vol VII: Notes
2013
Notes
[Sunday 17 March 2013 - Saturday 23 March 2013]
[Notebook: DB 75 Reconstruction]
[page 37]
Sunday 17 March 2013
What to do next? The money is still on the unreasonable effectiveness, ie the isomorphism between the fixed points of reality and the fixed points of the human mind, demonstrating that the Universe is self explanatory, intelligent and creative at all levels leaving no Lonergonian empirical residue. The real problem lies in the enormous institutional momentum of the totalitarian Church which espouses blindness to reality as the foundation of its false faith. One can imagine that this will take a century to turn around, but the change is inevitable and is already under way in the ongoing scientific revolution whose principal downside is the way it is supported [by] and supports military elites. What is important is the political developments that stress human rights against all organizations like churches and governments and corporations that seek to deny the rights of the faithful, the enemy and slaves/employees . . . in order to maintain their own elite position. As global communities become more ubiquitous more people will see that peace and prosperity are possible if the parasites that feed off the body politic are suppressed Ultimately we want to see all military spending move to social and diplomatic spending and a minimal police force and judiciary sufficiently intelligent to correct clearly defined error in human behaviour that cause harm to others.
The core feature of quantum mechanics is the linear superpositions of complex amplitudes. The
[page 38]
other core (and very simple) feature is that the probability of an event is the absolute square of its amplitude, provided that the system is normalized, that is that it obeys the statistical constrain that we use to model an information source, that given an alphabet ai of events each of whose probability is pi, the ∑i pi = 1. This we might see as the fundamental constraint on logical consistency in the Universe, that one thing happens at once. This is what we observe, people speak one word at a time, but they are always speaking a word (in one way or another). So while bandwidth may vary a serial source is always speaking, ie it has probability 1.I desire you but I am not in love with you so our intercourse may be unfair trade. But you are probably aware of this. You want to have affairs, but you will not let her have affairs. If she threatens to have an affair, you automatically decide that you want to state with her. This is a feedback loop that sustains the relationship with a certain error rate, the extramarital fucks.
How are we to understand superposition? It is a hard thing to understand, a complex amplitude adding linearly, that is z1 + z2 = (a + c)x + (b +d)i, z1 = ax + ib, z2 = cx + id.
How are we to understand this, and the rule that pi =| |i >|2. The target is insight, and each insight is a step in a walk in a potential that leads to the answer, Problems are features of the potential
[page 39]
landscape. As we can understand any dimension of Hilbert space n terms of a string of two dimensional Hilbert spaces, so we can understand any multidimensional potentials in terms of a superposition of two dimensional potential.
We concatenate subsequent quantum states by multiplication, the operation that carries us from one state to another in a quantum mechanical temporal sequence. At its simplest, multiplication can yield three results, 0, resulting from multiplying anything by 0, and + or - 1, 1 × 1 = 1, i × i = −1.
Religion and politics are duals, a fact recognised by Muslims and denied by Catholics, although both act in exactly the same way. The Catholics are hypocrites, maintaining that their religion is above politics whose playing politics like everybody else. This is in itself a political ploy, invoking divine right for a course of action whose ultimate sanction is trial by battle.
We want a religion that is not based on heroic snd mythical legends and extreme states of pain and endurance, but on the everyday life of everyday people like myself, scamming along dreaming of a windfall one day.
Every insight is priceless but on the other hand it is only another step in the decelopment of a marketable product, that is something that could be offerend in fair trade. The fundamental moral principle is fairness. In love and war, ie politics, all possibilities are fair, although many choices may lead to ruin.
[page 40]
Politics works at all levels, the competition for resources to implement ideas that we see in the stock market.
One thing I don't think I have ever suffered from is serious doubt, and I think this comes from going with the flow, syncretistically accepting all those truths that are relatively well attested and fitting them together.
