## Quanta, Logic and Spacetime (Google eBook) |

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### Contents

3 | |

23 | |

Group Duality Coherence and Cyclic Actions | 41 |

Natural Deduction | 73 |

5 Quantum Logic | 91 |

The Computational Resources of Quantum Logic | 137 |

A Quantum Net | 179 |

Towards a Correspondence Principle for the Quantum Net | 203 |

Dynamics I | 279 |

Dynamics II | 315 |

Comparisons Interpretations and Speculations | 377 |

429 | |

443 | |

451 | |

457 | |

A Correspondence Principle for the Quantum Net | 233 |

### Common terms and phrases

action vectors algebra map algebra structure amplitude analog associated axiom basis bispinor Boolean bosons calculus chapter choice classical coalgebra commutative component continuum correspondence principle defect defined denotes diagram Dirac maps dual dynamical elements equivalent expression fermions field finite dimensional Finkelstein formal formula function gauge given hand side Hilbert space Hopf algebra infinitesimal initial acts interpretation intuitionistic isomorphism Kripke Lagrangian last equation lattice Lie algebra line bundle linear map macroscopic experimenters manifold matrix Maxwell-Boltzmann modal monomial namely natural deduction notation notion obtain operator ortholattice orthomodel orthomodular orthomodular lattice pair physical proof proposition quan quantum logic quantum set qubit replaced representation represents resolution result reticular right-hand side rules second quantization selective acts sequence sequent calculus side of equation spacetime spinor subalgebra subspaces superposition tensor product theorem theory tion transformations transition underlying vector space Weyl equations yields

### Popular passages

Page ii - Quantum mechanical calculations follow a simple two-step pattern: you write down the answer, and then you do the computation.

Page 3 - pure states" of the system are in one-to-one correspondence with the normalized elements of the Hilbert space (hence in one-to-one correspondence with the rays, or one-dimensional subspaces, of the said Hilbert space). A general "state" of the system is identifiable with a certain convex combination of such normalized elements or pure states (cf.

Page 19 - Contraction then produces a sum of transition amplitudes whose value is independent of the representation of 6 as a linear combination of the type shown in equation (1.3.6).