Creativity:Truth is Beauty and Beauty is Truth

Truth is Beauty and Beauty is Truth.

This phrase is my key to Creativity. My approach to creative discovery is to follow the mathematics. Galileo said the Book of the Universe is written in the language of mathematics

When I create something, from Math and Physics to Religion, it is a search for Beauty. For example, Maxwell’s Equations, the most famous equations in science, I found to be not symmetric and not Beautiful. This observation led me to investigate where these equations came from and led me to William Rowan Hamilton’s Quaternion Mathematics. Hamilton had developed Quaternions as a means to rotate mathematically a line in space. In the process he invented the concept of vectors.. He started with three vectors:

I, J and K

paralleling space directions. He worked with these for 15 years without success, Then he found that he needed to add a scalar number 1 to make the rotation work.

Quaternion = 1 + I + J + K

The three vectors and one scalar (real number) created Quaternions, a four dimensional space. This was a correct four dimensional space, 60 years before Einstein’s Relativity Theory.


Maxwell used Hamilton’s Quaternion vectors for his equations and went on to make the greatest prediction in the history of science, that Light is a form of Electricity.

Hamilton also invented vector calculus creating a three dimensional vector derivative,

Del= Id/dx + Jd/dy + Kd/dz

Hamilton‘s Vector Derivative, was mathematically incomplete being only a vector not a Quaternion Derivative. I added a scalar derivative to create a Quaternion Derivative:

X= d/dr +Del= d/dr + Id/dx + Jd/dy + Kd/dz = d/cdt + Del

This is a simple addition but with this I can derive mathematically, Maxwell’s Equation as a simple Quaternion Derivative:

0 = XE = (d/dr + Del) (Es + Ev) = (dEs/dr - Del.Ev) + ( dEv/dr + Del Es + DelxEv)

Maxwell’s Equations are written as four Equations involving two scalar fields and two vector fields. The Quaternions contain both the scalar and a the vector field. That is what Hamilton discovered , that mathematics and Nature require both a scalar and a vector field in general. In addition, Maxwell’s Equations has two different fields (E and B)where Quaternions show that the only one field is present. The difference is that in Maxwell's time there was no idea of Four dimensional space. Space and time were separate and the time derivative and space derivative are called different names, Electric fields and Magnetic fields. The reason there is always an electric field accompanying the magnetic field is because there is only one field.


Many years later I was looking for a way to present the reality of Quaternions in science. I looked to the Heavens where Hubble's pictures are Beautiful. Hubble's Redshift is the foundation of the Expanding Universe. Hubble himself, did not believe that his Redshift indicated an expanding Universe. Hubble believed the Redshift is “an hitherto unknown principle of Nature”. Hubble was right.

Investigating Newton’s and Einstein’s Gravity Theories, and applying Quaternions to Newton‘s Law of Gravity, the Universe is stable not expanding. Hubble is correct.. I derived mathematically the redshift. The Redshift indicates the balance force to the gravity contraction, needing No "Dark Energy, or No Cosmological Constant".

Space is not curved as Einstein's General Relativity Theory holds, Light is attracted by Gravity and Einstein's Deflection is Newtonian,

Tan deflection= y/Rs = .5gt^2/Rs = .5gRs/c^2 = 8.1666E-6 and deflection = 1.68'

Simplicity is another mark of Beauty!

Truth is Beauty and Beauty is Truth!

Nuff said.