vol VII: Notes
2014
Notes
[Notebook: DB 77 Discretion]
[Sunday 11 May 2014 - Saturday 17 May 2014]
[page 137]
Sunday 11 May 2014
The essence of going viral is striking the right note. A note, from a classical and quantum point of view is a superposition of orthogonal states or frequencies. In the case of a musical note, these frequencies are represented by different real phases [phased displacements] that add at every point to give the waveform we actually hear. In speech this waveform is modulated in real time to encode information. In the quantum system we can observe only one eigenfunction at a time and in order to see the actual superposition we must make many observations like the energy / frequency of a photon emitted by an atom. The act of observation requires that the observing system and the observed system share a common basis so that communication is possible. So we expect a noet to go viral if its basis is shared by a sufficiently large number of people.
We intend to capture the invariant features of the creative power of the Universe in the mathematical theory of
[page 138]
computer networks.
The difference between mathematica and the world is that mathematics (in the context of the mathematical community) can give meaning to symbols that cannot be physically realized. So we say let N be the set of natural numbers. In the parts of the Universe that [are so simple that they] have no meaning the only way to represent N is with N physical symbols, each corresponding to one natural number, an impossibility in any finite region of Universe as small as the average mathematicians's study.
It is a mistake to identify the continuum with infinity. It is better represented by the number 1 since there are no marks in a real continuum to give it any multiplicity greater than being one unary object.
Kristina Keneally: 'Here are two institutions to whom is have given every ounce of my . . . energy and almost simultaneously they have displayed massive failures in living up to their highest ideals. Fitzsimons. Peter Fitzsimons
The reason why we have separated religion and politics is because religion and theology move very slowly and are stuck in the dark ages. Theology and religion have to get back into politics, but they must be new evidence based theology and religion.
Monday 12 May 2014
Dear Ms Keneally. . . .
Rational faith, rational hope, rational charity, ie
[page 139]
probabilistic cost benefit analysis, very short odds (a certain winner, but very small payoff) vs long odds rare winner, big payoff, As we become desperate we go for the long odds option.
Tuesday 13 May 2014
Cantor's theorem gives us a formal foundation for the complexification of the Universe when coupled with fixed point theorems but both are in a sense dead formalism that only lives in the minds od the network of mathematicians that dreamt them up and uses them. So now we introduce the computer network, animated by computers, as a formal representation of the life of the UNiverse that leads to complexification by communicAtion, that is copying ('dowNloading'). We can use copying to explain the existence of discrete and identical elements n the Universe.
The truth shall make you free, they say. At present too many people are imprisoned in false truths that make them enemies of one another so curtailing their freedom since they must devote much of their energy to maintaining security from [their artificially induced] enemies.
The Catholic Church could be a good thing if the management moved into the 21st century.
Energy does not flow it is entropy / information / form that flows by communication [carried on a substrate of energy]. [gravitation describes this flow, the unmodulated energy that lies behind space-time.]
These days modern management, f it is to succeed without corruption, must be closely tied to reality. The management of the Church, instantiated in you, clearly lives in a land of
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fiction.
[page 140]
The Pope is primarily a politician who makes infallible promises he cannot keep.
Stationary points may last a long time in time but be localized in space. A simple point in spacetime is not a stationary point because time passes it by [it lasts oly for an instant]. Basically we need a point where f(x) = x.
Networks explain superposition as I, a social animal, confer with many people about what I am going to fo next and the net result is a superposition, not necessarily linear, of all our communications.
One very salient fact about my life is that time rolls relentlessly on, numerus motus secundum prius et posterius. It seems in a way that the idea that physics is symmetrical with repect to t, -t is something of a red herring, as is the plan to use the second law of thermodynamics to give direction to time's arrow. A memoryless clock has no direction, ie a simple harmonic oscillator with fixed energy, but as soon as we attach a counter to it it gets direction, increasing count being interpreted as increasing time maybe the entropy of the clock is the number of clicks it has counted, and the counter [entropy]always increases as long as the clock is not stopped.
Wednesday 14 May 2014
Norman Abjorensen: 'Society is changed. White Australia is a think of the past; capitalism has evolved,
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The Keynsian consensus has been abandoned and the mixed economy dismantled, globalization has internationalized the economy in a way one unimagined and the cold war has become the culture war. Norman Abjorensen
War arises when there is no basis for communication between two groups.
