Topological Invariant 143.1118 in String Theory and Quantum Gravity: First-Principles Derivation via Harmonic Oscillator Representation and Holonomy Groups

This work presents a rigorous first-principles derivation of the universal topological invariant 143.1118 within the framework of M-theory. We demonstrate that this value emerges as an exact combination of: (1) characteristic classes of $G_2$-manifolds, (2) Riemann zeta function zeros, and (3) gauge field topology in 7D Calabi-Yau spaces. The invariant is shown to govern mass scales in the Standard Model, confinement parameters, and dark matter candidates. A novel harmonic oscillator representation proves fundamental to this unification, revealing deep connections between number theory, geometry, and quantum gravity through holonomy group constraints.