A clock field interacting with matter in a Riemannian 4D space creates emergent Lorentzian patches, replacing the Big Bang singularity with a smooth signature-flip boundary and allowing an almost de Sitter early phase.
Emergence of time in power-counting renormalizable Riemannian theory of gravity
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abstract
We suggest a new scenario of gravitation in which gravity at the fundamental level is described by a Riemannian (i.e. locally Euclidean) theory without the notion of time. The Lorentzian metric structure and the notion of time emerge as effective properties at long distances. On the other hand, at short distances, higher derivative terms compatible with the Riemannian diffeomorphism become important and the system is described by a power-counting renormalizable Riemannian theory.
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gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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The emergent Big Bang scenario
A clock field interacting with matter in a Riemannian 4D space creates emergent Lorentzian patches, replacing the Big Bang singularity with a smooth signature-flip boundary and allowing an almost de Sitter early phase.