The universal path integral

Path integrals calculate probabilities by summing over classical configurations of variables such as fields, assigning each configuration a phase equal to the action of that configuration. This paper defines a universal path integral, which sums over all computable structures. This path integral con...

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Bibliographic Details
Main Authors: Lloyd, Seth (Contributor), Dreyer, Olaf (Author)
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering (Contributor)
Format: Article
Language:English
Published: Springer US, 2016-06-23T22:08:39Z.
Subjects:
Online Access:Get fulltext
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520 |a Path integrals calculate probabilities by summing over classical configurations of variables such as fields, assigning each configuration a phase equal to the action of that configuration. This paper defines a universal path integral, which sums over all computable structures. This path integral contains as sub-integrals all possible computable path integrals, including those of field theory, the standard model of elementary particles, discrete models of quantum gravity, string theory, etc. The universal path integral possesses a well-defined measure that guarantees its finiteness. The probabilities for events corresponding to sub-integrals can be calculated using the method of decoherent histories. The universal path integral supports a quantum theory of the universe in which the world that we see around us arises out of the interference between all computable structures. 
520 |a W. M. Keck Foundation Center for Extreme Quantum Information Theory 
520 |a United States. Defense Advanced Research Projects Agency 
520 |a United States. Army Research Office. Multidisciplinary University Research Initiative 
520 |a National Science Foundation (U.S.) 
520 |a MIT Energy Initiative 
520 |a Eni S.p.A. (Firm) 
520 |a Lockheed Martin 
520 |a Foundational Questions Institute (FQXi) 
520 |a Jeffrey Epstein 
546 |a en 
655 7 |a Article 
773 |t Quantum Information Processing