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

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Chapter 10 Replacement of the Heisenberg Uncertainty Principle Basic Concepts 47 Things should be made as simple as possible, but not any simpler. Albert Einstein While quantum mechanics emerges from the Evans equations, the probabilistic nature of the Schrodinger equation and the Heisenberg uncertainty principle are modified. The Klein-Gordon equation, which was abandoned, is resurrected and correctly interpreted. Conflicts between general relativity and quantum mechanics are resolved. During the last few years new experiments have cast serious doubt on the Heisenberg uncertainty concept and the Bohr complementarity concept. 48 The Heisenberg equation in special relativity predicts that the minimum simultaneous resolution of position and momentum to be h/2. Very high resolution microscopes have been developed that can measure position accurately down to 47 The full derivation of the material covered here can be found in “New Concepts from the Evans Unified Field Theory, Part Two: Derivation of the Heisenberg Equation and Replacement of the Heisenberg Uncertainty Principle” (Feb, 2004)and “Generally Covariant Quantum Mechanics” (May 2005). This chapter is a simplification based on the above and on handwritten notes titled “The Heisenberg Equation of Motion from the Evans Wave Equation of Motion,” M.W. Evans, Feb 13, 2004, www.aias.us or www.atomicprecision.com. 48 Beyond Heisenberg’s Uncertainty Limits, J.R. Croca, Gravitation and Cosmology From Hubble Radius to Planck Scale, edited by R.I. Amoroso, G. Hunter, and M. Kafatos, J-P. Vigier, Kluwer Academic Publishers (now Springer), Dordrecht, 2002. Available at http://cfcul.fc.ul.pt/Equipa/croca/berkeley%20-%20paper.pdf 214
1/50th of a wavelength while keeping a simultaneous measurement of momentum at 2h/λ. That is, ∆x = λ/50 and ∆ρ = 2h/ λ. Thus ∆x ∆p = h/25 instead of h/2 as Heisenberg predicted. Shariar Afshar while at Harvard performed a new type of double slit experiment in which was shown definite simultaneous wave and particle properties of a photon 49 . This disproves the complementarity concept. The photon or electron wave or particle aspects are simultaneously observable. The Copenhagen probabilistic interpretation of quantum mechanics cannot hold and the Einstein-de Broglie viewpoint of causal physics must be accepted. Quantum mechanics is accepted, but the Copenhagen interpretation is rejected in the unified field theory and now by reproducible experimental evidence which is of course the strongest argument. The Heisenberg equation can be derived from both the Evans wave and field equations. General relativity is objective. It does not accept uncertainty. The uncertainty equation can be derived from Evans’ equations, but the interpretation is causal. A new law, derived using differential geometry and the Evans Wave Equation, replaces the Heisenberg uncertainty principle. There are a few equations that we can look at in preparation for Evans’ analysis. p = ћ κ (1) where p is momentum, ћ is Dirac’s constant, and κ is the wave number. This is derived from the definition for wave number, κ = 2π / λ and the de Broglie wavelength of a particle, λ = ћ /p . The momentum and wave number can be expressed as tetrads in the unified field theory. They are related by: 49 See http://users.rowan.edu/~afshar. 215
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1 The Evans Equations of Unified Fi
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3 Torsion .........................
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5 Standard Model with Higgs versus
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Do keep in mind Einstein’s statem
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postulate of general relativity. In
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thought were incorrect. Einstein wa
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8 Figure I-1 Spacetime Newton’s f
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In order to do calculations in the
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12 Figure I-4 The Four Forces Gravi
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The Particles There are stable, lon
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Chapter 1 Special Relativity 16 The
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unnoticeable, for low velocities, b
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The nature of spacetime is the caus
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Figure 1-3 Graph of Stress Energy i
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An example is shown in Figure 1-4.
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There are many short form abbreviat
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The cross product is not defined In
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form. Given that they are discrete
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curvature, but does not allow spinn
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Chapter 2 General Relativity Introd
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However, acceleration and a gravita
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Energy density reference frames T =
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infinity - at distances where the c
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42 Figure 2-4 Visualizing Curved Sp
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Curvature Curvature is central to t
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We showed that gravitation is curva
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Figure 2-9 Base Manifold with Eucli
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In Figure 2-10 at the top is the te
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We put the object in the tangent sp
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The metric tensor is important in g
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Chapter 3 Quantum Theory Quantum Th
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1930’s when it became well establ
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that we have such accuracy as we ha
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spaces. The formulation is beyond t
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frame where measurement is made.) P
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Quantum Numbers The equations below
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Quantum Gravity and other theories
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x time, or momentum x distance, or
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72 E = pc and E = ħ ω and therefo
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When the Planck units are used, it
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76 ms is spin quantum number. It is
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experiments and to describe events.
