Towards a Unified Framework for Quantum Spacetime: A Synthesis of Asymptotic Safety and Causal Dynamical Triangulations

We propose and explore a candidate unified framework for quantum gravity built on the central postulatethat the non-Gaussian fixed point of the continuum Asymptotic Safety program is physically equivalentto the second-order phase transition in discrete Causal Dynamical Triangulations. This synthesis offers anon-perturbative model of quantum spacetime from which a potential solution to the "Problem of Time"and a series of falsifiable cosmological and particle physics predictions arise. Within this framework,a standard, time-dependent quantum evolution is generated constructively from the microscopic, causalstructure of spacetime, from which a standard Schrödinger equation emerges.The unified model predicts spacetime emerges from a two-dimensional fractal state at the Planckscale, offering a mechanism to resolve cosmological and black hole singularities. After demonstratingthat a direct identification of the fixed-point epoch with inflation is ruled out by observation, the framework provides a mechanism for a "graceful entry" into a subsequent Starobinsky-like inflationary phaseconsistent with CMB data. It also predicts stable, Planck-mass black hole remnants as a viable dark matter candidate. Furthermore, a dynamical mechanism tied to cosmic expansion is included that may haltthe renormalization group flow of the cosmological constant, potentially explaining the observed scale ofdark energy. The requirement of a consistent gravity-matter system also places constraints on StandardModel parameters, leading to predictions for the Higgs and top quark masses that are in agreement withexperimental values.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-08-17
DOI
https://doi.org/10.5281/zenodo.16890689
Primary Topic
Pregnancy and preeclampsia studies
Type
article
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article

Towards a Unified Framework for Quantum Spacetime: A Synthesis of Asymptotic Safety and Causal Dynamical Triangulations

Zenodo (CERN European Organization for Nuclear Research)
Pregnancy and preeclampsia studies
article

Towards a Unified Framework for Quantum Spacetime: A Synthesis of Asymptotic Safety and Causal Dynamical Triangulations

article en

Abstract

We propose and explore a candidate unified framework for quantum gravity built on the central postulatethat the non-Gaussian fixed point of the continuum Asymptotic Safety program is physically equivalentto the second-order phase transition in discrete Causal Dynamical Triangulations. This synthesis offers anon-perturbative model of quantum spacetime from which a potential solution to the "Problem of Time"and a series of falsifiable cosmological and particle physics predictions arise. Within this framework,a standard, time-dependent quantum evolution is generated constructively from the microscopic, causalstructure of spacetime, from which a standard Schrödinger equation emerges.The unified model predicts spacetime emerges from a two-dimensional fractal state at the Planckscale, offering a mechanism to resolve cosmological and black hole singularities. After demonstratingthat a direct identification of the fixed-point epoch with inflation is ruled out by observation, the framework provides a mechanism for a "graceful entry" into a subsequent Starobinsky-like inflationary phaseconsistent with CMB data. It also predicts stable, Planck-mass black hole remnants as a viable dark matter candidate. Furthermore, a dynamical mechanism tied to cosmic expansion is included that may haltthe renormalization group flow of the cosmological constant, potentially explaining the observed scale ofdark energy. The requirement of a consistent gravity-matter system also places constraints on StandardModel parameters, leading to predictions for the Higgs and top quark masses that are in agreement withexperimental values.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 37%
Pregnancy and preeclampsia studies
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Towards a Unified Framework for Quantum Spacetime: A Synthesis of Asymptotic Safety and Causal Dynamical Triangulations · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS