Thu, 13.06.2019 12:00

Locally finite-dimensional quantum physics and spacetime structure

Gravitational entropy bounds suggest that any bounded quantum system should be describable by a finite-dimensional Hilbert space.

I consider a formulation where the finite-dimensionality is implemented at the level of local operator algebras a la algebraic QFT. The requirement of local finite-dimensionality leads to modifications to the microscopic structure of spacetime, which I will explore. I will also discuss how local finite-dimensionality allows for spacetime geometry to be seen as an effective description of the statistical properties of quantum states, and for gravity to emerge as a statistical effect.

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Speaker: Matti Raasakka

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Locally finite-dimensional quantum physics and spacetime structure

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