The Pal-Riemann Law of Universal Stability: A Fundamental Equation for Manifold Coherence and the Solution to the Riemann Hypothesis
Abstract
We formally propose the Pal-Riemann Law of Universal Stability, which identifies the Riemann Hypothesis (RH) as the fundamental stability equation of the physical universe. Now we shall discuss about the soul of everything we discussed earlier. By defining the Pal-Riemann Manifold as a discrete computational spacetime lattice, we demonstrate that the stability of a 4D Lorentzian manifold is contingent upon its vacuum energy eigenvalues being purely real. This condition is met if and only if the real part of every non-trivial zero of the Riemann Zeta function is exactly 1/2. This law is validated through multi-scale empirical evidence, ranging from nanoscale semiconductor logic to interstellar dynamics.
Fields of Study & Subjects
Analytic Number Theory Research
Advanced Mathematical Theories and Applications
Advanced Mathematical Theories
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 5 February 2026
- Document type
- Preprint