Building on the exceptional Lie algebra structure identified in Paper I, we report twenty-three operational physics formulas derived from the structural properties of the 14-element G2 generator set and its 28- and 29-symbol extensions to SO(8) and affine SO(8)ˆ. The central result is the geodesic transfer formula U = exp(iΣₖ θₖ Mₖ), where Mₖ are the 14 G2 generators identified in Paper I and θₖ are angles computable from the structure constants of the algebra. This is the Lie group exponential map applied to G2, describing unitary transformations between states via geodesics in the 7-dimensional compact G2 manifold of M-theory compactification. The physical interpretation of this formula as a state-transfer mechanism is left for future work; we note that the recent 2025 Nobel Prize in Physics, awarded to Clarke, Devoret, and Martinis for the discovery of macroscopic quantum mechanical tunneling, demonstrates that macroscopic non-classical state evolution is physically realisable, placing the geodesic transfer formula in a broader class of macroscopic quantum phenomena. Additional formulas include the creation operator identity val(O₉) = 70 (exact); the string ground state T_min = 360 (exact), identifying the minimum physical unit with a complete circular oscillation; the SU(4) dimension identity dim(SU(4)) = 15 emerging from the structural integers of the system; the Einstein factor 8π = 8×(22/7) derived from the algebra-related integers 8 and 22; and global structural identities encoding algebraic and spacetime dimensions in the system parameters. Seven of the 14 operators self-encode their mathematical meaning in their integer valuations. The prime 19 is identified as the 8th prime — indexed by the SO(8) spinor dimension — and as the quantum number scaling several structural counts in the system. The corpus sources for all structural integers cited in this paper are tabulated in the Appendix for independent verification.