natural theology

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vol VII: Notes

2019

Notes

Sunday 25 August 2019 - Saturday 31 August 2019

[Notebook: DB 83: Physical Theology]

Sunday 25 August 2019

[page 311]

Monday 26 August 2019

By going to university I choose a certain line of input, mostly going back into the past, Rousseau, Kant, James, Hume, a little bit of Wittgenstein and Murdoch, but nothing very state of the art and all of these dealing with rather dated questions which philosophers would like to think are still relevant. To me, however, the global problems are theology and religion. The old religions are somewhat out of date and the new ones, like Pentacostalism and Evangelicism are pure bullshit. So I just plug along my road and begin rewriting my thesis to get closer to a clear and distinct exposition of what is wrong with theology and what has be be done about it — Green theology [scientific theology, evidence based].

[page 312]

Tuesday 27 August 2019

Notes from my phone:

Intelligence is a generic property of networks, as indicated by the central nervous system, and the same properties apply universally starting at the quantum level [since network communications bring contradictions into contact with one another so that they annihilate].

Against [doubts with] the current interpretation of field theory:

1. There are no representative [vehicles in the world] other than fundamental particles, but nevertheless [some] physicists seem to think fields are primary and particles secondary [Auyang page 45: 'the fundamental ontology of the world is a set of interacting fields; on the contrary, Weinberg sees particles as primary, page I, xxi. Auyang: How is Quantum Field Theory Possible?, Weinberg: The Quantum Theory of Fields Volume I: Foundations]

2. Real numbers, as applied in classical and quantum physics are purely hypothetical insofar as, like complex numbers, they are not observable. Proofs of continuity such as ε - δ are circular, insofar as it is assumed that ε and δ are real. (ε, δ)-definition of limit - Wikipedia

3. Initial state of the universe is assumed to be very simple, entropy 0, so that current highly complex system of Lagrangians and Feynman diagrams does not approximate the initial state. Lagrangian mechanics - Wikipedia, Feynman diagram - Wikipedia, Veltman: Diagrammatica: The Path to the Feynman Rules Appendix E

4. The notion that the eternal and pointlike initial singularity possessed an infinite positive energy seems incoherent, and a better idea may be that the universe began with equal and opposite amounts of positive and potential energy whose sum was and remains zero. Hawking & Ellis: The Large Scale Structure of Space-Time, Zero-energy universe - Wikipedia

[page 313]

5. The nature of the theory that requires renormalization and gives rise to the cosmological constant problem and infinite self energy of charged particles seems incoherent. Renormalization - Wikipedia, Cosmological constant problem - Wikipedia, Self-energy - Wikipedia

6. The only initial condition that we can logically attribute to the initial singularity is existence, and we may assume that its essence is logically identical to its existence, so that it is a necessary and eternal being. Initial singularity - Wikipedia

7. The only reasonable constraint we can place on the universe is local consistency, the requirement that p and not-p cannot exist at the same point in spacetime. On the other hand, all pairwise instances of p and not-p must occur at different space-time points separated by a finite space-time interval. [This is true of fermions; bosons may occupy the same quantum state at the same point in space-time] This suggests that we can identify the initial and final points of space-time geodesics so that logically photons do not move, such non-motion being identical to the velocity of light. Geodesics in general relativity - Wikipedia, Fermion - Wikipedia, Boson - Wikipedia

8. The only source in the universe is self reference first presented in Augustine and Aquinas as an explanation of the creation of the Son from the Father in the Trinity. Aquinas, Summa, I, 27, 1: Is there procession in God?

9. Bonding is established by communication which connects sources in a time ordered manner.

10. There are no external constraints on the universe and the only internal constraint is 7 above.

11. Requisite variety says simple past cannot control complex future so that the future is always partly random with respect to the past unless entropy is conserved in a reversible process. Ashby: An Introduction to Cybernetics

[page 314]

12. Gravitation sees [only energy], and insofar as all particles carry energy, it does not distiguish between them. All particles communicate with one another through gravitation [the alleged graviton is a boson], and insofar as it if Newtonian in flat space, the attraction varies as the inverse square of the distance between the particles. In Einstein's theory there is a feature that makes the universe expand, dark energy, dark matter. Is this associated with particles? Does gravitation see zero point energy which is the [theoretical] source of the cosmological constant problem [it seems not, which is the problm]? Dark energy - Wikipedia, Dark matter - Wikipedia

13. Quantum mechanics sees kinetic and potential energy as identical and sees only energy differences. Hamiltonian (quantum mechanics) - Wikipedia

14. Is there enough information in particles seen as representative vehicles to explain the world, or do we need the fields proposed by quantum field theory which have the problem of not being carried by representative vehicles? The most satisfactory view is that [a large part of the the complexity we attribute to the fields is explained by the particles interactions with one another, which is to say that the particles are the hardware for the fields].

