TL;DR
This paper introduces a novel mathematical framework for quantum gravity coupled with matter, linking topological quantum field theory and algebraic structures to interpret quantum mechanics in a relativistic context.
Contribution
It presents a new mathematical formulation for quantum gravity that integrates TQFT and Ashtekar variables, offering insights into quantum mechanics interpretation in curved spacetime.
Findings
New mathematical form for quantum gravity with matter
Connection between TQFT and Ashtekar variables
Insights into quantum mechanics interpretation in general relativity
Abstract
I propose a new mathematical form for the quantum theory of gravity coupled to matter. The motivation is from the connection between CSW TQFT and the Ashtekar variables. I also connect the algebraic structure of TQFT with some thoughts about the interpretation of quantum mechanics in a general relativistic setting.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Noncommutative and Quantum Gravity Theories · Advanced Operator Algebra Research