## Combinatorial PhysicsThe authors aim to reinstate a spirit of philosophical enquiry in physics. They abandon the intuitive continuum concepts and build up constructively a combinatorial mathematics of process. This radical change alone makes it possible to calculate the coupling constants of the fundamental fields which OCo via high energy scattering OCo are the bridge from the combinatorial world into dynamics. The untenable distinction between what is OCyobservedOCO, or measured, and what is not, upon which current quantum theory is based, is not needed. If we are to speak of mind, this has to be present OCo albeit in primitive form OCo at the most basic level, and not to be dragged in at one arbitrary point to avoid the difficulties about quantum observation. There is a growing literature on information-theoretic models for physics, but hitherto the two disciplines have gone in parallel. In this book they interact vitally." |

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### Contents

1 | |

7 | |

CHAPTER 3 Complementarity and All That | 17 |

CHAPTER 4 The Simple Case for a Combinatorial Physics | 25 |

CHAPTER 5 A Hierarchical Model Some Introductory Arguments | 33 |

CHAPTER 6 A Hierarchical Combinatorial Model Full Treatment | 57 |

CHAPTER 7 Scattering and Coupling Constants | 91 |

CHAPTER 8 Quantum Numbers and the Particle | 121 |

CHAPTER 9 Towards the Continuum | 135 |

CHAPTER 10 Objectivity and Subjectivity Some isms | 153 |

References | 165 |

169 | |

173 | |

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### Common terms and phrases

anthropic principle argument arises arrays atom basic bit-strings Bohr Bohr’s calculation Chapter characteristic functions classical mechanics classical physics classical theory-language combinatorial physics complementarity concepts construction continuum conventional corresponding coupling constants d.c.subsets deﬁned deﬁnition describe dimension discrete discriminately closed subset discrimination system discussion dynamical Eddington entities equivalent example existence experimental fact ﬁeld ﬁnd ﬁne-structure constant ﬁnite ﬁring ﬁrst ﬁt ﬁxed frequency hierarchy high energy high energy physics idea identiﬁcation inﬁnite interaction interpretation label least element Leibniz linear linearly independent logical mathematical matrix McGoveran measurement mechanics Milne’s notation Noyes number of dcss observation operation Parker-Rhodes particles perms physicists point of view position possible quantum numbers quantum physics quantum theory r-times recursive relation restriction result scale scale-constants scattering processes sequence set of elements signiﬁcance spatial special relativity speciﬁed stage strings structure symbols symmetry theorem things thinking total number values vector space zero