• http://www.ee.surrey.ac.uk/Personal/D.Jefferies/transmission.html
• http://emlib.jpl.nasa.gov/EMLIB/files.html

Quaternions for electromagnetic equations:

Note from George Bugh: Maxwell's original formulas for electromagnetism were done using quaternions and only later Oliver Heaviside created an overly condensed, pasterized and simplifed version in the form of the 4 partial differential equations people use now.

There is a fundamental problem with Heavyside's version in that they can no longer readily represent matter and energy's motion through time in any direction other than what we imagine is the forward direction (or its opposite) that we imagine all energy to flow in. There is the possibility that motion through time is better represented in 3 directions related to the 3 dimensions of space. Please see here for more details about how energy flows through time. https://www.vasantcorporation.com/nature_of_time.php

Mathematicians have historically wrongly presumed that when they end up with negative and even imaginary directions in time that their equations must not represent real world possibilities and then they abondon or alter their equations for different math. This is a mistake.

In order to represent energy moving in other "phases" in spacetime or transitioning from our phase in spacetime to some other phase, it may be more easily done with quanternions. There have been many witnesses of UFOs that are either partially transparent or that dissappear completely. They are seeing the effects of moving matter from one phase in spacetime to another.

These other phases are not totally devoid of matter except for the UFO that transitions to and from these other phases. There are other things there already just as there are lots of things here in our phase of spacetime.

https://en.wikipedia.org/wiki/History_of_Maxwell%27s_equations

https://en.wikipedia.org/wiki/Maxwell%27s_equations

Quaternion math may also be useful at representing gravitational force as coming from magnetic fields that toggle direction at microwave frequencies but that have their electric field components almost completely cancelled out. Please watch these Youtube videos about gravity lest the previous sentence will sound like gibberish.

https://www.vasantcorporation.com/gravity_videos.php

Quaternion links:

https://www.askamathematician.com/2012/06/q-what-would-the-universe-be-like-with-additional-temporal-dimensions/

https://www.science20.com/standup_physicist/blog/deriving_maxwell_source_equations_using_quaternions_25-82785

https://www.allaboutcircuits.com/technical-articles/dont-get-lost-in-deep-space-understanding-quaternions/

https://en.wikipedia.org/wiki/Classical_Hamiltonian_quaternions

https://en.wikipedia.org/wiki/Quaternion

Home  |  Publications  |  Articles  |  News  |  Links  |  Products  |  Downloads  |  About Us