Notes
[Sunday 19 October 2008 - Saturday 25 October 2008]
[Notebook: DB 64 Gravitation]
[page 123]
Sunday 19 October 2008
Capitalism 3.0 Barnes Christianity x.0
Monday 20 October 2008
Spooky action at a distance (page 90) Notes 31 August 2008 Our hypothesis is that the Universe is quantized in order to prevent communication error, and that a consequence of this is [that] the finite maximum velocity of light is a consequence of the processing necessary to encode the quantized messages. As a consequence, we would expect no delay for messages that need no encoding, and therefore no processing. On the assumption that gravitation couples to everything and 'cannot go wrong' we hypothesize that gravitation need not be quantized. Consequently we might expect gravitation to propagate instantaneously. So question 1: is there any evidence that gravitational effects are limited by the velocity of light?
page 124
Salart et al have shown that action at a distance between entangled particles propagates at many times the velocity of light. What is the connection here. The quantum formalism is continuous, but Zurek argues that the quantum collapse of the wave function is logically connected to the transmission of information, so where no information is transmitted we might expect no collapse and no quantization. How do all these things fit together.
Zee shows that quantum mechanics is in effect one dimensional quantum field theory. The heart of quantum mechanics may thus be considered to be outside space and concerned only with time and energy. Gravitation, too, is concerned only with energy, seeing nothing else, ie seeing everything in terms of energy , blind to the details of the embodiment of energy. So we may see quantum mechanics and gravitation as properties of a Universe that has not yet evolved spatial distinctions.
The evolutionary paradigm has served to organize all living organisms into the tree of life which we may see as rooted in molecular chemical processes that are gradually differentiated , compartmentalized and layered to form immensely complex organisms such as ourselves. Chemists see the chemical tree rooted in atomic physics and physicists see the atomic tree rooted in particle physics which is ultimately rooted in the initial singularity whose only attribute appears to be an abundance of energy. All this development can be neatly encapsulated in a layered network paradigm.
A rogue nation. The vertex of evil. A nation where a deep sense of righteousness breeds prisons, locks, police and murder, a culture that is exported to the world by
[page 125]
the media, business and the military. But the days of rule by violence are coming to an end. Superior military force is becoming a useless liability and business power and media control are set to go the same way. What we see is a phase change caused by the opening of new channels of communication, first jet planes and now the internet.
Religion evolves, and evolution, insofar as it is observable us a series of events (punctuations) . We associate the transformation between Judaism and Christianity with the name Jesus of Nazareth, a person who saw how to augment the traditional teaching with something new and took some of the bugs out of the old system. The most important change, symbolized by the Apostle Paul, was the decision to export their intellectual property from Israel to the rest of the Roman Empire and beyond.
Christianity, since it was devised by celibates, has failed to appreciate the great notional divide between sensuality and sexuality.
Rubyfruit Jungle : unnecessary oppression of harmless behaviours, ie behaviour freely agreed to by all the stakeholders, as we say, and wittingly. Brown
Tuesday 21 October 2008
Wolfe: Painted . . . ; Sternberg: 'Whatever else it may be, all great art is about art.' page 81. Wolfe
On cleanliness and fear: Obama and guns.
[page 126]
. . .
Seeking a fit between model and reality. One can change either the model or reality, i stay in love [with one person] by thinking differently, or find new love in a different person.
FRIENDSHIP = fit We can recognize various levels of fit ranging from true love to trivial retail deals.
Spooky action at a distance, quantum mechanics, classical theology and maybe gravitation all point to a formal world outside space in the sense that spatial separation is meaningless to it, has no bearing on its operations. Al that counts is temporal succession. Space, by definition, is a realm of different symbols, whatever they may be. These symbols exist in parallel, that is they are spacelike. So we imagine spacetime as a continuous network of processors communicating by the exchange of energy and momentum.
