Bit-string Physics: A Finite and Discrete Approach to Natural Philosophy (Google eBook)

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World Scientific, Jan 1, 2001 - Science - 577 pages
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We 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.
  

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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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