Gate–Gate Interaction Algebra

Gate–Gate Interaction Algebra develops the second-order algebra governing interactions between the six operational gates in near-critical systems. The paper proves that while each gate is admissible in isolation, simultaneous activation produces mixed terms in the spectral expansion that scale quadratically with gate intensity and curvature. These mixed terms destabilize thin margins, amplify drift pressure, and break basin invariance. The algebra classifies all pairwise and higher-order gate interactions, showing which combinations are forbidden, which are conditionally admissible, and which collapse into instability. This establishes a complete operator-level account of multi-gate interference inside the Einsteinian Stack.