Quanta, Logic and Spacetime (Google eBook)
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
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A Correspondence Principle for the Quantum Net
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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.