What question did this study set out to answer?

The research aims to link matter with structural continuity deficits through a novel ontological framework.

February 13, 2026Open Access

Matter as Continuity Deficit: A Constitutive Ontology and Scalar Toy Model for Structural Emergence

Key Points

The research aims to link matter with structural continuity deficits through a novel ontological framework.
Developed a continuity-first ontological framework connecting matter to continuity capacity thresholds.
Introduced a minimal scalar field toy model formalizing Anti-Shape as a spatially varying deficit field.
Explored implications for gravitational behavior and dark matter phenomenology.
Proposed a new interpretation of mass and gravity based on continuity deficits.
Identified potential implications for black hole saturation without altering existing dynamical laws.

Abstract

This preprint presents a continuity-first ontological framework in which matter is interpreted as the observable projection of structural continuity deficit (Anti-Shape). The first part develops the constitutive foundation linking matter to continuity capacity thresholds. The second part introduces a minimal scalar field toy model formalizing Anti-Shape as a spatially varying deficit field and explores its implications for gravitational behavior, dark matter phenomenology, and black hole saturation.The framework does not modify established dynamical laws but proposes an ontological reinterpretation of mass, gravity, and structural emergence grounded in continuity primacy.This version combines foundational theory and preliminary mathematical formulation.

Matter as Continuity Deficit: A Constitutive Ontology and Scalar Toy Model for Structural Emergence

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Abstract

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