West page 115: 'The difference between you and me [Kamenev] Kiril is that I am devoted to the possible and you are devoted to a nonsense. "God wishes that all men should be saved and come to the knowledge of truth" . . . that is what you preach, isn't it? Yet you know its a folly. A sublime folly, I agree, but still—a folly. It doesn't happen. It won't happen. . . . Where do you go from here? Do you come with me to achieve the small possible, or go chasing after the great impossible. . . . the little gain or the great loss, Which? The limited wisdom or the monstrous folly. He had chosen the folly. He had chosen the folly and been consigned again to stripes and starvation and solitude to purge it out of him.' West
All a false dichotomy. I reality Kamenev and Kiril are equally deluded because their opinions are based on faith, not experience.
page 116: 'He made the point too that all those who are members of the Communist Party are automatically excommunicated from the Church. Decree against Communism - Wikipedia
page 117: Augustine: 'It takes a big mind to make a heresy'.
page 118: 'It is within my power as Pontiff to dispense this unfortunate man from his vows and permit him to marry. My heart urges me to do it but I dare not. To do so would be to create a precedent which might do irreparable damage to clerical discipline and to a tradition which has its roots in Christ's teaching on the state of dedicated virginity.' False discipline, false tradition. . . . 'I dare not, for one soul, put ten thousand souls in jeopardy.' False jeopardy.
The idea of superposition is as difficult as the Christian idea that God is both omnino simplex and nevertheless has the symbolic bandwidth to control every event in the whole of spacetime.
The happy heretic.
Each eigenfunction is a point in function space.
[page 42]
Monday 18 March 2013
. . .
West page 171: Telemond/de Chardin: 'The Universe is evolving and man is evolving with it—into what? . . .
Crowd sourcing? Crowdsourcing.org
More arrogance: ' "If the Universe is not centred on man, if man at the centre of the Universe is not centred on the Creator, then the cosmos is a meaningless blasphemy." Or rather, the Cosmos is the Creator, like Chanel, C≡C.
page 188: 'The Church too carried the burden of history on her back. Politically she was suspect; [?] but the very suspicion was a pointer to her task—to affirm, not the method, but the principles of human society capable of survival, capable of ordering itself to the terms of a God-given plan. She was appointed to be a teacher, not a treaty maker. Her task was not to govern men in the material order, but to train them to govern themselves in accordance with the principles of natural law.' We need some small change - Universe = God, natural law = divine law, the principle is the method, the scientific method, capable of following a moving target. Justin Romberg
The world is infused with politics at all levels, since negotiating and maintaining a cooperative
[page 43]
structure requires consensus on many details. The power elite would like to do things their way, and so consider that their infallible fiat trumps al lesser powers. Scientists are in a similar boat, since they are in direct contact with the nature and will of God, and so are in a position to predict failure of the political process goes against the will of God (that is reality, the way things are). Of course scientists can also be deceived, but they are generally on firmer ground than politicians who are jut trying to make money, for themselves or their tribe or party. Fortun & Bernstein
West page 214: 'It is not the world that is corrupt, or the flesh. It is the will of man, which is torn between God and the self.' More Catholic crap. God = self.
'One of the things that bothered me in your address is that you did not mention the Fall. I know it will bother the Holy Office as well.' No Fall, no Church. Palace of the Holy Office - Wikipedia
page 227: 'In the spiritual order, however, Callitri is subject to me. As Bishop of Rome, I am his pastor. I am not only authorized, but obliged, if I can, to intervene in the affairs of his soul.' No, the Church has no place in the internal forum [a feature of totalitarian states].
page 232: The judgement of Telemond by the ignorant of the Sacred Congregation:
' "1 The author's attempt to apply the terms and concepts of evolutionary theory to the fields of metaphysics and theology
[page 44]
is improper. . . .
4. . . . the distinction and difference between the natural and the supernatural order are not clear, and it is difficult to see how he can logically save the gratuitous nature of the supernatural order, and thus of grace." ' [ie the Church claims we have no control over our own sanctification]
pager 250: 'If a man is centred upon himself the smallest risk is too great for him, because both success and failure can destroy him. If he is centred on God, then no risk is too great because success is already guaranteed—the successful union of Creator and creature beside which everything else is meaningless.' This statement is false in the Church because it worships a false God. It is true in a divine Universe as klong as the theologians stick to the scientific method.
'. . . we are at risk of damnation. All of us. This is the price of existence.' One is inclined to say 'crap', but he speaks as a true deluded churchman.
A sensitive rendering of an organization founded on the biggest error of all, the separation of God from the World by a vicious, greedy, power hungry elite.
Secrecy is the refuge of the criminal and the incompetent, but we also nave a natural right to personal secrecy, the right to remain silent.
