A Local Resolution of the Problem of Time

Abstract

We here announce and outline a solution of this major and longstanding foundational problem, dealing with all seven of its heavily-interrelated local facets.

5 pages, 1 figure. References updated

References in corpus (6)

• Some remarks on the notions of general covariance and background independence
• Problem of Time and Background Independence: the Individual Facets
• TRiPoD (Temporal Relationalism incorporating Principles of Dynamics)
• Specific PDEs for Preserved Quantities in Geometry. I. Similarities and Subgroups
• Spaces of Observables from Solving PDEs. I. Translation-Invariant Theory
• Problem of Time: Temporal Relationalism Compatibility of Other Local Classical Facets Completed

Cited by in corpus (21)

• A Local Resolution of the Problem of Time. III. The other classical facets piecemeal
• A Local Resolution of the Problem of Time. II. Configurational Relationalism via a generalization of Group Averaging
• A Local Resolution of the Problem of Time. I. Introduction and Temporal Relationalism
• Specific PDEs for Preserved Quantities in Geometry. I. Similarities and Subgroups
• A Local Resolution of the Problem of Time. IV. Quantum outline and piecemeal Conclusion
• A Local Resolution of the Problem of Time. V. Combining Temporal and Configurational Relationalism for Finite Theories
• A Local Resolution of the Problem of Time. IX. Spacetime Constructability
• Spaces of Observables from Solving PDEs. I. Translation-Invariant Theory
• A Local Resolution of the Problem of Time. VII. Constraint Closure
• Geometry from Brackets Consistency
• Specific PDEs for Preserved Quantities in Geometry. II. Affine Transformations and Subgroups
• A Local Resolution of the Problem of Time. XIV. Grounding on Lie's Mathematics
• Specific PDEs for Preserved Quantities in Geometry. III. 1-d Projective Transformations and Subgroups
• Problem of Time and Background Independence: classical version's higher Lie Theory
• Nijenhuis-type variants of Local Theory of Background Independence
• Nambu variant of Local Resolution of Problem of Time and Background Independence
• Quadrilaterals in Shape Theory. II. Alternative Derivations of Shape Space: Successes and Limitations
• Lie Theory suffices to understand, and Locally Resolve, the Problem of Time
• A Local Resolution of the Problem of Time. VIII. Assignment of Observables
• Isotropy Groups and Kinematic Orbits for 1 and 2-$d$ $N$-Body Problems
• Comparative Theory of Background Independence