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

### What people are saying - Write a review

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 | |

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 |

555 | |

556 | |

### Other editions - View all

The Atomic World Spooky? It Ain't Necessarily So!: Emergent Quantum ... Theo van Holten No preview available - 2016 |