Gauge games in a unified field theory

This talk discusses gauge games, the kinds of properties an action must have so that particles traveling at the speed of light c can interact with massive particles. This is done in the standard model via the Higgs mechanism. I describe a collection of variations on the Maxwell action that together make up my unified field theory hypothesis. Quaternions are used in the Maxwell action which is identical to the standard approach using tensors. The quaternions can be written to represent the groups of the standard model, U(1), SU(2), and SU(3). By using hypercomplex multiplication rules, field equations consistent with Newton's law and special relativity can be derived using the Euler-Lagrange equations. The method for making all these actions invariant under a gauge transformation is the same: subtract it away. One can therefore take the EM density which is not symmetric under a gauge transformation, then subtract away the gravity density which likewise is not symmetric, but the result is symmetric. This is achieved without using the Higgs mechanism. I predict the LHC will not detect the Higgs particle. The field equations for the unified GEM hypothesis look like Newton's second law: the charge density equals the second time derivative of the scalar field.

Category:

Science & Technology

Tags:

• gauge
• transformations
• unified
• field
• theory
• quaternions
• Higgs
• LHC

[davepamn]

You seem to have proved that symmetry and conservation of charge particles works. Did you disprove the higgs field and the boson mass emergence?

[sweetser]

@davepamn The theory is getting hammered on the blog Science20. I presumed local gauge symmetry, but was unable to show it. I have to see if I can come up with a new approach that makes clearer statements about technical issues. Right now, I have nothing. Theoretical physics is harsh!

[sweetser]

@davepamn I have not been able to push my work into cosmology yet. I have not become a convert to cellular automata. Will have to see what the future brings.

[davepamn]

The big bang would need to step down and an uniform expansion of the Universe from an infinite source would need to replace the theory.

[davepamn]

I agree with you that the Higgs field does not seem to explain the distribution of matter in the universe, unless you believe the higgs fields are distributed using a cellular automata algorithm, CA. Suppose a simple CA can be used to explain the symetery and distribution of matter than you have the problem of an "infinite source" for the higgs field. All the other forces have a finite source. If one accepts and infinite source than there is no end to matter and energy in the Universe.

[sweetser]

@TheStringtheorysucks I work with these numbers on a particular "support", a fancy way of saying particular numbers are excluded. The inverse of the hypercomplex/Study/Klein 4-group has as its divisor the product of 4 Eigenvalues of the 4x4 matrix representation. So long as NONE of those eigenvalues are zero, then an inverse will necessarily exist. "True" division algebras exclude all of one set of values, where all = 0. The excluded set for hypercomplex numbers is well defined. I like em :-)

[TheStringtheorysucks]

Hi Doug,

Thanks for replying. I'm reading "Clifford Algebras and Spinors" by Lounesto. Study numbers are mentioned on page 24. It also has a chapter on quaternions . It's a great textbook too - with problems and solutions. Check it out !

It's like a complex number , say, a + j B but with j^2 = 1 , not -1. We could define a Study number-like quantity a 0 + j a1 + k a2 + l a3 where j,k,l are Study numbers. However, there are some problems as this won't be a true division algebra.

[sweetser]

@TheStringtheorysucks I did a Google search, but all I got was numerology and Biblical crap. I dusted off EDM2, the Encyclopedic Dictionary of Mathematics, but "study numbers" was not in the index. Do you have a reference?

Thanks,

Doug

[TheStringtheorysucks]

Doug,

i think what you're calling hypercomplex numbers are also called Study numbers.