vol VII: Notes
2013
Notes
[Notebook: DB 76 Liberation]
[Sunday 13 October 2013 - Saturday 19 October 2013]
[page 168]
Sunday 13 October 2013
The bottom line
1. There is no information in a continuum
2. The only computation that quantum mechanics requires is the addition and multiplication of complex numbers (Feynman, Lectures. QED), ie with 2D vectors with special rules. [and here only with integral coefficients in the complex numbers?].
In real numbers multiplication can be implemented by repeated addition. This same rule holds for the multiplication of a complex number by a real, ie 2z = z + z. Multiplication of complex numbers does not work like this because i x i = -1, a statement not realizable by addition.
Complex numbers are 'modular' mod 2π when expressed in Euler's equation z = |z| arg z, eiθ = cos θ - i sin θ. We understand this by a series like ex = 1 + x + x2/2! + x3/3! etc.
This is a sort of perturbation series similar to the orders of Feynman diagrams.
Energy equation is vector space version (ie expansion) of Einstein equation E = hf. Its solutions form an infinite spectrum of 'frequencies', which are effectively just real numbers which we compute to be the zero's (fixed points) of polynomials representing the eigenfunctions (fixed points) of the process (operator) we are studying (observing).
So we come a big circle: there is no information in a continuum is the foundation of Lonergan's claim for
[page 169]
empirical residue, but there is no empirical residue because it is not observable (being an information free continuum).
Monday 14 October 2013
Like the dog that chases cars, I am a bit apprehensive about what will happen if I catch one. My crusade against the church is beginning to seem so well founded that they will eventually have to take notice and react, and their reaction may be unpleasant. I am prepared to oppose the Church because I know it is out of the murdering phase of thought control and reacts merely by withdrawing a living from those it judges to be heretical.
The first thing a heretic needs is a new belief outside the orthodox box, the orthobox. Then the heresy needs promotion.
All we have to do is show that the digital approach to the world gives the same results as e harmonic approach. So we want to wire up a Hilbert space with a network of computers.
Does quantum mechanics (including gravitation) describe the zero entropy network which has energy but no information? [but energy is a count/frequency which carries some information] This is gravitation?
Quantum mechanics describes the interaction of a network of computers with a potential continuum of frequencies which interact in proportion to relative phase. The countable spectrum of frequencies is the alphabet generated by quantum mechanics from which the rest of the Universe is built.
Gravitation / zero entropy / general covariance / permutation
[page 170]
The simplest computer is a two state harmonic oscillator, an undifferentiated clock. The action [associated with] clock pulses is determined by memory, if any, that is space. The length of a memory being proportional to the distance travelled by a photon travelling in space (existing in photon space).
The delusion of digitized continuity. [epsilon/delta arguments: (ε, δ)-definition of limit - Wikipedia]
It is assumed without proof that we can differentiate action, ie take it to the mathematical limit without heeding the finite size of Planck's constant, which represents a turn of phase [2π radians] in quantum mechanics, one clock period of computation. What happens in a clock period is a function of the state of the computer at the beginning of the period.
Instead of pixellating in infinitesimals, we pixellate in units of ℏ.
Tuesday 15 October 2013
At the gravitational level the Universe is fully decoherent because the only fixed point is the initial singularity that does not have the variety to constrain frequencies/energies to 'lines'.
Evolution is intelligent design.
The Christian God, which is both structureless and the repository of an infinity of information, is a self contradictory impossibility, since a continuum without marks can carry no information. Nevertheless, modern physics, with its unobservable wave function embodies a very similar idea and because it is such a global falsehood (ie big lie) nobody questions it.
[page 171]
Calculus works because continuous functions have no features that would cause an error in the derivative process, ie no discontinuities.
Quantum mechanics is an implementation of complex linear algebra based on two symbols with the properties 1 x 1 = 1, i x i = -1. All we need is a machine to do this and we are done: 12 + i2 = 0.
Wednesday 16 October 2013
SYMMETRY = CONTINUUM = NOP (energy without meaning)
The elite rule by obfuscation (reducing resolution) going against the grain of the Universe which seems to maximize communication, that is entropy. Their idea is to reduce the entropy of the whole population to that of the ruling class so that the ruling class is in a position to control the masses insofar as the principle of requisite variety is concerned. Variety (cybernetics) - Wikipedia
. . .
Mathematics makes explicit those things which the ruling class would rather deny, ie maximization of entropy, which means the elimination of an entropy limiting ruling class.
The ruling class, poncing around the planet telling everyone what to do.
The Papal Letters, copies to Sacred Congregation for Doctrine of the Faith and Papal Academy of Sciences.
