Closed Surface Wave Theory: Phase Rotation in Longitudinal and Transverse Waves, and Observed Wavelength as Dyadic Antenna Lengths

This work advances Closed Surface Wave Theory by unifying the understanding of diverse wave phenomena—space waves, matter waves, longitudinal and transverse modes, light, and sound—within a single geometric and spectral framework. It presents three core propositions: (1) longitudinal and transverse waves differ only in the quantitative detectability of their quadrature phase components, (2) observed wavelengths correspond to resonant antenna lengths in a dyadic sequence derived from the electron’s maximal oscillation frequency (Compton scale), and (3) space and matter waves are physically the same, with variations in propagation speed arising from Lorentz-type projection effects of molecular geometry. The paper argues that conventional distinctions between wave types are pragmatic classifications for observation and measurement, not reflections of fundamentally different physical mechanisms. This unified approach opens pathways for experimental detection of hidden quadrature components, mapping material structures via propagation speed, and designing resonant systems tuned to specific dyadic fractions of the electron’s maximal oscillation frequency.