Classical measure theory, grounded in the Cartesian primacy of squares and cubes, has reached a conceptual dead end, mistaking an outdated geometric convenience for a fundamental truth. This manifesto declares the obsolescence of the Lebesgue paradigm and launches a full-scale mathematical revolution. We introduce the △-measure, built upon the universal base unit △₁ₓ₁—the right isosceles triangle. This shift from a rectangular to a simplicial foundation is not an evolution but a radical break. We demonstrate that the Lebesgue measure and integral are merely special, obfuscated cases of our △-system, which proves to be more universal, constructive, and computationally native. The work traces the devastating consequences of this paradigm shift, from the collapse of non-measurable sets and a purely geometric reinterpretation of probability, derivatives, and the Pythagorean theorem, to the revelation that modern GPUs have already been secret △-processors all along. We outline a plan for seizing key intellectual heights across physics, machine learning, cryptography, genomics, and education, replacing abstract symbolic rituals with visual, constructive geometric thinking. This paper is a philosophical and tactical guide for the △-Army, providing a new language for reality itself, where God does not play dice, but triangulates.
Alexey (KAMAZ) Petrov (Fri,) studied this question.