What question did this study set out to answer?

The aim is to establish a constraint-based discrete framework that connects gauge theory with gravitation through a single principle.

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 establish a constraint-based discrete framework that connects gauge theory with gravitation through a single principle.
Develops a discrete framework based on local inconsistency reduction under an ℓ¹ coboundary norm.
Constructs a sequence of structures from a minimal discrete configuration.
Incorporates topology, Fourier representation, and specific transport operators.
Defines unique operator and symmetry structures based on locality, symmetry, and minimality conditions.
Reproduces features linked with the Standard Model gauge group SU(3) × SU(2) × U(1).
Provides a geometric interpretation of curvature through Regge defects.
Emerges a hierarchy of effective descriptions via norm transitions (ℓ¹ to ℓ∞).
Identifies fermion masses and cosmological parameters as open problems.

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Implication

This work develops a discrete framework that explores structure in gauge theory and gravity, suggesting new paths for understanding physical theories.

Cite This Study

JEREMY H. CARROLL (2026) studied this question.

synapsesocial.com/papers/69c37adcb34aaaeb1a67cc52 https://doi.org/10.5281/zenodo.19182411

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Implication

This work develops a discrete framework that explores structure in gauge theory and gravity, suggesting new paths for understanding physical theories.

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

Key Points

Discussion

Implication

Cite This Study

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

Key Points

Discussion

Implication

Cite This Study

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