The Brain as the Densest Low-Resistance Pathway Network: Theorem Two from the Physical Derivation for Carbon-Based Life

This paper is Theorem Two—an independent verification of the physical derivation for carbon-based life on the brain. Proceeding from the second law of thermodynamics and Ohm's law, it independently derives the brain as the densest low-resistance pathway network that must emerge under sustained charge flow, and derives all its core attributes—distributed architecture, hijackability, extreme fragility, sleep as engineering necessity, prediction as passive circuit behavior. These deductions agree with nine known observational facts. This paper forms a symmetric pair with Theorem One (the heart as the geometrically predetermined dissipation center): the brain is the contingency catcher (pioneering the upper bound of evolution), the heart is the contingency shield (locking the lower bound). Core axioms are stated in [link to core preprint].