vol VII: Notes
2013
Notes
[Sunday 7 July 2013 - Saturday 13 July 2013]
[Notebook: DB 76 Liberation]
Sunday 7 July 2013
Nicolis page 12: Onset of convection — positive feedback — dynamic structure
Conduction: steady state. Nicolis & Prigogine
page 13; communication (collision ), coherence, order, although the ordered component of particle velocities is very small compared to the disordered component - convection velocity vs molecular velocity.
page 14: '. . . as soon as ΔT slightly exceeds ΔTc, we know that ells will appear: this phenomenon is therefore subject to a strict determinism. In contrast, the direction of the cells is unpredictable and uncontrollable.
By our intuitively skillful parenting (and the local zeitgeist) we
[page 81]
have brought up our children without the tension of heaven and hell in their lives that so dominated me, rendered more potent by the presence of the all seeing God judging my every act, illegally scratching forbidden itches.
So the children wonder why go back over it all. Because a large number of people are still imprisoned in similar belief systems which manifestly contradict our current understandings of the human state and human rights, and this needs to be made clear by a coherent statement about how God really works so that we can explicitly pinpoint the mistakes in the old model of God.
It may seem a bit weird to introduce theology into mathematics The reason is that both share the same property of imagination limited only by consistency mathematics in the Platonic world of symbolic consistency, theology in the real world of physical consistency. Here the limitations on mathematics give us the clue to the limitations on physics which define the fundamental particles (symbols through which the stationary elements of the Universe build themselves, the more stationary the better defined (the uncertainty principle).
Bob Marley: War Bob Marley
The convective layer uses the molecular layer to realize itself.
Nicolis page 17; Chemistry: 'detailed balance' conservation of numbers of atoms, which are to first order unaffected by chemical processes.
Input of energy moves systems away from equilibrium by making processes happen faster and change their nature as a consequence. Why?: speeding up the clock on a digital computer does not change the process. So indeterminism must be associated
[page 82]
with processing rate as we should expect from the fixed size of h and the uncertainty relations: faster processes are, other thing being equal, less resolved because resolution is in proportion to the spacetime interval occupied buy the measurement.
The relationship between formal and physical is defined by fixed point theorems. Insofar as mathematics is a language for finding and representing fixed points in a system whose dynamics are controlled by logic and axioms. We have already noted quantum mechanics is a thing that we use to identify fixed points and their frequencies. The most interesting feature of quantum mechanics which is absent in formal mathematics is the limit on the resolution of symbols (Turing). Alan Turing
Catharsis : the physical realization of a formalism. From marriage to consummation.
Nicolis page 16: 'open system" mass flow
'stationary non-equilibrium state', a flow, a manufacturing process in which raw materials are supplied and products removed.
page 17: "autocatalysis' product enhances its own production, eg a popular song, fashion, etc etc, combustion, catching alight.
'. . . self reproduction', one of the most characteristic properties of life, is basically the resutl of an autocatalytic cycle in which the genetic material is replicated buy intervention of specific proteins themselves synthesized through the instructions contained in the genetic material.'
Formal — physical — formal . . .
[page 83]
Nicolis page 20: Control — erasing (forgetting) perturbations. Dissipative because (Landauer) erasure requires energy. Landauer
Nicolis is concerned with flows of matter and energy but where [do] these come from?: they are aspects of the divinity which we wish to derive from an idea like pure act = pure concreteness,potential all fulfilled, bifurcating to unrealized potential which serves as an attractor.
Nicolis page 21: '. . . we can say that in the regime of uniform steady state (which is also asymptotically stable) the system ignores time. But once in the periodic regime, it suddenly "discovers" time in the phase of the periodic motion and in the fact that the maxima of the different concentrations follow eachother in a prescribed order. We refer to this as the breaking of temporal symmetry
Adele: Rolling in the Deep: 'There's a fire starting in my heart. . . '
'From an even more fundamental viewpoint, the maintenance of sustained oscillatory behaviour implies that its different parts act in concerted fashion by maintaining sharp phase relationships between themselves; otherwise destructive interference would wipe out the oscillatory behaviour.
