##### Department of Mathematics,

University of California San Diego

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### Discrete Physics

## Stan Gudder

#### University of Denver

## An Approach to Discrete Quantum Gravity

##### Abstract:

This framework is based on the causal set approach to discrete quantum gravity. We first construct a causal growth process (CGP). We Ã¢ï¿½ï¿½quantizeÃ¢ï¿½ï¿½ the CGP by forming Hilbert spaces of sets of finite paths. A quantum dynamics is generated by a sequence of probability operators on these Hilbert spaces which then gives a quantum sequential growth process. We also obtain a quantum measure space using suitable subsets of the path space. We define a covariant bidifference operator on the Hilbert space of causal sets. Employing this operator we define a discrete curvature operator and discrete Einstein equations. We comment on the relationship of this to classical general relativity.

Host: David Rideout

### April 23, 2013

### 2:00 PM

### AP&M 7321

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