VII Notes
2010
Notes
[Notebook: DB 69: Creation]
[page 50]
Sunday 30 May 2010
BONDAGE = DEBT (climbing out of a potential well).
The Universe expands (ie gains structure and measure) within the initial singularity. We may see this as parallel to Newton's insight that absolute space and time are established by God.
Einstein in Paid page 178: '. . . if there exists just one single object that falls in a gravitational field in a way different from all the others, then with its help the observer could realize he is in a gravitational field and falling in it. If such an object does not exist, however -- as experience has shown with great accuracy -- then the observer lacks any objective means of perceiving himself as falling in a gravitational field.'
No information without marks. A perfect symmetry, like a whiteout, tells us nothing, Gravitation is unobservable in the absence of some other force that breaks the gravitational symmetry, like the electromagnetic forces pressing on my bottom as I sit here.
Special relativity is local (inertial and we might imagine an epoch in the evolution of the Universe when it was the only structure, or more specifically, that it emerged
[page 51]
at a particular epoch.
We imagine the empty set mapping onto itself. One way. Similarly a set with one element is equivalent to a set with 0 elements. There are two ways for a set of two elements, p and not-p to map onto itself. But what is stationary then? The set. Time to read Jech. The two elements of the set are the fixed points in the correspondences ab and ba. In every case we see that the fixed points are the alphabet, the letters of any sequence the source may emit ababa . . . .
The fixed point theorem is the key idea. We expand it with the noetic network. The constraint is that all the outputs of the universal source are consistent, that is orthogonal, none conflicting with any other.
The beauty of mathematics is that being formal, we can write it down on paper and the evidence is there before our eyes and we can see how it fits together to male a process, ie the proof of a proposition of 'A killed B'. There is no need in mathematica (or at least some formal mathematicians say sow) for a laboratory outside the printed page to collect evidence for mathematical propositions, true sentences. It is a castle of true sentences in the air (on the page, in the imagination of readers and writers).
Dealing with God occurs at many levels, physics, engineering, chemistry, biology, ecology. The most complex and uncertain layer from our point of view is dealing with each other in the human and higher social layers, The breakdowns in the political layers that lead to war are the most devastating of all and undo much of our good work at lower levels like
[page 52]
agriculture and architecture. The most difficult problem is to deal with sovereign powers with a tendency to violence like Nazi Germany, North Korea and many others at all scales. The best way is to prevent people and organizations getting the power in the first pl;ace, but given the fluctuations in reality this is not easy. Most of the sovereign powers that do violence to people claim to be acting with authority from, some invisible God of their own, so natural religion, seeing the Universe as divine (so there are no secret Gods) seems a step in the right direction.
The only property of the initial singularity (= God) is consistency. Wherever local inconsistency arises in the Universe it is destroyed by motion = creation and annihilation.
Special relativity - velocity - rate of change of memory (position)
general relativity - acceleration - rate of change of rate of change . . . .
General relativity is based on a field of local inertial frames, and so we feel that the inertail frames are the alphabet of the gravitating Universe. [An] inertial frame, like an isolated quantum system is in principle unobservable because quantum mechanics says to observe it is to break its inertiality.
Sop what does the velocity of light mean in a system that has no space, that is no memory? Ie in an isolated quantum / inertial system?
Gardner, Skirt page 107: 'I hadn't thought of it from that angle, . . . ." A very Hilbert space thing to say, since all the information in a normalized space is encoded in the angle between vectors. Any two vectors define a
[page 53]
plane and an angle in that plane.
Formalism has no motion, no dynamics, unless it is represented by some living physical system like an atom or a brain. We can imagine formalism being brought to life by reality when we study it to gain insight into reality.
Monday 31 May 2010
Einstein's general relativity is a continuous approximation to a pixellated reality.
We tend to see the form as the driver of the action, as the sight of a potential mate excites passion, but we can also see the forms as stationary points created by the action, so in a sense it is the passion that drives the forms of mating. Given the recursive nature of almost all process, the time ordering for form-action-form is blurred by repetition, so after thousands of generations of human reproduction it is just as true to say that we fall in love with visions (ie visions create love) as to say that love creates vision.
