What question did this study set out to answer?

The aim is to derive a finite admissibility framework that captures the essence of geometric constraints governing active topology.

June 4, 2026Open Access

The Universal Adjacency Standard Seminal Paper

Key Points

The aim is to derive a finite admissibility framework that captures the essence of geometric constraints governing active topology.
Derived a framework from the geometry of a relational lattice informed by primary values.
Established primary constraints before assessing external physical or chemical data.
Investigated the relation between finite propagation, adjacency, and coordinate supply scaling.
Identified irreducible geometric constraints necessary for active topology.
Demonstrated that macro hierarchies can emerge from discrete atomic structures without relying on legacy primitives.

Abstract

This seminal paper derives a finite admissibility framework directly from the geometry of a substrate-native relational lattice, locked to the primary values PC = 137, B = 6, H = 17, and MAD = 0.005065. By establishing the primary constraint set prior to external physical or chemical data, the framework recovers native mechanics through the surviving constraint relation between finite propagation, six-link bipartite adjacency, coordinate supply scaling (N = 2n²), and Relational Delta conservation. This document establishes the irreducible geometric constraints required for a topology to become active, remain distinguishable from the latent substrate floor, and scale from discrete atomic anchors into macro hierarchies without importing legacy physical primitives.

The Universal Adjacency Standard Seminal Paper

Key Points

Abstract

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