Destructive interference: perverse subsidy.
. . .
'In chemistry even a spatially homogeneous system can show complex behaviour in time.'
BZ reaction movies
[page 84]
Nicolis page 23: 'It is amazing to see these deep notions emerging quite naturally through the intrinsic dynamics of a modest ordinary-looking physico-chemical system.' Symmetry with respect to complexity.
I think of you in motion. Nic Cave: 'Are you the one . . .'
The Catholic idea is that everything we do without the grace of God is wrong, a failure from the start since from the time of the Fall human nature has been deranged, in the need of firm control if people are to reach salvation. Nicolis page 44: 'Einstein's equations describe an evolution in which matter and entropy are conserved. Therefore if we go back into the ditant past we arrive at a singularity for which all matter and entropy are concentrated at a single point.' (?)
General relativity is indifferent to entropy?
Monday 8 July 2013
Nicolis page 46: Conservation is a cardinal thing, it requires a measure of x which does not change in (spacetime) processes, in particular time.
Energy is indifferent to the nature of a process. It implies a conserved measure of time, E.t = n.h.
Momentum of a mass at rest is 0, so momentum can only be measured relative to two masses.
[page 85]
Angular momentum: phase. A quantum of action (nh) corresponds to n periods, ie n returns to the same initial state. Insofar as a Turing machine caries a full description of every next move, it can start and stop anywhere in the process without lost its determinism, so long as its memory lasts.
We look at this conservation digitally as the boundaries on physical process set by some property of the Universe, and since the only property it has is local consistency we must use this to understand these boundaries (togo beyond them is to go into inconsistency and be annihilated).
Nicolis uses continuous mathematics and calculus to manipulate these and related quantities whose meaning arises from their numerical relationships, the relationships of their measures. These classical approximations work because quantum mechanics also conserves the measure of phase, each period corresponding to a logical step between two fixed points. As in building, where every operation begins and ends at a fixed point so I can walk away from the job and start again later.
Action bifurcates into energy and time and then momentum and space. At the same 'time', energy bifurcates the 'static' actus purusof the eternalGod into a sequence of actions punctuated by fixed points where the process may rest for a while before it goes on as I stop and start for various periods while writing here, and the same on all jobs that are not completely routine.
Nicolis page 47: Newton's force law F = m d2/dx2 is indifferent to the direction of time.
page 48: '. . . nothing in the equations of motion allows us to differentiate
[page 86]
between forward and reversed motion.Space home of potential, eg gravitational potential. We all move in a potential space, attracted this way and that by necessary tasks and our relationships with other people ad things in general, ie human space, which we both construct and navigate as we live.
The stars are our local reference frame.
Nicolis page 49: phase space, Hamiltonian coordinates.Rosen, WaPo Patriot Act.
Nicolis page 73; 'Thus we find a deep unity amongst widely diverse systems and this allows us to assert that the passage toward complexity is ultimately related to the bifurcation of new branches of solutions following the instability of the reference state caused by the nonlinearities and the contraints operating on the open system.'
page 74: '. . . bifurcation generates solutions displaying broken symmetries
The theory of probability takes us from concrete discrete events to continuous functions via measure theory. Kolmogorov
What drives bifurcation (complexification) at al levels of complexification? A control parameter, meaning?
Continuous becomes discrete through nonlinearity, a step function, the most nonlinear discontinuous thing possible requiring an infinite superposition of frequencies to approximate exactly.
Tuesday 9 July 2013
[page 87]
Wednesday 10 July 2013
My ignorance is vast but my determination is strong. Once I dreamt of developing a theory that would serve as an antidote to mutual assured destruction as the foundation algorithm in human relationships from personal murders to global suicide.