We need a Keynesian revolution in spirituality. Jessica Irvine Sydney Morning Herald 15 October 2008 page 17: 'It was Keynes who after the Great Depression pioneered the idea that governments should intervene in the business cycle to smooth over its peaks and troughs. . . . Now the economy is in a downturn [?] and the Federal Government is spending 10 billion, it is doing the opposite. It is acting in a 'counter cyclical' way to help fuel the recovery.' Jessica Irvine
[page 127]
To a large degree we assess the credibility of a speech by the apparent conviction of the speaker. In the absence of any other criteria, the demagogue carries the day. It is so in the theological field, producing something of a dilemma common to much science: on the one hand if the hypothesis is to be hear, it must be passionately expounded, defended and differentiated from the alternatives.; on the other hand, scientific method requires us to explore all the possibilities and judge them on merit, just as we might do when recruiting an employee.
Lottery winning systems: proposing order where there is non, thus duping the punters into buying the system - how to get to heaven.
Wednesday 22 October 2008
Quantum field theory takes space-time as given and attribute to it a classical continuous structure defined locally by special relativity. We wish (Like Misner, Thorne and Wheeler) to go behind this veil and derive an information theoretical picture of spacetime from thee properties of information carrying networks. Misner, Thorne and Wheeler Since these are layered we postulate an initial layers that is completely without structure isomorphic (iso=not-morphic) to the classical god of medieval scientists, philosophers and theologians. Our new space has discrete dynamics described by Turing machines and ordered sets of symbols which at once removes the infinities from Quantum Field Theory because we are no longer concerned with infinitesimal denominators of continuous spacetime (at least in the observable world) but with discrete messages and processes.
[page 128]
Quantum Field Theory starts with Lagrangians and uses them to construct Feynman diagrams whose integration provides the amplitudes for events in the system described by the Lagrangian. Veltman How does the network picture fit this?
Veltman page xi: 'Perturbation theory means Feynman diagrams. It appears, therefore, that anyone working in elementary particle physics . . . need to know about these objects. Here there is a most curious situation: the resulting machinery is far better than the originating theory . . . '
page xii: 'Well, things are as they are. In this book the object is to derive Feynman rules, but there is no good way to do this. The physicist may take the pragmatic attitude: so long as it works, so what. [Christianity falls into this category]. Indeed, that is a valid attitude. But that is not really enough. Feynman rules have a true physics content, and the physicist must understand that. He/She must know how Lorentz invariance, conservation of probability, renormalizability reflect themselves in Feynman rules.'
page 1: The infinitesimal mathematical niftiness of Lorentz transformations viewed as rotations in spacetime may serve to hide the physical content, which amounts to classical communication causality" a message takes time to propagate from A to B ad so A can have no effect on B (there can be no correlation of B with A) until this time has elapsed.
'Spooky action at a distance' establishes correlations instantly, as though there we no distance between the agents.
[page 129]
Lorentz transformation in 3+1 space has six parameters, ie six degrees of freedom arising from orientation (direction) and position. Lorentz transformation in 1 space (time) has just one parameter (time), ie velocity through time which cannot be measured because is the absence of space there can be no member of the past.
All other things being equal, if there are two possibilities (a space with to points) a system will spend half its time in each.
Veltman page 4: Since any finite rotation can be seen as an infinite sequence of infinitesimal rotations it is sufficient for most purposes to understand infinitesimal Lorentz transformations.'
This is possible if Lorentz transformations are integrable, ie all the same so they can be described by an additive measure theory, ie they behave like cardinal numbers. It will not work if individual transformations are formally different from one another, like chalk and cheese, The network model allow for such differences through different encodings. The fact that that Lorentz transformations work at the simplest level means there is only one encoding here, the cardinal encoding which sends messages by sending cardinal numbers (counts) which classical physics treats as real numbers. Real numbers can be represented (approximately( by rational numbers whose numerator and denominator are counts. Physics holds in the cardinal domain, and physical theories (like quantum mechanics) provide us with a mechanism (accounting system) to account for the counts we observe.
