Entropy of self-gravitating radiation
AbstractWe examine the entropy of self-gravitating radiation confined to a spherical box of radiusR in the context of general relativity. We expect that configurations (i.e., initial data) which...
View ArticleParallelizable implicit evolution scheme for Regge calculus
AbstractThe role of Regge calculus as a tool for numerical relativity is discussed, and a parallelizable implicit evolution scheme described. Because of the structure of the Regge equations, it is...
View ArticleCausal Sets: Discrete Gravity
AbstractThese are some notes in lieu of the lectures I was scheduled to give, but had to cancel at the last moment. In some places, they are more complete, in others much less so, regrettably. I hope...
View ArticleRelativity Theory Does Not Imply that the Future Already Exists: A...
It is often said that the relativistic fusion of time with space rules out genuine change or “becoming”. I offer the classical sequential growth models of causal set theory as counterexamples.
View ArticleA distinguished vacuum state for a quantum field in a curved spacetime:...
AbstractWe define a distinguished “ground state” or “vacuum” for a free scalar quantum field in a globally hyperbolic region of an arbitrarily curved spacetime. Our prescription is motivated by the...
View ArticleGeneralized causal set d’Alembertians
AbstractWe introduce a family of generalized d’Alembertian operators in D-dimensional Minkowski spacetimes \( {\mathbb M} \)D which are manifestly Lorentz-invariant, retarded, and non-local, the extent...
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