Quantum logical operators: transform and define spectra of states and rotate between them from eigenvector to eigenvector (function, Turing machine, process). the Platonic view stands outside time purporting to se everything at once. The physical view on the other hand has its resolution limited by the data rate. The fixed points of a real dynamic system do not appear all at once (as in a superpostision) but sequentially, as in a serial channel transmitting symbols.Thursday 11 July 2013
How does a network arrive at consistency? Inconsistent messages meeting locally annihilate ne another. This appears in quantum mechanics as opposition in hase leading to 'destructive interference'. We can see the process in operation (to some degree) in the functioning of a political democracy which develops policies through widespread public discussion which might be expected to expose inconsistencies (either internal or environmental) in policy, eg elements that make it impossible for many citizens to comply with / benefit from the policy when implements. We can see this formally when inconsistencies are demonstrated in the law.
Friday 12 July 2013
[page 88]
Nicolis page 183: Symbolic dynamics : Markov Chain, source entropy and information theory. Symbolic dynamics - Wikipedia
Symbol = state
Nicolis page 184: Khinchin: McMillan's E-property. Khinchin
page 185: 'a deviation form equiprobability [of a source alphabet] acts like an extremely efficient selector of privileged sequences of the set of all possible random sequences. Such as deviation can be realized if the system is not isolated but is instead put in contact with an external environment [eg a brain]. As we have seen repeatedly, such conditions can lead to nonequilibrium states that can be sustained indefinitely because of the exchange of matter and energy between the system and the external world. Non-equilibrium is therefore the natural environment in which selection takes place.'
But how do we deal with the Universe as a whole? Ie how to we break the symmetry of equiprobabiity? Quantum mechanics appears to do it by selecting computable functions (eigenfunctions) out of all possible functions ℵn —> ℵn-1.
Sinead: 'I have a universe inside me, Where I can go when spirit guides me. There I can ask any question. I get the answer if I listen . . . ' Faith and Courage, The Healing Room. Sinead O'Connor
Computable = bounded ie halting, a stop in the dynamic process.
'It is remarkable that in many cases chaotic dynamics can . . . be cast in the form of a Markov chain [source]. The reason is that the state space frequently can be partitioned in a finite number of cells that, as time goes by, the dynamics induces transitions between these cells satisfying the Markov property.' Markov chain - Wikipedia
[page 89]
Ie a string of computations is Markov.
We represent the classical God as an isolated quantum system with a continuous (chaotic) spectrum and then watch it select computable fixed points.
p> Nicolis page 185-186: 'Because of the existence of such partitions a new level of abstraction can be reached in which symbolic dynamics involving the succession of letters of an alphabet labelling the various cells again becomes a natural description.
page 193: Can we go from conservative systems to dissipative ones?
Dissipation is relative to an environment, the source and sink of the dissipated quantity (action, energy, momentum, potential).
page 194: 'The meaning and rate of irreversibility. Genera relativity allows for a bidoirectional (reversible) system, ie expanding or contracting Universe.
page 194: [Irreversibility]\ introduces a physical quantity, entropy, which endows rime with a privileged direction: the "arrow of time", to use Arthur Eddington's expression. In contract since Newton;s physics has set its task s the attainment of a basic level of reality that is timeless. The great conceptual revolutions brought about by relativity and quantum mechanics have not altered this program.'
You too are seeking timeless fixed points in the Universal dynamics, ie points which appear again and again.
Max Born: ' "irreversibility is a consequences of the explicit introduction of our ignormance into the fundamental [dynamical laws]" '. Which
[page 90]
are digital and therefore deterministic and of limited resolution, ie the Universe itself is not Platonic but undertain, as Platonic mathematics (in the hands of Cantor, Gödel, Turing and Shannon) itself demonstrates.
