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Notes

[Notebook Turkey, DB 55]

[Sunday 20 October 2002 - Saturday 26 October 2002]

[page 119]

Sunday 20 October 2002

A life = event = {event}

Every event is addressed by its history.

Networks are LOCAL

the LOCAL -> GLOBAL transition is made possible by SCALE INVARIANCE which has something to do with INTEGRATION and NORMALIZATION.

The observable physical world is the normalized world. Behind it the infinities and ghosts work their explanatory magic.

Veltman: What we ask is how does the world work. We can learn by observation or explanation (or at best, a superposition of both) Once we know how something works (like a dance, put your left foot forward . . . ) we can join in, and joining in is essential to survival, so that we are tense when we cannot join in and relaxed when we feel that we are IN. Veltman.

Veltman 15: Start with e = h nu, Planck-Einstein relation (FUNCTION MAPPINGS)

Postulates of quantum mechanics:

1 "a particle with well defined momentum (and energy) is described by a plane wave" ie a plane wave encodes the same information as the particle but in a different code.

2. Superposition

The mathematical implementation of this is done in infinite dimensional Hilbert space.

[page 120]

Cooperate and rejoice vs sabotage and recriminate.

16: "There is a problem because the momentum range is continuous. This is usually considered a formal problem . . . Assume that the Universe is a square box with volume V and impose periodic boundary conditions. This induces discrete frequencies and momenta" (as does the confinement of electrons in an atom)

NOT FREEDOM => STRUCTURE

Probability density is not Lorentz invariant, only the total probability must be Lorentz invariant and equal to 1.

NETWORKS transmit PROBABILITY CURRENT; ENTROPY CURRENT; INFORMATION CURRENT

(we usually suppress the term current)

A reversible network conserves probability so Kirchoff's law applies at the nodes.

Explanation begins with pipes [the plumbing approach]

Action is considered to connect Theology and Economics. In the traditional theology this is scarcely possible.

1. Universal welfare (SCALAR) - no details - CARDINAL
2. Income equalization (VECTOR) - we need complex details of individual - ORDINAL

Physics needs complex numbers in order to guarantee the completeness of the functional algebra upon which it is built.

Solution = fixed point = special point.

[121]

Formation of a relationship as grace = capital gain. We now have the means [capital] to reproduce ourselves.

Splitting up: from an emotional point of view rather complex, but practically, if reason and justice prevail, relatively straightforward, even when there is property, enterprise and offspring.

Monday 21 October 2002
Tuesday 22 October 2002

Essay Drusilla Modjeska, SMH Spectrum 19-20/10/02 p 11 "because they proceed with the spreading movement, horizontal and meandering, that the essay - a porous conversational, sometimes moody creature - makes its own."

Aristotle Analytica Posteriora 71b14 "Consequently the proper object of unqualified scientific knowledge is something which cannot be other than it is". Moerbecke "Quare, cuius simpliciter est scientia, hoc impossibile est aliter se habere." Aristotle

Wednesday 23 October 2002
Thursday 24 October 2002
Friday 25 October 2002
Saturday 26 October 2002

Related sites

Concordat Watch

Revealing Vatican attempts to propagate its religion by international treaty


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Further reading

Books

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Ross , W D (editor) , Aristotle's Prior and Posterior Analytics. a Revised Text with Introduction and Commentary , Oxford University Press 2000  
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Veltman, Martinus, Diagrammatica: The Path to the Feynman Rules, Cambridge University Press 1994 Jacket: 'This book provides an easily accessible introduction to quantum field theory via Feynman rules and calculations in particle physics. The aim is to make clear what the physical foundations of present-day field theory are, to clarify the physical content of Feynman rules, and to outline their domain of applicability. ... The book includes valuable appendices that review some essential mathematics, including complex spaces, matrices, the CBH equation, traces and dimensional regularization. ...' 
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Links
Aristotle The Internet Classics Archive | Posterior Analytics by Aristotle Translated by G R G Mure 'All instruction given or received by way of argument proceeds from pre-existent knowledge. This becomes evident upon a survey of all the species of such instruction. The mathematical sciences and all other speculative disciplines are acquired in this way, and so are the two forms of dialectical reasoning, syllogistic and inductive; for each of these latter make use of old knowledge to impart new, the syllogism assuming an audience that accepts its premisses, induction exhibiting the universal as implicit in the clearly known particular. Again, the persuasion exerted by rhetorical arguments is in principle the same, since they use either example, a kind of induction, or enthymeme, a form of syllogism. ' back

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