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9 papers · 2 filters
A Specimen of Theory Construction from Quantum Gravity
Rafael D. Sorkin
I describe the history of my attempts to arrive at a discrete substratum underlying the spacetime manifold, culminating in the hypothesis that the basic structure has the form of a…
Complex actions in two-dimensional topology change
Jorma Louko, Rafael D. Sorkin
We investigate topology change in (1+1) dimensions by analyzing the scalar-curvature action at the points of metric-degeneration that (with minor exceptions) any no…
Energy extremality in the presence of a black hole
Rafael D. Sorkin, Madhavan Varadarajan
We derive the so-called first law of black hole mechanics for variations about stationary black hole solutions to the Einstein--Maxwell equations in the absence of sources. That is…
Two Topics concerning Black Holes: Extremality of the Energy, Fractality of the Horizon
Rafael D. Sorkin
We treat two aspects of the physics of stationary black holes. First we prove that the proportionality, d(energy) ~ d(area) for arbitrary perturbations (``extended first law''), fo…
A Causal Order for Spacetimes with Lorentzian Metrics: Proof of Compactness of the Space of Causal Curves
R. D. Sorkin, E. Woolgar
We recast the tools of ``global causal analysis'' in accord with an approach to the subject animated by two distinctive features: a thoroughgoing reliance on order-theoretic concep…
Quantum Measure Theory and its Interpretation
Rafael D. Sorkin
We propose a realistic, spacetime interpretation of quantum theory in which reality constitutes a *single* history obeying a "law of motion" that makes definite, but incomplete, pr…