A moonshine-symmetry perspective on the Riemann hypothesis

This paper proposes a conceptual framework linking the Riemann Hypothesis (RH) to the symmetry structure of the Monster group and the geometry of Monstrous Moonshine. Building on the established correspondence between the Monster group, modular functions, and the Leech lattice, we explore the possibility that the nontrivial zeros of the Riemann zeta function arise as spectral data of a Monster-invariant system. Within this framework, the critical line emerges as the unique axis compatible with Moonshine symmetry. We formulate a conjectural “Monster No-Go Principle” stating that any zero off the critical line would require a 27th sporadic symmetry or a consistent 27-dimensional bosonic theory — both ruled out by existing mathematics. This is not a proof of RH, but a structural program suggesting that the zeta zeros may be constrained by the deepest symmetry boundary known in mathematics.