A complexity/fidelity susceptibility g-theorem for AdS3_3/BCFT2_2

We use a recently proposed holographic Kondo model as a well-understood example of AdS/boundary CFT (BCFT) duality, and show explicitly that in this model the bulk volume decreases along the RG flow. We then obtain a proof that this volume loss is indeed a generic feature of AdS/BCFT models of the type proposed by Takayanagi in 2011. According to recent proposals holographically relating bulk volume to such quantities as complexity or fidelity susceptibility in the dual field theory, this suggests the existence of a complexity or fidelity susceptibility analogue of the Affleck-Ludwig g-theorem, which famously states the decrease of boundary entropy along the RG flow of a BCFT. We comment on this possibility.Comment: 24 pages, 4 figures v2: added citations and minor clarification

The Divine Action Project, 1988–2003

This article explores the state of the art in theories of special divine action by means of a study of the Divine Action Project (DAP) co-sponsored by the Vatican Observatory and the Center for Theology and the Natural Sciences in Berkeley. The basic aim is to introduce the DAP and to summarize its results, especially as these were compiled in the final “capstone” meeting of the DAP, and drawing on the published output of the project where possible. The subsidiary aim is to evaluate criticisms of theories of special divine action developed within the DAP.ye

Evolution and the nature of time

The concept of time is critical in evolutionary thought, but rarely has it been considered as an object of theoretical research by evolutionary biologists. Evolution is an organism’s possibility of access to the future; in other words, evolutionary reward is paid out as increased time. Replicating entities are granted time, but for them, time only serves to allow replication and evolution, and to further expand the frontier of time. The present review discusses the possible influence of considering time not as a pure dimension (or an a priori intuitive condition of human experience) but as an object in itself. At least as a metaphor, time can be considered as a self-replicating entity rooted in physical (including biological) beings, with the result of producing dimensional time. Time self-replication forces beings to replicate, which, in turn, further sustains the replication of time. In that sense, time-replication may constitute the driving force, i.e., the basic engine, providing directional energy to the evolutionary process. The philosophical roots, caveats, and perspectives of this hypothesis are presented here. The metaphor of replicating-time plays with the possibility of viewing time not as a merely regulatory component of scientific inquiry but instead, as a real and creative constituent of nature and, for this reason, an object worthy of research in the natural sciences. [Int Microbiol 2005; 8(2):81-91