Tuesday 19 March 2013
[page 45]
We are living with one foot in a dream world which has been constructed by the major world religions. It is based on the solipsistic fatalism of two year olds. Since the advent of science, technology and fossil fuel, we have worked hard to introduce our dreams of paradise to real life with the aid of power tools of all shapes and sizes , painkillers, tranquilizers, antibiotics and so much more with no concern for the results than a toddler throwing food on the floor. While the average toddler really is under the care of a careful and loving parent, the dream that everything we do and think is worked for the good by a loving omniscient, omnipotent God; this is not the case. We are part of the creative power of the Universe, and can, to a fair degree, predict and avoid the downsides of our action, but avoidance often comes at a cost in thought and labour that greed tends to avoid. We need to replace these ancient fantasies with evidence based theology and religion. To be saved in natural religion is to get real, to go with the flow, to learn and respect the way the divine world works. Stop dreaming that we are special.
We have desires and obsessions. Both are potential that lead to a certain course of action, but they have different power over us. A desire is a weak force, something we think about (communicate with) sporadically. The probability of exchanging a message with an object of desire is <<1, whereas an obsession is always with is, ie p(consciousness of communicating with) = 1. I began with a desire to reform theology, to rewrite Aquinas, in my early 20s in the Dominicans. Since then I have been making rather random but effective [motion] toward
[page 46]
that goal, beginning around the age of 40 [when I saw] that we need scientific theology, which is only possible of God is observable. It is reasonable to make this assumption and follow the evidence. The alternative based on politically motivated interpretations of ancient texts, has very insecure foundations. Now that I can see how the new model of God fits the world, I am moving toward obsession, Using the notion of the scale invariance of insight, we might see my relationship with my idea as rather like the self energy of a charged particle with no size, which induces infinities. My obsession is finite, however, because now that I have reached my goal I can relax. This is possible because the world is digital, not continuous, so error free communication is possible and infinities are avoided because we never have to 'divide by zero'. Our world is logical as well as arithmetic.
Something is inhibiting me from completing unreasonable effectiveness, So print it out to look at it as a whole.I want to rebuild theology as a science based on experience rather than equisitely curated collections of old myths, wise sayings, loves, wars, [tortures,] executions ,[genocides] and so on.
Historically models of God started off very human and then became more abstract, as we see in the passage from Homer to Plato. Parmenides lies at the centre of this evolution, a scientific poet. Homer - Wikipedia, Parmenides - Wikipedia, Plato - Wikipedia
The hierarchy of transfinite numbers is a hierarchy of increasing resolution [by position significant ordering], giving more entropy for the same
[page 47]
energy.
Wednesday 20 March 2013
Creation works by the P-NP process - incomputable structures arise by chance from the region of uncertainty and then become retrospectively verified and copied by deterministic [computable] processes. This is how we can understand creation in terms of invariant formalism, the fixed points or characteristics of creation. We add that all motion requires creation and annihilation from a formal point of view, but in terms of the dynamics this means that decay of one fixed point and the emergence of another.
The structure of the real Cantor Universe is built on physics, the dynamic point of view behind the observed formalism of fixed points, From the Cantor point of view I am a numberm a multiply ordered set of states which are occupied or unoccupied, the change coming from the computers inhabiting the number—are the computers in numbers or numbers in computers? Alice might have asked this. Carroll
As well as my inner physiological process I am continually exchanging such messages as oxygen, carbon dioxide, water and other more complex and subtler molucules with my environment.
The Church demonstrates the supremacy of sovereign violence over truth. Since quite early in its history the Church has commanded the [social,] police and military power
[page 48]
necessary to enforce false belief by liquidating, imprisoning, proscribing, ... sacking [, excommunicating or threatening people with eternal damnation].
From a scientific point of view the Church is a gigantic fraud, and its promise of post mortem heaven in return for a lifetime of obedience is not fair trade because it cannot deliver. On the other hand, as a social organism whose belief system does to some extent encourage cooperative relationships between people, it has contributed considerably to the establishment of heaven on earth, as have the other great religions. We wish to maintain and enhance the social benefits by enabling a global ecumenism base on a proper scientific exploration of the nature of God.
The Cantor Universe is our memory or data structure and we establish a binary relation to each memory cell so addressed, it is either occupied or unoccupies, fitly symbolized by the glyphs 1 and 0. Glyph - Wikipedia
We gain confidence in our scientific models when we can show that they map accurately onto reality. Thus although our model of an isolated quantum system cannot be observed, its consequences can, and the model and observation coincide, often with very high accuracy. We say that our transfinite memory space infested with computers is a model of the world that applies at all scales from the quantum to the cosmic. So we must learn to see a rick, a river, a tree or any other element of the world as a physical realization of our abstract model, since on the final analysis all information
[page 49]
is physical. Does a tree look like a piece of a transfinite network? The answer, which throws light on both trees and the network, is a tentative yes, as hypothesis worth exploring.
