vol VII: Notes
2015
Notes
[Sunday 20 September 2015 - Saturday 26 September 2015]
[Notebook: DB 79: Galileo Wins]
[page 87]
Sunday 20 September 2015
There is no initial coupling between quantum of action and measure of energy, as we see in photons, one quantum, unlimited energy. This is a boson trait, no limit to amount of energy in one 'place'.
Why is dot product (and equivalent integration) so prevalent in physics? More generally, why vector space, linear algebra and matrix representation of groups? [does nature do all these calculations, or are they the result for us of unnecessary differentiations?].
[page 88]
Continuum describes things with no memory: every moment is algorithmically coupled to the moment before, but we need an algorithm to decide the nature of the coupling. In quantum mechanics the coupling are addition and multiplication of complex numbers, and the algorithm is the circle group. We can describe an algorithm (function) by lists of its inputs and corresponding outputs, such lists we imagine being addressed by the real numbers, ie continuous functions. Path integral formulation - Wikipedia
How do we apply path integral method to transfinite numbers? Consider the mappings of the natural numbers to themselves, which are stationary = computable = in phase =
We are animating the formal network with energy and consider that the observable energy contents of different links are determined by algorithms - energy = processing rate.
Religion is opinion - opinari [opinor]
Doxa - Wiki. Polanyi, The Tacit Dimension Doxa - Wikipedia, Polanyi
I was brought up to believe an amazing story and swallowed the practical consequences of it whole to save my soul from my body. This is the price I paid for false ideas, but it has driven me to a correction.
General logical covariance: the rules of logic are the same in every frame of reference. In particular, computability and non-computability are defined in the same way in every frame, ie every representation of mathematics = applied logic.
We examine the space of logical operators with to inputs: 2 to 1 can be deterministic, 1 to 2 can be deterministic (fanout)
[page 89]
or random, incomputable. Fan-out - Wikipedia
I am slowly building the structure in which I can say what I want to say. Like Father and Son, a universe of two symbols p and not-p oscillating randomly between these states, ie energy recursion without any definite period, the random ticking clock which gradually get channelled into a discrete spectrum of clock rates. Trinity - Wikipedia
Run out of steam but optimistic. The notion that the universe is rooted in divine simplicity appeals to my simplistic mind.
Monday 21 September 2015
phys10: My ansatz is that the intelligent universe very soon discovered that digitization gave an enormous improvement in error control over analogue methods so there was an explosion of structuring arising from the application of Shannon's ideas. Ansatz - Wikipedia, Claude E Shannon
Tuesday 22 September 2015
Wednesday 23 September 2015
Spin: adds algebraically with real numbers Spin (physics) - Wikipedia
Phase: adds algebraically with complex numbers. Phase (waves) - Wikipedia
Thursday 24 September 2015
'not' is a way back out of unwanted situations.
If we assume that ℵ0 = 2, ℵ1 = 2ℵ0 , then we have the sequence 2, 22, 24. 216, 264k, etc. Maybe 264k is the number of fundamental particles in the universe, ie the number of point particles in 4-space and then the number of complex particles grows transfinitely from there. A
[page 90]
point particle represents the complexity of the space it occupies.
Friday 25 September 2015
The idea that energy is the product of the not operation does not specify the frequency of the operation, so that from the point of view of the more developed world the actual frequency and energy of the universe could have any value, and we could say that all values from zero to ℵ0 are equiprobable, ie there is a symmetry here which will be broken by the advent of higher layers in the universe. From the point of view of computation, the actual frequency of the clock is irrelevant except that it influences the frequency of complete computations via a factor introduced by the complexity of the computation.
Perhaps the next step relevant to the understanding of gravitation is to understand the bifurcation of energy into potential and kinetic ie the introduction of memory, space and fixed points into the system with the algebraic property that the sum of potential and kinetic energy is zero. Maybe we can understand them in terms of the 1, -1 metric and the boson/fermion distinction, ie the emergence of space (fermions) from energy (bosons). From the network point pf view, bosons are the messengers and fermions are the nodes.
The idea documented on 21/9 gives a bit more credibility to the logical model of the universe and seems to suggest that we should now consider operations that involve two inputs and one or two outputs. The simultaneous existence of two fixed points adds to the complexity of not which only requires the sequential existence of two states. One might see bosons as energy, fermions as form by analogy with Aristotle. From the metaphysical point of view, matter and form may be seen as the same duality as kinetic and potential energy.
