What have electrons, black holes and Clifford Algebra ever done for us?

  How the Riemann Hypothesis emerges as the unitarity condition for holographic RG flow   1. The Two Physical Anchors The argument rests on two facts that are not assumptions but theorems of physics. The first is the Planck luminosity bound . In classical General Relativity, the maximum rate at which energy can be transported across any surface is: $$P_{\max} = \frac{c^5}{2G}$$ In a de Sitter universe of radius $R$, the Hawking-Gibbons temperature is $T_{\text{dS}} = \hbar c / 2\pi R$. The entropy production rate cannot exceed $P_{\max}/T_{\text{dS}}$, which means the information scrambling rate — measured by the Lyapunov exponent $\lambda_L$ governing the growth of out-of-time-order correlators — is strictly bounded. This is the Maldacena-Shenker-Stanford theorem (2016): $$\lambda_L \leq \frac{2\pi T_{\text{dS}}}{\hbar} = \frac{c}{R}$$ The vacuum, in this framework, is a maximally chaotic system operating at precisely this ceiling. The second anchor defines the r...