The fact that we can map the observable processes in the transfinite network over 4D space-time grreatly simplifies our imaginative problems because like all other creatures in the cosmic network we live and move in 4D space, exchanging occupied states (messages) with one another In this model, we imagine the unobservable features of quantum mechanics by analogy with our own mental process which is invisible (transparent) to us but yields thoughts and feeling and actions in response to our inputs from our environment. EWe know that a network computation priocess underlies our lives and we assume the same fro quantum mechanics guessing that a determinkistic process cnnot be interrupts (by definition) and so is invisible to us (refer page 30).
Fleming Twice page 119 kami-kazi divine wind destroyed Kublai Khan's fleet. Fleming
As in every construction, the art of writing lies in selecting words and putting them in order to represent the fixed points in some dynamic process in the mind, The fixed points in my mind are being mapped onto the fixed points in paper and ink. The fixed points in my mind, on the other hand, are part of the dynamics of my central nervous system. In this system consciousness is the space in which we are aware of our interactions with the outside world. I, a unified huge system, am writing this.
[page 50]
The joint between actus purus and omnino simplex is weak, in fact there is no inconsistency between actus purus and omnino simplex, a single motion with a transfinite collection of fixed points. Traffic on the quantum network is a change in the occupied states of the system, when an electron 'goes' from one orbital to another. Aquinas 20
The role of religion is error correction, weeding all the scammers out of the system. The small government - every person for himself ideologists are too stupid to realize that each of them is a vast cooperative network of cells all sharing a common religion encoded in their common DNA and decoded into a phenotype by many [common] layers of processing.
phase = time. Frequency the number of short times that fit into a long time, ie cycles per second, Hertz.
The next sticky point is explaining Born's law as a consequence of a digital rather than a continuous process. Born rule - Wikipedia
Quantum computation theorists make the same mistake as Cantor, considering a continuum to be made of a (large) number of discrete points, a contradiction. A true continuum has no marks and can carry no information. Nielsen & Chuang
Information is physical, ie encoded in the fixed points of the universal dynamics.
[page 51]
What we are saying is that the uncertainty in quantum mechanics comes from the limited bandwidth of the digital computers that operate the network of phenomena.
They can torture me to death and learn nothing because I have no secrets to tell. Everything I know that does not concern someone else is in the public domain, which means that I do have secrets, things told to me in confidence that other might want to learn. So the secret services are their own worst enemies because they are trying to hide their secrets while learning those of others. What I am beginning to seel is that what do I care of the secret police know all about me. As long as it is true I am proud of it Untimately the forces of evil will be so closely controlled as to be able to do only little local damage. This is the case already in Australi where the level of state and individual violence is relatively low.
Violence occurs when softer ware fails to solve a problem and it become necessary to fall back to hard[er]ware.
The world is binary in the sense that states, that is fixed points in the dynamics, may be either occupied or unoccupied. The complexity lies in addressing the states which might begin as a binary tree but then the basis grows with the complexity, base 2 to base 4 to base 16 to base 356 etc. (the binary Cantor Universe). So numbers at the level of ℵn+1 are written to base ℵn.
[page 52]
It becomes easier to express as I begin to feel it rather than just deal with it formally on a logical tightrope, arguing my way to things which seem at first impossible and later obvious, like the special theory of relativity.
It is becoming less and less productive for the elite to tell outright lies and try to get their way by force if they cannot get it by deception, a situation that encourages people not to rock the boat [ie whistleblowing is becoming easier and safer].
Declaration of Independence; The New Word of God NWOG, TNWOG
Thursday 21 March 2013
Good yarn: as plausible series of implausible and surprising events - fiction.
Sound theory: same, but maps accurately to reality = fact.
What did Planck really discover? We say quantization, but his real discovery was to find the strict connection between phase and energy, E = ℏω, or, when ℏ = 1, E = ω = dφ / dt, where φ is phase, a measure of the correlation of two systems.
