We present the function g (b), a deterministic algebraic mapping that defines the stability of the nucleon. By utilizing the 2⁰ identity, the function demonstrates that the Neutron (charge b=0) is the result of a recursive cancellation between its internal bit-structure and the Proton (charge a=1) state. This provides a formal proof that subatomic particles are self-correcting registers in a trivalent vacuum base. This framework establishes a direct, non-probabilistic mapping between fractional quark charges and whole-number nucleonic parity. By utilizing the 2⁰ identity, we demonstrate that the uud and udd configurations are not merely experimental observations, but Algebraic Necessities of a trivalent bitstack. The probability of structural error is minimized by the adherence to integer arithmetic within the g (b) function. The algebraic expansion of the function g (b) is presented as an Axiomatic Proof, independent of external empirical citations.
Gustavo Schevchenco-Sczepanink (Wed,) studied this question.