Are we getting anywhere here, or are we just playing with words, looking for
[page 91]
a physical model of the mathematica notion of the fixed points in the divine dynamics. The introduction of a fixed point introduces a duality of fixed/not fixed [potential/kinetic]. From a mathematical point of view, the existence of a fixed point is related to the existence of a boundary on the set of interest., and we may think of the fixed point as an image of the boundary. We may think of a boundary as a symmetry, ie as a nothing that surrounds the something of the set [from the logical point of view, the boundary lies between consistent and non-consistent, ie mathematically non-existent].
Quantum mechanics is reversible, ie not creative, so we need second order systems like gravitation to create the world.
Saturday 26 September 2015
Dream: My daughter has a newborn, and I have been reading Streater and Wightman in bed. Chided by a police person [for] not strapping the baby into the capsule properly. Plead that at this stage the baby is only 2D, so cannot strap him in properly. Realize that the Lorentz transformation applies in 1, -1 space, but what about the PCT symmetry and the spin statistics theorem at this level of complexity. Streater & Wightman: PCT, Spin, Statistics and All That
No gravitational waves? Lasky. Paul Lasky: Where are the missing gravitational waves?
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Further reading
Books
Click on the "Amazon" link below each book entry to see details of a book (and possibly buy it!)
Polanyi, Michael, and Amaryta Sen (foreword), The Tacit Dimension, University Of Chicago Press 2009 Amazon product description: '“I shall reconsider human knowledge by starting from the fact that we can know more than we can tell,” writes Michael Polanyi, whose work paved the way for the likes of Thomas Kuhn and Karl Popper. The Tacit Dimension argues that tacit knowledge—tradition, inherited practices, implied values, and prejudgments—is a crucial part of scientific knowledge. Back in print for a new generation of students and scholars, this volume challenges the assumption that skepticism, rather than established belief, lies at the heart of scientific discovery.'
Amazon
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Streater, Raymond F, and Arthur S Wightman, PCT, Spin, Statistics and All That, Princeton University Press 2000 Amazon product description: 'PCT, Spin and Statistics, and All That is the classic summary of and introduction to the achievements of Axiomatic Quantum Field Theory. This theory gives precise mathematical responses to questions like: What is a quantized field? What are the physically indispensable attributes of a quantized field? Furthermore, Axiomatic Field Theory shows that a number of physically important predictions of quantum field theory are mathematical consequences of the axioms. Here Raymond Streater and Arthur Wightman treat only results that can be rigorously proved, and these are presented in an elegant style that makes them available to a broad range of physics and theoretical mathematics.'
Amazon
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Papers
| Salart, Daniel, et al, "Testing the speed of 'spooky action at a distance'", Nature, 454, , 14 August 2008, page 861-864. 'Correlations are generally described by one of two mechanisms: either a first event influences a second one by sending information encoded in bosons or other physical carriers, or the correlated events have some common causes in their shared history. Quantum physics predicts an entirely different kind of cause for some correlations, named entanglement. This reveals itself in correlations that violate Bell inequalities (implying that they cannot be described by common causes) between space-like separated events (implying that they cannot be described by classical communication). Many Bell tests have been performed, and loopholes related to locality and detection have been closed in several independent experiments. It is still possible that a first event could influence a second, but the speed of this hypothetical influence (Einstein's 'spooky action at a distance') would need to be defined in some universal privileged reference frame and be greater than the speed of light. Here we put stringent experimental bounds on the speed of all such hypothetical influences. We performed a Bell test over more than 24 hours between two villages separated by 18 km and approximately east–west oriented, with the source located precisely in the middle. We continuously observed two-photon interferences well above the Bell inequality threshold. Taking advantage of the Earth's rotation, the configuration of our experiment allowed us to determine, for any hypothetically privileged frame, a lower bound for the speed of the influence. For example, if such a privileged reference frame exists and is such that the Earth's speed in this frame is less than 10-3 times that of the speed of light, then the speed of the influence would have to exceed that of light by at least four orders of magnitude.. back |
Links
| Amnesty International , Annual Report 2014/15: Saudi Arabia, 'The government severely restricted freedoms of expression, association and assembly, and cracked down on dissent, arresting and imprisoning critics, including human rights defenders. Many received unfair trials before courts that failed to respect due process, including a special anti-terrorism court that handed down death sentences. New legislation effectively equated criticism of the government and other peaceful activities with terrorism. The authorities clamped down on online activism and intimidated activists and family members who reported human rights violations.' back |
| Ansatz - Wikipedia, Ansatz - Wikipedia, the free encyclopedia, 'In physics and mathematics, an ansatz (German: initial placement of a tool at a work piece) is an educated guess that is verified later by its results.' back |
| Bruce Duncan, Pope works to rconcile Catholic taching, population pressures and sustainable development, 'On his first visit to the United States, as well as addressing a joint session of Congress, Pope Francis will speak at the United Nations General Assembly on September 25. There he will highlight concerns in his encyclical, Laudato Si’: On Care for Our Common Home, especially the issues of poverty, equity, sustainability, social inclusion and peace.
