Some years ago the German doctor of chemistry Peter Plichta published a revolutionary theory in which he is claiming matter and energy to be encoded in numbers. Because the style of Plichta_s writings, see God's Secret Formula: The Deciphering of the Riddle of the Universe and the Prime Number Code, was not always appropriate for scientific argumentation, he could not overcome the initial resistance to his ideas and was seen by the multitude as a mere crank. It was even not advisable to refer to Plichta in a serious scientific paper
Therefore, this book by Jan Boeyens, one of the leading professors of theoretical chemistry, and his coauthor is an extraordinary event, indeed the Newest Kind of Science, see also Chemistry from First Principles. We can be sure that in some years any student of chemistry and physics will be confronted with this new way of thinking, rooted in Plichta's original idea of the prime number cross.
Author(s): Jan C. A. Boeyens, Demetrius C. Levendis
Edition: 1
Publisher: Springer
Year: 2008
Language: English
Pages: 380
Contents......Page 10
Preface......Page 5
1.1 Number Magic......Page 15
1.2 Periodic Structures......Page 17
1.3 Nuclear Synthesis......Page 19
1.4 Nuclidic Periodicity and Stability......Page 20
1.5 Hidden Symmetry......Page 22
1.6 Number Patterns......Page 24
1.7 Cosmic Structure......Page 26
1.8.1 Nuclide Abundance......Page 27
1.8.3 Neutron Scattering......Page 28
1.8.5 Nuclear Structure......Page 29
1.9 Holistic Symmetry......Page 31
2.1 Introduction......Page 32
2.2 Numbers and Arithmetic......Page 33
2.2.1 Arithmetic......Page 34
2.2.2 Divisibility......Page 36
2.2.3 Prime Numbers......Page 37
2.2.4 Magic Numbers......Page 39
2.2.5 Fundamental Theorem of Arithmetic......Page 43
2.2.6 Gaussian Integers......Page 45
2.2.7 The Binomial Equation......Page 46
2.2.8 Algebraic Number Theory......Page 47
2.3 Distribution of Prime Numbers......Page 49
2.3.1 Twin Primes......Page 51
2.3.2 The Sieve Revisited......Page 53
2.3.3 Prime-generating Polynomials......Page 54
2.4 Fibonacci Numbers......Page 56
2.4.1 The Golden Ratio......Page 57
2.4.2 Phyllotaxis and Growth......Page 60
2.5 Rational Fractions......Page 61
2.5.1 The Farey Sequence......Page 63
2.6.1 Congruences......Page 65
2.6.2 Higher Congruences......Page 68
2.7 Periodic Arithmetic Functions......Page 74
2.7.1 The Lagrange Resolvent......Page 76
2.7.2 Gaussian Sums......Page 77
2.7.3 Finite Fourier Series......Page 79
2.7.4 Periodic Functions......Page 80
3.1 Historical Development......Page 83
3.1.1 The Theory of Combustion......Page 85
3.1.2 Atomic Theory......Page 88
3.1.3 Measurement of Atomic Weights......Page 93
3.1.4 The Periodic Law......Page 96
3.1.5 Interlude......Page 103
3.1.6 Atomic Structure......Page 105
3.1.7 Atomic Number......Page 110
3.2.1 Atomic Line Spectra......Page 113
3.2.2 Quantum Theory......Page 114
3.2.3 The Bohr Model......Page 118
3.2.4 Static Model of the Atom......Page 121
3.2.5 The Sommerfeld Model......Page 125
3.2.6 Wave-mechanical Atomic Model......Page 126
3.2.7 Aufbau Procedure......Page 138
3.3 Conclusion......Page 140
4.1 Introduction......Page 142
4.2 Mass and Binding Energy......Page 143
4.2.1 Models of the Nucleus......Page 145
4.2.2 The Semi-empirical Mass Formula......Page 147
4.2.3 Nuclear Stability......Page 149
4.2.4 Nuclear Synthesis and Abundance......Page 153
4.3.1 The Shell Model......Page 163
4.3.2 Strong Interaction......Page 165
4.4 Particle Physics......Page 168
4.4.1 Antimatter......Page 169
4.4.2 The CPT Theorem......Page 172
4.4.3 The Quark Model......Page 176
4.4.4 Deep Inelastic Scattering......Page 182
4.4.5 Quantum Chromodynamics......Page 189
4.4.6 Primary Structure......Page 191
5. Elements of Cosmography......Page 193
5.1 Historical......Page 194
5.2.1 Olbers Paradox......Page 197
5.2.2 Zwicky Paradox......Page 199
5.3 Cosmological Models......Page 200
5.3.1 The Expanding Universe......Page 201
5.3.2 Plasma Cosmology......Page 206
5.3.3 Curved-space Cosmology......Page 207
5.3.4 The Anthropic Principle......Page 208
5.3.5 Elemental Synthesis......Page 209
5.4 Chirality of Space–time......Page 210
5.4.1 The Helicoid......Page 211
5.4.3 General Theory......Page 212
5.5 The Vacuum Substratum......Page 214
5.5.1 Implicate Order and Holomovement......Page 215
5.5.2 Information Theory......Page 216
6.1 Introduction......Page 219
6.2 Number Spiral and Periodic Laws......Page 225
6.3 General Periodic Function......Page 232
6.4 Hidden Symmetry......Page 235
6.5 Neutron Periodicity......Page 238
6.5.1 The Magic Diagram......Page 243
6.6 Nuclide Periodicity......Page 245
7.1 Introduction......Page 247
7.2 Nuclear Synthesis by α-particle Addition......Page 248
7.3 Nuclides in Farey Sequence......Page 250
7.4 Triangle of Stability......Page 252
7.4.1 Nuclidic Periodicity......Page 255
7.5 Nuclear Stability......Page 257
7.5.1 Nuclear Binding Energy......Page 260
7.5.2 β-Stability......Page 262
7.6 Golden Parabola......Page 265
8.1 Periodicity......Page 268
8.2 Nuclear Stability......Page 271
8.2.1 Cosmic Abundance......Page 273
8.3 Nuclear Structure......Page 275
8.3.1 Bound-state β[sup(–)] Decay......Page 276
8.3.2 Nuclear Spin......Page 277
8.3.3 Packing of Nucleons......Page 287
8.3.4 Nuclear Size and Shape......Page 290
8.3.5 Parity......Page 294
8.3.6 α-Instability......Page 297
9.1 The Golden Ratio......Page 300
9.2 Nuclear Structure......Page 302
9.3 The Five Domains......Page 303
9.3.1 A Golden Diagram......Page 306
9.4 Matter Transformation......Page 307
9.4.1 The Cosmic Phase Diagram......Page 309
10.1 Introduction......Page 311
10.2 Nuclide Periodicity......Page 312
10.2.1 Superconducting Nuclides......Page 313
10.2.2 Periodic Effects......Page 316
10.3 Superfluidity......Page 317
10.4 Structure of the Nucleus......Page 320
10.5.1 The Phase Transition......Page 322
10.5.3 Crystal Chemistry......Page 325
10.5.4 An Alternative Mechanism......Page 333
10.5.5 Hall Effect......Page 339
10.6 Nuclear Stability......Page 340
11.1 Introduction......Page 343
11.2 Electronegativity......Page 344
11.2.1 The Quantum-Potential Scale......Page 346
11.3 Chemical Bonding......Page 350
11.3.1 Point-Charge Model......Page 354
11.3.2 The Diatomic Energy Function......Page 358
11.3.3 Bond Order......Page 360
11.4 Epilogue......Page 363
Bibliography......Page 364
