## Bit-string Physics: A Finite and Discrete Approach to Natural PhilosophyWe could be on the threshold of a scientific revolution. Quantum mechanics is based on unique, finite, and discrete events. General relativity assumes a continuous, curved space-time. Reconciling the two remains the most fundamental unsolved scientific problem left over from the last century. The papers of H Pierre Noyes collected in this volume reflect one attempt to achieve that unification by replacing the continuum with the bit-string events of computer science. Three principles are used: physics can determine whether two quantities are the same or different; measurement can tell something from nothing; this structure (modeled by binary addition and multiplication) can leave a historical record consisting of a growing universe of bit-strings. This book is specifically addressed to those interested in the foundations of particle physics, relativity, quantum mechanics, physical cosmology and the philosophy of science. Contents: Non-Locality in Particle Physics; On the Physical Interpretation and the Mathematical Structure of the Combinatorial Hierarchy (with T Bastin, J Amson & C W Kilmister); On the Construction of Relativistic Quantum Theory: A Progress Report; Foundations of a Discrete Physics (with D McGoveran); Comment on OC Statistical Mechanical Origin of the Entropy of a Rotating Charged Black HoleOCO Anti-Gravity: The Key to 21st Century Physics; Crossing Symmetry is Incompatible with General Relativity; Operationalism Revisited: Measurement Accuracy, Scale Invariance and the Combinatorial Hierarchy; Discrete Physics and the Derivation of Electromagnetism from the Formalism of Quantum Mechanics (with L H Kauffman); Are Partons Confined Tachyons?; A Short Introduction to Bit-String Physics; Process, System, Causality and Quantum Mechanics: A Psychoanalysis of Animal Faith (with T Etter); and other papers. Readership: Researchers interested in the foundations of particle physics, relativity, quantum mechanics, physical cosmology and the philosophy of science." |

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### Contents

Introduction | 1 |

NonLocality in Particle Physics | 8 |

On the Physical Interpretation and the Mathematical Structure of | 64 |

Combinatorial Hierarchy | 108 |

A Progress Report | 117 |

Foundations of a Discrete Physics | 173 |

An Essay on Discrete Foundations for Physics | 266 |

On the FineStructure Spectrum of Hydrogen | 291 |

A Short Introduction to BitString Physics | 446 |

A Psychoanalysis | 484 |

BitString Physics Prediction of rj the Dark MatterBaryon Ratio and QM | 558 |

Acknowledgments | 577 |

Preface | 1 |

Generalization of a Theorem of Malta and Palis 11 | 11 |

Necessary Conditions of Optimality for a Class of Semilinear | 27 |

Semigroups and Exponential Stability of Nonautonomous Linear | 45 |

Comment by D McGoveran on Our Joint Work | 297 |

Other Second Order Corrections and Some Further Speculations | 305 |

Why? | 312 |

Comment on Statistical Mechanical Origin of the Entropy of | 318 |

The Key to 21s1 Century Physics | 322 |

Crossing Symmetry is Incompatible with General Relativity | 350 |

Discrete Physics and the Derivation of Electromagnetism from | 391 |

Discrete Physics and the Dirac Equation | 406 |

Are Partons Confined Tachyons? | 431 |

Permanence in PeriodicParabolic Ecological Systems with Spatial | 63 |

Exponential Bounds for Bifurcation Functions in Singular Systems | 77 |

Bifurcation from Homoclinic Orbits to a SaddleSaddle Point in | 91 |

Continuity of Entropy for a TwoParameter Family of Bimodal Maps 101 | 101 |

The Search for Periodic Solutions in Neural Networks 117 | 117 |

Singular ReactionDiffusion Mixed BoundaryValue Quenching | 127 |

Asymptotic Distribution of Entrance Times for Expanding Maps | 139 |

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algebra algorithm angular momentum ANPA assume asymptotic asymptotically stable attribute distance attribute velocity baryon Bastin bit-string bounded calculation classical combinatorial hierarchy condition conservation consider constant construction coordinate corresponding d-set d-sort David McGoveran defined definition denote derivation diffeomorphism Dirac equation discrimination discussion dynamical E-frame electromagnetic electron energy ensemble exists fine structure constant finite and discrete follows given gravitational H.P.Noyes hence independent input integral interaction interpretation interval invariant Kilmister label Lemma length lepton linear Markov chain Markov process mass Math mathematical matrix McGoveran measure momentum neutrinos Noyes orbit ordering operator paper parameter particle particle physics physicists positive problem PROGRAM UNIVERSE proof properties proton quantum mechanics quantum numbers quarks recursive relation relativistic result satisfies scale invariant scattering theory sequence solution space stability string subset symmetry Theorem theory transformation unique variables vector field zero