The Infinium and the π, e, φ Formula: A Chain of Forcing in the Theory of Logic and the Resolution of Fundamental Contradictions in Mathematics ( version 2)

We show that the three fundamental mathematical constants — π, e, and φ — are not independent but are united through the structure of the Lie algebra 𝔰𝔲(3) into a single exponential identity. This identity is derived as a necessary consequence of the geometry of the infinium ℑ = △₁,₁ — a right isosceles triangle with legs 1 and hypotenuse √2, which is the terminal object in the cognitive topos ℰ. In the language of the theory of logic, the statement acquires the status of a structural truth forced by the very nature of the infinium: ℑ ⊩ (π, e, φ are unified through SU(3)). Incidentally, it is demonstrated that this approach resolves a whole series of fundamental contradictions in the foundations of mathematics and physics, replacing the structureless point with a structural quantum and opening a path to a unified theory.