General solution for classical sequential growth dynamics of causal sets
- Raman Research Institute, Bangalore 560 080 (India)
- Blackett Laboratory, Imperial College, London SW7 2AZ (United Kingdom)
A classical precursor to a full quantum dynamics for causal sets has been formulated in terms of a stochastic sequential growth process in which the elements of the causal set arise in a sort of accretion process. The transition probabilities of the Markov growth process satisfy certain physical requirements of causality and general covariance, and the generic solution with all transition probabilities nonzero has been found. Here we remove the assumption of nonzero probabilities, define a reasonable extension of the physical requirements to cover the case of vanishing probabilities, and find the completely general solution to these physical conditions. The resulting family of growth processes has an interesting structure reminiscent of an 'infinite tower of turtles' cosmology.
- OSTI ID:
- 20774706
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 73, Issue 10; Other Information: DOI: 10.1103/PhysRevD.73.104021; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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