So we look for a digital communication based explanation for the general relativistic communication based on the notion that bonding and high bandwidth communication are equivalent to attraction. So how does this attraction become so strong that we get a black hole? This idea, which is quite old with me is boosted by recent ideas that gravitation is an entropic force. Erik P Verlinde
QWuantum mechanics gioves us two things: first it defines stationary states very precisely, amnd secon dly it enables is to compute the probnability of transition between these states of fixed action or
[page 54]
angular momentum as a function of their energy.
Pais page 195: '[Einstein's] problem was and remained to find a way to give meaning to simultaneity for the case of a uniformly accelerated system.' Can this mean a way to see them as synchronous, ie one system?
We can measure fore with a spring, that it by the deformation of solid state structures which (if linear, or even if not) transform a force to a distance, ie a change of stte of memory.
How does gravity relate to conservation of eenrgy? It sees only energy and proves one way of moving energy from one place to another, ie changing local rates of action (?). Redshift. It is the dialogue between gravitational potential energy and kinetic energy that is revealed ()'spoken') by the classical pendulum.
Restless, and it is windy.
Pais 198: 'the velocity of light is no longer a constant in the presence of gravitational fields.' ie gravitational fields change some processing rate, that is, some energy. So we begin to think of gravity and processing rate and wonder if gravitation is not the formalism that is created the space-time / momentum-energy.
Gravitation couples to the frequency / energy of photons (and everything else). This coupling in some way defines space-time as the habitat of photons, but it is yet only a degenerate spacetime since the photons only move on null geodesics and 'experience' no time or distance in themselves, ie no velocity, they sit in their own rest frame (which is inaccessible to us like an isolated quantum system).
[page 56]
The addition of space, time, energy and momentum to photons is a feature of a higher layer using the ur-photons as subroutines.
Are there photons in the initial singularity?
Pais page 198: "'Superficially seen [this equation ν1 = ν2(1 + Φ/c2)] seems to state something absurd. If light is steadily transmitted from S2 to S1 then how can a different number of periods per second arrive at S1 than were emitted in S2? The answer is simple, however. The apparent trouble lay not with the number of periods, but with the second: one must examine with the greatest care what one means by the rate of clocks in an inhomogeneous gravitational field.'"
Tuesday 1 June 2010
Pais: 'Toward the end of [Einstein's] stay in Prague, the technical concept of general covariance took shape ion his mind and the fundamental role of thje metric tensor as the carrier of gravitation became clear.' page 228.
gμν has ten components, 1 + 2 + 3+ 4.
Linear vs general covariance, ie independence from coordinates, ie direct relationships to one another. The function of the connection coefficients in the covariant derivative is to 'correct' for the change in coordinates. What we are looking for is a digital communication network whose continuous limit is the Einstein equation.
Einstein took on 4D space n one leap. Can we make the journey easier by going 0, 1, 2, 3, 4 dimensions. And is
[page 57]
we can explain the generation of dimensions in this way, can we also explain the degeneration of dimensions in a black hole, all of which are surrounded by an horizon? We need to bring quantum theory into this and somehow associate space time dimensions with dimensions in Hilbert space for spatial dimensions 1 to 3, via perhaps concrete 'wiring diagrams' and the concept that general (uncrossed) wiring is only possible in 3D or more.
Two communicating points on a line are attracted by communication (ie have (or generate)) symmetries. However if they become completely symmetrical we have not two points but one.
We might interpret general covariance as the stipulation that every point in space can communicate with every other point, none being hidden from another by crossed wires is (as in quantum theory) all communications between two points are private.
What does the equivalence principle (gravitation is formally indistinguishable from acceleration) mean? We might say in general that communication = force, gravitation = force, so gravitation and communication have force in common, suggesting that gravitation is a universal weak channel of communication (correlation) that represents the 'entanglement by common descent' that characterizes a creative Universe.
