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Notes

[Notebook Turkey, DB 55]

[Sunday 14 April 2002 - Saturday 20 April 2002]

[page 67]

Sunday 14 April 2002

This is the beginning of a task that will never be completed. But I hope to make it a complete beginning, that is a firm foundation to hold the superstructure to come.

One of the good things about this quest is the flow of feeling that it creates from abject helplessness to creative excitement. This feeling may be the expression of a mental oscillator, or the superposition of a large number of mental oscillators. By examining my own feelings, I may be guided toward a better understanding of the internal state of every particle in the Universe.

CARDINAL CONFINEMENT = DIMENSION, DEGREES OF FREEDOM.

[page 68]

Physical theology interprets quantum field theory from the microscopic level to all levels via the transfinite network.

quanta <-> packets

Each statement in this book (including this) is written under the influence of a force or motivation which is driven by the feeling that it is important to write this down because it is a step along the way. It is an emission, rather like the emission of a photon, which occurs with a probability determined by the overlap (consistency) between the states of an atom and the state of emitting a photon.

Weinberg I 1: Wigner describes particles as representations of the inhomogeneous Lorentz group. In the transfinite network, these particles are Turing machines, ie particles that move themselves from one place (their input state) to another (output state) via a field (program) contained in the particle. REPRESENTATION = REALIZATION. Weinberg.

What happens in the TN? It is forever alive, transforming itself from state to state using the ℵ0 fields encoded in ℵ0 Turing machines.

HALT = ARRIVE; RUN = leave.

Monday 15 April 2002

Weinberg I 52 'Indeed most (and perhaps all) of the observables of physics such as angular momentum, [position, energy, count, frequency] momentum, arise in this way from symmetry transformations'.

Angular momentum is a symmetry (common to all) a universal (and so abstract?). We are back to physics being the most abstract science in theory, most concrete in practice.

[page 69]

PHYSICS IS THE STUDY OF OBSERVABLES.

Metaphysics is the study of the inferred structures that make the observables behave the way they do.

The group of points of view is the group of different mappings of one situation. So we can see a permutation group of Hilbert spaces where we simply permute the orthogonal axes, which is indistinguishable from a permutation of the labelling.

Tuesday 16 April 2002
Wednesday 17 April 2002
Thursday 18 April 2002
Friday 19 April 2002

. . .

Saturday 20 April 2002

Christianity spreads by bureaucratic fiat, science by love and money.

 

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Further reading

Books

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Weinberg, Steven, The Quantum Theory of Fields Volume I: Foundations, Cambridge University Press 1995 Jacket: 'After a brief historical outline, the book begins anew with the principles about which we are most certain, relativity and quantum mechanics, and then the properties of particles that follow from these principles. Quantum field theory then emerges from this as a natural consequence. The classic calculations of quantum electrodynamics are presented in a thoroughly modern way, showing the use of path integrals and dimensional regularization. The account of renormalization theory reflects the changes in our view of quantum field theory since the advent of effective field theories. The book's scope extends beyond quantum elelctrodynamics to elementary partricle physics and nuclear physics. It contains much original material, and is peppered with examples and insights drawn from the author's experience as a leader of elementary particle research. Problems are included at the end of each chapter. ' 
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