Notes
[Notebook: DB 59 Draughts]
[Sunday 24 September 2006 - Saturday 30 September 2006]
[page 182]
Sunday 24 September 2006
SHOWDOWN = CONTACT
The current crop of religions, although many are becoming increasingly maladaptive, have greatly increased our fitness by engendering common codes and customs which serve to bind us together into a functioning whole exactly analogous to the communication protocols between cells that make multicellular creatures possible. The difference is that the human level of communication is (quite naturally) more complex than the cellular level.
As buildings become more complex the alphabet of fasteners has increased from mud and dowels through nails, bolts, screws, welding, gluing etc etc. An increase in entropy.
Monday 25 September 2006
Symmetric Universe is good, but now we have to learn how to calculate with is. One valuable piece of information would be a distribution function of machines, time to completion vs complexity of algorithm, (given constant time per step). Something that may be done by Monte Carlo using random programs of varying lengths. Obviously, since the harmonic paradigm works very well, we will need to get clues from there and use the Turing model to get new derivations of frequencies, energies, momenta etc.
[page 183]
Complex numbers suggest that quantum mechanics is essentially two dimensional and the ubiquitous use of integration suggests that its linearity arises from simple arithmetic. The interesting features arise from the more complex structures (vectors and matrices) in which the arithmetic of complex numbers is embedded.
Like a necklace, one can make any shape out of little bits. This is Einstein's approach to curved space: begin with a lot of flat spaces. A Turing machine is a flat space, ie deterministic, rigid, a piece of arithmetic. We encounter pieces of arithmetic all over the place in shops, banks, universities. It is the ubiquitous presence of Turing machines which we take to be our atom. So Minkowski space is implemented by Turing machines.
A Turing machine models a piece of space, ie a 4-D, but the hunch is that this machine s constructed from spin-1/2 subroutines which are two dimensions, and perhaps represent the first break in the divine unity, ie the first broken symmetry, driven by Cantor's theorem. So time is discrete, space continuous in three orthogonal (mutually transfinite) directions. These three dimensions meet in a common point, the origin, which moves through its own proper time in its own time independent of the amount of action in its vicinity. An act is in effect timeless, even though it has proper duration.
All we observe in the world are counts (events)
. . .
[page 184]
Every observable moment in transfinite transition. In finite terms, another count, or as quantum mechanics see it a rotating phase. The existence of some space makes possible the existence of independently rotating phases, that is independent proper times.
1. The computable manifold: MATHEMATICS
2. An interpretation of the computable manifold as time and space: QUANTUM FIELD THEORY.
3. The computable manifold as a model of god: THEOLOGY
4. The computable manifold as a model of creation and evolution: BIOLOGY
5. The human peer group in the computable manifold: HUMANITY
6. Religion and politics - supra human peer groups in the cm: RELIGION
7. The alphabet of survival - infra human peer groups in the cm: ENVIRONMENT.
By communications, the two proper times add, losing their identity and becoming a new proper time? Only at the moment of observation. We imagine the amplitude of an unobserved system at any point in spacetime as the superposition of all the independent waves that constitute the system, which superposition depends on the frequency and phase of a set of vectors all normalized to 1.
Physics and analysis are the study of cardinal numbers, that is integrals.
If we see the photon as the basic subroutine of the Universe we move next to electron, spin and rest mass, and then up to four space with gravitation appearing as a result of coupling between the four space embedded in
[page 185]
every particle with rest mass and so a rest frame.
The following as a rather heuristic discussion of the nature of the world from a theological point of view. Theology is the traditional theory of everything based on the supposition that god is, knows and causes everything.
Turing: erase/print == communicate.
Photon cannot be seen in space (no rest frame) and so (?) cannot see space, since it is always found on a null geodesic? No. It cannot see spacetime, which is where the nullness lies, time being used to 'annul' space and vice versa. Ie the photon lies in the symmetry that it broken to give us four-space, ie the two-space symmetry 1 + 1.
The wave function tells us everything, so it is all in the qubit phi = a|0> + b|1> ?
The esoteric computations of quantum field theory only come in when we examine a particle in a real setting in which it is communicating more and more widely through the network with ever decreasing frequency. In 4-space this frequency varies as 1/r, in particle space, it depends on a coupling constant and the network connectivity encoded in Feynman diagrams.
I remain fascinated by the 'minimal transfinite sequence' (?) 1, 2, 4, 16, 65536, 2.004 E 19728, etc . . .
