Fundamental destruction of information and conservation laws

dc.creatorOppenheim, Jonathan
dc.creatorReznik, Benni
dc.date2009-02-13
dc.date.accessioned2026-07-07T12:43:24Z
dc.date.available2026-07-07T12:43:24Z
dc.descriptionTheories which have fundamental information destruction or decoherence are motivated by the black hole information paradox where one appears to have pure states evolving into mixed states. However such theories have either violated conservation laws, or are highly non-local. Here, we show that the tension between conservation laws and locality can be circumvented by constructing a relational theory of information destruction. In terms of conservation laws, we derive a generalisation of Noether's theorem for general theories, and show that symmetries imply a strong restriction on the type of evolution permissable. With respect to locality, we distinguish violations of causality from the creation or destruction of space-like seperated correlations. We show that violations of causality need not occur in a relational framework, although one can have situations where correlations decay faster than one might otherwise expect or can be created over spatial distances. This creation or destruction of correlations cannot be used to signal superluminally, and thus no violation of causality occurs. We prove that theories with information destruction can be made time-symmetric, thus impossing no arrow of time.
dc.description59 pages, but the first 3 sections (10 pages) convey the main idea
dc.identifierhttps://arxiv.org/abs/0902.2361
dc.identifierhttp://arxiv.org/abs/0902.2361
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220408
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleFundamental destruction of information and conservation laws
dc.typetext

Files

Collections