7 problems
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The Hauptvermutung for causal set continuum approximations
A causet is a locally finite partially ordered set. A faithful embedding of a causet into a spacetime at density is a map … such that is a high-probabi…
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The causal set reconstruction conjecture for continuum symmetries
Causal set reconstruction conjecture. Given an ensemble of causal sets, there is a corresponding spacetime manifold, and its continuum symmetries, like all manifold properties, are…
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The causal set Hauptvermutung
A causal set is a locally finite partially ordered set intended to model discrete spacetime; a spacetime manifold approximates a causal set when an appropriate embedding or sprinkl…
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The algebraic-expression causal-set conjecture
Algebraic-expression causal-set conjecture. Any associative algebraic expression gives a causal set.
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The universal curvature prefactor conjecture for the causal set d'Alembertian
Universal curvature prefactor conjecture. The coefficient is
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Singleton and co-singleton conjecture for the quantum measure of this AP
Let be the path space of the particular AP under consideration, let be its event space, and let be the associated quantum measure. For each…
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The converse generation conjecture for order-invariant measures
Let be a causal set, let be its space of natural extensions, and let be an order-invariant measure on the associated measurable space. An element…