Notes
[Notebook: DB 58 Bringing god home]
[Sunday 2 April 2006 - Saturday 8 April 2006]
[page 85]
Sunday 2 April 2006
We can see a parallel between the 'collapse of the wavefunction' and the composition of this essay. We may speculate that of the order of 10 billion neurons have been devoted for many years to the accomplishment of this task, and in that period have exchanged many petabits of information to produce these 4000 words which compressed on my machine are a file of 10 kilobits. Transmitted to one who has been speculating on the same lines, we have something akin to teleportation, with the receiver being able to reconstruct in his her mind something akin to the state of mine.
The graphic user interface of Hilbert space is 4-space. As in a computer, the symbols on the screen do not interact directly with each other but via the software and processing that lies behind the, Given this situation,
[page 86]
it is perhaps natural that the ancients postulated an invisible puppeteer (or set of ps) to explain visible events.
Agatha Blue Train page 41: 'Things are seldom what they seem in this life.' Christie
Universe is the joint state of ℵ0 events implies (Cantor) that the Universe is the joint state of ℵ1 events.
I sit here looking at the river and the trees, feeling the breeze, drinking beer and desultorily talking. I wonder if the theoretical picture that is developing (in a photographic and evolutionary sense) is capable of describing all this. We answer yes. Is it capable of describing god? Yes. So there you have it. By assuming that the Universe really works by quantum mechanics, we find that it is divine.
Wedding: enough redundancy in the arrangements so that a few fuckups will not fuck everything up.
Science trusts the Universe, and so if the mathematics fits it we assume that it is also good and any unproven steps in the argument will eventually be shown to be formally consistent.
A set is defined by its elements.
We model a network by a manifold (with communication corresponding to differential connections).
The flatland story. From the point of view of an ℵ0 an ℵ1 is invisible (or unresolved) and so on. This leads to the spiritual view that there is a whole a certain (in fact maximal) amount of order in the system.
Manifold - connection, hinge, differentiation.
[page 87]
How lovely if the squares of everything adds up to 1.
In the graphical interface world we can broadcast. In the quantum mechanical world, no cloning.
If things has been different I could have made a seven letter word.
Set theory is the product of propositional calculus (a reliable proof) and an additional set of axioms, ie . . . .
Differentiation means going from an overall effect[s] to the steps that lead to them. In analysis these steps are taken to be infinitesimal steps through the domain of a function but we may look at it from a Turing machine point of view and see each step in a differentiation (or integration) as a step in the process of a Turing machine.
Differentiation and integration take place in a metric space, which contains the limits of all its series. But the definition of metric allows a wide range of possibilities, including the distance between two states of a computing machine,
Deal with the finite set and show how to extrapolate to the infinite all the time speaking in this finite set of symbols. So epsilon, delta arguments.
The fact that I am able to write some scientific sounding stuff means that I am coming into an area of linguistic overlap with the scientific discourse.
We correspond to some [peer] level in the transfinite network.
[page 88]
Monday 3 April 2006
In a Universe without end it is not the arrival but only the journey and the steps along the way that are observable.
COMMUNICATION - CORRELATION - OVERLAP( INTERSECTION)
The intersection between two sets is the communication between them.
From an cardinal point of view all permutations having the same length are identical members of the same cardinal number. We distinguish the individual permutations by their order.
Text is massless, and so cannot change in flight unlike massive (?) neutrinos that can 'mix' in fight. A text, like a photon, has no 'inner life' corresponding to mass.
When we say potency and act are equivalent and not potency subordinated to act we are saying that possibilities (represented by text) have a role in guiding the world equal to actualities.
Tuesday 4 April 2006
TEXT is a stationary state. Although such a stationary state is 'outside time' while it exists, it nevertheless has a certain half life which limits the precision of measurement and so broadens the state.
I feel a superposition of internal states (to which I can give names like love, anger, hunger etc) which guide my actions in a way analogous to the states of an atom guiding its response to a measurement.
[page 89]
The markets shape the system just as the system controls the markets. Uncontrolled markets are the enemy of a system, since the market value of real values can lead to the extinction of essential elements of the system.
A system is a library
One always has certain misgiving about acting. In a reasonable (?) world these misgivings will be related to the set of things that can go wrong multiplied by the probability of each unhelpful event.
Wednesday 5 April 2006
Broken left achilles tendon. God is certainly constraining me to work on "Is God capable of Intelligent Design"; is this an example of intelligent design? The answer is that given Cantor symmetry, God has the same powers as everybody in his domain, so he can intelligently design in his world as effectively as I can in mine and a hydrogen atom in its. We can ascribe this to the relativity of transient, each entity living in a world of possibility measured by ℵ0 which it can control with tools of power ℵ0.
Mechanical processes can be used to change the relative probability of various outcomes. A bearing constrains a shaft so that while its angular position is free, its position relative to the rest of the machine is fixed within limits that gradually widen with wear, and of the bearing is not maintained, finally fail to constrain the shaft at all when the bearing falls to pieces.
Thursday 6 April 2006
Intelligent design = tendon stronger than muscle = even
[page 90]
at full stretch, even then some pain would have been good. But perhaps I was being too macho (and pissed off) and did not heed the warnings.
Real particles vs virtual particles. PARTICLE = COMPUTABLE
Veltman worries about putting the Universe in a box to get a countable number of states to calculate with, and then take the thing to the limit at the end. Veltman Here we see that the Universe is already discrete. a set of events in spacetime.
Sentence and environment born together, a set of basis vectors, a space and a point in that space/ The space s the space of possible meaning and has a certain entropy. The point carries an amount of information equal to this entropy (at a certain level of resolution.)
The interface between Hilbert and 4-space is to be seen clearly in the phenomenon of teleportation. Teleportation is possible because even though the space of states in unlimited, entanglement reduces the complexity to a basis of 4-vectors which can be resolved with two bits of classical formation. This is in effect the physical manipulation of infinite sets (vectors) using short names (binary numbers). [The classical communication is used to select between a limited palette of quantum states.]
Turing machine, even if it has an infinite tape, is locally finite, with a small alphabet of tape symbols and a finite set of internal states. This is the foundation of Turing's idea to compute the elements of an infinite spectrum using finite means. These finite means operate in an infinite space of tape.
Friday 7 April 2006
Veltman page xi: 'It must be added that there exists, strictly speaking, no sound starting point for deal with non-perturbative situations.'
[page 81]
Implicit in the classical view is the idea that the Universe works with mathematical precision. We assume this too, but mathematics itself shows us that there are limits to the precision that ??? the Universe locally at every point, and therefore globally.
Movement is more expensive than stasis, nut s often necessary for survival.
Can the Universe compute things which are not computable?
Writing a book = shaping a space for a sentence.
Saturday 8 April 2006
High frequency = highly repetitive = relatively simple, the deep hardware regions of the computer.
RECURSIVE = (Almost) periodic.
Every emission of a particle corresponds to a transfinite transition.
