natural theology > notes

Notes

[Notebook Turkey, DB 55]

[Sunday 7 April 2002 - Saturday 13 April 2002]

[page 63]

Sunday 7 April 2002

The key to Physical Theology is quantum information theory. Have been thinking this for a few years. Essential is the contrast with classical, giving a cycle CLASSICAL - QUANTUM - CLASSICAL ie INPUT - COMPUTATION - OUTPUT. What the quantum computation ensures is that the output is consistent with (but not necessarily provable from) the input.

Monday 8 April 2002

[page 64]

Tuesday 9 April 2002

The structure of the operator necessary to transform one state into another reveals to us the difference (or relationship) between the states. The differences between the spin states of the electron are encoded in the Pauli matrices. RELATIVITY: the transform between what is sent and received.

Wednesday 10 April 2002

Vice in all its forms {from drugs to war} (= abuse of power) has its origin in frustration. As frustration increases with time (integral of a potential with respect to time) so does the need to move toward the hard (violent, vicious) end of the spectrum. Frustration is caused by lack of power to fulfill need. Need is a feature of dissipative structures., that is ones which are far from equilibrium = far from maximum complexity.

The transfinite network can capture all this.

COMPLEXIFICATION <-> CONTROL

Cantor's theorem only works in cases of instantaneous global consistency, ie it is NEWTONIAN ie FORMALIST. How does this theorem look in a real dynamic Universe, equipped with finite processing rate at every point except the initial singularity = the whole Universe.

Peace theorem: order and chaos.

One can maintain peace as long as one is connected to an oracle = GOD.

[page 65]

Science is the revelation that keeps us on the straight and narrow - through it we know god and if we act on that knowledge we will be saved.

The theorem begins from an upper and lower stable context (boundaries) and shows how the stability of the boundaries brings structure between them. CONSISTENCY of [by?] COMMUNICATION.

Once again a brilliant light shines after a moment of depression - the basic idea for the peace theorem and its corollaries - BOUNDARIES INDUCE STRUCTURE - FIXED POINTS. [In the good old days the boundaries were god and the devil]

Thursday 11 April 2002

Weinberg, Quantum theory of Fields I, 1 ' . . . it has long seemed to me that a much better starting point [for quantum field theory] is Wigner's definition of particles as representations of the inhomogeneous Lorentz group . . . '

In quantum mechanics transition probability between two states must be independent of reference frames.

Friday 12 April 2002

Infinity machine: Earman & Warton - a computer which speeds up exponentially to do all computations in finite time - the exponential increase in frequency as we go toward the 'time' end of the transfinite network - Hogarth-Malament spacetimes . . . . Davies.

a) matter is Archimedian and b) communication is instantaneous (in the initial singularity)

Davies: 'We believe our machine is consistent with any physics knows in the year 1850' . . . 'In some respects the real world is less peculiar than a purely mechanical continuous Newtonian Universe

[page 66]

would be.'

'It is known that machines with infinite numbers of parts with no lower limit on their sizes can give rise to paradoxes (8).'

Recursive contraction with memory₂ = 2 memory₁, linear size₂ = linear_size₁/16, clock_period₂ = clock_period₁/8. So this is just a convergent series.

This machine can be modelled by the transfinite network with a clock ratio of 8 rather than ℵ₀ !

Each generation of machine tools and computers is used to build the next.

'In our Universe the Lieb-Thirring proof of the stability of matter depends upon quantum mechanics and the Pauli exclusion principle.

'Wigner's lower bounds on the size and mass of a clock running at a given speed are not relevant .. Barrow, J D, Physical Review 54D (1996) 6563-4.

Mechanical = noiseless.

Philosophical assumption: 'To claim that the existence of a solution to some infinite problem about numbers in an imagined Universe implies anything about the mathematics of our Universe depends upon a philosophical assumption. This is that the imagined mathematics of the imagined Universe has the same properties as the real mathematics in ours.

Modal realist = many worlds.

[page 67]

MACHINES work on REPRESENTATIONS of the objects they process.

Hilbert space enables us to create a representation of an transfinite group.

POTENTIAL WELLS (HABITATS) CREATE STRUCTURE.

The bond of love is the potential well for bringing new members into the group.

Apply group theory to the quantum+relativistic theory to arrive at a set of elements = operations. The elements of a group transform one another.

Ian Macdonald: The Theory of Groups.

21 'The objects of study in the theory of groups are the equivalence classes of isomorphic groups and relations between these classes. CLASS = ABSTRACT GROUP.

We study relations between abstract groups. Realized in nature because they are the most succinct way to express transformations.

