The n-Index Representation of Universal Frequencies: A Unified Scale Theory

This paper introduces the n-index notation, n = log10(ν), as a unified scale for describing all physical wave phenomena. Instead of repeatedly writing Hz, we represent each process by its exponent index n. Gamma rays (n ≈ 23), visible light (n ≈ 14), sound (n ≈ 3), surface water waves (n ≈ 0), and gravitational waves (n ≈ −8) are mapped onto the same axis. This representation simplifies equations, unifies classifications, and demonstrates that diverse phenomena are complementary manifestations of a single frequency-based framework.