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THE GREATEST STANDING ERRORS IN PHYSICS AND MATHEMATICS i. Preface. A broad overview of the current state of physics and math, and an explanation of my intent with this book. 5pp. SECTION 1: RELATIVITY
by Miles Mathis
Painting Experiment with an Air Pump by Joseph Wright of Derby, 1768, Tate Gallery, London
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Chapter List
ii. The Central Discoveries of this Book. What I believe I have achieved; an overview. 7pp.
iii. Death by Mathematics. The pre-meditated murder of physics. 8pp.
iv. Eleven Big Questions you should have for the Standard Model of Physics. 11 chosen from 11,000. 6pp.
1. A Revaluation of Time. This paper offers a simple operational definition of time, one which is useful in understanding the papers that follow. 6pp.
2. Angular Velocity and Angular Momentum. Both current equations are shown to be false. 5pp.
3. Unified Fields in Disguise. I show that we already have two successful and correct unified fields, hiding in plain sight. 5pp.
4. The Kinetic Energy Equation. Another big hole in your physics book. 5pp.
5. The Equation v = v0 + at is False. An even bigger hole in chapter one of your physics book. 2pp.
6. Relativity as a Concept. An introduction to the problem, preparing the reader for the mathematical arguments in later papers. 6pp.
7. Relativity Demystified. Here I try to explain both SR and GR in the simplest and clearest possible terms, for laymen and experts alike. 14pp.
8. The Michelson/Morley Interferometer. Here I explain the flaws in various conceptualizations of the interferometer, showing that no fringe effect should have been expected. It was originally published as Appendix A to the long paper in chapter 11. 12pp.
9. A Final Simplification of the Problem (of Special Relativity). This is a short paper glossing my main corrections to Einstein’s transforms. It was written after the papers in chapters 9, 10 and 11. 6pp.
10. The Discovery of First-Degree Relativity and the Refutation of Gamma. This is the paper I sent to several journals, including Annalen der Physik and Physical Review Letters, from 2001 to 2004. It condenses the information from the longer papers in chapters 10 and 11. 21pp.
11. A Critique of Einstein's Original Paper. Here I attack Einstein line for line, using "On the Electrodynamics of Moving Bodies" (Annalen der Physik, 1905) as my text. This was to answer critics of my first paper [chapter 11] who believed that Einstein’s paper of 1905 still had precedence over math published later in the books Relativity and The Meaning of Relativity. This paper was originally published as Appendix C to the longer paper below. 12pp.
12. An Algebraic Correction to the Transformation Equations (The Lorentz Equations) of Special Relativity. This is my first paper on Special Relativity. It includes new first- and second-degree transforms, as well as new transforms for movement toward an observer and at an angle to an observer. In addition, it explains the interferometer, discusses the Hafele-Keating experiment, and suggests a solution to the Pioneer Anomaly. 48pp.
13. The Light Clock. A close analysis of the light clock, showing the many ways it fails as a visualization of time dilation. 3pp.
14. A Final Argument against x' = x - vt. A short addendum to my proofs against this equation, once again using a text of Feynman as an example. 2pp.
15. The Equation x' = x - vt, Again. One more useful visualization of the problem, focusing this time on the immobility of origins in relative motion. 3pp.
16. Proof that Classical Action is Invariant in a Galilean Transformation. A reply to a paper in American Journal of Physics that claimed that action was not invariant in a Galilean transformation. This transformation is x' = x -vt. 3pp.
17. Why the Transforms of Special Relativity are not Symmetrical. A return to this familiar problem, explaining it as a question of symmetry. 3pp.
18. A Break in the Pioneer Case. An article written for a popular journal showing, in the simplest possible way, the cause of the anomaly. 4pp.
19. How the Loss of Gamma affects Minkowski’s Space-time Equations. In this paper I show how Minkowski’s math must be affected by my corrections to Special Relativity. Also see chapter 27 below. 5pp.
20. How New Transforms in Special Relativity Affect Mass, Momentum and Energy Equations. Here I show that Einstein’s mass and energy transforms are also incorrect, including the famous E=mc2. I also show, for the first time, that the classical equation E=mv2/2 is not an approximation. Finally, I derive the number 108 for the proton. 41pp.
21. New Mass and Energy Transforms—a Gloss. A much shortened argument, compressing the paper in Chapter 14. 11pp.
22. An Overview of my Mass Increase Papers. A 2-page presentation of findings only, with no derivations and no analysis. 2pp.
