Dimensional Unit
Two phase-locked scalar units forming the first SU(2)-style unit with a shared axis and repeatable closure behavior.
What the term means
A dimensional unit is the ECM unit formed when two scalar units phase-lock. Geometrically the book describes it as two equilateral triangles combined into a rhombus.
This is the first stage where ECM can count in dimensional units rather than only scalar units, because the paired structure creates a shared axis and supports a stable comparison between its halves.
How it relates to the ECM
In ECM, dimensional units explain how the (N − 1) part of the Lie-algebra count begins: the initial interaction that lets scalar units become countable as a higher unit.
The dimensional unit hosts the first Cartan generator. That Cartan axis lets the pair preserve a commuting registry, making higher stacking and generator routing possible.
Why it is important to understand
This term matters because it is the bridge from isolated scalar asymmetry to usable geometry. A scalar unit alone cannot close the needed loop, but two phase-locked scalar units can begin repeatable closure behavior.
Without the dimensional unit, later phrases such as phase lock, Cartan generator, dimensional spin, and electroweak emergence lose their foundation.
Book context
Book anchors: Chapter 1, pages 9–12 define two scalar units combining into one dimensional unit. Chapter 2, pages 48–50 connects dimensional units with phase-locked Cartan axes and dimensional spin.
Read this as ECM vocabulary: it defines how the book uses the term inside its own conservation-first model. The term can overlap with standard physics or mathematics, but this page is explaining the ECM role first so readers do not lose the model-specific meaning.
Related ECM Diagram
This diagram belongs on the Dimensional Unit page because it shows the phase-locked SU(2) pair: two scalar units sharing an axis strongly enough to become the first repeatable composite.
The takeaway is that a dimensional unit begins when a pair can hold a shared axis. That shared axis is what lets ECM move from isolated scalar-unit asymmetry into repeatable closure and Cartan-style registry.