Three for Lee

          @misc{ scivideos_PIRSA:25060053,
            doi = {10.48660/25060053},
            url = {https://pirsa.org/25060053},
            author = {Varadarajan, Madhavan},
            keywords = {},
            language = {en},
            title = {Three for Lee},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2025},
            month = {jun},
            note = {PIRSA:25060053 see, \url{https://scivideos.org/pirsa/25060053}}
          }
          

Abstract

I will present three results: 1. Violation of positivity of energy in the extension of classical General Relativity provided by Ashtekar's polynomial formulation by virtue of its admittance of initial data with degenerate (densitized) triads. 2. Consistency of Propagation in the sense articulated by Lee with the apparent ``ultralocal'' action of the Hamiltonian constraint in LQG. 3. An explicit demonstration of the consistency of area discreteness with Lorentz Invariance for an LQG type quantization of free scalar field theory on 1+1 flat spacetime formulated in a diffeomorphism invariant disguise. The first two results were obtained as answers to direct questions from Lee, the third is a new result and all three are motivated by issues connected with Dynamics, and hence, Time in LQG.