Quantum mechanics is a mathematical model of the physical layer of the world. Galileo foresaw that mathematics is the language of nature and Newton applied it through the invention of calculus. He discovered the fundamental differential equation of classical
[page 53]
mechanics, G = m d2x / dt2. This ordered set of symbols represents an invariant or fixed point in the motion of a massive particle relative to a fixed Euclidean space and Newtonian time. His work ignited an explosion in the mathematics of the continuum that led to Cantor's discovery of the transfinite numbers, the largest possible function space. Cantor saw that the cardinal of the set of all mappings of the natural numbers onto themselves is strictly greater than the cardinal of the natural numbers, and that this way of generating high cardinals could continue recursively without end. Hilbert elaborate these ideas to produce Hilbert space, the playground of quantum mechanics.
It gradually became clear during the nineteenth century that Classical mechanics did not apply to the interaction of radiation and matter, the black body problem,. A classical analysis in terms of classical harmonic oscillators could not follow the data and led to infinities. Kuhn
Kuhn page viii: 'Planck's resonators, I concluded, absorbed and emitted energy continuously at a rate governed precisely by Maxwell's equations. His theory was still classical. . . . Even in the middle of 1906 neither restrictions on classically permissible energies nor discontinuities in the process of emission and absorption were to be found in Planck's work. There are, however, the central conceptual novelties that we have come to [associate] with the quantum and they have invariably been attributed to Planck and located in his work at the end of 1900.'
page ix: '. . . Ehrenfest and Einstein . . . who first recognised that
[page 54]
Planck's black body law could not be derived without restricting resonator energy to integral multiples of hν or some equivalent non=classical step.' (1906)
Kuhn page x: 'By the end of [1910] most theorists . . . were convinced that the [black body problem] demanded the introduction of discontinuity.
'As that conviction was established, the black body problem lost its central role in the development of quantum concepts, for it offered no clues to the source and nature of discontinuity.'
'Because it transformed the laws of discontinuity from Planck's resonators to massive atoms and molecules, the specific heat problem is the primary source of the search for quantum conditions.
Kuhn worked on this book from 1961-1978.
page 4: Kirchoff's radiation law: 'the equality of emitted and absorbed energy must . . . apply separately to each infinitesimal wave-length, ie that aλKλ= eλ. In addition he demonstrated that, since Kλ is constant throughout the cavity, the ratio of aλ to eλ must be the same for all materials, however differently there materials may emit and absorb. . . . the intensity distribution Kλ is a universal function dependent only on the temperature and the wavelength.
page 5: Boltzmann applied thermodynamics to black radiation, possible because it made of particles, ie fixed points that can be counted to give an entropy.
[page 55]
How much information is transmitted by a look of love? How much meaning?
On the one hand, God is God [Yahweh], on the other God is the Word [Logos] and on the third God is love, the spirit, the initial singularity in s relationship., maintaining it and breaking it when the dialogue is over. Each state may represent s relationship—is occupied if the relationship exists. At the same time as particle physics was developing people were consciously thinking and experimenting with non-traditional relationships to one another, ie protocols, how to treat one another. The basic protocol is the charter of human rights, the bedrock of our relationships to everybody which can be tailored to our more intimate relationships with well known people.
All we can see are the fixed points of the dynamics because the deterministic movements between them are invisible because to become visible they would have to interrupt their process to communicate and perhaps lose their determinacy. [So I do not have time to publish my work while I am developing it, except in the undigested form of these laboratory notes'.]
Digitization is introduced into continuous mathematics by the back door in the assumption that the continuum is made of a very large number of points What we mean here by continuum is something unresolved, with no points, no entropy and no information, a perfect symmetry.
[page 56]
Point set theory is inconsistent with continuity. Resolution is determined by 'requisite variety, which we might call bandwidth, which introduces the time domain, whereas requisite variety in a Platonic system has to do with the number of states existing simultaneously. Because the system is dynamic, time is of the essence as well as space. Time means timing, which mean phase. An amplitude is a complex number which has a phase.
Science 339:1026 1 March 2013: A call to cyber arms. Why not cyber peace? What is the root problem here? It is religious: we want to rip you off and trip you up because that is what we feel about you, and maybe you feel the same about us? Why? Because enemies model the world as a zero sum game—our aim is to get your stuff, not to create new stuff.
Souder, Carson Souder
Kuhn page 11: '. . . three fields that were to interact consequentially within Planck's work . . . thermodynamics, electromagnetic theory . . . statistical mechanics.
Friday 22 March 2013
On making the world a computer network, the argument from quantum mechanics.
