Notes
[Notebook: DB 62 Interpretation]
[Sunday 23 December 2007 - Saturday 29 December 2007]
Sunday 23 December 2007
[page 82]
Monday 24 December 2007
Nn is currently my 'gold standard' of human fulfillment. Having rejected the full spectrum of human love (by his monastic vows) Aquinas created an abstract and artificial model of beatitude through the beatific vision of a god invisible to the mortal eye, mind and heart. When we make the Universe divine and expand it in terms of peer layers, we can find beatitude on earth by finding a peer who (at least temporarily) fulfills all our desires and transports us to a state of loving bliss. Time and layer division multiplexing allows us to extend this bliss from one to many people and from people to the multiple beauties of nature.
Human rights are enshrined in the principles of not requiring existing networks to change their protocols to establish intercommunication and the principle of not degrading intranet traffic for the benefit of internet traffic.
Tuesday 25 December 2007
Wednesday 26 December 2007
A routine calls a subroutine and passes to it the values upon which it is to act, ie the logical value to be negated, or values to be anded, ored, added, multiplied etc. These passings are achieved by giving the subroutine pointers to the memory addresses of the
[page 83]
to be operated on and the subroutine returns pointer(s) to the location of the results. In a Universe with only two states, and input and an output, these pointers can be minimal to the point of non-existence, but as things become more complex, so does the cardinality of the pointers, in absolute or offset terms.
Thursday 27 December 2007
Friday 28 December 2007
In the standard physical paradigm, structure us maintained by energy barriers and we conceive of particles and structures residing in an 'energy landscape' which confines their activities as for instance in the energy levels and transitions of an atom and the conformational energies of biological structures like proteins and membranes. Quantum mechanically we relate energy to temporal frequency, and to overcome an energy barrier a particle must achieve a certain processing frequency. If it cannot go fast enough, it cannot climb the hill and get out of its present potential well. How do we interpret this in logical and network terms?
The processes in the Universe can be represented by a nested series of processes, the 'inner' ones going faster than the outer ones. So my life is a set of atomic processes occurring in nanoseconds or less that underlie an overall process that takes about a century.
The relationship of structural changes to energy levels show us how things depend on timing, like juggling. In a deterministic computer we have a fixed clock frequency (energy) which sets the scene for all the interactions in the computer. Special methods, (space and buffering) are needed to create
[page 84]
interfaces between asynchronous processes.
Space, timing and inhibition.
As a principle we assume that anything will happen if it can, that [is] if the event is consistent with its environment. On the other hand, if a consistent route to fulfillment is not available, that event will not happen, it will be held up and the relevant state of the potential will be maintained. So we imagine that every radioactive nucleus would like to decay immediately but something inhibits it, so leading to finite half lives for radioactive elements so that they are in effect queued up waiting for the right circumstances to decay. Similarly we could all rather like instant gratification of our desires but are usually required to wait until work or chance brings fulfillment.
In situations of low complexity, the chances of fulfillment are high and so events are frequent. On the other hand, the probabilities of complex events are low.
From this point of view, space and memory are the product of inhibited events, that is potential wells too deep to climb out of Things move around in space until they meet their mates, and only then does something happen. In this way, natural complexification creates space by reducing event probability, a sort of tautological bootstrap.
[page 85]
Things happen because they can, ie the creative potential of the Universe finds an outlet. The growth of space on the other hand, is in some way the growth of inhibition.
The probability of an event is the square of an amplitude, ie the product of an amplitude and its complex conjugate. In a way the real part of a complex number represents the ability to act, the complex part the inhibition. Things only happen at favourable phases, when the real part is 1 and the imaginary part (inhibition) is zero. This is how the path integral method works to predict the events we see in the world.
Nature 470:971 'Considering the immense enhancements and equilibrium shifts that are activated in biological systems, it is easy to overlook the fact that only small changes in free energy (around a few kT) account for these effects, owing to the exponential dependence of both the rate and the populations on the free energy difference. Henzler-Wildman and Kern, Henzler-Wildman and Kern
'The energy landscape concepts provides a bridge between the different philosophies and languages used by physicists and biologists.
SPACE - TIME
ADDRESSING : Logical and physical.
Our interpretation of the world accepts Landauer's thesis that all information is encoded physically. Information comes basically in two forms static (or potential) and
[page 86]
dynamic = kinetic.
All of science is the process of mapping between the logical and physical worlds. We generally call the logical part a model or a map which we use to guide our way around the physical world. Unlike the logical world of the imagination and fantasy, where everything is physically harmless (whatever fictional powers we attribute to it), the physical world is a world of life and death, bliss and pain. The root of religion is to harness the powers of the logical world to navigate ourselves though the physical world with a minimum of pain.
MEASUREMENT - FITTING. When I am measuring I am trying to decide, with the help of a discretely graduated tape, which natural or rational number best corresponds to the object I am measuring in the reference frame I am using. In the continuous word, measurement must be made to unlimited precision to be useful, but in the digital world all we need to do is discriminate between a set of known entities (the codewords or eigenvalues).
Why is the world represented by the eigenvalues of a matrix?
Labelling techniques Nature 470:975. Robinson et al.
Physics assumes we must use continuous labels. This has mathematical advantages but does not truly represent
[page 88]
the world, which is quantized at all observable levels, and so can be adequately represented by a transfinite set of discrete labels and discrete operations.
Quantum information theory depends upon the digitization of the physical world.
Some dualities:
positive / negative
matter / antimatter
spin up / spin down
space / time, energy / momentum
fermion / boson
potential / kinetic energy
odd / even parity
high / low frequency - this is a spectrum [rather than a duality]
real / virtual, logical / physical, ghost / real
observable / unobservable
continuous / discrete
life / death
male / female
Roden page 246: 'For the rest of the community, cultural degradation followed economic decline. As the Jews fell into a trough of poverty, they were gripped by obscurantist cabbalistic mysticism and messianic fever.' The Book of Jewish Food Roden
Saturday 29 December 2007
So a system calls the not operator passes it a value p, and the operator returns the value not-p.