The Atomic World Spooky? It Ain't Necessarily So!: Emergent Quantum Mechanics, How the Classical Laws of Nature Can Conspire to Cause Quantum-Like Behaviour

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Springer, Dec 9, 2016 - Science - 561 pages
The present book takes the discovery that quantum-like behaviour is not solely reserved to atomic particles one step further. If electrons are modelled as vibrating droplets instead of the usually assumed point objects, and if the classical laws of nature are applied, then exactly the same behaviour as in quantum theory is found, quantitatively correct! The world of atoms is strange and quantum mechanics, the theory of this world, is almost magic. Or is it? Tiny droplets of oil bouncing round on a fluid surface can also mimic the world of quantum mechanics. For the layman - for whom the main part of this book is written - this is good news. If the everyday laws of nature can conspire to show up quantum-like phenomena, there is hope to form mental pictures how the atomic world works.
The book is almost formula-free, and explains everything by using many sketches and diagrams. The mathematical derivations underlying the main text are kept separate in a -peer reviewed - appendix. The author, a retired professor of Flight Mechanics and Propulsion at the Delft University of Technology, chose to publish his findings in this mixed popular and scientific form, because he found that interested laymen more often than professional physicists feel the need to form visualisations of quantum phenomena.
 

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I purchased this book and subsequently read it cover to cover. (Not done all the appendices yet!). If you have seen the 2D macroscopic experiments of Couder and the mathematical treatment of said oil drop experiments by Bush, or are more than casually interested in emergent quantum mechanics then this book is a great asset to your library. The book is not in the rushed manner of a scientific paper. It should also form part of every skeptical quantum student's reading list.
Theo's model is remarkably simple, yet it can recreate many of the results of a normal quantum potential well. He does this without using quantum mechanics at all. His electron is basically a flexible drop vibrating some millions of times faster than Compton frequencies. The beat effects of this rapid vibration self interfering produce de-Broglie waves and also solve the riddle of why electrons don't radiate when in a stationary state.
He also uses the model to determine the value of hbar, which comes from fitting his model to the electron, muon and tau masses.
The discussion on electron radiation formula (accelerating electrons don't radiate, it requires a jerk + other effects) is spot on and would have I believe delighted Feynman. The math as presented in the main chapters is lightweight yet so carefully laid out as to be convincing.
 

Contents

1 Introduction and Outline
1
The Full List
77
3 The Transition Region as Predicted by Quantum Mechanics
87
Model Assumptions
103
5 Determining the Electromagnetic Self Forces
111
The Electron the Muon and the Tau Particle
147
A Pictorial Representation of the Equations of Motion
167
Matter Waves
178
F2 Conservation of Energy
422
F3 Equations of Motion Expressed in Terms of Pulsation Perturbations
424
F4 The Character of the Nonlinearities Chaotic Motion and Possible Degeneration into Harmonic Motion
426
F5 Equations of Motion Linearised for Small Pulsations
435
F6 Short Notations for the Linearised Equations of Motion
436
F7 Solution of the Linearised Equations of Motion Undamped Conditions No Potential Gradients
437
F8 Asymptotic Approximation for the Damped Motion
442
De Broglies Formula and Plancks Constant the Concept of Photons
448

9 Energy Quantisation in Potential Wells
201
The Droplet Is Sometimes Invisible
217
11 Schrödingers Equation
230
12 On Radiation and Radio Silence Interaction Between Charges and Radiation
251
13 On Bohrs Radiation Out of Nothing and On Photons the Particles With a Wavelength
279
14 Summing Up the Successes and the Remaining Mysteries
304
Bohrs Atom Schrödingers Cat Spooky Interactions and the DoubleSlit
337
The Direction Towards Einsteins Hidden Variable?
365
General
369
A2 Field Equations to Be Satisfied
373
A3 The Boundary Value Problem for the Potentials
374
Matched Asymptotic Expansion Procedure Principles
377
B2 Determining the Far Field
380
B3 Construction of a Composite Field
384
B4 The Matching Condition
385
B5 Remark on Instantaneous Interactions Within the Near Field
386
The Potential Fields of a Moving Point Charge
387
C2 The Outer Expansion of the Near Field
389
C3 The Far Field and Its Inner Expansion
392
C4 Matching the Near and Far Field Complete Expression for the Near Field Scalar Potential
394
C5 The Vector Potential of a Moving Point Charge
395
Self Forces on a Droplet of Charge Translation Direction
398
D2 Slender Body Approximation
400
D3 Switch from Lagrangian to Eulerian Description
401
D4 TwoParameter Representation of the Force Field Eulerian Description
402
D5 Self Force in ZDirection
403
D6 Equation of Motion for the Translation of the Droplet of Charge
407
D7 The Electromagnetic Mass
410
D8 Momentum Equation
411
Squeezing Self Forces Pulsation
413
E2 Nonelectromagnetic Squeezing Forces
416
The Equations of Motion and Their Solution
421
G2 De Broglies Formula and Plancks Constant
462
G3 Time and Length Scale of the Pulsation
464
G4 Time and Length Scale of the de Broglie Waves
466
G5 Order of Magnitude of the Time Scale of Damping by Radiation
467
The Droplet of Charge Within a Potential Well Energy Quantisation
471
H2 Alternative Solution of the Equation of Motion in a Potential Box
479
H3 The Phase of the Beat Phenomenon in a Potential Box
485
H4 Alternative Formulation of the Quantisation Condition Within a Potential Box
490
H5 Energy Width and TimeEnergy Uncertainty Qualitative
491
H6 Stability of the Stationary States Qualitative
493
H7 The Relation Between the Pulsation Beats and Position Probability Density
495
H8 The Rectangular Potential Well Qualitative
500
H9 Tunneling Effect Qualitative
504
H10 Energy Quantisation in General Potential Wells Incl Application to Parabolic Well
505
H11 Bohrs Radiation Formula Superposition of States Plancks EnergyFrequency Relation
514
Miscellaneous Subjects
519
I2 A Heuristic Derivation of the Schrödingers Equation for the Steady State
523
The Radiation Field
527
J2 The Far Field of the Vector Potential of the Entire Droplet
529
J3 Field Strengths in the Far Field
530
J4 Poynting Vector
531
Combining the Droplets Motion and the Radiation Field Bohrs Radio Silence
533
K2 Transient Phenomena and Noncausality
536
K3 A Natural Way to Recover Causality During Transients
542
Proposed Explanation
545
K5 The Radiation Field Associated with Incoming Waves
546
K6 Self Force on a Droplet in the Case of an Incoming Wave
551
K7 The Form of the Radiation Field When Radiation Resistance Is Absent
552
References
555
Index
556
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