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The aim is to create a discrete framework that connects gauge theory, quantum structure, and gravitation through constraints.

March 25, 2026Open Access

Scaling Limits of an ℓ¹ Causal Lattice: A Structural Framework for Gauge Theory and Gravity

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The aim is to create a discrete framework that connects gauge theory, quantum structure, and gravitation through constraints.
Developed a constraint-based discrete framework starting from a minimal configuration.
Generated a sequence of structures including 2-simplex topology and Fourier representation.
Established locality and symmetry conditions to determine operator and symmetry structures.
Reproduced key features of the Standard Model gauge group SU(3) × SU(2) × U(1).
Provided a discrete geometric interpretation of curvature using Regge defects.
Identified a hierarchy of effective descriptions emerging from norm transitions.

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This work develops a structural framework exploring gauge theory and gravity in discrete systems, suggesting new consistency requirements.

JEREMY H. CARROLL (2026) studied this question.

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This work develops a structural framework exploring gauge theory and gravity in discrete systems, suggesting new consistency requirements.