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Recovering General Relativity from a Planck scale discrete theory of quantum gravity
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An argument is presented that if a theory of quantum gravity is physically discrete at the Planck scale and the theory recovers General Relativity as an approximation, then, at the current stage of our knowledge, causal sets must arise within the theory, even if they are not its basis. We show in particular that an apparent alternative to causal sets, viz. a certain sort of discrete Lorentzian simplicial complex, cannot recover General Relativistic spacetimes in the appropriately unique way. For it cannot discriminate between Minkowski spacetime and a spacetime with a certain sort of gravitational wave burst.
Forward citations
Cited by 2 Pith papers
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Discrete Approximations to $\operatorname{U}(1)$ Principal Bundles in Abelian Gauge Theory
A new discretized Abelian gauge theory T_k is constructed so that as k→∞ it recovers the monopoleless sector of Maxwell theory, unlike naive Z_k gauge theory, which becomes flat Maxwell theory.
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Multidimensional arrow of time
The direction of time is claimed to be fixed by the exponentially growing entropy of expanding extra dimensions, which dominates every other entropy source in the universe.
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