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Errata for some of my papers:

Table of Contents:


Before I read quant-ph/9806009,

To Enjoy the Morning Flower in the Evening -

What does the Appearance of Infinity in Physics Imply?

by Guang-jiong Ni of the Department of Physics, Fudan University, Shanghai 200433, P. R. China, and the related paper hep-ph/9801264 by Guang-jiong Ni, Sen-yue Lou, Wen-fa Lu, and Ji-feng Yang,

I did not correctly understand the Higgs mechanism. Therefore, in my earlier papers I had wrongly stated that the D4-D5-E6 model gives a Higgs scalar mass of about 260 GeV and a Higgs scalar field vacuum expectation value of about 732 GeV. I now see that my earlier values were wrong, and that the correct values under the D4-D5-E6 model are a Higgs scalar mass of about 146 GeV and a Higgs scalar field vacuum expectation value of about 252 GeV. The fault was not with the D4-D5-E6 model itself, but with my incorrect understanding of it with respect to the Higgs mechanism.


My paper hep-ph/9512438, on the Rb and Rc Crises, should be disregarded because the experimental results on which it was based have been superseded. Here is a brief discussion of the matter.


In ALL PAPERS, I have considered the Standard Model gauge group to be G=SU(3)xSU(2)xU(1), and have not considered the distinction between it and the quotients U(3)xSU(2)=G/Z3 , SU(3)xU(2)=G/Z2, and S(U(3)xU(2))=G/Z5.

Similarly, I have not considered the distinction between groups SU(3)xU(1) and U(3)=(SU(3)xU(1))/Z3 or

SU(2)xU(1) and U(2)=(SU(2)xU(1))/Z2 or

SU(4)xU(1) and U(4)=(SU(4)xU(1))/Z4.

For the purpose of studying color, weak, and electromagnetic gauge bosons as Lie algebra infinitesimal generators, my errors should probably have no serious consequences.

Similarly, for the purpose of studying conformal gravity of SU(4) = Spin(6) or SU(2,2) = Spin(2,4), and its relationship to the Higgs mechanism, my errors should probably have no serious consequences.

What I probably should have done in all cases is to use the smallest group (which roughly amounts to specifying which of the diagonal elements of the SU(n) corresponds to the U(1)). For details, see Group Structure of Gauge Theories, by L. O'Raifeartaigh, Cambridge (1986).

The coset spaces used in calculating the force strength constants should remain the same, as each of the forces considered alone would be represented by Spin(5), SU(3), SU(2), or U(1), respectively. In other words, the discrete groups Zn would not change the geometric structures used to calculate the force strength constants.


In hep-ph/9501252 - Gravity and the Standard Model with 130 GeV Truth Quark from D4-D5-E6 Model using 3x3 Octonion Matrices, and in earlier papers, I have not made a proper distinction between the 4-dimensional associative spacetime and the 4-dimensional coassociative internal symmetry space that come from the original nonassociative octonionic 8-dimensional spacetime.

The two 4-dimensional spaces both have quaternionic structure, so it was easy to fail to make the proper distinction. It is also easy to correct the error, by just reading "internal symmetry space" instead of "spacetime" every time context shows it should be done.

The most important place in which this confusion occurs is in discussion of how gauge bosons "see" "spacetime" (should be "internal symmetry space") when determining the volumes of compact symmetric spaces to be used in calculating force strength constants.


In hep-ph/9501252 - Gravity and the Standard Model with 130 GeV Truth Quark from D4-D5-E6 Model using 3x3 Octonion Matrices, on page 99,

and

In hep-th/9403007 - Higgs and Fermions in D4-D5-E6 Model based on Cl(0,8) Clifford Algebra, on page 14,

I wrote v = 517.798 GeV

instead of v / sqrt(2) = 517.977 GeV.

Elsewhere in these papers (p. 89 and p. 8, respectively) I had calculated that v = 732.53 GeV.


hep-th/9402003 - SU(3)xSU(2)xU(1), Higgs, and Gravity from Spin(0,8) Clifford Algebra CL(0,8):


hep-th/9302030 - Hermitian Jordan Triple Systems, the Standard Model plus Gravity, and aE = 1/137.03608:


HISTORY of the BINOMIAL TRIANGLE:

The Southern Song Chinese mathematician Yang Hui (1261 AD) is given credit in my home page for discovering the Binomial Triangle known to Europeans as Pascal's Triangle. However, I have now (20 Jun 94) seen references to earlier discovery of the Binomial Triangle:


 

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