What does this research mean for the field?

The Lorentzian signature of spacetime emerges as the unique stable attractor of spectral contraction dynamics on the informational manifold, making it a structural consequence rather than an empirical postulate. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.ESTABLISHES_NEW_DIRECTION.

What question did this study set out to answer?

The aim is to explain the stability of the Lorentzian signature in spacetime metrics as an outcome of spectral dynamics.

May 9, 2026Open Access

Lorentzian Signature as the Stable Informational Valley: Why Spacetime Has the Metric Signature It Does

Key Points

The aim is to explain the stability of the Lorentzian signature in spacetime metrics as an outcome of spectral dynamics.
Proposition based on the framework of spectral contraction dynamics
Utilization of functional renormalization group (FRG) pathway for completion
Framework inherits concepts from previous foundational work
Lorentzian signature is shown to be a stable attractor in the informational manifold
Non-Lorentzian metric deformations decay at rates governed by the spectral gap field

Abstract

Proposition with FRG Pathway: Lorentzian signature is the unique stable attractor of spectral contraction dynamics on the informational manifold. Non-Lorentzian metric deformations decay at rates set by the spectral gap field; Lorentzian signature is the survivor. This addresses why physics is Lorentzian rather than Euclidean or Carrollian as a structural consequence rather than an empirical postulate. Pathway: completion via FRG fixed-point classification (Saueressig 2024 program). Inherits from Paper 0 (axioms A2, A3, A6).

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