vol 7: Notes
2003
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... to restore theology to the mainstream of science
Notes
[Notebook: TURKEY DB55]
[ Sunday 4 may 2003 - Saturday 10 May 2003]
[page 294]
Sunday 4 May 2003
Talking to B of my religious dream that this set of ideas attracts sufficient income to propagate themselves and grow
[page 295]
to the benefit of myself and my friends and (secondarily) everybody.
PT Our product is religion, ie physical theology.
Any religion fails unless is is strictly ecumenical and recognizes [that] all other bona fide religion (ie not 'cults') have an equal right to exist, so that human religious society may be a superposition of consistent scientifically acceptable religions, ie religions consistent with themselves and their environment. We guess that all such religions have the same entropy and can be transformed into one another by a transformation akin to the transformation of language we call translation.
All physical measurements are discrete and countable (quantum) but the range of meanings (models) that may be ascribed to these measurements is uncountable (aleph(1).
Since we are looking for the broadest possible point of view we do not restrict the idea of general covariance simply to the coordinate system which a particular scientist maybe using to examine a particular particle or event at a particular moment, but rather expand it to all events and particles, each of which has a proper frame of reference or point of view through which it relates the universe to itself. The general covariance of science is designed to be large enough to capture all the covariance of the events that constitute the universe. In other words, the Turing machine representing a given particle at a given point remains the same regardless of the coordinates in which it is fed its input and into which it is designed to encode its output.
Tomonaga: Tomonaga
Translators preface: page viii 'The existence of spin and the statistics associated with it is the most subtle and ingenious design of Nature - without it the whole universe
[page 296]
would collapse.' Takeshi Oka
Tomonaga page x: '... the statistics [of fermions and bosons] are obtained from the requirements of relativity and the covariance of physical quantities.'
page xi: 'the rules of spin and statistics are applicable also to composite particles.'
Monday 5 May 2003
We may use general covariance to describe human freedom (as it describes the freedom of other particles). At the coarsest and most abstract level (transfinite oscillator) entities are described by cardinal numbers that represent their rate of action (energy, 4-momentum). Covariance suggests that the permutations of the natural numbers (ie of the set of ordinal numbers constructed from the natural numbers) ... are the reference frame for the entity we call aleph(0). All represent the same being from different points of view - one permutation, one point of view. Transformations within a given peer index give different interpretations of the same entity. Transitions to different peer indices represent a complexification or abstraction. We can give meaning and context to events in a given peer index by choosing a large transfinite space as our universe, eg aleph(n), and consider aleph(0) in the context of aleph(n), aleph(1) in the context of aleph(n-1) and so on, so that there is a certain conservation law in operation. As usual, very vague, but just keep transforming the idea into words until something beautiful appears.
Dreamt about this a lot last night. We see the natural numbers as a natural frame of reference for the universe, since a countable number of events can be placed into one-to-one correspondence with the natural numbers, and different orderings of events correspond to different orderings of the natural numbers. This gives us a natural transition to the next transfinite number aleph(1) which represents all possible orderings of the events in the universe, in a way all possible meanings that can be given to the universal process.
US/UK Act of (Religious) Toleration, 1689. Noel S McFerran
[page 297]
Tuesday 6 May 2003
We go straight from the structure of the transfinite network to the axiomatic theory of probability and evolutionary process, through which organisms act to increase their probability of survival.
Covariance allows for localization, requiring in order to make a coherent whole, that there exist a transformation from one locality to the next. In special relativity, locality means relative velocity. In general relativity, locality means relative acceleration, which is turn decided by the distribution of energy in and around the locality.
From probability theory we go to quantum theory, quantum information theory, which tells us how the Turing machines that run the world are connected together and communicate via eigenvalues encoded and decoded by eigenfunction.
Finally it would be nice of general relativity truly was the theory of God and so continuous in the sense of having a cardinal number greater than all cardinal numbers. Here we could revive the concept of generalized geodesic as the path of our individual lives coming together at conception, like a star, and falling apart again in old age, to become the material for the next generation.
Wednesday 7 May 2003
We define God as an entity capable of executing all possible operations, and we begin with the idea that possible operation in physics is equivalent to can be done by a halting Turing machine in mathematics.
Deutsch proposes (perhaps) that our universe us
[page 298]
just one Turing machine and all the other possible universes are all the other possible states of this machine which are not accessible to us in our universe. Deutsch Instead the network model puts all aleph(0) halting Turing machines together on a network that can solve the aleph(1) possible Turing machines that do not halt. [?]
