What does this research mean for the field?

Geometric Security eliminates broad classes of vulnerabilities, including buffer overflows and unauthorized data exfiltration, by enforcing data I/O through a fixed-size relational Filter and restricting state transitions to six computational primitives. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

The aim is to present a security model that uses geometric constraints to ensure structural integrity in computing environments.

February 19, 2026Open Access

Geometric Security

Key Points

The aim is to present a security model that uses geometric constraints to ensure structural integrity in computing environments.
Developed a monotonic processing funnel within a single-address-space environment
Restricted state transitions to a closed set of six computational primitives
Implemented a fixed-size relational filter for data I/O
Eliminated vulnerabilities such as buffer overflows and privilege escalation
Prevented unauthorized data exfiltration effectively

Abstract

Geometric Security Structural Security via Geometric Constraints This paper describes a security model based on **Geometric Constraints**, implemented as a monotonic processing funnel within a single-address-space environment. Unlike conventional security models that rely on discretionary or mandatory access control policies applied to arbitrary execution, Geometric Security derives integrity from **anatomical limitation**. By restricting all state transitions to a closed set of six computational primitives and enforcing data I/O through a fixed-size relational Filter, the architecture eliminates broad classes of vulnerabilities including buffer overflows, privilege escalation, and unauthorized data exfiltration. Package Contents:* `manuscript.md`: Paper* `README.md`: Overview **Status:** Architectural Blueprint for Independent Implementation

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