1. Normalization of quantum and communication sources.
2. The precision and stability of eigenvalues, which signifies
[page 57]
a deterministic computing process. This suggests tat to every eigenfunction corresponds a Turing machine, and further, since there are only a countable number of determistic computers, that there exists but a countable set of eigenfunctions underlying the processes in the Universe.
3. There is nothing special about physicists. The more mystical wing of quantum mechanical interpreters have speculated that is is the act of observation by a consious being that casues the collapse of the wave function. Here we interpret it as the halting of a computation, whose output is a particle or message, to serve as an inut to another process. As in an engineered network, the computers do the world of encoding and decoding messages and addressing them.
4. Zurek, the quantum origin of quantum jumps which shows that they are the result of two sources (observer and observed (and vice=versa)) finding a common code (orthogonal basis) for their communication, since without the shared basis communication is no longer deterministic, just as messages become garbled if the decoding algorithm is not the inverse of the encoding algorithm
The transfinite network arises because networks are layered and it is the ability to layer (to recurse, building on what is already done) that carries the Universe on from the physical hardware layer (the initial singularity).
5. Determinism causes invisibility, since all computation is physical and physical resources are limited, a halting
page 58]
computation cannot afford to be distracted by explaining its every move to bystanders, only the final result. So deterministic processes are invisible, visible processes indeterministic (so does here lie the explanation for Born;s rule?) Those processes that never halt never emit messages and we never hear form them, not does anybody else, so they might be dark matter Even these still send very feeble gravitational messages.
Jill Lepore Dark Ages NYorker March 2013 page 28-32
page 29: 'Guantanamo . . . "the legal equivalent of outer space".'
page 30: End of Christian trial by ordeal 1215, Fourth Lateran Council. Trial by ordeal - Wikipedia
First criminal jury trial, Westminster 1220
'The Five Knights case led to the 1628 Petition of Right which turned habeas corpus from a privilege to a right and then in 1641, Parliament passed the Habeas Corpus Act, whose power was extended in 1679 in a piece of legislation William Blackstone called a "second Magna Carta".' Habeas Corpus Act 1679 - Wikipedia
page 32: Greenburg and Dratel: The Torture Papers Greenberg
A message is a bond between two systems and it is what we actually see of the relationship between the systems, eg between the world and me [or two atomic orbitals]. A message is a static point in the dynamics created by the constant phase relationship of two processes which
[page 59]
are the inverse of one another, so creating stasis by encoding and decoding the same message, doing and undoing = doing nothing, ie being fixed. Is this how we are to understand the role of complex numbers and Born's Rule? Another imperceptible (but nevertheless writable) step toward understanding.
The Bush years, like the sexual aberrations of the Church, are examples of the breakdown of civility.
Rewriting Aquinas seemed so simple back in 1968 (?) [1967] when I wrote How universal is the Universe?. Answer, the Universe is as universal as God, it is everything. How can we say this? Why not. What does need explanation is how the idea that God and the Universe becasme separated as master and slave, where we mean slave in the cybernetic sense, an agent under the total control of a master, a bulldozer, for instance. Cars are also slaves, but more likely to get out of control. Nearly fifty years later I am still working on the idea, trying to show that quantum mechanics is a universal computer and that the Universe is a massively parallel system generated as a tree of processes rooted in the initial singularity.
Creation and P-NP - the final section. P versus NP problem - Wikipedia
A 'simple' deterministic computer cannot do two things at once, we we enable single processors to serve multiple users by time division multiplexing, and this is how the Universe proceeds, multiplexing its energy into more and more entropy.
[page 60]
Computation is determinate but communication introduces indeterminacy by injecting new information into determinate processes, changing their course while nevertheless leaving them determinate, eg computer stops and asks a question, the answer (eg a keystroke) sets it off on a new process.
The question an agent asks, what do you want me to do next? For me, reflecting on myself, the question is what will I do next? How do I make up my day in terms of a sequence of actions get up, make coffee, do dishes, get dressed etc etc.
Each new layer differentiates using the resources of the layer beneath it [ie it takes te lower layer as a differential equation and explores possible solutions (?)].
Each layer contains all the permutations of the layer beneath it, ie new layers are generated by permutation. The simpler the symbol, the more 'copies' of it are necessary. In a computer, the most repeated operations are not, and and or, occurring at high frequency in parallel, the machine stepping through states driven by the clock, which shows the observable fixed states and hides the physical transitions, which are a continuous passage from one state to another, on to off, occupied to unoccupied etc. The clock pulse must be longer than the time it takes the system to reach a fixed state.
