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is the online companion to a series of books published by AIUT under the common main title
"Physics of My Imaginary Space-Time" by Henryk Dot.

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Physics 3 - Maxwell
Note from the Author
Table of Contents
What is this book
Historical facts
New aspects
Fully erroneous
Incorrectly interpreted

Physics 3 - Chapter 1
Equations
Complex vectors form
The Most General form
The General Solution

Physics 3 - Chapter 2
Solutions
Initial conditions
Non-homogeneous equation
Solution for three-directions
The four laws

Physics 3 - Supplement
Fermat's proof
Beal's conjecture
Pythagorean triples
Inertial mass
Gravity constans big G
What does the Moon look at?

Physics 3 - Final notes
Final notes

Physics 4 - New book
Entry

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Second Edition of "Fizyka 3"
ISBN 978-83-926856-1-6
Fizyka

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English edition of "Physics"
ISBN 978-83-926856-2-3
Fizyka

is also in libraries
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1.4. Application of complex notation allows for the most general form of equations Since we already know the principle and reasoning of applying complex variables to fields E and B we can apply a and b coefficients from formulas (1.23) i (1.24) to all equations (1.6 – 1.9). We assume the coefficients and b=i which results for sum of (1.6) and (1.7) in: . For (1.8) i (1.9), we divide first (1.9) by c²
.	(1.27)
The sum of (1.8) with coefficient and (1.27) with coefficient i is equal to: , therefore
.	(1.28)
We can see that by using the same coefficients and b=i, which were used in (1.24) for , following complex variables can be created for general sources:
	(1.29)
	(1.30)
and consequently, we can express Maxwell’s equations in shorter form:
,	(1.31)
.	(1.32)
We have assigned the subscript t to variable J⃗ _t thus designating variable J⃗ without a subscript for even more general expression by introducing time variable τ=c∙t, therefore (1.32) can be written as:
, where	(1.33)
This equation together with (1.31) present the shortest form of Maxwell’s equations and reduces sizes of resulting equations in subsequent operations. . 1.5. Even More General Notation of Equations It seems like, there is no simpler notation of Maxwell’s equation than shown in (1.33). Perhaps simpler notation does not exist but further generalization is possible due to two possible versions of equations (similarly to 1.25 and 1.26) for two (left or right handed) coordinate systems. Therefore, equation below
	(1.34)
represents Maxwell’s equations as well, so both versions, (1.33) and (1.34) should be always presented. However, both versions can be written in one equation when we square both sides of equations which yields: , therefore
	(1.35)
This is interesting expression, and perhaps can inspire some philosophical reflections on the essence of Maxwell’s equations. It can be noted that represents static, while dynamic phenomena. Expression (1.35) includes both possible versions (1.33) and (1.34) thus represents the highest degree of generalization. It should be remembered that variable P⃗ for (1.33) is expressed by , while for (1.34) is expressed by . In search for solutions of Maxwell’s equations it is sufficient to consider only one of the versions. Therefore, in later chapters we will deal only with version (1.33).