In classical mathematics, the Hodge conjecture is one of the most difficult unsolved problems. It asks: can every "smooth" cohomology class of type (p,p) be represented as a combination of algebraic cycles? ➤ In △-ontology this question does not arise. Because here the primary object is not a point but the Infinitum △₁ₓ₁ — a right isosceles triangle with leg 1 and hypotenuse √2. In this ontology, the Hodge class and the algebraic cycle are defined by the same condition — being a fixed point of the averaging operator η. ➤ Their coincidence is not a theorem but a tautology of the structure. The paper shows that the Hodge conjecture "dissolves" in △-ontology and explains why this is stronger than its proof in classical terms. ➤ Key observation: the Infinitum is proved to be the unique self‑similar object, and all numbers are mosaics of Infinita, so everything related to the Hodge conjecture holds automatically. ➤ The uniqueness of the Infinitum guarantees that no other figure could yield such an automatic coincidence. This is not an arbitrary choice but a structural necessity.
Alexey (KAMAZ) Petrov (Mon,) studied this question.