23. Lorentz Invariance. How my corrections affect so-called Invariance, covariance, and violations. 4pp.
24. A Critique of General Relativity. A refutation of Einstein’s thought problem of the spinning disk and an analysis of the tensor calculus. Also, a solution to the primary problem of GR (the deflection of starlight) without tensors or Riemann. 13pp.
25. The Biggest Black Hole in General Relativity. There is no impulse to motion from rest in Einstein's field equations. 9pp.
26a. More Problems with General Relativity. I show that the current number 1.75 for bending of starlight is compromised by gamma. 4pp.
26b. An Explosion of the Pound-Rebka Experiment. I show that the math behind this experiment is a fudge. 10pp.
27. Why Hyperbolic Math is not applicable to General Relativity. Here I show the flaw in i and the assumption that time travels orthogonally to x, y, z. Also see #19 above and #28 below. 2pp.
28. Another Critique of Curved Space, using an analogy to the electrical field. 4pp.
29. The Trouble with Tensors, a critique of the tensor and the tensor field as used by GR. 8pp.
30. The Perihelion Precession of Mercury. A long critique of the historical problem, showing the major errors of Einstein and others. 32pp.
31. The Perihelion Precession of Mercury, the short version A gloss of the longer paper. 3pp.
32. The Easy Solution to the New Saturn Anomaly. My solution to Mercury also solves the Saturn Anomaly. 3pp.
33. How to Solve General Relativity Problems without the Tensor Calculus (in 1/100th the time). The title says it all. 3pp.
34. A Mathematical Explanation of the Orbital Distance of Mercury. The Unified Field shows us exactly why Mercury is where it is. 8pp.
35. How General Relativity Solves the Metonic Cycle. A mechanical explanation of the cycle, with all the math. 9pp.
36. The Ether, does the ether exist, and if so, in what form? 8pp
37. Tesla and Einstein were Both Right, about the ether. 8pp.
38. The Born-Einstein Letters, extended commentary on QED, GR, and other subjects. 14pp.
SECTION 2: CALCULUS
39. A Re-definition of the Derivative (why the calculus works—and why it doesn’t). This paper establishes for the first time the true foundation of the calculus. Rather than pursue a diminishing differential, as has been the quest of history, I have discovered the constant differential underlying the basic equation of the calculus. In doing this, I show that instantaneous values are impossible. 28pp.
40. The Proof of the Derivative for Powers is False. I show yet another reason the proof by going to zero is wrong. 10pp.
41. My Calculus applied to the Derivative for Exponents. I show that the current slopes of ax and ex are wrong. I also analyze the proof for ex, and show that the calculus is taught upside down. 15pp.
42. The Derivatives of ln(x) and 1/x are Wrong. I show many problems with the current proofs, and correct them, finding new slopes as well. 15pp.
43. The Derivative of log(x) is also Wrong. I show more problems with the Modern Calculus using my simple differential tables. I find a new slope for log(x) which is fantastically close to the current slope, but which comes from a completely different analysis. 5pp.
44. A Study of Variable Acceleration. I show that the calculus is currently taught upside down, by analyzing a textbook solution of cubed acceleration. 8pp.
45. Calculus Simplified. A compression of my long paper on the calculus. 13pp.
46. Trig "Derivatives" found without the old Calculus. Here I show that my simple exponent table from my calculus paper, and the constant differential, apply just as easily to trig functions. 3pp.
47. Another Fatal Flaw in the Historical Foundation of the Calculus. A further flaw in the current proof of the derivative, specifically in the assumption that the terms in an infinite series can approach a limit. I show that the sum approaches the limit, but the terms do not, nullifying the accepted procedure. 4pp.
48. A Disproof of Newton's Fundamental Lemmae. Newton's first 8 lemmae from the Principia are shown to be false. 6pp.
49. A Correction to a=v2/r (and a refutation of Newton's Lemmae VI, VII & VIII). In this paper I expose the errors in the derivation of a=v2/r, one of the bedrock equations of circular motion. In doing so I falsify Newton's famous Lemmae VI, VII & VIII from the Principia. 17pp.
50. A Clarification of the Equation a=v2/r. I import new information from my π papers to extend my findings regarding orbits. I also show that the centripetal acceleration is not instantaneous. 6pp.
SECTION 3: QUANTUM PHYSICS
51. Quantum Mechanics and Idealism. My paper on the calculus is tied to QED here. Also a comparison of the idealisms of Heisenberg and Berkeley. Finally, a disproof of both idealisms, and a simple logical and mathematical refutation of the Copenhagen interpretation. 10pp.
