The Evans Equations of Unified Field Theory - Alpha Institute for ...

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Introduction Don’t Panic 1 Genius is 1% inspiration and 99% perspiration. Albert Einstein Don’t panic if the technical terms are intimidating at this point. While this is not a fundamental book, the basic terms are all defined in the glossary and the first five chapters. These chapters are a review of quantum mechanics and relativity. This is a book about equations. However, the attempt is made to describe them in such a way that the reader does not have to do any math calculations nor even understand the full meaning of the equations. To just give verbal explanations and pictures and ignore the equations is to lie by omission and would hide the fuller beauty that the equations expose. However, the nonphysicist needs verbal and pictorial explanations. Where possible, two or three approaches are taken on any subject. We describe phenomena in words, pictures, and mathematics. Most readers are most interested in the concepts not the deep math; know that the author is well aware of it. So…don’t panic if the technical terms are intimidating at first. When you have finished this book and you reread this introduction, you will say, “Oh, that‘s obvious,” about a lot of the material that confused you at first. There is a glossary with additional explanations of terms and a number of web sites are given in the references for those wishing to get either more basic or more thorough explanations.
Page 1 and 2: 1 The Evans Equations of Unified Fi
Page 3 and 4: 3 Torsion .........................
Page 5: 5 Standard Model with Higgs versus
Page 9 and 10: point. Since points are zero, they
Page 11 and 12: quantum theory. This is absolutely
Page 13 and 14: A metric is a formal map from one p
Page 15 and 16: Evans spacetime uses Cartan differe
Page 17 and 18: experiences spacetime as distances
Page 19 and 20: linear, predictable and organized f
Page 21 and 22: for example, R means curvature. Onc
Page 23 and 24: nature of space and time had to be
Page 25 and 26: was once compressed into a homogene
Page 27 and 28: 21 Figure 1-2 Lorentz-Fitzgerald co
Page 29 and 30: 23 Figure 1-4 Invariant distance dt
Page 31 and 32: particular, Einstein’s relativity
Page 33 and 34: At first this seems strange since t
Page 35 and 36: Figure 1-7 Basis Vectors, e e 2 29
Page 37 and 38: The Metric The metric of special re
Page 39 and 40: The nature of spacetime is the esse
Page 41 and 42: points to the center of the earth.
Page 43 and 44: contraction. Instead of contraction
Page 45 and 46: Einstein showed that four dimension
Page 47 and 48: Figure 2-3 A curved space with a 4-
Page 49 and 50: The amount of R, curvature, is non-
Page 51 and 52: evaluate attraction or repulsion at
Page 53 and 54: postulate that R = -kT. Where space
Page 55 and 56: Figure 2-10 Tetrad and Tensors See
Page 57 and 58:
The Metric and the Tetrad The metri
Page 59 and 60:
The concept of the tetrad is defini
Page 61 and 62:
The weak equivalence principle is t
Page 63 and 64:
mathematical forms and provides a t
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59 Figure 3-1 Electron Location Pro
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ounce once, and only then using a m
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the electron, a bit like a planet.
Page 71 and 72:
Note the similarity in Figure 3-4 b
Page 73 and 74:
Quantum Electrodynamics and Chromod
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lead to either general relativity o
Page 77 and 78:
Sometimes stated as E = hf with n u
Page 79 and 80:
Geometricized and Planck units Geom
Page 81 and 82:
Figure 3-6 Principle Quantum Number
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Chapter 4 Geometry Introduction 77
Page 85 and 86:
Riemann Curved Spacetime Riemann ge
Page 87 and 88:
Torsion Torsion is the twisting of
Page 89 and 90:
Figure 4-3 Spacetime Manifold Vecto
Page 91 and 92:
Cross or Vector Product The cross p
Page 93 and 94:
Divergence The divergence of a vect
Page 95 and 96:
89 The wedge product is an antisymm
Page 97 and 98:
Tensors are equations or “mathema
Page 99 and 100:
Some Other Tensors 93 Figure 4-11 T
Page 101 and 102:
Matrix Algebra 95 The matrix above
Page 103 and 104:
97 Let V a be the four-vector in th
Page 105 and 106:
It describes the angles that connec
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others used tensors that represente
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Differential geometry is difficult
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105 Figure 4-14 ψ = sin θ y ψ Si
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Figure 4-16 Tangent basis vectors E
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Figure 4-18 Vector Multiplication 1
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111 2. Newton's Second Law of Motio
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Electric charge density is the numb
Page 121 and 122:
This is the inverse square rule for
Page 123 and 124:
Magnetic flux is proportional to th
Page 125 and 126:
119 Figure 5-5 Translating Photon o
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attraction depends on the distance,
Page 129 and 130:
electrical potential in volts (or j
Page 131 and 132:
We are looking for frame independen
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We do not yet have a test black hol
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where h is Planck’s constant, m i
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deeply argued about over the years
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thought and development of mathemat
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Cartan were not able to develop the
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Curvature and Torsion Even if the r
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Figure 6-2 Curvature and Torsion 13
Page 147 and 148:
equations give distances and turnin
Page 149 and 150:
Unification could be achieved if el
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Evans’ solution was to show how t
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epresentations. While the present s
Page 155 and 156:
At each point in spacetime there is
Page 157 and 158:
The gravitational field affects the
Page 159 and 160:
Summary There are two expressions o
Page 161 and 162:
means: 155 Einstein’s basic postu
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Chapter 7 The Evans Wave Equation I
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159 The wave equation’s real func
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161 Figure 7-2 ( + kT) q a = 0 µ 1
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tetrad. In this way one deduces a g
Page 171 and 172:
qa ( + kT) µ = 0 165 The tetrad an
Page 173 and 174:
The six electromagnetism equations
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169 O(3) symmetry is the sphere. If
