Odd, Even & Whole Number Schumann Point Triads of a Relativistic
Radiation Pattern

There are different numerical models, such as the transmission-line
matrix model or partially uniform knee model used to predict Schumann
radiation. This report introduces a new method build on the previously
stated idea of locating Schumann resonances on a single particle’s
radiation pattern using a Golden ratio and their Octave relationship. In
addition, this different prediction method for Schumann resonances
derived from the first principle fundamental physics combining both
particle radiation patterns and the mathematical concept of the Golden
ratio spiral that expands at the rate of Golden ratio. Previous idea of
octaves allows us to predict the magnitude of other Schumann resonances
on the radiation pattern of a single accelerated charged particle
conveniently by knowing the value of initial Schumann resonant
frequency. In addition, it also allows us to find and match Schumann
resonances that are on the same radiation lobe. Furthermore, it is
important to find Schumann octaves as they propagate in the same
direction and have a higher likelihood of wave interference. This
contribution, introduces another property of Schumann resonant points on
a relativistic radiation pattern that enables to predict the direction
of the remaining Schumann resonant frequency points that are not Octave
pairs. Previously, Schumann Octaves were introduced as a method to
predict which Schumann resonant points exist on same radiation lobe,
hence propagate in the same direction. This method of Triads is an
additional method to Octaves in order to predict propagation direction
of all Schumann points besides Octave pairs. Count of Schumann resonant
frequency points starts with one as the first and minimum frequency
Schumann point on a Golden ratio spiral. Count of Schumann resonant
frequency points goes up to seven with increasing radius of Golden ratio
spiral. Hence, the odd triad consists of Schumann resonant points 1, 3
and 5. Whereas, even triad consists of Schumann resonant points 2,4 and
6. First point in the triad is called “root” and final point is called
“third”. Root and the third are always Octave apart from each other.
Hence, exist on same radiation lobe and propagate in the same direction.
Odd number triads distribute vertically and even number triads
distribute horizontally on a relativistic radiation pattern plot. Hence,
this causes Octave value of an odd triad to be bigger than the Octave
value of even triad. There are three Octave pairs and odd triad is the
one with the highest Octave value. Triads together with Octaves helps to
predict magnitude and direction of Schumann resonant points without
needing to refer to a radiation pattern plot.