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VII Notes

2010

Notes

[Sunday 10 January 2010 - Saturday 16 January 2010]

[Notebook: DB 68: Salalah]

Sunday 10 January 2010

NUMEN -MUSIC

The wonder of music is that at least some of its content can be captured in formal notation, the rest being provided by the characters of the instruments and the skill and imaginations of the players.

We start the discussion of error control in the space of natural and real numbers, ie in the dialogue between 0 and 1. The Platonic mathematician following Peano and Cantor, just assumes that all these numbers exist. Here we want to show how the error correcting power exposed by Shannon enables the system to bootstrap itself to greater and greater levels of definition, ie creation. Having worked it out between the first and second alephs, we use Cantor symmetry to expand to all the alephs on the upside and back down to the completely simple on the down side.

We increase the size of the message space by making the messages longer and so further apart, and then we can use this set of well defined messages in the larger as single distinct symbols, which can be concatenated to make another layer of symbols, so that we have the distinctly layered structure of the Universe of atoms, molecules, cells, etc.

Monday 11 January 2010

Khinchin - communication. Khinchin

[page 157]

WILL --> DESIRE - POTENTIAL
INTELLECT --> INSIGHT - RELAXATION OF POTENTIAL

The original Hilbert oscillator was driven by Cantor's theorem on the complexification stroke and Macmillan's E-theorem on the simplification stroke, and we can represent its action as creation - abstraction - creation or complexification - simplification - complexification. The idea developed about twenty years ago by analogy with the Carnot cycle (which nevertheless, occurs at constant entropy) and Einstein's statement about the emergence of the general theory in his mind. Since then it has fermented and possibly developed to my present state of mind which is still a state of relative darkness and continued hope. The mind is prepared, maybe, but the loop is not yet closed to give a functioning recursive system, ie the realization of my desire. Can but press on, hoping eventually for the orgasmic closure.

Yus et al, Science 326:1263: 'A manually curated metabolic network of 189 reactions catalyzed by 129 enzymes allowed the design of a minimal medium, with 19 essential nutrients. Yus

Tuesday 12 January 2010
Wednesday 13 January 2010

The quantum world looks like pure formalism, since as Maxwell (?) pointed out, every atom is perfect and lasts forever without any wear and tear. Maxwell

Temple Grandin 'Emergence: Labeled Austistic' Grandin 'Thinking in Pictures" Grandin

[page 158]

Being formal and not creative, the quantum world operates at constant entropy and is incapable of explaining how the initial singularity becomes the complex world we live in and are.

Thursday 14 January 2010

Verlinde, Gravitation arXiv.1001.0785v1 6 January 2010 Erik P Verlinde

Friday 15 January 2010
Saturday 16 January 2010

On creation = on the source of the entorpic force, which (since Theory of Peace) I have attributed to Cantor's theorem which operates as soon as it becomes unconditioned, ie all its preconditions are met. Therse are in effect a set of processes whose order can be changed to give a new set of processes with a greater cardinal.

Verlinde sees space as the seat of memory, which is good.

The trinitarian doctrine tells us that emergence works by copying a differentiation, which is also the case in genetics, so the ground looks firm enough to tread on, at least tentatively, while not letting go of known certainties.

Verlinde page 2: 'Changes in entropy when matter is displaced leads to entropic force, which we will show takes the form of gravity. Its origin therefore lies in the tendency of the microscopic theory to maximize its entropy.'

Does not necessarily have to be microscopic. We can assume that macroscopic systems also wish to maximize

[page 159]

entropy. The question remains, however, how does a system increase its entropy. Ie how does it create more definitive degrees of freedom which may be fixed to give a point of information, that is a specific message?

Symmetric Universe - a theory of space that describes all spaces from Einstein's Universe to the human collective mind.

Susskind hep-th / 9409089 Leonard Susskind

An horizon is a network interface and the entropy of the surface measured the bandwidth of the connection. We may, further, think of a single serial wire (or message) as a 'hologram' of the entities communicating over the wire. So we communicate through our surfaces; a serial channel is a one pixel surface, whereas a parallel channel (like the surface of a black hole or another person) may be a massively parallel surface.

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Further reading

Books

Click on the "Amazon" link below each book entry to see details of a book (and possibly buy it!)