[page 130]
Veltman page 10: Maxwell. The gradient of a potential is a force. The unit of force is a message. If the message us the empty set, a pure unit the total force is just the total number of messages. If, on the other hand, the messages are differentiated elements of a larger structure (like a computer program) the whole is greater than the sum of its parts. This greatness is measured by the transfinite transition, since uniting disparate events into a string of events exponentially increases the number of states available to the system and thus the information content of actual systems in this space.
The mathematical bootstrap: insofar as the system is error free, it is able to implement error correction procedures to secure its own integrity. Creation.
DeLisi N455:877: 'As in all complex human ventures, the Human Genome Project had its share of stresses, squabbles and power plays between different agencies. In the end everyone that mattered pulled together to create what I regard as a phase transition in national science policy. It is a monumental tribute to the biomedical research enterprise in the United States - not only to the scientific ingenuity that brought it successfully to completion, but to a culture of versatility and adaptability. DeLisi
Biology is the study of molecular machines and networks of molecular machines.
Points of interest: non-quantization of gravitation / instantaneous action at a distance / renormalization
[page 131]
Pure energy transfer: message is an empty set. How does energy couple to itself?
Dark matter introduces a repulsive form of gravitation? Causing the Universe to expand faster than ballistic? Dark matter - Wikipedia
Richtmeyer et al Introduction to Modern Physics p 127: 'It must be emphasized that the assumption of a discrete set of possible energy values or energy levels for an oscillator was completely at variance with classical ideas . . . when the energy of a given oscillator changer, therefore, it must change suddenly and discontinuously.' by receiving a discrete message. Richtmeyer et al
Veltman page 15: Momentum description: 'the state of a free spinless particle is completely specified by its three-momentum', ie completely specified relative to space-time. Spacetime are of the essence of the definition of a particle. Yet 3-momentum has no meaning except with reference to a frame from which the momentum is measured. In its own rest frame a particle has momentum 0.
'a particle of well defined momentum and energy is described by a plane wave' occupying all of spacetime.
Hilbert space vectors are orthogonal if the corresponding states are mutually exclusive.
page 16: 'there is a problem because the momentum range is continuous'. It is made discrete by putting the Universe in a box.
page 21: Quantum states do not exist in spacetime - this explains action at a distance. They can, however, be projected onto spacetime.
[page 132]
From action to Feynman diagram. Feynman diagram - Wikipedia What is the network formulation of this transition?
Veltman page 23: [Locality[ we hope will be achieved by insisting that the operator (matrix) describing a process at space-time point x will commute with a similar operator for the space-time point y if x and y are outside eachother's light cone.' ie XY - YX = 0.
McDonough N455:81: 'Berry and colleagues' findings are groundbreaking, both for the experimental method used (x-ray absorption near-edge structural spectroscopy, which shows that we can interrogate minute and precious fragments of the ancient earth) and for what they reveal about the early earth.' McDonough
Thursday 23 October 2008
1. States represented by vectors in Hilbert space.
2. Union of states in tensor product of Hilbert spaces
3. Unitary evolution.
4. Repeated measurements identical
5. Measurements restricted to orthonormal set of eigenstates of
observable, \{ |sk >\}
6. Probability of outcome pk = |<
sk | q >|2 where | q >
is preexisting state of system.
1. Let the Hilbert space be the network memory. It has a given dimension, n, which enables the establishment of a basis for the space of n orthogonal basis vectors, | bi > |. The state of the network psi is encoded in this space as
[page 133]
psi = SUMi ai | bi > where SUMi |ai |2 = 1. This memory is a complex space, each dimension representing an independent memory location being capable of storing a complex number 0 =< |z | <= 1. We can imagine these complex numbers projected onto the complex plane as Feynman's 'little arrows' in 2D, and the whole vector representing a state as the vector sum of these arrows in n dimensions. Feynman
2. Joint state of two vectors represented in the Hilbert [tensor] product space of the constituent networks. If we think of the constituent Hilbert spaces as containing one network node per dimension the Hilbert product space substitutes each of the nodes of one term of the product with the whole space of the other term, so that the product is in effect a network of networks or an internet.
