Black holes, fundamental destruction of information and conservation laws

          @misc{ pirsa_PIRSA:09010026,
            doi = {10.48660/09010026},
            url = {https://pirsa.org/09010026},
            author = {Oppenheim, Jonathan},
            keywords = {Quantum Gravity, Quantum Fields and Strings},
            language = {en},
            title = {Black holes, fundamental destruction of information and conservation laws},
            publisher = {Perimeter Institute},
            year = {2009},
            month = {jan},
            note = {PIRSA:09010026 see, \url{https://pirsa.org}}
          }
          

Abstract

Theories which have fundamental information destruction or decoherence are motivated by the black hole information paradox. However they 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 generalization of Noether's theorem for general theories, and show that symmetries imply a restriction on the type of evolution permissible. With respect to locality, we distinguish violations of causality from the creation or destruction of separated correlations. We show that violations of causality need not occur in a relational framework -- the only non-locality is that correlations decay faster than one might otherwise expect or can be created over spatial distances. The theories can be made time-symmetric, thus imposing no arrow of time.