[page 172]
So we find the ruling class claiming possession of mysteries which are beyond the ken of ordinary mortals. So with the Christian model of God, an inconsistent and therefore non-existent set of properties attributed to the Supreme Being, absolutely simple and omniscient, a contradiction upon close examination simply because the representation of information requires a discrete symbol whose existence is denied by the attribuite of absolute simplicity.
There is an answer to this problem now available via fixed point theory, mathematics in a divine context, ie the fixed points in a transfinite formal space.
The simplest computer is a clock, ie an harmonic oscillator whose structure is determined by the properties (ie statistics) of bosons.
. . .
So the elite deny empirical information because it does not fit in with their desired model, themselves in control, entropy minimizing rather than maximizing entropy. Reality-based community - Wikipedia
Maximum entropy = free society = perfect human symmetry, as opposed to a class of bosses and a class of slaves.
So thee is a fundamental error in the claim that one person, the Pope, can speak authoritatively for everybody. In fact, like everybody else, he can speak only for himself from his own experience, just like all the rest of us. His exalted position is a theological monotheist delusion that has bound the human spirit for quite a long time now. We see it in monarchs, despots and dictators everywhere.
[page 173]
In spacetime (locality) entropy = local bandwidth, a static quantity that places no constraint on the messages transmitted, so a good communication channel does not distort any of the possible messages.
The maximum bandwidth is determined by the rates of encoding and decoding messages, which is limited by the uncertainty principle which pixellates the world at the scale h.
You can never really tell with girls (boys), you just have to take your chances, a very quantum thing operatong at our scale. Why won't the chainsaw start? It has petrol and spark,but not a peep out of it. Cleaned plug etc. Why? I'll just go and get a new one, they're so cheap. Why won't she fall for me? Same thing. An inhibition or error, a break in the cycle that makes things go.
One's personal performance is also uncertain. Who knows that we are going to hear or say next, or at least some time in the future. As much as we would like to steer a definite course, we are at the mercy of events.
Mysticism is bunk? Ecstasy is not? It is nice to dream but most people have to deal with a real world which introduces a lot of detail into the mystical unity. We se see unity where we can see no differentiation, continuity.
The fundamental elite scam is coming to an end after ruling humanity for (say) 5000 years since kings and slaves became commonplace (perhaps long before this). So we may see a new step in the entropy or bandwidth of humanity.
[page 174]
Verification
Matrix mechanics is network mechanics. Matrix mechanics - Wikipedia
Mystery: the invisibility theorem. You cannot give a detailed description of what you are doing at the same time as you are doing it, and the same for any machine.
Denial. The mystics promote self-denial as a path to enlightenment, but there seems to be no reason to believe that denying oneself experience will lead to a better knowledge of the divinity present in every human experience, and in fact every event in the Universe.
Agatha, Poirot, Clocks '"Everything makes sense. Everything." ' Christie
Correlations travel faster than light speed
Thursday 17 October 2013
Now thatI am comfortable with interpreting the energy equation via matrix mechanics as network mechanics, the next two targets are the Klein-Gordon equation and the Dirac equation. We might guess that quantum mechanics deals with entities with one dimension in spacetime (Zee), Klein-Gordon with two and Dirac with the whole four dimensions of spacetime. ASt the same time looking at the reason de three spatial dimensions, to avoid connected crossed wires.
The heuristic principle is that the world starts off zero dimensional (the classic omnino simplex God and then works through 1, 2, 4, $D spacetime being the hardware of atoms
[page 175]
molecules, plats, animals, etc.
Information is physical so network communications are equivalent to moving physical objects, not undetectable wavefunctions.
George Orwell: To see what is in front of one's nose needs a constant struggle. George Orwell
Friday 18 October 2013
The great debate between conservative and liberal is zeroed around the point of minimum = integral action. Creation requires error,that is a deviation from a previously determined process. So our politics is to a large degree concerned with trying to control the rate of evolution by the rate of deviation from established norms. What we are seeking is the optimum error (uncertainty) rate , ie the optimum size for the pixel, which the Universe has fixed at h, the universal equivalent of the number 1 and one starting point for mathematics, the other being 0, represented by the empty set ∅ a 1 with nothing in it, a unit with nothing in it, the atom of action.
Peter D, Hart: ' "The Republicans are not tone deaf, they are stone deaf"' '. Mark Murray Mark Murray
Dirac equation: Dirac equation - Wikipedia
Klauber: canonical quantization Robert D. Klauber
Transition amplitude from a tob is the output of quantum field theory.
Klauber: Surprisingly, the solutions to the relevant wave equations
[page 176]
in QFT are not states (not particles). In QFT, it turns out that these solutions are actually operators that create and destroy states. [create, bring out of the vacuum; destroy, put back into the vacuum]
From which operators we compute transition possibilities.