3. The state of a system is represented by a vector of length 1, ie |psi |2 = 1. The evolution of the state is equivalent to this changing its direction at constant length in the Hilbert space, so that the evolution is equivalent to a path on the surface of a hypersphere of radius 1 in a space of 2n dimensions. Unitary evolution preserves the normalization. From a network point of view the rotation of the normalized state vector suggests a conserved flow from one point to another, a flow of probability or energy, but not an observed flow. We now turn to observation.
4. A quantum state can exist in any normalized superposition, ie there is no constraint (other than normalization) on the amplitudes aj . Measurement, however, forces the system into one or other basis state where one of the aj is 1 and all the rest 0. A measurement repeated so quickly that the system has not moved
[page 134]
away from this state will yield the same result.
5. Observation restricts the outcomes of a superposition of states to those corresponding to the basis vectors of the operator used for the observations. The instrument with which we look, in other words, determines to some extent what we see.
Performing an action means controlling a flow of probability. So in walking first the probability of right foot forward rises to 1 (and the right foot does go forward (an observation)) and then the probability begins to flow to left foot forward and so on. These flows of probability are governed by potentials established by our walking control mechanism.
Friday 24 October 2008
6. The statistics of a quantum mechanical source obey the same constraints as the statistics of a communication source. Khinchin
Südhof Nature 455:903
'The input=output properties of a neural circuit depend on both its patterns of synaptic connectivity (referred to as its wiring diagram) and the diverse properties of individual synapses in the circuit. The pattern of connectivity in a circuit is no more important that the properties of the individual synapses comprising the circuit. Use-dependent changes in synaptic strength (that is synaptic plasticity) can completely alter the relative contributions of different synapses in a circuit, thereby sometimes even reversing its input-output properties as a
[page 135]
function of previous use without a change in the wiring diagram.' Südhof
We might imagine the weights of the synapses on a neuron as elements of a normalized Hamiltonian, the increase in some weights being compensates by the decrease in the weights of others, so changing the meaning of the firing threshold of the neuron in question. Because some synapses are excitatory and some inhibitory, these weights are a vector quantity which might be represented by complex numbers.
Let us assume that spooky action at a distance implies that we must give up 'locality' and assume that quantum mechanics operates 'outside' or is logically prior to space. The velocity of light, error free transmission of messages and causality all come into existence together as phenomena emergent from a world which is so undifferentiated and so simple that the concept of error has no meaning, a maximum entropy world in which all events are equally probable and equally meaningful (or meaningless).
As a nation, the US has hit rock bottom, ruled by a common criminal, it has come to resemble him in its dealings with the world. A hypocritical, self-serving nation, without honour, untrustworthy and violent.
Dark matter couples only to gravitation, by definition? No electromagnetism. What about strong and weak?
Saturday 25 October 2008
Hopefully continue my hopeless task. There is the data glittering on the water as little creatures make ripples in the sunlight. And the feeling in my heart that human cards, properly played, could
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make life divine. Unlimited solar energy is the key, together with total recycling and information richness, as I saw long ago . . .
The fiscal crisis and quantum mechanical tunnelling. You give me value and I must pay it back or the system collapses, ie the event does not happen, I do not get to keep my house, etc.
DEBT - UNCERTAINTY
PHASE CHANGE - CHANGE OF COMMUNICATION PROTOCOL.
Self love comes first. It is every entity for itself. Cooperation arises when it serves self-interest better than non-cooperation. Cooperation also opens the door to cheating and (in human terms) criminality. These nay be seen as errors in a cooperative system (eg cancer) and so an error correcting system is necessary to preserve the commonwealth.
As long as we are operating on false concepts of our nature and our place in the life of the Universe, and such concepts are very common, we will encounter difficulties and contradictions in our live.
Another day of kaleidoscopic thought, action and experience and always Thomas' old question: quid est hoc quod est esse? What does it mean to be? To be a source, a recipient of input from the Universe, that is god, and a giver of output to the Universe, a person in the life of god, small and short lived in the overall system, but part of the whole nevertheless.
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