The paper constructs functional flat bundles with rational connections on infinite-dimensional manifolds to generalize Hamiltonian and renormalization group evolution in QFT, concluding spacetime notions emerge as spectral sets of functional differential operators.
Emergent Spacetime
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abstract
We summarize the arguments that space and time are likely to be emergent notions; i.e. they are not present in the fundamental formulation of the theory, but appear as approximate macroscopic concepts. Along the way we briefly review certain topics. These include ambiguities in the geometry and the topology of space which arise from dualities, questions associated with locality, various known examples of emergent space, and the puzzles and the prospects of emergent time.
fields
physics.gen-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Flat Bundles on Function Manifolds and Evolution Equations in Quantum Field Theories
The paper constructs functional flat bundles with rational connections on infinite-dimensional manifolds to generalize Hamiltonian and renormalization group evolution in QFT, concluding spacetime notions emerge as spectral sets of functional differential operators.