Field theories imagine a vast superposition of fields at every point in spacetime representing dozens of fundamental particles, each field controlling the statistics of the creation and annihilation of the associated particles.
[page 61]
Tradeoffs in the Universe control the level of resolution, the first level being simply to divide the field in two, x and not-x, occupied and unoccupied (in a two state system like Feynman's ammonia. Feynman, pages 8-11 sqq
Saturday 23 March 2013
Symbol = meaningful (to a certain reader) unmeaningful (to others). Meningful = decodable, which means that reader shares writer's protocol, whether the writer may be me (here) or the physical layer of the Universe.
Normal distribution - WikipediaContinuous functions whose value is between 0 and 1 may be interpreted as probabilities. These functions are generated by applying the law of large numbers to discrete events like the fall of a coin (normal distribution). We can only 'observe' the probability distribution by observing a large number of events which have discrete outcomes (like the throw of a die). So we may see continuous functions as abstract (defocussed) representation of the actual concrete events of the Universe and we then seek to know why we get these distributions. this we attribute the black body radiation curve to the propensity for bosons to seek the same state, (the 'inclusion' principle.) Normal distribution - Wikipedia, Pauli exclusion principle - Wikipedia
Why did I think of the above and write it out at this moment of my life? One of the puzzles of the contrast between discrete events and continuous functions is how continuous functions like addition and multiplication of amplitudes serve to 'predict' or model the outcome of discrete events, as in the two slit experiment, whose purpose is to show how where particles are to be observed when their motion
[page 62]
is constrained by to passages through an impassilel barrier.
Scale invariance for action is expressed by the equation action = {action}, ie a big action can be constructed seamlessly from small actions, that is with logical continuity.
The only continuous things in the Universe which, due to the large number of actions involved in any macroscopic event (like filling a cup with water) make such events look smooth to us, even though we know the water is a collection of discrete atoms exchanging discrete messages with one another and with their environment.
Quantum mechanics predicts traffic on various channels which are defined as fixed points (orbitals) of the motion.
So two important insights, logical continuity and the related fact that an action may be a set of actions whose energy is measured by the rate of repetition of the atomic (logically continuous, invisible) actions of magnitude h. Planck constant - Wikipedia
All these sentences are generated in the context of my attempt to write an article (essay) linking human intelligence (as expressed by the mathematics community) to quantum intelligence in the physical layer of the Universe. The fundamental idea is a symmetry with respect to complexity across all levels of a transfinite network which is expressed by the equation Action = {action}, where big Action is an ordered set of little actions and the numbers of Actions associated with a given set is card({action}).
page 63]
Of this large set of Actions, only a countable number make any sense that is avoid some sort of internal contradiction (?), ie crash, do not work, are selected out by the divine law 'Survival requires logical continuity'.
Sugar daddy scammers. Me might guess that hard timed prompt 'immoral' action, although we must admit that all is fair in the survival game.
Quantum mechanics runs on the coupling between phase and probability. Phase is the processing rate of a particle and particles with the same processing rates can enter into 'phase locked' relationships which predict the outcome of events, ie where we will observe photons in a monochromatic interference pattern.
Geometric continuity vs logical continuity. Logical continuity 'predates' the arrival of space-time and its geometric continuity, which is in effect a statistical artefact.
A Turing machine is a logical continuum that joins two mutually computable stats, ie an initial and a final state one of which can be computed form the other.
Quantum mechanics = {phase relationships, Born's rule (= dot product)}
What am I trying to do? Find an operator of the world which operates in a Hilbert space of transfinite dimension swapping around the occupiers of various states, a bit like chevcquers, chess etc. This operator is
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in some way invariant with respect to the Hilbert space and is physically resolved as a universal network of computers whose complexity emerges by a P-NP process. This comers at the end under creation.
Continua and continuous functions are logical constructed which serve outstendingly well o model certain features of the world. But from a physical point of view the observable world is a set of discrete events. It is quantized. Why?
Quantum mechanics relates the rate of an event to its specific nature in the spectrum of events. Perhaps the simplest manifestationof this relationship is the black body spectrum of a quantum harmonic oscillator [a web of protons communicating to one another trough an oscillator].
