Entropy After the Point: Why Shannon Was Wrong and What the Infinitum Has to Say About It

In 1948, Claude Shannon proposed a formula that became the cornerstone of information theory: entropy as a measure of uncertainty. This formula works brilliantly in engineering applications, but as a fundamental concept it is deeply flawed. Shannon entropy ignores the internal structure of states and the connections between them — it is the entropy of a point‑based world, where the foundation is a structureless atom. In the present work we show that replacing the structureless point with a structural geometric quantum — the Infinitum △₁ₓ₁ (a right isosceles triangle) — leads to a radical rethinking of entropy. In △‑ontology, entropy becomes a measure of deviation from balance, a measure of fractal depth, and, ultimately, a measure of non‑understanding that diminishes as the complex becomes simple and clear. We introduce the concept of intropy — the striving of a system towards an energy minimum, which at the cognitive level is experienced as harmony, joy, and happiness. The fundamental conclusion: everything tends towards happiness — because thermodynamics dictates it.