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Ricci Flow, Quantum Mechanics and Gravity by Isidro, J. M.; Santander, J. L. G.; de Cordoba, P. Fernandez is a scholarly article available to read on EtoBox.

What is Ricci Flow, Quantum Mechanics and Gravity about?

It has been argued that, underlying any given quantum-mechanical model, there exists at least one deterministic system that reproduces, after prequantisation, the given quantum dynamics. For a quantum mechanics with a complex d-dimensional Hilbert space, the Lie group SU(d) represents classical canonical transformations on the projective space CP^{d-1} of quantum states. Let R stand for the Ricci flow of the manifold SU(d-1) down to one point, and let P denote the projection from the Hopf bundle onto its base CP^{d-1}. Then the underlying deterministic model we propose here is the Lie group SU(d), acted on by the operation PR. Finally we comment on some possible consequences that our model may have on a quantum theory of gravity.

Author

Isidro, J. M.; Santander, J. L. G.; de Cordoba, P. Fernandez

Published

2008

Language

EN