| Preface |
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vii | |
| Introduction |
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xiii | |
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Chaotic quantization of field theories |
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1 | (26) |
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1 | (2) |
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Dynamical generation of the noise |
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3 | (3) |
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The free Klein-Gordon field with chaotic noise |
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6 | (3) |
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Chaotic quantization in momentum space |
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9 | (2) |
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Gauge fields with chaotic noise |
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11 | (2) |
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Distinguished properties of Tchebyscheff maps |
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13 | (4) |
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17 | (6) |
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23 | (4) |
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27 | (30) |
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Motivation for chaotic strings |
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27 | (3) |
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Anti-integrable limit of a continuum φN+1-theory |
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30 | (3) |
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33 | (2) |
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Yet another way to derive the chaotic string |
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35 | (3) |
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38 | (3) |
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41 | (3) |
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44 | (3) |
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47 | (10) |
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Vacuum energy of chaotic strings |
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57 | (18) |
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Self energy of the N = 3 string |
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57 | (3) |
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Self energy of the N = 2 string |
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60 | (2) |
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Self energy for general N |
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62 | (3) |
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Interaction energy of chaotic strings |
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65 | (2) |
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67 | (2) |
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69 | (6) |
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Phase transitions and spontaneous symmetry breaking |
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75 | (20) |
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Some general remarks on phase transitions |
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75 | (4) |
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Vacuum expectation on 1-dimensional lattices |
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79 | (3) |
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Real scalar field on d-dimensional lattices |
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82 | (8) |
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Complex scalar field with U(1) symmetry |
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90 | (2) |
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Chaotic Higgs field with SU(2) symmetry |
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92 | (3) |
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Stochastic interpretation of the uncertainty relation |
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95 | (18) |
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Fluctuations of momenta and positions |
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95 | (2) |
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Newton's law and self interaction |
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97 | (2) |
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Coulomb forces and Laplacian coupling |
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99 | (4) |
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Duality of interpretations |
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103 | (1) |
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104 | (2) |
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Physical interpretation of discrete string symmetries |
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106 | (2) |
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Fluctuations of the metric and a 1+1 dimensional model of quantum gravity |
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108 | (5) |
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Generalized statistical mechanics approach |
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113 | (18) |
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113 | (3) |
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States of maximum information |
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116 | (2) |
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States of minimum correlation |
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118 | (1) |
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Nonextensive Statistical mechanics |
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119 | (5) |
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Energy dependence of the entropic index q |
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124 | (2) |
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Fluctuations of temperature |
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126 | (3) |
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Klein-Gordon field with fluctuating momenta |
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129 | (2) |
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Interaction energy of chaotic strings |
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131 | (20) |
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Analogue of the Einstein field equations |
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131 | (2) |
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The 3A string---electric interaction strengths of electrons and d-quarks |
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133 | (3) |
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The 3B string---weak interaction strengths of neutrinos and u-quarks |
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136 | (3) |
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High-precision prediction of the electroweak parameters |
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139 | (2) |
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The 2A string---strong interaction strength at the W-mass scale |
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141 | (3) |
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The 2B string---the lightest scalar glueball |
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144 | (1) |
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The 2A - and 2B- strings --- towards a Higgs mass prediction |
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145 | (3) |
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Gravitational interaction |
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148 | (3) |
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Self energy of chaotic strings |
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151 | (24) |
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Self interacting scalar field equations |
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151 | (1) |
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The 3A string -weak and strong interactions of heavy fermion flavors |
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152 | (4) |
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The 3B string - further mixed states of heavy fermion flavors |
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156 | (2) |
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The 2A string - further bosons |
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158 | (2) |
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The 2B string - Yukawa interaction of the top quark |
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160 | (2) |
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Yukawa and gravitational interactions of all quarks and leptons |
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162 | (6) |
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168 | (4) |
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The 2A- and 2B- strings - bosonic mass ratios |
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172 | (3) |
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Total vacuum energy of chaotic strings |
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175 | (16) |
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Hadronization of free quarks |
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175 | (4) |
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179 | (3) |
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182 | (4) |
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186 | (1) |
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Planck scale interpretation |
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186 | (1) |
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187 | (4) |
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191 | (16) |
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Supersymmetric versus non-supersymmetric theories |
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191 | (3) |
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A supersymmetric scenario |
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194 | (2) |
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A non-supersymmetric scenario |
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196 | (2) |
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Final unification at the Planck scale |
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198 | (2) |
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Simplification for sin2 θW = 1/2 |
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200 | (2) |
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Bosons at the Planck scale |
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202 | (1) |
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Some thoughts on supersymmetry |
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203 | (4) |
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11-dimensional space-time and quantum gravity |
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207 | (22) |
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Chaotic dynamics in compactified dimensions |
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207 | (3) |
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Quantized Einstein field equations |
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210 | (3) |
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N = 1 strings and Minkowski space |
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213 | (2) |
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Potentials for the N = 1 strings and inflation |
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215 | (2) |
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Black holes, Hawking radiation, and duality |
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217 | (3) |
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220 | (2) |
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Brief history of the universe - as seen from chaotic strings |
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222 | (7) |
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229 | (24) |
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Motivation and main results |
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229 | (3) |
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The chaotic string dynamics |
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232 | (2) |
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Vacuum energy of chaotic strings |
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234 | (3) |
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Fixing standard model parameters |
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237 | (3) |
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240 | (7) |
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247 | (2) |
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249 | (4) |
| Bibliography |
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253 | (14) |
| Index |
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267 | |
Lisainfo e-raamatute kohta