Applied ITT - Letter-Operator Theory: A Complete Mathematical Algebra for the Phoneme-to-Field Transformation

Applied ITT - Letter-Operator Theory: A Complete Mathematical Algebra for the Phoneme-to-Field Transformation Armstrong Knight (Sensei Intent Tensor) - intent-tensor-theory. com We define a complete non-commutative operator algebra in which each of the 26 letters of the Latin alphabet acts as a specific mathematical transformation TL on the ITT Allen-Cahn semantic field. The composition of these operators along a word string produces a unique field geometry — the word's meaning is the fixed point of that geometry, not a dictionary lookup. We derive each operator from the articulatory physics of its phoneme, grounding the theory in the confirmed science of sound symbolism and phonesthemes. We prove that word processing converges to a unique fixed point by Banach's theorem (same proof as WP-02), and that the non-commutativity of the algebra is a mathematical necessity — not a choice — because language order matters. Running implementation: intent-tensor-theory. com/applied-itt