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Deriving the Standard Model plus Gravitation from Simple Operations on Finite Setsby Tony Smith Table of Contents: Chapter 1 - Introduction. Chapter 2 - From Sets to Clifford Algebras. Chapter 3 - Octonions and E8 lattices. Chapter 4 - E8 spacetime and particles. Chapter 5 - HyperDiamond Lattices. Chapter 6 - Spacetime and Internal Symmetry Space. Chapter 7 - Feynman Checkerboards. Chapter 8 - Charge = Amplitude to Emit Gauge Boson. Chapter 9 - Mass = Amplitude to Change Direction. Chapter 10 - Protons, Pions, and Physical Gravitons. Appendix A - Errata for Earlier Papers. References.
The references listed here are by no means a complete list of all books, papers, and materials I have used in this work. Other important and useful references can be found by looking at secondary references (things listed as references in the references listed below, and as references in my other articles and web pages). Further, I acknowledge much help from many people over many years, but since they may or may not agree with the content of this paper, I do not list them explicitly here. Nevertheless, to the extent the paper is any good at all, they deserve much of the credit. To the extent the paper is no good, the blame is all mine.
J. Frank Adams, (The Selected Works of), Cambridge (1994). J. Adams, Lectures on Exceptional Lie Groups, Chicago (1996). A. Besse, Einstein Manifolds, Springer-Verlag (1987). J. Conway and N. Sloane, Sphere Packings,Lattices, and Groups, 2nd ed, Springer-Verlag (1993). H. Coxeter, Regular Complex Polytopes, 2nd ed, Cambridge (1991). G. Dixon, Division Algebras, Kluwer (1994). R. Feynman, Lectures on Gravitation, 1962-63,Caltech (1971). R. Feynman, Notes on the Dirac Equation,Caltech archives, box 13, folder 6 (1946). R. Feynman and Hibbs, Quantum Mechanics andPath Integrals, McGraw-Hill (1965). H. Gersch, Int. J. Theor. Phys. 20 (1981) 491. M. Gibbs, Spacetime as a Quantum Graph,Ph. D. thesis of J. Michael Gibbs,with advisor David Finkelstein, Georgia Tech (1994). F. Harvey, Spinors and Calibrations, Academic (1990). L.-K. Hua, Harmonic Analysis ofFunctions of Several Complex Variables in theClassical Domains, AMS (1963). J. Humphreys, Reflection Groups and Coxeter Groups, Cambridge (1990). J. Lohmus, E. Paal, L. Sorgsepp, Nonassociative Algebras in Physics, Hadronic Press (1994). I. Porteous, Clifford Algebras and the Classical Groups, Cambridge (1995). B. Rosenfeld, Geometry of Lie Groups, Kluwer (1997). M. Shifman, Determining alphas from Measurements at Z:How Nature Prompts us about New Physics,http://xxx.lanl.gov/abs/hep-ph/9501222 B. Simon, Representations of Finiteand Compact Groups, American Mathematical Society (1996). F. Smith, Calculation of 130 GeV Mass for T-Quark, preprint: THEP-93-2; clf-alg/smit-93-01(1993);http://xxx.lanl.gov/abs/hep-ph/9301210 F. Smith, Hermitian Jordan Triple Systems, the Standard Model plus Gravity,and alphaE = 1/137.03608,preprint: THEP-93-3;http://xxx.lanl.gov/abs/hep-th/9302030 F. Smith, Sets and C^n; Quivers and A-D-E;Triality; Generalized Supersymmetry; andD4 - D5 - E6,preprint: THEP-93-5;http://xxx.lanl.gov/abs/hep-th/9306011 F. Smith, SU(3) x SU(2) x U(1), Higgs, and Gravityfrom Spin(0,8) Clifford Algebra Cl(0,8),preprint: THEP-94-2;http://xxx.lanl.gov/abs/hep-th/9402003 F. Smith, Higgs and Fermions inD4-D5-E6 Model based on Cl(0,8) Clifford Algebra, preprint: THEP-94-3;http://xxx.lanl.gov/abs/hep-th/9403007 F. Smith, Gravity and the Standard Modelwith 130 GeV Truth Quark from D4-D5-E6 Model using 3 x 3 Octonion Matrices, preprint: THEP-95-1;http://xxx.lanl.gov/abs/hep-ph/9501252 F. Smith, Standard Model plus Gravityfrom Octonion Creators and Annihilators, preprint: THEP-95-2;http://xxx.lanl.gov/abs/quant-ph/9503009 F. Smith, HyperDiamond Feynman Checkerboardin 4-dimensional Spacetime, preprint: THEP-95-3;http://xxx.lanl.gov/abs/quant-ph/9503015
From Sets to Quarks: Table of Contents: Chapter 1 - Introduction. Chapter 2 - From Sets to Clifford Algebras. Chapter 3 - Octonions and E8 lattices. Chapter 4 - E8 spacetime and particles. Chapter 5 - HyperDiamond Lattices. Chapter 6 - Spacetime and Internal Symmetry Space. Chapter 7 - Feynman Checkerboards. Chapter 8 - Charge = Amplitude to Emit Gauge Boson. Chapter 9 - Mass = Amplitude to Change Direction. Chapter 10 - Protons, Pions, and Physical Gravitons. Appendix A - Errata for Earlier Papers. References.
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