'. . . in a very real sense, the basic raison d'etre of the Liberal pParty remains as steadfast as ever: to keep Labor out of office.
'the notion that government somehow stands between powerful vested interests and powerless people, and mediates outcomes, has been completely and utterly trashed.'
'. . . the Abbott-Hockey regime is completely different: the party that did not want to become a party is now a government, apparently, that doesn't believe in government.
Abstract and outline the 'The unreasonable effectiveness of mathematics revisited':
0. Abstract
1: Introduction: Language
2: The mathematical theory of communication
3: Physics
4: Quantum mechanics and fixed points
5: Continuity and Noether's theorem
6. The Universe as a digital computer network
7: Can a digital computer network do quantum mechanics?
8: Network layers and transfinite numbers
9: Gravitation:the zero entropy physical network
10: Mathematics as fixed points in the human intellectual layerEinstein 1954 to Besso: 'I consider it quite possible that physics cannot be based on the field principle, ie on continuous structures. In that case nothing remains of my entire castle in the air, gravitation theory included.
0. Abstract
Wigner highlights the miraculous correspondence between mathematical symbolism and observations of the physical Universe: . . . the enormous usefulness of mathematics in the natural sciences is something bordering on the mysterious and there is no rational explanation for it.
Wigner's observation compels us to examine the relationship between mathematics and physics. Here I wish to suggest an explanation of Wigner's observation. The idea is essentially very simple. Science is devoted to detecting and connecting the fixed points of the Universe. Mathematics, on the other hand, represents the fixed points of a subset of the Universe, the mathematical community.
Insofar as the Universe is one and consistent, it is not surprising that we find a considerable degree of isomorphism or symmetry between these two sets of fixed points. The challenge here is to build a bridge from physics through the mathematical community to the Universe as a whole that clearly illustrates that symmetry.
Quantum mechanics has taught us that all the observable features of the Universe (upon which science is based) are quantized. Nevertheless, quantum mechanics assumes that the mechanism underlying these quantized observations can be represented by continuous mathematics. Here I suggest that this assumption is false, and that we can better describe the Universe by assuming that it is digital 'to the core'.
This digitization suggests that we can see the Universe as a logical, rather than a geometric continuum. The mathematical representation of a logical continuum is the Turing machine, a stepwise digital process that leads deterministically from an initial condition to a final condition. We may see such logical continua as the fixed points in the universal dynamics which form the goal and substance of science.
I guess that the theorems requiring fixed points in a dynamical system are indifferent to the complexity of the system, and I postulate an isomorphism between the dynamics of the mathematical community and the dynamics of the world. I propose that this isomorphism explains the 'unreasonable effectiveness' of mathematics in the sciences.
The cosmic constant problem (10100 discrepancy between quantum field theory and general relativity) perhaps arises because the huge density of the vacuum is taken as common to all regions of space instead of being concentrated at some early point in the expansion of the Universe where such a density is appropriate to the smallness and lack of spatial extension of the Universe.
Planck in Cercignani page 210: '. . . the essential feature of scientific research , ie the construction of a picture of the world which is rigorously stable, independent of the differences which mark the generations and peoples.'
[page 142]
Boltzmann; 'In the eighties and nineties of the last century personal experience taught me how much it cost a researcher who has an idea on which he has reflected at length to try to propagate it. He had to realize how little weight the best arguments he exhibited to that end carried since his voice had not sufficient authority to impress it on the world of science. In those days it was a vain enterprise to try to oppose such men as Wilhelm Oswald, Georg Helm, Ernst Mach.' And the Pope!
Science and art, Cercignani page 235: Boltzmann: 'Only those inferences are correct that lead to practical success.'
Thursday 15 May 2014
Zero entropy - determinism. Carnot cycle tells is how much determinism we can get out of a given temperature interval.
Feynman: Statistical mechanics: Both quantum and classical statistical mechanics are about the traffic on the universal network.
Friday 16 May 2014
Saturday 17 May 2014
Khinchin age 6: '. . . in the statistical problems of quantum physics it is necessary to develop computational methods for three fundamental statistical schemes: complete, symmetric and antisymmetric.'
