Ja n 20 09 CAUSAL VARIATIONAL PRINCIPLES ON MEASURE SPACES

Ju n 20 09 CAUSAL VARIATIONAL PRINCIPLES ON MEASURE SPACES

We introduce a class of variational principles on measure spaces which are causal in the sense that they generate a relation on pairs of points, giving rise to a distinction between spacelike and timelike separation. General existence results are proved. It is shown in examples that minimizers need not be unique. Counter examples to compactness are discussed. The existence results are applied t...

N ov 2 00 8 CAUSAL VARIATIONAL PRINCIPLES ON MEASURE SPACES

Causal variational principles on measure spaces are introduced. General existence results are proved. It is shown in examples that minimizers need not be unique. Counter-examples to compactness are discussed. The existence results are applied to variational principles formulated in indefinite inner product spaces.

Causal variational principles on measure spaces

We introduce a class of variational principles on measure spaces which are causal in the sense that they generate a relation on pairs of points, giving rise to a distinction between spacelike and timelike separation. General existence results are proved. It is shown in examples that minimizers need not be unique. Counter examples to compactness are discussed. The existence results are applied t...

1 1 Ja n 20 09 Trace coordinates on Fricke spaces of some simple hyperbolic surfaces

Complementarity in the Multiverse

In the multiverse, as in AdS, light-cones relate bulk points to boundary scales. This holographic UV-IR connection defines a preferred global time cut-off that regulates the divergences of eternal inflation. An entirely different cut-off, the causal patch, arises in the holographic description of black holes. Remarkably, I find evidence that these two regulators define the same probability meas...