Harmonics as Physics Scalars

No matter type of rate we work with in Physics, we always place a harmonic in product with a unitary dimension or constant (critical dimension) of continuum with the critical dimension of frequency. That is for the unitary measure of the ‘moment’ or for once instance or one presentation, 1 Hz.

To express the measure of the moment, with the same harmonic as wavelength, invoking its inverse, period is the simplest method. For instance f * λ is best λ / T when frequency has been used instead of product of the harmonic, evolved constant with wavelength.

Eg. 1

In the example of sound in an arbitrary material, frequency is use instead of only wavelength

f [c] = 1 Hz

λ [c] = Pi rad

Frequency, f = 10 ^ 3 Hz

Wavelength, λ = (22/7) * 10 ^ 3 rad

Velocity, f * λ = λ / T

= (22/7) * 10 ^ 6 m/s

Harmonic, n = (22/7) * 10 ^ 6 m/s / ( f [c] * λ [c] )

= (22/7) * 10 ^ 6 m/s / (1 Hz * Pi rad )

= (22/7) * 10 ^ 6 m/s) / (Pi rad / s )

~ 10 ^ 6 m (no error in the unit of m)

What Physics understood as linear expansion or linear dimensional evolution is to be properly considered dimensional revolution. The unitary dimension is to be considered dimensional rotation. The harmonic units of revolution is metres, m. The harmonic units of rotation is Radians, rad. It is exhibited in the example above. In calculation always consider if you are working rotation or revolution. There should be no unitless quantities in Physics, in any example.

Angles are measured in Radians (rad) while scalars or harmonics are measured in metres, m.

Modern physics would better express harmonics in Radians (rad), rather than metres (m) for more coherence of unit to unit compatibility when working with waves and harmonic motion.

© Xerqon Sydney Matinga 2026