First quantization: particle; second quantization: field.
Poisson bracket Poisson bracket - Wikipedia
Poisson bracket - Wiki _ Poisson brackets are canonical invariantes, ie fixed points of the motion.
Moyal bracket Moyal bracket - Wikipedia
Which comes first, the space or the delay? Space - delay - memory. A memory has a trajectory that is invariant with respect to time, changing [or fixed?] with respect to space, ie outside time, symmetrical with respect to time.
All observable communication through space involves delay, so we must use relativistic expressions when we move through space as well as time.
Music is 1D because the velocity of sound in air is almost independent of frequency so phase is conserved on the was from source to sink (listener).
Natural units, ℏ, c, G, k. Make c =ℏ = 1 (dimensionless quantitites), and energy has dimension energy = mass = frequency.
[page 177]
Schroedinger picture: waves move, operators are constant
Heisenberg picture: waves constnt, operators are evolving.
Uncertainty principle = (Shannon) definitelness principle (iℏ = pixel size [pixel = 1 revolution of phase, 1 unit of process]),
4D differential geometry. Differential geometry - Wikipedia
Klauber chapter 3: Scalars: Spin 0 fields
spin 1/2: spinors - Dirac
spin 1: vectors - Proca (massless = Maxwell) Proca action - Wikipedia
Resolution of pain (localization in space and time) (error signal). Intensity of pain. Pain - Wikipedia
Politics: lowest common denominator, minimum resolution. Vote yes or no and count the votes to determine the majority toward which collective behaviour will be drawn by preponderance of numbers (maximum entropy).
Because of an historical point of view ['heat death'] entropy is frequently seen as a bad thing that grows spontaneously without cause. Perhaps this is not so that the Universe follows Cantor's strategy of using order to create cardinality as we say that a real number is represented by a countably infinite decimal. Heat death of the universe - Wikipedia
How do we implement Clifford (Dirac) algebra? Clifford algebra - Wikipedia
Future can only be made predictable by constraining it to the variety of the present.
Orthogonality = no crossed wires ==> 3D.
[178]
Saturday 19 October 2013
Grassman - vector space/algebra Exterior algebra - Wikipedia
Clifford
What we are suggesting is that the boundary between quantum and classical is an artefact of the misunderstanding of continuity, whose historical foundation is a misunderstanding of the nature of God.Algebra: Wiki 'Algebra can essentially be considered as doing computation similar to that of arithmetic with non-numerical mathematical objects.' Algebra - Wikipedia
Universe is a [embodied] computer network.
The hypothesis that the information density of the physical continuum is zero rather than infinite greatly simplifies our understanding of the physical world. At present we imagine an isolated quantum system as a continuous wav function evolving deterministically. Under our hypothesis this is true in the null sense, that the empty set is deterministic because there is only one of it. In this sense the continuum is totally unconstrained, ie from a fixed point point of view it is nothing.
Being as we experience it is the flow of messages, messages between myself and myself and between myself and my environment. The boundary between self and environment is not very clearly defined. My body is the environment of my mind. A self is a quasi=closed system. Dark matter is very selfish?
Zurek, Decoherence, Physics Today 10/1991 page 36. Zurek
Zurek page 36: 'Quantum mechanics works exceedingly well in all practical applications. No example of a conflict between its predictions and experiment is known, . . . Yet well over a half a century after its inception, the debate about the relation of quantum mechanics to the familiar physical world continues.'The basic coupling mechanism is identical (or close) match in frequency.
page 36: 'The only "failure" of quantum theory is its inability to provide a natural framework that can accomodate our prejudices about the workings of the universe.
'Given almost any initial conditions the universe described by |φ> evolves into a state that simultaneously contains many alternatives never seen to coexist in our world.'
This is a mathematical artifact of misunderstanding of continuity.
'. . . at the root of our unease with quantum mechanics is he clash between the principle of superposition—the consequence of the linearity of equation 1—and the everyday classical reality in which the principle appears to be violated. [because it is a statistical principle, honoured in large numbers, violated in every instance.].
All is quantum: there is no classical! [ie observed 'classical' is quantum, birds, bees, quanta]
Always trying to squeeze understanding out of the unknown / invisible / symmetrical, ie trying to break symmetries by constructing things. This piece of would could be anywhere [symmetry] but now it is fixed here.
Does the invisibility theorem apply to complex numbers [one gets from 1 to -1 viai, -i.]
[page 180]
Heilman, Haaretz, comment: It all depends on what you mean by religion. The old religions are dying, rightly so. The new and growing religion is an expression of the equal, free fair supportive and humane communities which are being developed in civil environments.' Samuel Heilman
the harmonic paradigm: a quantum of action is a cycle; 2π, 360° of phase.
