natural theology > notes > 6 january 2002

Notes

[Notebook Turkey, DB 55]

[Sunday 6 January 2002 - Saturday 12 January 2002]

[page 28]

Sunday 6 January 2002

OBJECTIVITY : SYMMETRY. There are degrees of objectivity corresponding to degrees of symmetry. At the root, special relativity allows us to transform away the effects of spacetime difference to see exactly what is happening elsewhere and compare it to what is happening here.

Objective measurement + objective criterion (point of discontinuity) = objective decision process, a process that respects the peer level of the symmetry and preserves the symmetry (almost) everywhere.

COMPLEXITY = number of bits packed into null geodesic: the complexity of the null, ie eternal elements of the Universe (god).

We adopt traditional religious terminology and name the Universe God. By Universe we mean all that is accessible to us, and all that we conjecture lies behind this.

Monday 7 January 2002

Tuesday 8 January 2002

Wednesday 9 January 2002

A spy novel (Honourable Schoolboy) is a point in the space of spy novels. le Carre. It is about spies (part of the bureaucracy) who exist an interact in the space

[page 29]

of spies which is part of the space of bureaucrats, part of the space of workers, part of the space of people . . .

Mathematics is about points and spaces, neither of which is intelligible without the other. Transfinite cardinal and ordinal numbers show us how points and spaces relate. In the beginning we have identity POINT == SPACE = consistency. From consistency grows (by Cantor series expansion) the transfinite numbers which are in fact nested points and spaces, since every point is also a space and vice versa. This is the fundamental duality in formal representations of structure. So a point is represented by a vector in a space, and a space is a set of points with certain fundamental relationships to one another which can be expressed as constraints on the elements of the vectors (ordered sets) that represent the points. So a space is a set of points (vectors) and a fundamental property of a space is the cardinal number of its basis. Quantum mechanics operates in an infinite dimensional complex Hilbert space. A basic constraint on the transformation of the vectors representing physical states in this space is that the integrated probability density summed over possible outcomes of a certain starting situation remains 1 as the system evolves, ie the relative probabilities of different outcomes changes. Copy Feynman on all this. Feynman. Now how do we understand the relationship between the vectors and wave functions of separate systems that come into communication with one another a) in physical terminology - CARDINAL
b) in terms of the transfinite network, ie ORDINAL

Then see the 'big bang' as the functioning of the 'cardinal-ordinal bootstrap'

Nature 2002: Physical theology, ie from infinite dimensional Hilbert space to transfinite Hilbert space, which is the natural home of the 'wave function of the Universe.'

[page 30]

So physical theology carries us from the book of nature to god in the same way that christian theology carries us from the bible to Christian (eg Thomistic) theology.

PHYSICAL THEOLOGY is the title of the book. Identical to NATURAL THEOLOGY ie 'physis' (Greek) = 'natura' (Latin)

Thursday 10 January 2002

Friday 11 January 2002

Saturday 12 January 2002

Related sites

Concordat Watch

Revealing Vatican attempts to propagate its religion by international treaty

You may copy this material freely provided only that you quote fairly and provide a link (or reference) to your source.

Feynman, Richard P, and Robert B Leighton, Matthew Sands, The Feynman Lectures on Physics (volume 3) : Quantum Mechanics, Addison Wesley 1970 Foreword: 'This set of lectures tries to elucidate from the beginning those features of quantum mechanics which are the most basic and the most general. ... In each instance the ideas are introduced together with a detailed discussion of some specific examples - to try to make the physical ideas as real as possible.' Matthew Sands
Amazon back

le Carre, John, The Honourable Schoolboy, Pocket Books 2000 Amazon: 'John le Carré's classic novels deftly navigate readers through the intricate shadow worlds of international espionage with unsurpassed skill and knowledge, and have earned him - and his hero, British Secret Service agent George Smiley - unprecedented worldwide acclaim. In The Honourable Schoolboy, George Smiley is made leader of the Circus (the British Secret Service) in the wake of a demoralizing infiltration by a Soviet double agent. Devising a counterattack, Smiley puts his own hand-picked operative into action. His point of attack: the Far East -- a burial ground of French, British, and American colonial cultures, and fabled testing ground of patriotic allegiances.'
Amazon back

Zee, Anthony, Quantum Field Theory in a Nutshell, Princeton University Press 2003 Amazon book description: 'An esteemed researcher and acclaimed popular author takes up the challenge of providing a clear, relatively brief, and fully up-to-date introduction to one of the most vital but notoriously difficult subjects in theoretical physics. A quantum field theory text for the twenty-first century, this book makes the essential tool of modern theoretical physics available to any student who has completed a course on quantum mechanics and is eager to go on. Quantum field theory was invented to deal simultaneously with special relativity and quantum mechanics, the two greatest discoveries of early twentieth-century physics, but it has become increasingly important to many areas of physics. These days, physicists turn to quantum field theory to describe a multitude of phenomena. Stressing critical ideas and insights, Zee uses numerous examples to lead students to a true conceptual understanding of quantum field theory--what it means and what it can do. He covers an unusually diverse range of topics, including various contemporary developments,while guiding readers through thoughtfully designed problems. In contrast to previous texts, Zee incorporates gravity from the outset and discusses the innovative use of quantum field theory in modern condensed matter theory. Without a solid understanding of quantum field theory, no student can claim to have mastered contemporary theoretical physics. Offering a remarkably accessible conceptual introduction, this text will be widely welcomed and used.
Amazon back

Papers

Zurek, Wojciech H, "Schrodinger's sheep", Nature, 404, 6774, 9 March 2000, page 130-131. back

Zurek, Wojciech Hubert, "Quantum origin of quantum jumps: Breaking of unitary symmetry induced by information transfer in the transition from quantum to classical", Physical Review A, 76, 052110, 16 November 2007, page . Abstract: 'Measurements transfer information about a system to the apparatus and then, further on, to observers and (often inadvertently) to the environment. I show that even imperfect copying essential in such situations restricts possible unperturbed outcomes to an orthogonal subset of all possible states of the system, thus breaking the unitary symmetry of its Hilbert space implied by the quantum superposition principle. Preferred outcome states emerge as a result. They provide a framework for 'wave-packet collapse', designating terminal points of quantum jumps and defining the measured observable by specifying its eigenstates. In quantum Darwinism, they are the progenitors of multiple copies spread throughout the environment — the fittest quantum states that not only survive decoherence, but subvert the environment into carrying information about them — into becoming a witness.'. back

Links

Aquinas 13 Summa: I 2 3: Whether God exists? I answer that, The existence of God can be proved in five ways. The first and more manifest way is the argument from motion. ... The second way is from the nature of the efficient cause. ... The third way is taken from possibility and necessity ... The fourth way is taken from the gradation to be found in things. ...The fifth way is taken from the governance of the world. back