A conserved Bach current

A conserved Bach current

The Bach tensor and a vector which generates conformal symmetries allow a conserved 4-current to be defined. The Bach 4-current gives rise to a quasilocal 2-surface expression for power per luminosity distance in the Vaidya exterior of collapsing fluid interiors. This is interpreted in terms of entropy generation. PACS numbers: 0420J, 0440N

Construction of Conserved Current Operators

A general procedure for constructing conserved electromagnetic current operators, for both finite and infinite degree of freedom systems, is given. A four-momentum operator consisting of matter, photon, and electromagnetic interactions is assumed to be polynomial in photon creation and annihilation operators. Commutators of the four-momentum operator with the four-vector potential operator at t...

Bach in Mind

Conserved OprF as a Selective Immunogen Against Pseudomonas aeruginosa

Background & Objectives: Due to the importance of Pseudomonas aeruginosa in severe inpatient infections and high mortality, the need for an efficient vaccine against these bacteria is increasing. In this regard, the general outer membrane porin of the most problematic microorganism P. aeruginosa, outer membrane protein F (OprF), is a good vaccine cand...

Bach in a Box - Real-Time Harmony

We describe a system for learning J. S. Bach's rules of musical harmony. These rules are learned from examples and are expressed as rule-based neural networks. The rules are then applied in realtime to generate new accompanying harmony for a live performer. Real-time functionality imposes constraints on the learning and harmonizing processes, including limitations on the types of information th...