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quantized results (eigenfunctions)
Page 179 and 180:
173 In Chapter 9 we will go into de
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The Evans unified equations allow b
Page 183 and 184:
Chapter 8 Implications of the Evans
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There are only two forms in differe
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space = time = energy = mass. Every
Page 189 and 190:
frame expands with an explosive dec
Page 191 and 192:
R3 A a µ (S) = - kT3 A a µ (S) (6
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andom. It is not possible for somet
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spacetime. Unknown as of the time o
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so the particle mass energy is posi
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R = -kT The source of the fields in
Page 201 and 202:
e symmetric or antisymmetric gravit
Page 203 and 204:
Chapter 9 The Dirac, Klein-Gordon,
Page 205 and 206:
Figure 9-2 Equivalence of oscillati
Page 207 and 208:
Dirac and Klein-Gordon Equations Th
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kT -> (mc/ћ) 2 (18) We arrive at t
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curvature of Einstein is joined wit
Page 213 and 214:
P Figure 9-3 Relationship between c
Page 215 and 216:
V0 = k ħ 2 / E mV0 = k ħ 2 / c 2
Page 217 and 218:
Radius of the electron is variously
Page 219 and 220:
ħ =h/2π so in terms of a circle o
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1/50th of a wavelength while keepin
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He stated that he believed that the
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The equations are derived from gene
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The Klein Gordon equation is a scal
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dimensional U(1) concept. Magnetic
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The B (3) field is a component of t
Page 233 and 234:
The B (3) field indicates a longitu
Page 235 and 236:
The antisymmetric metric tensor is:
Page 237 and 238:
Figure 11-6 Evans: the electromagne
Page 239 and 240:
Chapter 12 Electro-Weak Theory Intr
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Figure 12-2 Tangent Gauge Space and
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Figure 12-3 In Special Relativity a
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known values. As it happens Higgs c
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Figure 12-5 Particle scattering see
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Simpler is to note that the Evans o
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Chapter 13 The Aharonov Bohm (AB) E
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The arc length of the circle as it
Page 255 and 256:
Figure 13-4 AB Effect Electron Sour
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The Helix versus the Circle Evans
Page 259 and 260:
Figure 13-7 AB Effect due to spacet
Page 261 and 262:
Figure 14-1 A a µ 2 0 3 A A 1 Inde
Page 263 and 264:
φ (0) is a fundamental voltage ava
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the extension of curvature outside
Page 267 and 268:
Then in order to derive physics fro
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It is seen that the fundamental vol
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The electrogravitic equation shows
Page 273 and 274:
This chapter reviews the material w
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Figure 15-1 The tetrad and the forc
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The other is Einstein’s postulate
Page 279 and 280:
The Tetrad and Causality The tetrad
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This means that de Broglie wave-par
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fourth spatial dimension. Evans giv
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Figure 15-3 The stable particles Pr
Page 287 and 288:
Four forms of energy can be describ
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Research may show the photon to be
Page 291 and 292:
Figure 15-4 Enigmatic Neutron Symme
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Figure 15-5 All equations of physic
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geometric phase factor can be used
Page 297 and 298:
electron, proton, neutrino and dist
Page 299 and 300:
indicate what is going on inside a
Page 301 and 302:
Antisymmetric tensor The simplest a
Page 303 and 304:
e a • e b = 0 if a ≠ b; a, b ar
Page 305 and 306:
CP is Charge Conjugation with Parit
Page 307 and 308:
Complex conjugate The complex conju
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These vectors are tangent to the re
Page 311 and 312:
to do this. It is independent of co
Page 313 and 314:
Covariant derivatives and covariant
Page 315 and 316:
Curved spacetime Gravitation and ve
Page 317 and 318:
εo The permittivity of free space
Page 319 and 320:
Mathematically we can deal with the
Page 321 and 322:
The bundle Fiber bundle of gauge th
Page 323 and 324:
Four-vectors In the spacetime of ou
Page 325 and 326:
A gauge field G a µ is invariant u
Page 327 and 328:
Gravitational field In Newtonian ph
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perfectly adequate in normal life.
Page 331 and 332:
Certain mathematical process are in
Page 333 and 334:
This says that the difference betwe
Page 335 and 336:
A transpose of a matrix would have
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ds 2 = ηµν dx µ dx ν The two v
Page 339 and 340:
Minkowski spacetime The spacetime o
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theory is that of the complete Eins
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Riemannian spacetime curvature is d
Page 345 and 346:
An additional area of research that
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Planck quantum hypothesis The energ
Page 349 and 350:
Reference Frame A reference frame i
Page 351 and 352:
Other important orthogonal transfor
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Evans spacetime has a metric with c
Page 355 and 356:
Stokes’ theorem states that the f
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Einstein’s special relativity est
Page 359 and 360:
Particle-antiparticle symmetry is c
Page 361 and 362:
The tangent space in general relati
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some other region of the field. For
Page 365 and 366:
The gravitational field is the tetr
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Unified Theories have not brought g
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Void is the real nothing outside th
Page 371 and 372:
Wave equation, Evans ( + kT) q a =
Page 373:
References Advances in Physical Che
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