Applied ITT — The Dimensional Arithmetic: Wave Superposition and Scalar Addition Are Different Operations Armstrong Knight — intent-tensor-theory.com — 2026 When two numbers are encoded as wave frequencies and superposed, the dominant frequency in the result is the lower fundamental — not the arithmetic sum. When two wave frequencies are multiplied (modulated), the result is the sideband frequency — not the arithmetic product. This is not a failed arithmetic engine. It is a demonstration of the Dimensional Plane Error (T4-19): scalar arithmetic is a 0D operation, while wave superposition is a 1D operation. Operating in different dimensional planes produces different answers to the same numeric inputs. This paper runs the computation and reports exact verified results: addition accuracy 0/6 = 0%, multiplication accuracy 0/6 = 0%, both exactly as expected from the physics. The wave system correctly computes spectral interference; it does not compute arithmetic because arithmetic is not a wave operation. The paper draws the precise lesson: the Dimensional Plane Error is real, measurable, and reproducible in ten lines of Python. This is not a claim that wave operations should replace arithmetic — it is a proof that the dimensional plane determines the answer.
Armstrong Knight (Fri,) studied this question.