Archive for January, 2011
Saturday, January 29th, 2011
Feed: Dr. Myron Evans
Posted on: Saturday, January 29, 2011 12:56 AM
Author: metric345
Subject: The ECE Fermion Field
UFT 173 will develop the fermion field equation as distinct from the single particle fermion equation, in itself a powerful new equation of physics. In a standard text such as “Quantum Field Theory” by Lewis Ryder (Cambridge Univ. Press, 1996, 2nd ed.), pp. 137 ff. the modern way of dealing with antiparticles is described. The fermion equation has the great advantage of removing negative energy. What has to be done now is to recognize that the ECE fermion field is a quantum field and is an operator of quantum mechanics. This is the procedure known as “second quantization”. It has been applied to the Dirac field for many years, but suddenly we know that the Dirac field is obsolete, it uses 4 x 4 matrices whereas the 2 x 2 Pauli matrices of the fermion equation are sufficient and preferred by Ockham’s Razor (the simpler theory is always chosen in physics and the natural sciences, and indeed the whole of philosophy). One questions now whether the Dirac equation had any advantages, because the spin half of the electron can be described by Pauli matrices; the Lande (g = 2) factor by the Schroedinger Pauli equation, and the Thomas factor by other methods. Dirac also made the major error of using the wrong gamma matrices, producing a “negative energy” that has caused endless confusion. Our lecturers at undergraduate certainly had no idea what the Dirac sea was and I suspect that no one ever did, least of all Paul Dirac himself. Having written this I suppose that the advantage of Dirac is its ability to pull things together, but now the ECE fermion equation can do all that in a simpler and much more powerful way. This is why a monograph on the fermion equation is timely. First I give the open source material as usual and then order it for a book at a later stage.

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Thursday, January 27th, 2011
Feed: Dr. Myron Evans
Posted on: Wednesday, January 26, 2011 5:49 AM
Author: metric345
Subject: Mirror Image Pauli Matrices of the Fermion Equation
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Monday, January 24th, 2011
Feed: Dr. Myron Evans
Posted on: Monday, January 24, 2011 7:11 AM
Author: metric345
Subject: Probability Current of the Fermion Equation
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Sunday, January 23rd, 2011
Feed: Dr. Myron Evans
Posted on: Saturday, January 22, 2011 10:51 AM
Author: metric345
Subject: Derivation of g = 2 without the Dirac Equation
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Sunday, January 23rd, 2011
Feed: Dr. Myron Evans
Posted on: Saturday, January 22, 2011 5:21 AM
Author: metric345
Subject: 172(6): Derivation of the g Factor of the Electron from ECE Fermion Eq.
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Sunday, January 23rd, 2011
Feed: Dr. Myron Evans
Posted on: Sunday, January 23, 2011 5:19 AM
Author: metric345
Subject: 172(7): The Lande or g = 2 Factor from the Schroedinger Pauli Equation
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Saturday, January 22nd, 2011
Feed: Dr. Myron Evans
Posted on: Friday, January 21, 2011 12:07 AM
Author: metric345
Subject: Simple Solutions of the ECE Fermion Equation
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Monday, January 17th, 2011
Feed: Dr. Myron Evans
Posted on: Monday, January 17, 2011 6:55 AM
Author: metric345
Subject: Erratum : Eq. (16) of Note 172(1)
It should be :
c (p squared) power half = c modulus p bold = (E squared – m squared c fourth) power half
which is the Einstein energy equation with POSITIVE root (no negative energy). The Einstein energy equation of special relativity is a restatement of the relativistic momentum (p = gamma mv) and is
E squared = p squared c squared + m squared c fourth
or
p sup mu p sub mu = (mc) squared
Dirac was once interviewed and asked whether the general public would understand relativistic quantum mechanics, and he said: “No”. When asked why he did not predict the positron he answered “pure cowardice” (this is another standard model myth, the positron was predicted by Oppenheimer after some remarks by Weyl. Dirac had done all the dogwork however and played it safe when he predicted the proton as the antiparticle of the electron. Understandable in view of the way some people dislike new thought and knee jerk to ad hominem attacks). Even a Lucasian Professor does not like that, and come to think of it, neither does a Civil List Scientist. My colleague Grigolini met Dirac when he was an old man in Tallahassee, Florida. More accurately he saw him studying in the library but was too shy to talk to him.

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Monday, January 17th, 2011
Feed: Dr. Myron Evans
Posted on: Monday, January 17, 2011 1:06 AM
Author: metric345
Subject: Structure of the Dirac Equation in ECE Theory
The structure of the Dirac equation of the general spacetime in ECE theory is given directly from Cartan geometry in papers such as UFT 4, 129 and 130. The eigenfunction psi is a tetrad with four components in SU(2) representation space. So from the tetrad postulate the Dirac equation in second order format is obtained as a fermion wave equation:
(d’alembertian + R) psi = 0
This can also be interpreted as a Proca equation for the boson, or the Klein Gordon equation for the spinless particle, and also as a Majorana equation. The usual Dirac equation is obtained by rearranging the 2 x 2 psi in to a 1 x 4 psi and factorizing the d’alembertian with Dirac matrices. Finally take the limit of R = (mc / h bar) squared to obtain the original Dirac equation. The ECE fermion equation of UFT 129 and 130 shows that the fermion equation can be written as a first order equation with a 2 x 2 psi (see also notes for UFT 171 and the forthcoming UFT 172). The 2 x 2 psi is obtained from the definition of the tetrad as a matrix linking 2 spinors (column 2 vectors) in two different representations: 1) R and L; 2) 1 and 2. Similarly the tetrad for electromagnetism is defined as the 4 x 4 matrix linking two four vectors, one in (0), (1), (2), (3) rep, the other on 0, 1, 2, 3 rep. Similarly we can define the tetrad in any SU(n) rep space, or any rep space. This gives a generally covariant unified field theory based on geometry and the philosophy of relativity. The tetrad in ECE is more broadly defined than in the original work of Cartan, which used a tangent Minkowski spacetime labelled a at point P to a base manifold labelled mu.

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Monday, January 17th, 2011
Feed: Dr. Myron Evans
Posted on: Sunday, January 16, 2011 11:31 PM
Author: metric345
Subject: Erratum: Eq. (28) of Note 171(1)
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