Versatility (the total versatility of God, able to do aleph(0) things at once) is measured by entropy. So as God learns from doing aleph(0) things at once how to do aleph(1) things at once is the process of creativity. Creation changes the meaning of 'at once' by creating processes by creating processes that live for any period between the frequency corresponding to the energy of the universe and the total age of the universe, which increases monotonically forever.
It appears that the age of the universe is going to increase monotonically forever. The identity mapping on the set of natural numbers, It is natural to assume that the total number and variety of quanta of action in the universe taken from the beginning to the end, ie any chosen upper bound, is aleph(0).
Why do people who deal in money make so much more money than those dealing in drugs or machines or attitudes to life? Possibly has a lot to do with the 'semantic' value of the currency they are dealing in and its ready transportability, coupled with the fact that where they work, the gearing to the real world is relatively high.
TRANSFINITE GEARING
The principle of infinitism. The rules of infinity govern the finite because the universe is infinite, and yet it generates (relatively) finite structures.
Is there anything more to love than strong physical affection and no games.
[page 299]
From the point of view of physics, every quantum of action is unique, with an address in space and time and an essence of its own. The uniqueness is projected onto the variety of action by the distinction of places and times. So it was not just an act of love, but a particular act of love between particular actors at a particular (proper) place and time. The structure of action is projected on the structure of space and time so that each act is a distinctly addressed event whose meaning is only fully resolved by considering its relationships to every other event in the universe [within its past light cone].
Two ways to look at the universe a) individuals, b) relationships. The same information is in both, described (in physics) as particles and fields.
Human relationships so transparent to us are massively magnified (from our point of view) versions of what goes on at every other peer level in the universe.
Whether you are a divine artist or a block of concrete, gravity sees the same thing, a set of energy x.
In the quantum world, the continuum is approximated by events which, as a consequence, tend to fade into one another with the passage of time as the ripples from each event move further through the continuum to influence all the other events in their causal cone. (at c, causal cone = light cone] In general, however, the space velocity of information is not a single constant, so that the casual structure of the human world has a degree of freedom (absent?) from the physical world. NO, the physical world admits velocities less than c!
God can do aleph(0) things at once by spacetime division multiplexing. The Lorentz transformations show us the invariance in the allocation
[page 300]
of processes to space and time even though, from our point of view, entities travelling at c have a time velocity of zero corresponding to the space velocity of c. From the point of view of a moving particle (process) space is one dimensional, like the tape of a Turing machine which is read and written to (communicated with) by the processor following protocols which are themselves written on the tape, but may be loaded into the memory of the Turing machine.
machine in state si
read tape symbol
moves, erases, writes according to state and symbol
enters state sj.
Do we see the world as a banking system, combating fluctuations with large numbers so as to create more money and allow growth and transfer of value (meaning).
General covariance is good and works in physics but what about more complex levels? Is a particular point of view enshrined in a choice of reference frame, an inherent part of the structure of the world. My nature defines my relationship to many aspects of the physical and chemical world as I seek to meet needs for a certain range of temperature, pressure and chemical input.
Moral hazard: a set of incentives for a part of a system which tend to encourage action detrimental to the whole system.
Do we need nature? The answer is obviously yes, and it is hard to imagine any sane and well informed person imagining that we could live without sunlight, air, water, soil, food and all the other more obvious natural inputs to our lives. We need nature for raw material for sure, but our needs are deeper. Do we need trees as well as wood, wilderness as well as open cut mines? Here we encounter differences of opinion on how much we can safely destroy natural assets in our pursuit of wealth. Here we argue strongly that we need not just material nature, but the wilderness and complexity of nature as well,
[page 301]
and the more we can conserve, understand and live wilderness, the happier and more stable our lives can be.
COVARIANCE = ABSTRACTION
BINDING = NON-COVARIANCE (choose a mapping, language and stick to
it.)
Consider 'position independent computer code' ie relative addressing.
Covariant roots are to be found in concrete realities.
Human language ability (ie hardware) is covariant with respect to the millions of different human languages that may have existed over the last few million years. Other non-linguistic signalling ('body language') is more closely bound (and so, we are inclined to think, more closely bonded to internal states, ie 'true') We can, however, learn to control these signals and the best bred 'Englishperson' might be considered devoid of bound body language, see Agatha (?)