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| Claude E Shannon, A Mathematical Theory of Communication, 'The fundamental problem of communication is that of reproducing at one point either exactly or approximately a message selected at another point. Frequently the messages have meaning; that is they refer to or are correlated according to some system with certain physical or conceptual entities. These semantic aspects of communication are irrelevant to the engineering problem. The significant aspect is that the actual message is one selected from a set of possible messages.' back |
| Doxa - Wikipedia, Doxa - Wikipedia, the free dictionary, 'Doxa (from ancient Greek δόξα, "glory", "praise" from δοκεῖν dokein, "to appear", "to seem", "to think" and "to accept" [1]) is a Greek word meaning common belief or popular opinion. Used by the Greek rhetoricians as a tool for the formation of argument by using common opinions, the doxa was often manipulated by sophists to persuade the people, leading to Plato's condemnation of Athenian democracy.' back |
| Fan-out - Wikipedia, Fan-out - Wikipedia, the free encyclopedia, 'In digital electronics, the fan-out of a logic gate output is the number of gate inputs it can feed or connect to.' back |
| Glenn Greenwald, U.S. State Department "Welcomes" News tht Saudi Arabia Will Head U.N. Human Right Council, 'Last week’s announcement that Saudi Arabia — easily one of the world’s most brutally repressive regimes — was chosen to head a U.N. Human Rights Council panel provoked indignation around the world. That reaction was triggered for obvious reasons. Not only has Saudi Arabia executed more than 100 people already this year, mostly by beheading (a rate of 1 execution every two days), and not only is it serially flogging dissidents, but it is reaching new levels of tyrannical depravity as it is about to behead and then crucify the 21-year-old son of a prominent regime critic, Ali Mohammed al-Nimr, who was convicted at the age of 17 of engaging in demonstrations against the government.' back |
| Jonathan Freeland, Religion is like sex - it can seem absurd but it works, 'Surely this is one of the great surprises of our age. Whatever else the seers of the past, the Aldous Huxleys, Jules Vernes and HG Wellses, imagined for the 21st century, it wasn’t this. Few of those gazers into the human future imagined that in 2015 we would still be in thrall to the stories we’d told one another for two millennia. And yet here we are. Whether it’s blood spilled in the name of Shia v Sunni in Iraq and Syria or #PopetakesManhattan, a recurring theme of our era is the persistence of the ancient faiths.' back |
| New York Times Editorial Board, The Pope and the Birth Control Ban, 'But the pope has not called for any actual changes to the church’s policy on birth control. The church prohibits contraception, though it does allow natural family planning, in which couples may avoid intercourse when a woman is most fertile. The pope reiterated his support for this prohibition in a speech in Manila earlier this year, arguing that “a lack of openness to life” threatens the family. Ordinary Catholics worldwide feel differently, and the pope should give them a forum to share their experiences.' back |
| Nicholas Kristof, The (Fake) Meat Revolution, '“The true challenge will be to recreate more complex pieces of meat that are the pinnacle of the meat industry,” he added. “I believe that plausible, good-tasting steaks and pork loins are only a matter of time.”
