Abstract: Waves of all types are described mathematically using partial differential equations. Here, departing from this tradition, I describe waves using a novel system of three simultaneous vector algebraic equations:

which define Maxwellian wave dynamics for any fields

and

that support wave action and

a velocity vector. That is

is a novel reformulation of the Maxwell equations in vacuum. Furthermore, the expressions for the permittivity

, permeability

and the magnetic flux density

, in terms of action

, elementary charge

and speed of light

, are obtained by manipulating

with the assumption that an EM-wave has action and transports charge. As an application of

I show that three dimensional spherical EM-wave structures do exist, in theory at least. They are stationary with finite dimensionality and could provide the basis for describing EM-solitons, which in turn could be used to describe many natural phenomena, including ball lightning among others. Instead of working with fields I reformulate

in terms of flux vectors

and

. Using

I describe rotary waves (propeller-like instead of ripples on a pond) and show that rotary waves could be the basis to describe particles, physically, as solitons in terms of Maxwellian wave dynamics.
Key Words: General Maxwellian Dynamics, Wave equation, Maxwell equations, EM-waves, EM-soliton, Ball lightning, Bimodal waves, Particles as waves
Posted in: 2 Bimodal Waves in Vacuum
Article Reference: 1673
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