One gets a feeling for something by calculating (imagining) it and then trying it. So we must do with the Lagrangian and economy of action.
CALCULATION = abstract version of reality: stones = sheep.
Once more a forgotten thing. Distracted by lighting the fire, paying the bills etc - maintaining the inputs that keep the show on the road.
The physical applies at every point in the universe, like God. It is God [but not all of God]
Lonergan was grasping for general metaphysical covariance but slightly missed the connection, due perhaps to the inertia of the institution he was bonded to,
[page 302]
...
Here it has come back: the world is so lively because it is a competition of exponentials. Any edge, no matter how small, can become infinitely big if it can be grown exponentially.
Real exponents grow without limit (and eventually destroy their environment and collapse); leading to complex exponentials which are cyclic and reflect the reality that there are physical bounds on an real exponential growth. The fact that complex exponentials seem essential to quantum mechanics (but think of Wigner), and that it is linear, seems to show that the wisdom of evolution (in very high frequency systems) has selected the physics of the world we inhabit to the optimum line (generalized geodesic) through the space of possibility. This is so because a total unconstrained entity like the universe is free to explore the total space of possibility. That part of the space of possibility which is consistent is invariant with respect to time and appears to physicists as the conservation of energy, the fundamental revelation (?) of physical theology. [?]
The transfinite network gives us an hierarchy of covariance and bondings, each bonding (like the creation of the human mind) serving as an alphabet for the creation of a space of even greater entropy, in which certain points are selected to be given reality (or to take reality) and the rest remaining as a set of possibilities within which we find actual events following certain causes. The space of human animal possibilities is open to be explored by each one of us, and in the imaginative world, is the stuff of sitcoms.
The marketing root of physical theology is the expression of lust tempered by human rights. The more lusty we can become while maintaining truth and consistency, the better chance we have of recruiting 'believers'. It seems safe to
[page 303]
ask people to believe you if you genuinely believe yourself. There are, however, (as the transfinite network shows) many levels of belief. There are, however, beliefs which are fully compatible with the physical world and we might count these as safe? The basic problem, as in child sexual abuse and all other forms of human exploitation, is a misuse (corruption) of power. One person dominates another for their own benefit. Historical (and present) examples of this are endless. Some feel that the answer to this is 'full disclosure' but we have to recognize that there is no sense in reading a tree its rights, we simply have to respect them. And the same thing with children and all others who are in a relation of immaturity and ignorance (like people who have not grown up in modern rich and technologically and educationally advanced societies.) that smart agents must respect true protocol, which is not to take advantage of ignorance, as the sovereign power does which claims that ignorance of the law (no matter how complex and inconsistent) id no excuse.
The power of exponentiation means that the most attractive thing on earth is reproductive potential, whether in people, seeds, business deals or whatever. These dreams must be tempered by the law of reversion to the norm.
Phrases with impact: Our Holy Mindfucker the Church,
Thursday 8 May 2003
Friday 9 May 2003
Saturday 10 May 2003
Further reading
Books
| Deutsch, David, The Fabric of Reality: The Science of Parallel Universes - and its Implications, Allen Lane Penguin Press 1997 Jacket: 'Quantum physics, evolution, computation and knowledge - these four strands of scientific theory and philosophy have, until now, remained incomplete explanations of the way the universe works. ... Oxford scholar DD shows how they are so closely intertwined that we cannot properly understand any one of them without reference to the other three. ...' Amazon back |
| Tomonaga, Sin-itiro, The Story of Spin, University of Chicago Press 1997 Jacket: 'The Story of Spin, as told by Sin-itiro Tomonaga and lovingly translated by Takeshi Oka, is a brilliant and witty account of the development of modern quantum theory, which takes electron spin as a pivotal concept. Reading these twelve lectures on the fundamental aspects of physics is a joyful experience that is rare indeed.' Laurie Brown, Northwestern University. Amazon back |
Links
| Noel S McFerran Toleration Act, 1689 'Forasmuch as some ease to scrupulous consciences in the exercise of religion may be an effectual means to unite their Majesties Protestant subjects in interest and affection: ... ' back |
Click on an "Amazon" link in the booklist at the foot of the page to buy the book, see more details or search for similar items
Related sites:
Concordat Watch
Revealing Vatican attempts to propagate its religion by international treaty
