Artian Geometry's Door: The Fine-Structure Constant

The fine-structure constant is the number that governs how strongly electric charge talks to

light. For a century, it has sat in physics textbooks with a measured value, a recipe in terms

of four other constants, and no derivation of its own. Generations of theorists have tried to

find one and have not. The question is honest and long open.

This paper does not announce that the answer has been found. It proposes, more modestly,

that the question has a different shape than the textbook recipe suggests. In Quantum Traction

Theory, the electromagnetic coupling is not a free parameter inserted into a continuum field

theory. It is the finite access cost of opening the photon’s door — a door whose hinges,

threshold, and frame are shaped by Artian Geometry. The fine-structure constant, read this

way, is the first place where the discrete substrate of QTT meets the continuum world of

laboratory electromagnetism.

We treat α as the simplest doorway: the place where Artian Geometry first shows up as a

number we can measure. Heavier electromagnetic structures — the Rydberg constant, the

vacuum impedance, ε0 and µ0 in SI units, the QED single-kernel observables — are built up

from this same doorway. If the door is real, those build-ups should land in their right places

without retuning. This paper presents the door; subsequent papers in the corpus test the

build-ups.