In this expanded edition of Quanta, Logic and Spacetime, the logical base is greatly broadened and quantum-computational aspects of the approach are brought to the fore. The first two parts of this edition may indeed be regarded as providing a self-contained and logic-based foundation for — and an introduction to — the enterprise known as quantum computing.The rest of the work takes on the task (as in the first edition) of computing from first principles certain dynamical expressions which turn out to compare favorably with the Lagrangian densities of the (massless) Standard Model, including gravity. The logic of this process is now subject to greater formal rigor than was possible in the first edition, and the central thesis — that quantum physics at a fundamental level may itself be realized as a species of quantum computation — is strongly underscored.ErrataErrata (159 KB)Contents:Preliminaries:FoundationsQuantum SetsGroup Duality, Coherence and Cyclic ActionsComputational Paradigms:Natural DeductionQuantum LogicThe Computational Resources of Quantum LogicThe Plenum:A Quantum NetTowards a Correspondence Principle for the Quantum NetA Correspondence Principle for the Quantum NetDynamics IDynamics IIComparisons, Interpretations and SpeculationsReadership: Mathematicians and physicists.
QUANTA, LOGIC AND SPACETIME (2ND EDITION)
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