What question did this study set out to answer?

The aim is to formalize systems using configuration spaces and examine their structural implications.

March 1, 2026Open Access

The Structural Origin of Reality (SOR)

Key Points

The aim is to formalize systems using configuration spaces and examine their structural implications.
Defines systems as configuration spaces with symmetry actions
Analyzes constraints as subgroup reductions that refine orbits
Establishes an amplification functional for interactions
Describes curvature and aggregation in structural theorems
Identifies universality classes based on constraint exponents
New observable distinctions emerge from subgroup reductions
A trichotomy of universality classes is proposed based on constraints
The framework applies broadly to both theoretical and practical domains

Abstract

The Structural Origin of Reality (SOR) formalises systems as configuration spaces with symmetry actions and shows that every admissible constraint is a strict subgroup reduction producing orbit refinement and new observable distinctions. It defines an amplification functional and establishes structural theorems on interaction, interference, curvature, and aggregation, culminating in a trichotomy of universality classes determined by the extremal constraint exponent. The framework is domain-agnostic, with applications ranging from pattern formation and learning landscapes to constraint networks and epistemic structure. Related resourcesAdditional preprints, theoretical frameworks, and ongoing work by the author are available at:https://murad-ahmadov.github.io/

The Structural Origin of Reality (SOR)

Key Points

Abstract

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