Puglisi is advising Beyond Meat, a start-up that is a leader in the field, with investments from Bill Gates and both Biz Stone and Ev Williams of Twitter fame, not to mention Kleiner Perkins Caufield & Byers, the venture capital firm that backed Google and Amazon. Beyond Meat says its sales are doubling each year.' back |
| opinor, opinor - Wiktionary, 'opīnor (present infinitive opīnārī, perfect active opīnātus sum); first conjugation, deponent
I suppose, imagine, deem, think or judge'
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| Path integral formulation - Wikipedia, Path integral formulation - Wikipedia, the free encyclopedia, 'The path integral formulation of quantum mechanics is a description of quantum theory which generalizes the action principle of classical mechanics. It replaces the classical notion of a single, unique trajectory for a system with a sum, or functional integral, over an infinity of possible trajectories to compute a quantum amplitude. . . . This formulation has proved crucial to the subsequent development of theoretical physics, since it provided the basis for the grand synthesis of the 1970s which unified quantum field theory with statistical mechanics. . . . ' back |
| Paul Krugman, Fantasies and Fictions at G.O.P. Debate, '. . . modern G.O.P. economic discourse is completely dominated by an economic doctrine — the sovereign importance of low taxes on the rich — that has failed completely and utterly in practice over the past generation. . . .
Think about it. Bill Clinton’s tax hike was followed by a huge economic boom, the George W. Bush tax cuts by a weak recovery that ended in financial collapse. The tax increase of 2013 and the coming of Obamacare in 2014 were associated with the best job growth since the 1990s. Jerry Brown’s tax-raising, environmentally conscious California is growing fast; Sam Brownback’s tax- and spending-slashing Kansas isn’t.
Yet the hold of this failed dogma on Republican politics is stronger than ever, with no skeptics allowed.' back |
| Phase (waves) - Wikipedia, Phase (waves) - Wikipedia, the fre encyclopedia, 'The phase of an oscillation or wave is the fraction of a complete cycle corresponding to an offset in the displacement from a specified reference point at time t = 0. Phase is a frequency domain or Fourier transform domain concept, and as such, can be readily understood in terms of simple harmonic motion. The same concept applies to wave motion, viewed either at a point in space over an interval of time or across an interval of space at a moment in time. Simple harmonic motion is a displacement that varies cyclically' back |
| Robert Mickens, Letter from Rome: With the Pope in Washington, 'The iron hand within Francis' velvet glove is well hidden by millennia of spin but he remains, nevertheless, the most absolute of absolute monarchs, as a quick look at Canon 333 of the Code states.
He has done well to draw attention to poverty and environmental damage, but we must remember that he represents an organization that maintains that women are second class citizens, that chastity is better than sex, that modern methods of fertility control are evil, that we are morally defective origial sinners, that life Earth is just a temporary testing ground on the way to heaven (or hell), that death is not real, and that ancient fiction is to be prefered to scientific observation.
At its core, for all its popularity, the Catholic Church is a rotten and dangerous amalgam of absolute monarchy and denial of reality. All the dictators on Earth owe a debt to Moses for his invention of the divine right of kings, taken up with such fervour by the Catholics who celebrate Jesus of Nazareth as the 'King of Kings' and the Pope as God's voice on Earth.'
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Spin (physics) - Wikipedia, Spin (physics) - Wikipedia, the free encyclopedia, 'In quantum mechanics and particle physics, spin is an intrinsic form of angular momentum carried by elementary particles, composite particles (hadrons), and atomic nuclei.
Spin is one of two types of angular momentum in quantum mechanics, the other being orbital angular momentum. Orbital angular momentum is the quantum-mechanical counterpart to the classical notion of angular momentum: it arises when a particle executes a rotating or twisting trajectory (such as when an electron orbits a nucleus). The existence of spin angular momentum is inferred from experiments, such as the Stern–Gerlach experiment, in which particles are observed to possess angular momentum that cannot be accounted for by orbital angular momentum alone.' back |
| Stever Maltby, Explainer: how does the immune system learn, 'The traditional understanding of the immune system was that innate immune cells couldn’t learn; that they dealt with each invader the same way every time. But new evidence suggests innate responses are changed by previous infections or vaccination, through “innate learning” or “trained immunity”.' back |
| Trinity - Wikipedia, Trinity - Wikipedia, the free encyclopedia, 'The Christian doctrine of the Trinity (from Latin trinitas "triad", from trinus "threefold") defines God as three consubstantial persons,[2] expressions, or hypostases: the Father, the Son (Jesus Christ), and the Holy Spirit; "one God in three persons". The three persons are distinct, yet are one "substance, essence or nature". In this context, a "nature" is what one is, while a "person" is who one is.' back |
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