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are the same space; this is a mathe
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82 If a curve is described by y = a
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Scalar, or Inner Product The dot pr
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Figure 4-5 Cross Product a 86 The v
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product produces surfaces that cut
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4-Vectors and the Scalar Product An
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definite - it is a real distance. I
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Einstein is the tensor defined as G
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With some operations one must add t
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Alternately, a set of basis matrice
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Figure 4-12 100 0 2 1 3 q can repre
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Contravariant and covariant vectors
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The scalars, whether real or imagin
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106 2 _ 1 ∂ 2 c 2 ∂ t 2 can be
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Covariant Exterior Derivative D ∧
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Chapter 5 Well Known Equations Intr
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V = IR. A circuit is a completed ci
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The standard definition of magnetic
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Another way of stating this is that
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Figure 5-4 Ampere's and Faraday’s
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Newton’s law of gravitation 120 A
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Figure 5-6 Fields Poisson’s Equat
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This is a differential operator use
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The Evans equations indicate that R
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Compton and de Broglie wavelengths
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Here ħ = h / 2π = Planck’s cons
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Mathematics and Physics To a certai
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Chapter 6 The Evans Field Equation
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Then the wave equation was develope
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138 q ab µν = q a µq b ν q ab
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From the basic structure of equatio
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142 Rµν - ½ Rgµν = kTµν Eins
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original vector - its orientation i
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The electromagnetic and weak fields
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In more mechanical terms, energy an
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Figure 6-8 Abstract Fiber Bundle an
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The other three fields - electromag
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Figure 6-9 The spin connection and
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Evans Field Equation Extensions R =
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The real physical solutions the wav
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160 Another way to look at the equa
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determined by geometry. This makes
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Page 172 and 173: It is also possible to represent bo
Page 174 and 175: Electromagnetism 168 The B (3) fiel
Page 176 and 177: Strong force If tetrad index “a
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Page 180 and 181: explanation for the Aharonov-Bohm a
Page 182 and 183: ORIGIN Einstein / Hilbert (1915) Ev
Page 184 and 185: then we found it and used it to des
Page 186 and 187: Very Strong Equivalence Principle T
Page 188 and 189: Figure 8-2 Separation of Forces PRI
Page 190 and 191: Note that physics texts often say t
Page 192 and 193: criteria for dark matter. We know t
Page 194 and 195: Figure 8-5 Spinning Spacetime The s
Page 196 and 197: this gives the influence of gravita
Page 198 and 199: In all the forms of the tetrad, the
Page 200 and 201: Spacetime curvature in and around p
Page 202 and 203: The Evans Wave Equation Figure 8-8
Page 204 and 205: λ is the wavelength. It can be app
Page 206 and 207: λde B = ħ / p = ħ / mv (6) where
Page 208 and 209: where ψ a µ is a tetrad. Therefor
Page 210 and 211: The components of R = -kT originati
Page 212 and 213: Relationship between r and λ Profe
Page 214 and 215: Figure 9-4 Curvature and Wavelength
Page 216 and 217: One may tentatively assume that the
Page 218 and 219: The first gives us the Principle of
Page 222 and 223: p b µ = ћ κ b µ (2) The positio
Page 224 and 225: The volumes here are derived from V
Page 226 and 227: The Heisenberg uncertainty principl
Page 228 and 229: Chapter 11 The Evans B (3) Spin Fie
Page 230 and 231: where g = e/ћ for one photon; e is
Page 232 and 233: Figure 11-3 shows the circle turnin
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Page 236 and 237: The magnetic field components are r
Page 238 and 239: The B (3) field is the fundamental
Page 240 and 241: The present standard model uses con
Page 242 and 243: Using Einstein’s index contracted
Page 244 and 245: unnecessary and it has been shown t
Page 246 and 247: Figure 12-4 Momentum Exchange p 3 p
Page 248 and 249: Figure 12-6 Equations in the Tangen
Page 250 and 251: were still unknown. However it is o
Page 252 and 253: Consider an experiment where a beam
Page 254 and 255: Here κ is wave number, ds is the i
Page 256 and 257: the Evans unified field theory. Sim
Page 258 and 259: Figure 13-6 Ordinary Stokes is a ci
Page 260 and 261: Chapter 14 Geometric Concepts Intro
Page 262 and 263: where φ is the gravitational poten
Page 264 and 265: Just what equation will be found to
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The scalar curvature, R, is defined
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Chapter 15 A Unified Viewpoint Intr
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Asymmetry is a combination of symme
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We know energy density increase is
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G q a µ = kT q a µ. Is one formul
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unknowable measurements. ħ is the
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and their respective ratios was,
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It seems inevitable that we will fi
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Quantum mechanics presented us with
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Evans’ equations the electromagne
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A naïve description would be that
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Note that we are still missing some
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Oscillatory Universe The equation m
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We do not have a definite mechanica
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Glossary There are some terms here
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AIAS Alpha Institute for Advanced S
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The B (3) field and O(3) electrodyn
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The calculations to get coordinates
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Connections Circular Basis The equa
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Elie Cartan worked out an approach
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A covariant component is a physical
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Covariant derivative operator (∇
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Curvature at a given point P has a
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Dimension While mathematically well
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Einstein Field Equation The equatio
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Euclidean spacetime Flat geometric
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Fields explain “action at a dista
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Fundamental Particle A particle wit
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Geometric units Conversion of mass
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describes electrodynamics. It is no
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Index Typically Greek letters are u
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Isomorphism A 1:1 correspondence. J
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Local A very small region of spacet
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Another use is with the Dirac and o
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We want a real number to define the
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Time invariance (or symmetry under
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Dual vectors = one forms = covector
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Meson - Any of a family of subatomi
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The Evans phase law is: This is app
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Quantum gravity Quantum gravity is
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Riemann tensor Riemann calculates t
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Schrodinger's Equation ∇ 2 Ψn =
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The spin connection may be best des
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α angular acceleration; fine struc
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Rotation and reflection of a triang
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Next is O(3) electrodynamics which
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Rank is indicated by the number of
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A spin structure is locally a tetra
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q a µ can be defined in terms of a
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The torsion of a curve is a measure
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our real four dimensional spacetime
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Wave or Quantum Mechanics Study of
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