Emergent Time in Quantum Field Theories: Implications for the Standard Model of Particle Physics
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The theory of emergent time introduced in \citet{Jaster2026a} and extended in \citet{Jaster2026b} through Planck-scale smearing of the causal field $\Theta_{\ell_{P}}$ is transferred to quantum field theories~(QFT) and the Standard Model of particle physics. The scalar causal field $\Theta_{\ell_{P}}(x)\in[0,1]$ couples as a prefactor $\sqrt{\Theta_{\ell_{P}}}$ to the Lagrangian density of all fields, thereby weighting the strength of physical processes according to the local causal connectivity to matter. The theory provides a natural ultraviolet~(UV) and infrared~(IR) regularisation without free parameters, renders the Wick rotation unnecessary, resolves the problem of time conceptually, strengthens the electroweak phase transition to a first-order transition, and generates a dynamic CP-violating contribution to baryogenesis. A modified dispersion relation consistent with predictions of loop quantum gravity follows as a direct consequence. Open problems -- in particular the position-dependent renormalisation group and the hierarchy problem -- are identified.
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emergent_qft_en_Jaster.pdf
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