The Riemann Hypothesis as Projection-Induced Criticality

This manuscript presents a conceptual analysis of the Riemann Hypothesis from the perspective of projection-induced criticality. Rather than attempting to prove or disprove the hypothesis, the paper examines why the critical line Re(s)=1/2 emerges as a structural residue when discrete arithmetic objects are projected into a continuous analytic framework via the Riemann zeta function. The work argues that the persistence of the critical line reflects an inherent mismatch between discrete and continuous representations, and that this mismatch cannot be fully resolved within fixed number-theoretic frameworks alone. This manuscript is currently under review at Foundations of Physics.