Grandin, Temple, Emergence: Labeled Autistic, Warner Books 1996 Amazon Product Description 'A true story that is both uniquely moving and exceptionally inspiring, Emergence is the first-hand account of a courageous autistic woman who beat the odds and cured herself. As a child, Temple Grandin was forced to leave her "normal" school and enroll in a school for autistic children. This searingly honest account captures the isolation and fears suffered by autistics and their families and the quiet strength of one woman who insisted on a miracle.' 
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Grandin, Temple, Thinking in Pictures, Expanded Edition: My Life with Autism , Vintage 2006  
Amazon
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Khinchin, A I, Mathematical Foundations of Information Theory (translated by P A Silvermann and M D Friedman), Dover 1957 Jacket: 'The first comprehensive introduction to information theory, this book places the work begun by Shannon and continued by McMillan, Feinstein and Khinchin on a rigorous mathematical basis. For the first time, mathematicians, statisticians, physicists, cyberneticists and communications engineers are offered a lucid, comprehensive introduction to this rapidly growing field.' 
Amazon
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Papers
Yus, Eva, et al, "Impact of Genome Reduction on Bacterial Metabolism and its Regulation", Science, 326, 5957, 27 November 2009, page 1263-1268. 'To understand basic principles of bacterial metabolism organization and regulation, but also the impact of genome size, we systematically studied one of the smallest bacteria, Mycoplasma pneumoniae. A manually curated metabolic network of 189 reactions catalyzed by 129 enzymes allowed the design of a defined, minimal medium with 19 essential nutrients. More than 1300 growth curves were recorded in the presence of various nutrient concentrations. Measurements of biomass indicators, metabolites, and 13C-glucose experiments provided information on directionality, fluxes, and energetics; integration with transcription profiling enabled the global analysis of metabolic regulation. Compared with more complex bacteria, the M. pneumoniae metabolic network has a more linear topology and contains a higher fraction of multifunctional enzymes; general features such as metabolite concentrations, cellular energetics, adaptability, and global gene expression responses are similar, however.'. back
Links
Erik P Verlinde The Origins of gravity and the Laws of Newton 'Starting from first principles and general assumptions Newton's law of gravitation is shown to arise naturally and unavoidably in a theory in which space is emergent through a holographic scenario. Gravity is explained as an entropic force caused by changes in the information associated with the positions of material bodies. A relativistic generalization of the presented arguments directly leads to the Einstein equations. When space is emergent even Newton's law of inertia needs to be explained. The equivalence principle leads us to conclude that it is actually this law of inertia whose origin is entropic.' back
James Clerk Maxwell Maxwell, 'Molecules' 'But though in the course of ages catastrophes have occurred and may yet occur in the heavens, though ancient systems may be dissolved and new systems evolved out of their ruins, the molecules out of which these systems are built — the foundation stones of the material universe — remain unbroken and unworn. They continue this day as they were created, perfect in number and measure and weight, and from the ineffaceable characters impressed on them we may learn that those aspirations after accuracy in measurement, truth in statement, and justice in action, which we reckon among our noblest attributes as men, are ours because they are essential constituents of the image of Him Who in the beginning created, not only the heaven and the earth, but the materials of which heaven and earth consist.' back
Leonard Susskind The World as a Hologram 'According to 't Hooft the combination of quantum mechanics and gravity requires the three dimensional world to be an image of data that can be stored on a two dimensional projection much like a holographic image. The two dimensional description only requires one discrete degree of freedom per Planck area and yet it is rich enough to describe all three dimensional phenomena. After outlining 't Hooft's proposal I give a preliminary informal description of how it may be implemented. One finds a basic requirement that particles must grow in size as their momenta are increased far above the Planck scale. The consequences for high energy particle collisions are described. The phenomena of particle growth with momentum was previously discussed in the context of string theory and was related to information spreading near black hole horizons. The considerations of this paper indicate that the effect is much more rapid at all but the earliest times. In fact the rate of spreading is found to saturate the bound from causality. Finally we consider string theory as a possible realization of 't Hooft's idea. The light front lattice string model of Klebanov and Susskind is reviewed and its similarities with the holographic theory are demonstrated. The agreement between the two requires unproven but plausible assumptions about the nonperturbative behavior of string theory. Very similar ideas to those in this paper have been long held by Charles Thorn.' back

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