Chapter 76: Additive Conjectures on the Primorial Tower

The primorial tower provides a natural arena for three of number theory’s deepest unsolved problems: Goldbach’s conjecture, the twin prime conjecture, and the ABC conjecture. the relevant chapter built the spectral toolkit; Chapters – established the bridge discipline. This chapter deploys both to push computational verification, prove structural theorems at primorial levels, and—most importantly—precisely characterize what the τ framework can and cannot say about each conjecture.

The result is a three-gap taxonomy: parity (Goldbach), density (twin primes), structural (ABC). Each gap maps to the same forbidden move: exponential quantification (K4 violation).