Lie theory suffices to resolve the local classical problem of time

DOI10.7546/giq-22-2021-43-63zbMath1472.83010OpenAlexW3162730064MaRDI QIDQ1980302

Yanyan Li

Publication date: 3 September 2021

Full work available at URL: https://doi.org/10.7546/giq-22-2021-43-63

zbMATH Keywords

Dirac algorithm and generalizationsLie theory, problem of time between GR and QM

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantization of the gravitational field (83C45) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)

Cites Work

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• Beables/observables in classical and quantum gravity
• The problem of time. Quantum mechanics versus general relativity
• Relations among low-dimensional simple Lie groups
• Introduction to Smooth Manifolds
• Three-Dimensional Geometry as Carrier of Information about Time
• Problem of time in quantum gravity
• Cohomology and deformations in graded Lie algebras
• Foundations of Quantum Mechanics
• Quantum Theory of Gravity. I. The Canonical Theory
• Forms of Relativistic Dynamics