15. The wave function [and the associated fields] is considered to be deterministic but it only describes the potential (in the Aristotelian sense) behaviour of the particles, which has some [material] statistical control over what actually happens.

16. Algorithmic information theory tells us that the only information in an algorithm (symmetry) is carried by the structure of the algorithm, eg F = ma so we might see particles as algorithms or symmetries, in that all the members of a particular species, eg electrons, are identical [and differentiated by their roles in the higher layers of the network in which they participate rather as individual bits in the runtime of a piece of software are differentiated by their role in the execution of that software].

[page 315]

17. There is no information in a continuum which is why Noether's theorem works and symmetries identify identities which are nevertheless, as particles, identified by their space-time location. Neuenschwander: Emmy Noether's Wonderful Theorem

18. All interactions required contact which is possible because the pre-metric [time-energy] world before gravitation [in which quantum mechanics operates] has no size].

19. So gravitation must be implicit in [quantum mechanics] ie it is controlled only by local consistency, as the general theory is once we situate it in 4D space-time.

20. Quantization is a consequence of the mathematical theory of communication, the obverse of the fact that there is no information in a continuum, since there are no discrete representative vehicles. Claude Shannon: Communication in the Presence of Noise

21: Continuity is the paradigm of reductionism, a mathematical expression of the notion of universals. Particulars arise out of the continuum by symmetry breaking. Mathematicians, particularly Cantor, broke the real continuum of Aristotle into point sets, that is collections of discrete addressed points. This history, beginning with Zeno and the invention of calculus, is a paradigm of the creation of the world. Cantor: Contributions to the Founding of the Theory of Transfinite Numbers

22. Form is equivalent to action, since an action or set of actions is equivalent to a [dynamic] representative vehicle [such as myself], ie a word, statement or person.

23. The mathematical community as a paradigm of the relationship between formalism and concrete reality, theorem and mathematicians.

24. The keys to computing are digital clocking and random access memory, which requires three dimensional space, so 4D spacetime is a practical expression of the fact that the world is a computer, a necessary and sufficient condition for the existence of computer networks.

[page 316]

25. Since the time of Newton and Leibniz, mathematicians have been making the transition from formal representation of static structures like Euclidean geometry to representation of dynamic strictures like differential manifolds. The key to this development has been the Cartesian connection between geometry, arithmetic and algebra. [The key to understanding differentiation is logical continuity, a la Aristotle's syllogism.] Differential geometry - Wikipedia

26. Maybe it is a mistake to consider the pixellation of the universe as a dynamic rather than a formal principle, so leading to the cosmological constant problem which depends for it existence on the half quantum of action ½ℏω defining the zero point energy of quantum harmonic oscillators. Zero-point energy - Wikipedia

27. Machine infinity arises when we run out of representative vehicles. For God and the initial singularity, having no representative vehicles except themselves, machine infinity = 2.

28: The fact that the velocity of spooky action at a distance is indistinguishable from infinite suggests that quantum mechanics is operative before the emergence of the spatial metric and so can be taken as [emerging] after the emergence of time-energy [quantum mechanics] and is the hardware layer for the emergence of space to form Minkowski space-time which is the hardware (firmware) layer for the emergence of the gravitational metric. Salart: Testing the speed of 'spooky action at a distance'

29. Photon emerges from time-energy? How? The first space-time representative vehicle. Photon - Wikipedia

30. Communication is computation, so a Turing machines transforms an input state to n output state, so communicating from input to output, analogous to the S matrix in quantum accelerator technology. Turing machine - Wikipedia, S Matrix - Wikipedia

31. So photon computes itself through space-time

[page 317]

while being a symmetric algorithm which exists before space-time.

32. The invisibility theorem tells us that due to machine infinity there are no representative vehicles available for machine (source) to execute both a process snd simultaneously communicate what it is doing. This is a consequence of the statistical normalization of a communication source, embodied in quantum mechanics by the unitarity of measurment operators. Unitarity (physics) - Wikipedia, Measurement in quantum mechanics - Wikipedia

Wednesday 28 August 2019
Thursday 29 August 2019

. . .

[page 318]

. . .

Jones page 126; Feuerbach: religion is an alienated form of human emotion. Emotions could become objects of thought: reflection, consciousness . . . man became conscious of his humanity, of his 'species being' through the agency of other men. Jones: Karl Marx

The spirit of the world is logical and digital stretching from the one to the transfinite by creative copying snd the elimination of local contradictions.

