natural theology > notes > 28 october 2001

Notes

[Notebook TTC, DB 54]

[Sunday 28 October 2001 - Saturday 3 November 2001]

[page 202]

Sunday 28 October 2001

Monday 29 October 2001

Tuesday 30 October 2001

Combination of Hilbert spaces by direct product |a>|b>.

Quantum no-cloning = 'destructive copying' - motion. Only abstract states can be non-destructively copied.

Quantum has no history. So where do the probability structures that we see come from? What are the constraints shaping the world?

A day of construction. Shapes constrained by maximum utility, minimum action, most efficient use of capital. Every shape is a dynamic thing.

Wednesday 31 October 2001

Thursday 1 November 2001

Friday 2 November 2001

Saturday 3 November 2001

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Feynman, Richard P , and Albert P Hibbs, Quantum Mechanics and Path Integrals, McGraw Hill 1965 Preface: 'The fundamental physical and mathematical concepts which underlie the path integral approach were first developed by R P Feynman in the course of his graduate studies at Princeton, ... . These early inquiries were involved with the problem of the infinte self-energy of the electron. In working on that problem, a "least action" principle was discovered [which] could deal succesfully with the infinity arising in the application of classical electrodynamics.' As described in this book. Feynam, inspired by Dirac, went on the develop this insight into a fruitful source of solutions to many quantum mechanical problems.
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Papers

Krystal, Arthur, "Age of Reason", New Yorker, 83, 32, 22 October 2007, page 94 - 103. 'In his hundred years, Jacques Barzun has learned a thing or two.'. back

Landauer, Rolf, "Information is a physical entity", Physica A, 263, 1, 1 February 1999, page 63-7. 'This paper, associated with a broader conference talk on the fundamental physical limits of information handling, emphasizes the aspects still least appreciated. Information is not an abstract entity but exists only through a physical representation, thus tying it to all the restrictions and possibilities of our real physical Universe. The mathematician's vision of an unlimited sequence of totally reliable operations is unlikely to be implementable in this real Universe. Speculative remarks about the possible impact of that, on the ultimate nature of the laws of physics are included.'. back