Dr Faustus of Modern Physics - Department of Speech, Music and ...

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110 CHAPTER 26. D’ALEMBERT’S PARADOX words: • It is known, however, that the solutions of the Euler equations generally agree very poorly with experience. I will recall only the Dirichlet sphere which, according to the theory, should move without friction. • I have now set myself the task to investigate systematically the laws of motion of a fluid whose viscosity is assumed to be very small. The viscosity is supposed to be so small that it can be disregarded wherever there are no great velocity differences nor accumulative effects. • This plan has proved to be very fruitful, in that, on the one hand, it produces mathematical formulas, which enable a solution of the problem and, on the other hand, the agreement with observations promises to be very satisfactory. • The most important aspect of the problem is the behavior of the fluid on the surface of the solid body, assuming that the fluid adheres to the surface and that, therefore, the velocity is either zero or equal to the velocity of the body. In the thin transition layer, the great velocity differences will then produce notable effects in spite of the small viscosity. • The most important practical results of these investigations is that, in certain cases, the flow separates from the surface at a point entirely determined by external conditions. A fluid layer, which is set in rotation by the friction on the wall, is thus forced into the free fluid. • On the one hand, we have the free fluid, which can be treated as nonviscous, while, on the other hand, we have the transition layers on the solid boundaries, impart their characteristic impress on the free flow by the emission of turbulent layers. • No. 7-10 show the flow around a cylindrical obstacle. No. 7 shows the beginning of the separation; Nos. 8-9, subsequent stages. No. 10 shows the permanent condition. The wake of turbulent water behind the cylinder swings back and forth, whence the momentary unsymmetrical appearance (referring to the pictures in Fig. 26.2). When PrandtI “set himself the task to investigate systematically the laws of motion of a fluid whose viscosity is assumed to be very small” he reacted
111 to the pressure of resolving d’Alembert’s paradox which had reached untolerable levels when the Wright brothers with their Flyer in 1903 showed that powered sustained heavier-than-air flight was possible in practice. A theory had to be found “under any circumstance and at whatever cost”. It was Prandtl who was chosen to do the job, and he did it like Born by making a deal. However, Prandtl did not, unlike Born, get any Nobel Prize as consolation for a lost soul...below we seek to answer why below... Figure 26.1: Wilbur Wright lifting with the Flyer in Dec 1903 while his brother Orwille is watching.
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Dr Faustus of Modern Physics Claes
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4 CONTENTS 6.5 Quantum Leap . . . .
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6 CONTENTS III Paradoxes and Catast
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8 CONTENTS 37.5 Heisenberg . . . .
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10 CONTENTS
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2 CONTENTS Figure 1: Einstein in fr
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4 CONTENTS
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Chapter 1 Deal with the Devil Newto
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1.2. BOLTZMANN: TRAGEDY OF CLASSICA
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1.3. PLANCK: FATHER OF MODERN PHYSI
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1.4. BOHR: DIRECTOR OF MODERN PHYSI
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1.5. PRANDTL: FATHER OF MODERN FLUI
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1.7. THE FAUSTUS LEGEND 17 from the
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Chapter 2 The Sacrifice The sacrifi
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Chapter 3 The Tragical History of t
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3.3. THE QUEST FOR MAGICS OF SCIENC
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3.4. THE PACT WITH LUCIFER 25 devot
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3.5. DR FAUSTUS SPEAKS 27 Figure 3.
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Chapter 4 Faust by Goethe What a ma
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Chapter 5 Oxford Faust Festival 201
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Chapter 6 Battle: Continuous vs Dis
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6.4. DAMNED QUANTUM JUMPING 35 tion
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Chapter 7 Zeno’s Paradox Hide our
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7.4. WHO RESOLVED ZENO’S ARROW PA
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Chapter 8 Wellposed vs Illposed I d
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8.4. SMALL CAUSE - BIG EFFECT: ILLP
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Chapter 9 Doped Scienctists or Scie
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Part II Modern Physics 47
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50 CHAPTER 10. BIRTH OF MODERN PHYS
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58 CHAPTER 11. THE FALL OF SCIENCE
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Page 74 and 75: 64 CHAPTER 12. FALL OF THE NOBEL PE
Page 76 and 77: 66 CHAPTER 13. FALLS OF MUSIC AND P
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Page 80 and 81: 70 CHAPTER 14. MYSTICISM OF MODERN
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Page 84 and 85: 74 CHAPTER 15. EINSTEIN’S ANNUS M
Page 86 and 87: 76 CHAPTER 16. DID GOD NOT CREATE U
Page 88 and 89: 78 CHAPTER 17. PHYSICS TODAY: STRIN
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Page 92 and 93: 82 CHAPTER 18. END OF PHYSICS? and
Page 94 and 95: 84 CHAPTER 19. QUANTUM FIELD MAGICS
Page 96 and 97: 86 CHAPTER 20. MAX BORN: I DID IT!