Friday 30 August 2019
Saturday 31 August 2019

The world appears to be in a bad way. Can philosophers and theologians do anything to cure it? Guancheng, Stephens Chen Guangcheng: Trump has the right strategy on Beijing. As a Chinese dissident I'd know, Bret Stephens: World War II and the Ingredients of Slaughter

The fundamental evil, it would seem, is the prevalence of the universal dichotomy of humanity into us (good) and them (bad), us to be supported, them to be eliminated. The problem here is that some ideologies, like Nazism and all forms of abuse of human rights are bad and do need to be eliminated, but by education rather than by war or murder. The root of these

[page 319]

ideologies, which is usually the real or perceived abuses perpetrated by a ruling class, needs to be eliminated if we are to avoid the consequent polarization and fragmentation of societies. Here the golden rule applies and we must seek to reinforce it by stressing the unity of the divine world.

My principal argument against the traditional omnino simplex god is that it incorporates no representative vehicles (particles) so how can this god be omniscient and design and create the world by fiat? So I am trying to replace it with a scenario that generates the world from an initial singularity that is at the initial level identical to the traditional god, and sharing with it the two properties of having no representative vehicles and being the source of the world. The problem then becomes how do we explain the origin of complex structure and representative vehicles put of a system identical to the traditional god which is in effect identical to the traditional creation.

The standard explanation is that this just happened by an event known as the big bang. The Universe emanated [within] the initial singularity by developing the structures described by the general theory of relativity and the system of particles and representative vehicles described by the 'Standard model'. This structure of spacetime and particles then evolved over a period of about 14 billion years to give us the world we now observe. The problem I face in this thesis is how to fashion a logical explanation of this process.

My argument to date has been motivated by the Christian doctrine of the Trinity. God, reflecting on itself, has given rise to a second representative vehicle, the Son, so that we now have a network of two sources communicating with one another. This process of bifurcation and communication continues ad infinitum by analogy with a logical

[page 320]

computer to networks to give us the world we have and, using the network model, we interpret this as analogous to our own minds and we understand the generation of representative vehicles by analogy with the formation of clear and distinct ideas in our minds [which we project into physical visibility by various forms of body language such as speech, writing, and action].

Mathematicians generate the real number by permuting sets of natural numbers, as Cantor did. I understand the creative process as the inverse of this, beginning with a structureless continuum and envisaging the gradual emerging of the natural numbers, that is discrete representative vehicles, out of the continuum, which serves as a model of the simple God and the initial singularity, on the basis that a real continuum [as envisaged by Aristotle interpreted as the logical overlap from which we compute probabilities in quantum theory in contrast to the modern version of it as an infinite set of discrete points] carries no information.

Here we are replacing the notion of geometric continuity, which has been the fundamental model of the world, with the emergence of a logical continuity which is a structure of logical atoms (particles) coupled by communications [whose logical continuity is modelled by computations, ie computation = communication, in-state to out-state], the idea at the foundation of quantum field theory which divides all particles into fermions and bosons [that is structures and messages].

In a nutshell, we see creation as the emergence of natural numbers (quanta of action) from the continuum. The framework for this work is in effect the story of my theological life, moving from being an alien creature in a universe created by an an arbitrary god to an intimate subsystem fitting snugly into a self creating universe. In philosophical terms, my problem is the relationship between the human material and spiritual worlds which I studied intensely in my monastic days guided by Plato, Aristotle and Aquinas [collectively, Scholastic philosophy].

[page 321]

Weinberg I, page 1: Wigner: 'a particle is a representation of the inhomogeneous Lorentz group'. Eugene Wigner: On Unitary Representations of the Inhomogeneous Lorentz Group

page 3. a relativistic quantum theory of a fixed number of particles is an impossibility.

page 4: Heisenberg manifesto: observables Werner Heisenberg: Quantum-theoretical re-interpretation of kinematic and mechanical relations

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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!)