52. Superposition. Both superposition and the wave-particle duality are explained mechanically, with a straightforward visualization. This falsifies the Copenhagen interpretation in the most direct way imaginable. 5pp. Also see #53 below.
53. Superposition Again. The problem of beam splitters in sequence is solved mechanically, with diagrams.
54a. Planck's Constant and Quantization. A mechanical explanation for why energy is quantized, using spins. 7pp.
54b. The Planck Relation and the Mass of the Photon. How Planck's Constant hides the mass of the photon. 2pp.
55. The Collapse of the Wave Function. Written as an introduction to my paper on Superposition. See #51 above. 7pp.
56. The Double Slit Experiment. A simple mechanical explanation of the single photon problem and the detector problem. 7pp.
57. Why Schrodinger's Waves move in Q-space. 5pp.
58. Schrodinger's Waves Mechanics Explained. How can electrons have more than three wave motions
in only three dimensions? 4pp.
59. Bohr's First Big Mistake. A major substitution error in the math of the Bohr radius is shown to infect all of QED. 3pp.
60a. The Bohr Magneton, and Bohr's second and third Big Mistakes. The Bohr equation and Bohr radius are totally reworked, finding that Coulomb's constant is an expression of the Bohr radius. 10pp.
60b. The Stern-Gerlach experiment. The mathematical and axiomatic flaws in the experiment, including the illogic of a dipole electron and a spin of 1/2. 6pp.
61a. Three Big Problems Solved Mechanically: partial reflection by glass, the right-hand rule, and Feynman's shrink-and-turn method. 13pp.
61b. The Compton Effect, Duality, and the Klein-Nishina formula. I analyze and correct all three. 6pp.
62. Quantum Entanglement. A critique of David Z. Albert's new article at Scientific American, and a mechanical explanation of entanglement. 8pp.
SECTION 4: ELECTROMAGNETICS
63. Electrical Charge. Defining charge as the mass of the radiation. 9pp.
64. Coulomb's Equation. Tying Coulomb's constant to the Bohr diameter, to show that the charge field is real, not virtual. 10pp.
65a. What is "Charge"? It is a resultant acceleration of two fields. 8pp.
65b. How Magnetism works Mechanically With spin and the unified field. 11pp.
66. The Unified Field Theory. Newton's gravitational equation is shown to be a compound equation that includes the E/M field. I mathematically separate the two field equations, do transforms on them, and create simple and useful Unified Field Equations. 24pp.
67. What is G? It is the transform from one radius to another, but not the radii you think. 9pp. Also see #86 below.
68. The Electron Orbit Uncovering the greatest hole in quantum mechanics and filling it. 8pp.
69. Zero-point Energy and the Casimir Effect Zero-point energy is not infinite and the Casimir Effect is not an outcome of quantization. 18pp.
70. Why the Magnetic Monopole cannot Exist. Because the E/M field is not a dipole. 4pp.
71. The Trouble with Tides. A thorough exposé of the holes in current tidal theory. 10pp.
72. The Solution to Tides (Part 1). The solution, replacing gravity with E/M as the main cause. 17pp.
73. The Solution to Tides (Part 2). The mechanical cause of spring and neap tides. 7pp.
74. The Solution to Tides (Postscript). Lunar effects and the E/M field. 2pp.
75. The E/M Fields of Solar System Bodies. How to create Solar Wind exclusion without a magnetosphere. 4pp.
76. The Magnetopause calculated from the Unified Field. More Solar Wind anomalies solved with the charge field. 9pp.
77. The Cause of Axial Tilt, Part 1. Not collisions in the distant past, but charge "perturbations" from other planets. 10pp.
78. The Cause of Axial Tilt, Part 2. Nutation; plus the solution to Jupiter. 7pp.
79. Bode's Law. A complete explanation of and correction to Bode's Law. 19pp.
80. Atmospheric Pressure and the Charge Field. Atmospheric weight is another myth. 17pp.
81. Why does Hot Air Rise? The charge field fills another hole. 3pp.
82. The Stefan-Boltzmann Law, a simplified derivation, showing the mechanics beneath the equation. Also, how to apply the equation to a sphere rather than a flat surface. 6pp.
83. The Main Cause of Solar System Instability: Smaller planets orbiting above larger ones. 5pp.
SECTION 5: GRAVITY
84. Celestial Mechanics. A demonstration of the inadequacies of current theory regarding gravity, orbits, and nebulae. 18pp.
