Selection of Physical Laws as Informational Attractors Following Spacetime Emergence

02 February 2026, Version 1
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

Given the established existence of a universal critical threshold κc = 2.04 ± 0.05 characterising irreversible informational anchoring, this work identifies the physical mechanism for law selection that necessarily follows. The framework establishes that, beyond spacetime emergence, irreversible anchoring imposes operational constraints determining which physical laws persist. While algorithmic simplicity (Occam’s razor) serves as an epistemological heuristic, physical selection obeys distinct physical criteria: minimisation of informational cost (Landauer’s principle) and maximisation of spectral robustness. We formalise the dual criterion: a physical law persists if CLandauer < Ccrit(κc) and Rspectral > Rmin. Examination of known cases (general relativity, Standard Model) reveals they exhibit high algorithmic complexity yet low informational cost, consistent with observation, through preliminary 1-loop estimates. The framework generates falsifiable predictions testable within 5–15 years. Physical laws emerge not as postulates but as unique attractors of informational stability, requiring neither fine-tuning nor arbitrary landscapes. We explicitly declare methodological limitations and pending derivations.

Keywords

Selection of physical laws
informational cost
spectral robustness
algorithmic complexity
Landauer’s principle
renormalisation group
TAGC-LQG-RG
quantum gravity
physical ontology
falsifiability

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