Nicolis page 194: A conservative dynamical system, is re[resented as the flow of an incompressible fluid in a suitable phase space. Liouville, unitarity. Liouville's theorem (Hamiltonian) - Wikipedia, Unitary operator - Wikipedia
page 195: Conservative dynamic system is unstable, since it has positive feedback but no negative.
page 196; 'While the volume (the measure) in phase space is always conserved during the evolution its shape is highly deformed as a result of instability.
page 197: 'It is the elimination of infinite information which leads (as we shall see) to irreversibility (Gödel).'
Tweet: Work is not punishment, as the Bible says, but the source of life.
Wiener: in any world within which we can communicate, the direction of time is bound to be uniform. The Human Use of Human Beings - Wikipedia
Nicolis pag 198: '. . . all dissipative processes we have been studying lead to a positive entropy production. The very existence of dissipative dynamical systems is a manifestation of the second law of thermodynamics.' Where does the Carnot engine fit in here? Carnot heat engine - Wikipedia
page 199: '. . . the elucidation of the relation between conservative and dissipative dynamic systems necessarily involves a clarification of the relation between deterministic dynamics and probabilities.' Computability and symmetry.
[page 91]
'The basic question in the theory of Markov processes is the transition probability. Provided by quantum mechanics and the Born rule [(?)].
Al Jazeera / Falk / Snowden Richard Falk
Al Jazeera: Gideon Levy. Bilal Yousef
h5>Saturday 13 July 2013
Englund / WaPo / Snowden Will Englund
Fisher / WaPo Nuremberg 1945 Max Fisher
Nuremberg principle: higher layer must respect the rights of the lower layer. Nuremberg principles - Wikipedia
Nicolis page 203: 'In summary, the dynamics described by the Baker transformation is conservative, invertible, time reversible, and chaotic.' Given the standard assumptions of continuous mathematics which are possibly only fulfilled in the large number regime. Baker's map - Wikipedia
My whole life has been goal oriented, ie driven by a potential. Initially this goal was heaven, a goal to be scored by the lesser goals of poverty, chastity and obedience etc, all rather unnatural and therefore stressful (potential causes stress as in stress-energy tensor). Now the goals and potentials are jobs to be finished, people to be satisfied and so on, but the overall level of potential and 'drivenness' seems to have come down, so now the journey is beginning to take precedence over the destination since the destination is no longer the clearly defined castle in the air I was brought up with but simply life itself, a little vortex in the overall divine flow.
[page 92]
Coming down form the vague heights to the detail. Nicolis and Prigogine show a way from continuous to digital which assumes the existence of a large number of particles / degrees of freedom Then they work out a way to reduce the Platonic continuum to a digital system. Why not accept that the thing starts with no structure at all and bootstraps up its own complexity, a la Cantor.
The approach here emphasizes digitally computable systems as the fixed points, since they are controlled by the computation and do become periodic, a dynamic fixture. Here we have two routes to the same conclusion, if we see Gos as a continuum, omnino simplex, no detail. The difficulty with the Christian position is how does God store information, and the answer is in fixed point which continually refresh themselves, like people reproducing generation after gene. We imagine the first two fixed points as duals of one another, simply p and not-p, and we see the sequences p, not-p, not-not-p = p, not-not-not-p = not-p . . . , the simplest periodic function which is simply the application of the not operator.
Listening to the chant and wondering how one can attack an institution which has led to such strange and hauntingly beautiful plainsong, a form so many centuries old. Gregorian chant
Not is fully reversible (entropy conserving) since the cardinal of not-p can be taken as equal to the cardinal of p/ We can produce a continuous approximation to the not function if we consider a complex number with constantly increasing phase, a 4-state system, 1, i, -1, -i made from the two state system |1|, |i|.
[page 93]
The first bridgehead has to be rough and ready, and then we can consolidate.
AlJaz Paul Bhatti: Palistan's religious divine Paul Bhatti
I should share what I know. Al Jaz Opinion.
Actust purushas no entropy. Entropy is a count of the fixed points in the actus purus.
The beatific vision is the experience of life.