85. Why Celestial Mechanics is Deterministic. Also why chaos theory and perturbation theory are wrong. 5pp.
86. The Universal Gravitational Constant. I follow a hint from Maxwell to give the dimensions of G to the mass. 6pp. Also see #67 above.
87. Why Non-Euclidean Geometry is a Cheat. Also a critique of the complex number plane. 21pp.
88. The Third Wave: a Redefinition of Gravity, Part I. No curved space, no force at a distance, no force-carrying particle. Gravity is explained here simply in terms of straight-line motion. Mass, inertia and gravity are all shown to be equivalent, reducible to the same motions. 9pp.
89. The Third Wave: a Redefinition of Gravity, Part II. An explanation of both atomic and macro orbits using the expansion "field" and the E/M field. 7pp.
90. The Third Wave: a Redefinition of Gravity, Part III. An explanation of the inverse square law using expansion theory. It is also shown that the Standard Model contradicts the law. 6pp.
91. The Third Wave: a Redefinition of Gravity, Part IV. Retrograde orbits, Triton, and the lack of angular momentum in the Sun are explained. 10pp.
92. The Third Wave: a Redefinition of Gravity, Part V. The aberration of starlight and gravity at the quantum level are explained. A proposal concerning the strong force is also made, linking it to the expansion of matter. 14pp.
93. The Third Wave: a Redefinition of Gravity, Part VI. The Ideal Gas Law as proof of Expansion Theory. 3pp.
94. The Third Wave: a Redefinition of Gravity, Part VII. The Moon as proof of Expansion Theory. Mass and weight using both the gravitational field and the E/M field. 15pp.
95. An Update on Weight, in which I falsify F=GMm/R2 using a new thought problem. 19pp.
96. The Third Wave: a Redefinition of Gravity, Part VIII. Genesis. I introduce a new cosmology to contain my mechanics. 7pp.
97a. The Third Wave: a Redefinition of Gravity, Part IX. The optical size equivalence (angular diameter) of Sun and Moon as proof of my theory. 13pp.
97b. Expansion Theory, an interlude. A short gloss of the last decade's work. 4pp.
98. The Cavendish Experiment. I show a compensation of errors in all such experiments. 37pp.
99. The Allais Effect and Majorana. Plus commentary on LeSage, Podkletnov, NASA, Wiki, and others. Showing how my compound field answers anomalies where other fields do not. 32pp.
100. The Moon Gives up a Secret. Numbers from the Moon are analyzed to show that "gravity" is a compound field. 4pp.
101a. On Laplace and the 3-Body Problem. Showing that Laplace did not do what he is said to have done. 12pp.
101b. The Virial Theorem is False. Showing that Lagrange did not do what he is said to have done. 7pp.
102. A Recalculation of the Roche Limit. Showing that current math is wrong, and how to find a different kind of limit. 12pp.
103. Gravity at the Quantum Level. All the math for the unified field at the quantum level, including a force between the electron and proton. 9pp.
104a. Why Exponential Inflation is Impossible. One of the pillars of Big Bang theory falls. 9pp.
104b. Hubble Redshifts and the Cosmic Background Radiation. Two more pillars of Big Bang theory fall. Also new commentary on the cosmological constant. 12pp.
105. A Call to Astronomers. A call to astronomers for confirmation of a prediction concerning the bending of starlight by Jupiter. 4pp.
106. Bending of Starlight by the Planets.Experimental proof of my theory of gravity. 7pp.
107. Bending of Starlight, a clarification, answering a reader's query with more lovely diagrams. 3pp.
108. Against Gravitational Lensing, a critique of the theory and of the candidates. 11pp.
109. Explaining the Ellipse. Holes in the elliptical theory of orbits are filled at last. 5pp.
110. Why the Singularity cannot Exist, and why Loop Quantum Gravity is wrong. 7pp.
111. The Myth of the Black Hole, commentary on black hole theory. 9pp.
112. The Mysterious Muon, showing that the muon is not proof of time dilation. 8pp.
113. Mucking up the Muon Math, showing how the SR transforms are misused. 7pp.
SECTION 6: QED amd QCD
114. Why the Atomic World is 100 Times Larger than We Thought. Important corrections to Rutherford's scattering equations yield new size estimates. 8pp.
115. The Cosmic Mass Deficit. A simple, logical, mechanical explanation of the mass deficit, without dark matter or any other ad hoc postulate. 4pp.
