Quantization, Holography and the Universal Coefficient Theorem

Abstract

I present a method of performing geometric quantization using cohomology groups extended via coefficient groups of different types. This is possible according to the Universal Coefficient Theorem (UTC). I also show that by using this method new features of quantum field theory not visible in the previous treatments emerge. The main observation is that the ideas leading to the holographic principle can be interpreted in the context of the universal coefficient theorem from a totally different perspective.

5 Pages. Pertinent comments are welcome

References in corpus (7)

• The World as a Hologram
• On Background Independent Open-String Field Theory
• The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes
• Coarse graining methods for spin net and spin foam models
• The Emergence of Spacetime, or, Quantum Gravity on Your Desktop
• Lectures on Anomalies
• From state distinguishability to effective bulk locality

Cited by in corpus (5)

• On SU(2) anomaly and Majorana fermions
• Black Holes, Information and the Universal Coefficient Theorem
• Global aspects of the renormalization group and the Hierarchy problem
• On Some Information-geometric aspects of Hawking radiation
• Grothendieck's point of view and complexity in the black hole paradox