 1representative citing papers
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Proposal for a new quantum theory of gravity III: Equations for quantum gravity, and the origin of spontaneous localisation
A proposed noncommutative matrix action for 'atoms of spacetime-matter' aims to derive quantum gravity, spontaneous localisation, and classical general relativity with matter sources from a single principle.