Fully Self-Consistent Semiclassical Gravity

• URL: http://arxiv.org/abs/2506.17149v1
• Date: Fri, 20 Jun 2025 16:53:34 GMT
• Title: Fully Self-Consistent Semiclassical Gravity
• Authors: R. Muciño, E. Okon, D. Sudarsky, M. Wiedemann,
• Abstract summary: A theory of quantum gravity consists of a gravitational framework which takes into account the quantum character of matter.<n>A successful semiclassical gravity model, in which the classical Einstein tensor couples to the expectation value of the energy-momentum tensor of quantum matter fields, would, at the very least, constitute a useful stepping stone towards quantum gravity.<n>Here, we put forward a fully self-consistent, empirically viable semiclassical gravity framework, in which the expectation value of the energy-momentum tensor of a quantum field, evolving via a relativistic objective collapse dynamics, couples to a fully classical Einstein tensor.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: A theory of quantum gravity consists of a gravitational framework which, unlike general relativity, takes into account the quantum character of matter. In spite of impressive advances, no fully satisfactory, self-consistent and empirically viable theory with those characteristics has ever been constructed. A successful semiclassical gravity model, in which the classical Einstein tensor couples to the expectation value of the energy-momentum tensor of quantum matter fields, would, at the very least, constitute a useful stepping stone towards quantum gravity. However, not only no empirically viable semiclassical theory has ever been proposed, but the self-consistency of semiclassical gravity itself has been called into question repeatedly over the years. Here, we put forward a fully self-consistent, empirically viable semiclassical gravity framework, in which the expectation value of the energy-momentum tensor of a quantum field, evolving via a relativistic objective collapse dynamics, couples to a fully classical Einstein tensor. We present the general framework, a concrete example, and briefly explore possible empirical consequences of our model.

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