△-Keys to Reality: Why Physical Constants Run into the Geometry of the Right Isosceles Triangle

This essay is an interdisciplinary study proposing that the so-called “mysterious” constants (√2, 1/2, 4/3) arising in the foundations of physical theories are not accidental artifacts of the mathematical apparatus. Within the △-paradigm (RIT — Right Isosceles Triangle), it is shown that these numbers are direct projections of a fundamental discrete geometry of spacetime — a structure generated by the elementary Right Isosceles Triangle (△₁×₁). The text deepens the analysis of Lorentz transformations, electromagnetic mass, and the time dilation factor, and introduces new analogies from quantum mechanics, information theory, and crystallography, confirming the geometric nature of the apparent “infinities” and inconsistencies.