Page 104 and 105: 94 CHAPTER 21. EINSTEIN: I DID IT!
Page 111 and 112: Chapter 22 Loschmidt’s Reversibil
Page 113 and 114: Chapter 23 The Ultraviolet Catastro
Page 115 and 116: Chapter 24 The Twin Paradox Since t
Page 117 and 118: Chapter 25 Collapse of Schrödinger
Page 119: Chapter 26 D’Alembert’s Paradox
Page 123: Part IV Physics Tribunal 113
Page 126 and 127: 116 CHAPTER 27. ACCUSATIONS Figure
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Page 133 and 134: 28.1. LIFE AND WORK 123 constitutio
Page 135 and 136: 28.2. CONFESSION 125 source of this
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Page 139 and 140: Chapter 29 Planck 29.1 Life and Wor
Page 141 and 142: 29.1. LIFE AND WORK 131 Figure 29.1
Page 143 and 144: 29.2. CONFESSION 133 • In order t
Page 145 and 146: Chapter 30 Einstein 30.1 Life and W
Page 147 and 148: 30.2. CONFESSION 137 to philosopher
Page 149 and 150: 30.2. CONFESSION 139 to the extent
Page 151 and 152: Chapter 31 Bohr 31.1 Life and Work
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Page 155 and 156: 31.2. CONFESSION 145 classical conc
Page 157 and 158: Chapter 32 Prandtl 32.1 Life and Wo
Page 159 and 160: 32.2. CONFESSION 149 adheres to the
Page 161 and 162: Chapter 33 Motives Feeling and long
Page 163 and 164: 33.1. SUMMARY OF MOTIVES 153 Figure
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Page 168 and 169: 158 CHAPTER 34. STATISTICS: BOLTZMA
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160 CHAPTER 35. RADIATION: PLANCK
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162 CHAPTER 35. RADIATION: PLANCK
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164 CHAPTER 36. RELATIVITY: EINSTEI
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166 CHAPTER 36. RELATIVITY: EINSTEI
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168 CHAPTER 37. QUANTUM MECHANICS:
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178 CHAPTER 38. BOUNDARY LAYER: PRA
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180 CHAPTER 38. BOUNDARY LAYER: PRA
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Chapter 39 Nobel Prize: Planck The
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Chapter 40 Nobel Prize: Einstein +
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40.1. DOUBLE PLAY OF QUANTUM MECHAN
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Chapter 41 Atomic Bomb: Einstein +
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Chapter 42 Copenhagen Interpretatio
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193 Figure 42.1: Bohr and Einstein
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42.2. THE EPR CONTROVERSY 1935 195
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Chapter 43 Copenhagen Play Copenhag
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Chapter 44 Corruption of Climate Sc
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Chapter 45 Large Hadron Collider Ph
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Chapter 46 Mathematics as Magics
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Chapter 47 God as Mathematician or
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207 • Even if there is only one p
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Chapter 48 Penguin Logic Man has su
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211 • If we assume Heisenberg’s
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Part VIII One Mind vs Many Minds 21
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216 CHAPTER 49. GALILEO’S DIALOG
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218 CHAPTER 50. QFT AND MURDERER-VI
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220 CHAPTER 51. FINITE PRECISION CO
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222 CHAPTER 51. FINITE PRECISION CO
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224 CHAPTER 52. MANY-MINDS PHYSICS
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232 BIBLIOGRAPHY [13] A. Pais, Subt
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