Different fields of physics all point to the same floor of reality, proving that the Planck scale is not just a guess.
The Planck scale is the smallest possible size in the universe, but many thought it was just a convenient theoretical number. By inverting 21 different equations that usually result in infinite blow-ups, researchers found they all hit a wall at the same spot. Over 80% of these equations converged on Planck units without those numbers being programmed in beforehand. This proves that the universe has a hard physical limit on how small things can get. It provides a solid foundation for building a theory that finally combines gravity and quantum mechanics.
Empirical Convergence of Lower Bounds from Singular Physical Relations Near the Planck Scale
SSRN · 6602139
Every singularity in physics arises from a single mathematical structure: f(x) = C/xⁿ, which diverges as x → 0. This paper identifies twenty-one such equations drawn from seven domains-general relativity, quantum mechanics, special relativity, electromagnetism, thermodynamics, information theory, and fluid mechanics-all of which are experimentally confirmed. Each equation is inverted under a single physical constraint: the output must remain finite, as no infinite physical quantity has ever been