[page 186]
Deighton Faith: '"There is no such thing as decision making, that's a gimmick the gods define and add to the torment".' page 213 Deighton
This is one way of looking at it. True the variety of lovers taken together is greater than the sum of their variety singly. They are occupying the tensor product of their personal Hilbert spaces. Nevertheless their quantum mechanical entanglement constructs symmetries that establish 'non-classically explainable' correlations between their stares. Bell's inequalities.
Bell: Speakable and Unspeakable in Quantum Mechanics. Bell
I seem to have been following a fruitful series of hunches al my life and [the latest is] the relationship between the Holy trinity and quantum field theory. Christian theology is the formalization of the boisterous and all too human gods of the poets who existed for millennia before written texts became the principal tools of scientifically minded people. This happened, I think, for the same reason as we use texts now, that they enable us to record complex ideas and models in a relatively unequivocal and standardized way, the scientific literature. We may see its origins in legal literature, which has slowly organized and codified much of the traditional structures of human society,
The story of the current majority Christian God (the Trinity) began its life almost simultaneously in the abstract world of Ancient Greek scholars and in the more concrete world of the writers of the Old Testament.
Tuesday 26 September 2006
Zero distance (contact, causality) is only possible in an extended spacetime with a )-1, +1) metric and something travelling at 'the velocity of light, ie 1. Otherwise, spatial and temporal separation are forever.
. . .
Cantor's principle of finitism and the use of computer networks to model the transfinite network.
We can afford to attack the Roman Catholic Church without fear because it is big, confident and somewhat mellow, and it has already done its worst to me.
The computable manifold naturally contains knowledge and evolution, since communication resources are limited and possibilities unlimited.
KNOWLEDGE == EVOLUTION (The trinity again)
Infinity is not so much a matter of size as of definition (ie resolution).
[page 188]
At the quantum level we se the world as an incompressible flow of entropy in a branched closed network whose pipes can carry any countable amount of entropy from 1 qubit in the lifetime of the Universe to its inverse.
The entropy flows by computation and has a maximum velocity, the local velocity of light or information.
LIGHT = ENTROPY (count)
Entropy is a cardinal measure that is blind to meaning. This is determined by the users of the bandwidth.
Incompressible flows: entropy, energy and angular momentum, momentum. Are they all the same thing at the bottom, most generally conceived as data.
Energy, momentum, action and entropy are all elements of models under construction for the last few hundred years. If science is to be based on observation, it has to be based on discrete observables. Every observation (communication) requires one quantum of action.
The mythology of quantum mechanics suggests that thee is abut a human observer. This may be true for the observer but not for the quantum system which simply emits and absorbs quanta in some sort of conformity with its personality.
[page 189]
The passage from continuum to discrete has taken more than a century, dated from Kirchoff and Cantor. The transition was made through functional analysis, to permutation which gives us the maximum imaginable group. This is smaller than the maximum imaginable system by a factor of aleph(n)aleph(n) / aleph(n)!. The maximum system however, (we think) is not a group. It can go outside itself and couple with the levels of complexity above and below it, its 'supeers' and 'infeers' (clumsy) supeeriors and infeeriors, superior and inferior. But can this happen? aleph(n)aleph(n) = aleph[h(n+1). Maybe the factor above is 1.
Wednesday 27 September 2006
Thursday 28 September 2006
Friday 29 September 2006
God is the ultimate user [of the transfinite network].
Saturday 30 September 2006
Spatial duplicates / temporal duplicates / spatio-temporal duplicates [none?]
So I am a spatial duplicate of all the other living homo sapiens. I am a temporal duplicate of my parents and children (considered as infinite in both directions) (infinite means the same thing goes on without change, and so a local sample is as good as any in a stationary set of symbols drawn from a certain alphabet.
In the real world a symbol is a living event which can be
[page 190]
named with static symbolism such as this which remains true for as long as the life (event) in question exists.
Something we share with everything in the Universe is a lifetime, a point of birth followed by reproduction )(communication)_ and then disintegration.
. . .
We use permutation rather than combination because we are ultimately modeling a concrete set of symbols ('the Universe') ('all information is encoded physically') subject to the law that nothing is different (ie no message is different) unless it is symbolically different. This idea contradicts Lonergan's notion of empirical residue? Lonergan Implements general covariance.
Hypothesis actus purus = computable network = digital + Cantor's theorem = expanding Universe.
CREATION:
From a formal point of view the expansion of the Universe as a consequence of Cantor's theorem. We couple Cantor's theorem to the Universe using the computable network.
Although Christianity is undergoing considerable corporate, political and social evolution, the theological model remains static.
Reaching for the orgasm, for self and whoever one is playing orgasms with. As an event, orgasm has a slow start (possibly
[page 191]
decades and a climactic finish. Other events begin with a sudden transient and die out at varying rates, eg childbirth.