Pais page 232: '. . . Einstein correctly saw from the beginning that the incorporation of gravity meant the end of the unconditional validity of special relativity.' One cannot observe a system without becoming one with it and changing it., so as soon as we look at an inertial frame we accelerate is so destroying 'inertiality'. Similar problem in quantum mechanics. In both cases we represent the isolated system by a deterministic Turing machine (because why not, we can't see it anyway)
[page 58] and communication as the exchange of messages between these machines involving a change in the state of both. So we can interprt quantum mechanics as th theory of communication between two computers.
Turing machine = formal; computer = common language,
Einstein's theory is formulated in the continuous limit; in a real network processors operate independently between communication interrupts.
The '400' (anywhere) have a way of life characterized by wealth and power and accepted ideas about what one should do with such wealth and power.
Pais page 256: 'The portrait of Einstein as a scientist in 1913 is altogether remarkable. He has no compelling results to show for his efforts. He sees the limitations of what he has done so far. He is supremely confident of his vision. And he stands all alone. It seems to me that Einstein's intellectual strength, courage and tenacity to continue under such circumstances and then to be supremely vindicated a few years later do much to explain how during his later years he would fearlessly occupy once again a similar position, in his solitary quest for an interpretation of quantum mechanics which was totally at variance with commonly held views.'
[page 59]
Having built a huge mathematical structure we now cut it down to size with Cantor symmetry and the relativity of transfinity.
Planck in Pais page 242: '. . . natural laws always imply certain restrictions in infinitely many possibilities.'
General covariance is made necessary by the perceived need to introduce a coordinate system against which to measure the motions of the Universe.
We can never predict when the answer is coming. The world, like my consciousness, is a series of local events (like conceiving this sentence) which are loosely joined together by my history and the fact that it is my consciousness. In the daydreaming mode, the sequence of conscious events is not predictable, and even which we try to stay focussed on some task, stray thoughts are still common and may be powerful enough to distract us from the job in hand.
Pais page 243: Einstein: 'we have no means of distinguishing a centrifugal field from a gravitational field, [and therefore] we may consider the centrifugal field as a gravitational field.'
Whose gradient is away from rather than toward some fixed point, making fixed orbit [im]possible.
'According to our theory, there do not exist independent (selbständige) qualities of space.' These enter later. Is gravitation, like inertial spaces, still a distance free system with only null geodesics?
Pais page 244: The energy momentum tensor is the source of the metric tensor.
[page 60]
Pais page 250: Einstein: 'a new version of general reality "based on the postulate of covariance with
Pais page 266: '. . . general relativity consists of an intricate web of new kinematics and new dynamics. Its kinetic novelty was perfectly transparent from the start: Lorentz invariance is deprived of its global validity but continues to play a central role as a local invariant. However the new dynamics contained in the equations of general relativity has not been fully fathomed either during Einstein's life or in the quarter of a century following his death.'
The space of solutions to a differential equation is in effect all the structures that can be built using the differential equation as a building [block].
blocks of substance = bricks
blocks of meaning = functions (mappings).
'I loe you' maps a Universe of feeling into three words because they point o similat states in all of us excepts perhaps where the power to love is disabled.
Pais page 273: Einstein: 'the idea of general relativity "is a purely formal view and not a definite hypothesis about nature."'
Wednesday 2 June 2010
Pais page 320: Einstein: 'I believe less than ever in the essentially statistical nature of events and have decided to use the little energy still given to me in ways that are
[page 61]
Independent of the current bustle.
This is to overlook the essence of symmetry which makes certain events 9like the fall of a die) equiprobable rather than determined.
Thursday 3 June 2010
Friday 4 June 2010
Saturday 5 June 2010
Pais page 343: Einstein: '"Above us stands the marble smile of implacable Nature which has endowed us more with longing than intellectual capacity". Thus romantically , began Einstein's adventures with general connections [communications? Turing machines], adventures that were to continue until his final hours.'