116. Contra Feynman. Some introductory comments on Richard Feynman, including a critique of Dicke's experiment. 13pp.
117. Richard Feynman and the Glorification of Heuristics. A further critique of Feynman and QED. 7pp.
118. A Reworking of Quantum Chromodynamics, while dismissing the quark, the bosons, the gluons, the strong force, the weak force, and the Higgs field. Also including a new analysis of beta decay. 22pp.
119. The Infinite Weakness of the Theory of Weak Interaction. A broad dismissal of weak and electroweak theory, and a simpler explanation of parity loss in beta decay. 33pp.
120. The Disproof of Asymptotic Freedom, and the breaking of the Landau pole. Two more pillars of QCD fall. 13pp.
121. A Critique of Yang-Mills. The point particle causes another grand failure. 4pp.
122. The Electromagnetic Field (and the Strong Force). How the E/M field and the strong force have changed due to my new Unified Field. 5pp.
123. More Problems with the Strong Force. I explode the Strong Interaction. 12pp.
124. How to Build a Nucleus without the Strong Force. With simple logic and diagrams. 8pp.
125. Screening in QED. A simple mechanical explanation. 1p.
126. Unifying the Electron and Proton. The quantum equation that explains it all. 3p.
127. Explaining Mesons without Quarks. Stacked spins explain mesons, using the quantum equation. 18p.
128. Hidden Variables. Explaining the fifth quantum field. 2p.
129. Unifying the Photon with other Quanta. Showing that the photon is another spin level of the fundamental quantum. Also, I calculate a mass for the photon. 7p.
130. Where are the B-photons? Hiding in plain sight, as usual. 2pp.
131. How Do Photons Travel? I show the local wavelength of the photon and the transform to the measured wavelength. 5p.
132. The Fine Structure Constant and Planck's Constant. Planck's constant is hiding the photon's mass, and the fine structure constant is just more misdirection. 9pp.
133. String Theory: the Inelegant Universe. A Critique of String Theory and M-theory using Brian Greene's book The Elegant Universe as my text, including a foundational correction to the 11-dimensional math. 14pp.
SECTION 7: OTHER MISTAKES
134. Some Introductory Remarks on Cantor. A few observations on point-set topology and infinities. 5pp.
135. Zeno's Paradoxes. A short paper on Zeno's various paradoxes showing, among other things, that I am not opposed to limits or infinities in mathematics or in physics when they are used properly. 6pp.
136. Gödel's Incompleteness Theorems. Commentary in passing on Kurt Gödel, including analysis of Karl Popper, Bertrand Russell, and others. 6pp.
137. Why Noether's Theorem is a Tautology. A short proof of Noether's Theorem by algebraic means, showing that symmetries are equivalent to conservation laws. This contradicts the current interpretation that symmetries are primary. 2pp.
138. Entropy. A refining of the concept of entropy, and a rebuttal to the current conceptions of order. 5pp.
139. What is π? Here I show that π is a centripetal acceleration and that the circumference of any circle has complex dimensions. 6pp.
140. The Extinction of π. Here I show that the true value of π, defined as the ratio of circumference to diameter, is 4. 15pp.
141. Proof from NASA that π is 4. Simple proof from Explorer that overturns π. 5pp.
142. A Preliminary Study of the Pyramid as an Electrical Structure. Applying the foundational E/M field to the problem of the pyramid, in a strictly mechanical analysis. 10pp.
143. Does Size Matter? The first entry in a new section answering readers' questions. Here I answer a question about the ratio of volume to surface area changing with size. 3pp.
144. Why do Stars Twinkle? A new answer to this question and some commentary on the old answer. 6pp.
145. Squaring the Circle. Here I show various operational inconsistencies in claiming that the circle cannot be squared "with a straight edge and compass." 12pp.
146. A Simple Proof of Goldbach's Conjecture, by transforming probabilities into densities. With a visualization. 6pp.
147. A Short Formal Proof of Goldbach's Conjecture, A general, formal proof in fractions only, to support the previous paper. 2pp.
148. Of Monkeys and Typewriters. Current wisdom is once again shown to be unwise. 5pp.
149. The Illogic of Atheism. 14pp.
150. The Large Hadron Collider: the beginning of the end for postmodern physics. 9pp.
151. NASA Propaganda for the Standard Model. A Review of the NASA videos at Hulu. 5pp.
152. Why is the Sky Blue? Current theory is shown to be upside-down. 13pp.
1525pp. total. 2/7/2010.