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20110056

A proposal is made for a fundamental theory, in which the history of the universe is constituted of views of itself. Views are attributes of events, and the theory's only be-ables; they comprise information about energy and momentum transferred to an event from its causal past.

The theory is called the causal theory of views (CTV) and is a candidate for a completion of QM. It is partly based on energetic causal sets (ECS), an approach developed with Marina Cortes. A key result that applies also here is that spacetime is emergent from the ECS dynamics. This implies that the fundamental dynamics involve no notion of space, distance or derivatives. Instead I propose that a measure of similarity of views replaces derivatives as the basic measure of change and difference.

A measure of the diversity of views in a causal network is introduced, called the variety (originally invented with Julian Barbour). I postulate a dynamics for CTV based on an action involving the variety and show that in an appropriate limit, it reduces to Schrodinger quantum mechanics. A key result is that the variety reduces to Bohm's quantum potential.

Based on arXiv:1307.6167, arXiv:1308.2206 , arXiv:1712.0479 and a paper in preparation.

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©2012 Perimeter Institute for Theoretical Physics