Major–Minor Polarity as a Coordination Operator of Space–Time

This paper proposes a structural interpretation of major–minor polarity in musical harmony as a coordination operator for space–time organization. Rather than treating harmony as a metaphor, the work introduces a normalized coordination operator 𝒞 = (S, T), where space-like (simultaneity-dominant) and time-like (directionality-dominant) components are redistributed under an invariant constraint. It is shown that harmonic systems naturally realize a discrete coordination spectrum 4+0 → 0+4, isomorphic to space–time coordination modes. Major harmony corresponds to space-like stabilization, minor harmony to time-like organization with directional memory, while modal and rhythmic regimes occupy intermediate and limiting cases. The framework integrates with the metaformal invariant triple (c, ℏ, G) and admits a quark–antiquark interpretation of major–minor pairing as phase-inverted but structurally conserved entities. Silence (0) is treated as a meta-space prerequisite for coordination rather than an absence. The construction provides a compact, non-geometric model for space–time emergence applicable across physics, mathematics, and complex self-organizing systems, and serves as a conceptual bridge toward a metaformal formulation of physical field theories.