What does this research mean for the field?

Stability and coarse-grainability constrain admissible continuum phases in emergent spacetime models to hyperbolic operator classes that select Lorentzian signature. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

The research aims to identify essential pre-geometric conditions that allow for a physically meaningful description of emergent spacetime.

March 4, 2026Open Access

Admissibility and Stability Constraints on Emergent Lorentzian Spacetime

Key Points

The research aims to identify essential pre-geometric conditions that allow for a physically meaningful description of emergent spacetime.
Developed a structural admissibility framework for spacetime models.
Identified minimal conditions for physical description.
Analyzed stability and coarse-grainability in continuum phases.
Stability and coarse-grainability constrain admissible models to specific operator classes.
Found that these conditions favor a Lorentzian signature in the proposed framework.

Abstract

This paper develops a structural admissibility framework for emergent spacetime models, identifying minimal pre-geometric conditions required for physically meaningful description. It shows that stability and coarse-grainability constrain admissible continuum phases to hyperbolic operator classes admitting a single distinguished direction, thereby structurally selecting Lorentzian signature within the specified framework. This work complements: Dynamical Emergence of Lorentzian Spacetime from a Non-Spatiotemporal Substrate (Zenodo DOI: 10.5281/zenodo.18131656.) Exclusion of Multi-Time Signatures and the Uniqueness of Lorentzian Continuum Phases (Zenodo DOI: 10.5281/zenodo.18839675) Together, these works form a programmatic investigation of emergent Lorentzian structure derived from minimal structural principles.

Read Full Paperexternally

KI fragen

Bookmark

View Full Paper