Saturday 13 April 2002

Related sites

Concordat Watch

Revealing Vatican attempts to propagate its religion by international treaty

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Golding, William, Lord of the Flies, Faber and Faber 1973 Amazon.com Review 'William Golding's classic tale about a group of English schoolboys who are plane-wrecked on a deserted island is just as chilling and relevant today as when it was first published in 1954. At first, the stranded boys cooperate, attempting to gather food, make shelters, and maintain signal fires. Overseeing their efforts are Ralph, "the boy with fair hair," and Piggy, Ralph's chubby, wisdom-dispensing sidekick whose thick spectacles come in handy for lighting fires. Although Ralph tries to impose order and delegate responsibility, there are many in their number who would rather swim, play, or hunt the island's wild pig population. Soon Ralph's rules are being ignored or challenged outright. His fiercest antagonist is Jack, the redheaded leader of the pig hunters, who manages to lure away many of the boys to join his band of painted savages. The situation deteriorates as the trappings of civilization continue to fall away, until Ralph discovers that instead of being hunters, he and Piggy have become the hunted: "He forgot his words, his hunger and thirst, and became fear; hopeless fear on flying feet." Golding's gripping novel explores the boundary between human reason and animal instinct, all on the brutal playing field of adolescent competition.' --Jennifer Hubert -
Amazon back

Papers

Davies, E B, "Building Infinite Machines", British Journal for the Philosophy of Science, , , , page . Abstract; 'We describe in some detail how to build an infinite computing machine within an infinite Newtonian Universe. The relevance of our construction to the Church-Turing thesis and the Platonist-Intuitionist debate about the nature of mathematics are also discussed.'. back

Links

Christopher Shields Aristotle (Stanford Encyclopedia of Philosophy) First published Thu Sep 25, 2008 Aristotle (384–322 B.C.E.) numbers among the greatest philosophers of all time. Judged solely in terms of his philosophical influence, only Plato is his peer: . . . A prodigious researcher and writer, Aristotle left a great body of work, perhaps numbering as many as two-hundred treatises, from which approximately thirty-one survive.[1] His extant writings span a wide range of disciplines, from logic, metaphysics and philosophy of mind, through ethics, political theory, aesthetics and rhetoric, and into such primarily non-philosophical fields as empirical biology, where he excelled at detailed plant and animal observation and taxonomy. In all these areas, Aristotle's theories have provided illumination, met with resistance, sparked debate, and generally stimulated the sustained interest of an abiding readership. back

Euclid - Wikipedia Euclid - Wikipedia, the free encyclopedia 'Euclid (. . . Ancient Greek: Εὐκλείδης Eukleidēs), fl. 300 BC, also known as Euclid of Alexandria, was a Greek mathematician, often referred to as the "Father of Geometry." He was active in Alexandria during the reign of Ptolemy I (323–283 BC). His Elements is one of the most influential works in the history of mathematics, serving as the main textbook for teaching mathematics (especially geometry) from the time of its publication until the late 19th or early 20th century back

Jenann Ismael Quantum Mechanics (Stanford Encyclopedia of Philosophy) First published Wed Nov 29, 2000; substantive revision Tue Sep 1, 2009 'Quantum mechanics is, at least at first glance and at lea st in part, a mathematical machine for predicting the behaviors of microscopic particles — or, at least, of the measuring instruments we use to explore those behaviors — and in that capacity, it is spectacularly successful: in terms of power and precision, head and shoulders above any theory we have ever had. . . . The question of what kind of a world it describes, however, is controversial; there is very little agreement, among physicists and among philosophers, about what the world is like according to quantum mechanics.' back

Meinard Kuhlmann Quantum Field Theory (Stanford Encyclopedia of Philosophy) First published Thu Jun 22, 2006 'Quantum Field Theory (QFT) is the mathematical and conceptual framework for contemporary elementary particle physics. . . . QFT is presently the best starting point for analysing the fundamental features of matter and interactions.

During the last two decades QFT became a more and more vividly discussed topic in philosophy of physics. QFT is an attractive topic for philosophers with respect to methodology, semantics as well as ontology. Indeed, from a methodological point of view QFT is much more a set of formal strategies and mathematical tools than a closed theory. Its development was accompanied by problems provoked by the application of badly defined mathematics. Nevertheless, empirically such pragmatic approaches have been far more successful so far than more rigorous formulations. How could such a theory work for more than 70 years? Since mathematical reasoning dominated the heuristics of QFT, its interpretation is open in most areas which go beyond the immediate empirical predictions.' back

Peter MacHamer Galileo Galilei (Stanford Encyclopedia of Philosophy) First published Fri Mar 4, 2005; substantive revision Thu May 21, 2009 'Galileo Galilei (1564–1642) has always played a key role in any history of science and, in many histories of philosophy, he is a, if not the, central figure of the scientific revolution of the 17th century. His work in physics or natural philosophy, astronomy, and the methodology of science still evoke debate after over 360 years. His role in promoting the Copernican theory and his travails and trials with the Roman Church are stories that still require re-telling. This article attempts to provide an overview of these aspects of Galileo's life and work, but does so by focusing in a new way on his discussions of the nature of matter.' back