Ashby, W Ross, An Introduction to Cybernetics, Methuen 1956, 1964 'This book is intended to provide [an introduction to cybernetics]. It starts from common-place and well understood concepts, and proceeds step by step to show how these concepts can be made exact, and how they can be developed until they lead into such subjects as feedback, stability, regulation, ultrastability, information, coding, noise and other cybernetic topics.' 
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Auyang, Sunny Y., How is Quantum Field Theory Possible?, Oxford University Press 1995 Jacket: 'Quantum field theory (QFT) combines quantum mechanics with Einstein's special theory of relativity and underlies elementary particle physics. This book presents a philosophical analysis of QFT. It is the first treatise in which the philosophies of space-time, quantum phenomena and particle interactions are encompassed in a unified framework.' 
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Cantor, Georg, Contributions to the Founding of the Theory of Transfinite Numbers (Translated, with Introduction and Notes by Philip E B Jourdain), Dover 1895, 1897, 1955 Jacket: 'One of the greatest mathematical classics of all time, this work established a new field of mathematics which was to be of incalculable importance in topology, number theory, analysis, theory of functions, etc, as well as the entire field of modern logic.' 
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Haight, Roger, Jesus Symbol of God, Orbis Books 1999 Jacket: 'This book is the flagship of the fleet of late twentieth century works that show American Catholic theology has indeed come of age. Deeply thoughtful in its exposition, lucid in its method, and by turns challenging and inspiring in its conclusions, this christology gives a new articulation of the saving "point" of it all. . . . Highly recommended for all who think about and study theology.' Elizabeth Johnson CSJ, Fordham University. 
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Hallett, Michael, Cantorian Set Theory and Limitation of Size, Oxford UP 1984 Jacket: 'This book will be of use to a wide audience, from beginning students of set theory (who can gain from it a sense of how the subject reached its present form), to mathematical set theorists (who will find an expert guide to the early literature), and for anyone concerned with the philosophy of mathematics (who will be interested by the extensive and perceptive discussion of the set concept).' Daniel Isaacson. 
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Hawking, Steven W, and G F R Ellis, The Large Scale Structure of Space-Time, Cambridge UP 1975 Preface: Einstein's General Theory of Relativity . . . leads to two remarkable predictions about the universe: first that the final fate of massive stars is to collapse behind an event horizon to form a 'black hole' which will contain a singularity; and secondly that there is a singularity in our past which constitutes, in some sense, a beginning to our universe. Our discussion is principally aimed at developing these two results.' 
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Jones, Gareth Stedman, Karl Marx: Greatness and Illusion, Bellnap Press 2016 Acknowledgements: '. . . However interesting Marx's life was, his enduring importance derives from the impact of the ideas he developed in a remarkable series of texts, whose status and meaning have been the occasion of fierce political arguments since their inception. Perhaps in order to steer clear of once violent and still simmering political passions surrounding these texts, scholarly biographers of Marx have tended to offer descriptive account of Marx's theoretical writings, and have preferred to concentrate on his life. By contract, I have decided to may as much attention to his thought s to his life. I treat his writings as the interventions of an author within particular political and philosophical contexts that the historian must carefully reconstruct. For all his originality, Marx was not a solitary explorer advancing along an untrodden path toward a novel and hitherto undiscovered theory. Instead, whether as a philosopher, political theorist or critic of political economy, his writing were intended as interventions in already existing field of discourse. . . . That is why I have paid as much attention to the utterances and reactions of contemporaries as to Marx's own words.' 
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Neuenschwander, Dwight E, Emmy Noether's Wonderful Theorem, Johns Hopkins University Press 2011 Jacket: A beautiful piece of mathematics, Noether's therem touches on every aspect of physics. Emmy Noether proved her theorem in 1915 and published it in 1918. This profound concept demonstrates the connection between conservation laws and symmetries. For instance, the theorem shows that a system invariant under translations of time, space or rotation will obey the laws of conservation of energy, linear momentum or angular momentum respectively. This exciting result offers a rich unifying principle for all of physics.' 
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Nielsen, Michael A, and Isaac L Chuang, Quantum Computation and Quantum Information, Cambridge University Press 2000 Review: A rigorous, comprehensive text on quantum information is timely. The study of quantum information and computation represents a particularly direct route to understanding quantum mechanics. Unlike the traditional route to quantum mechanics via Schroedinger's equation and the hydrogen atom, the study of quantum information requires no calculus, merely a knowledge of complex numbers and matrix multiplication. In addition, quantum information processing gives direct access to the traditionally advanced topics of measurement of quantum systems and decoherence.' Seth Lloyd, Department of Quantum Mechanical Engineering, MIT, Nature 6876: vol 416 page 19, 7 March 2002. 
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Veltman, Martinus, Diagrammatica: The Path to the Feynman Rules, Cambridge University Press 1994 Jacket: 'This book provides an easily accessible introduction to quantum field theory via Feynman rules and calculations in particle physics. The aim is to make clear what the physical foundations of present-day field theory are, to clarify the physical content of Feynman rules, and to outline their domain of applicability. ... The book includes valuable appendices that review some essential mathematics, including complex spaces, matrices, the CBH equation, traces and dimensional regularization. ...' 
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Weinberg, Steven, The Quantum Theory of Fields Volume I: Foundations, Cambridge University Press 1995 Jacket: 'After a brief historical outline, the book begins anew with the principles about which we are most certain, relativity and quantum mechanics, and then the properties of particles that follow from these principles. Quantum field theory then emerges from this as a natural consequence. The classic calculations of quantum electrodynamics are presented in a thoroughly modern way, showing the use of path integrals and dimensional regularization. The account of renormalization theory reflects the changes in our view of quantum field theory since the advent of effective field theories. The book's scope extends beyond quantum elelctrodynamics to elementary partricle physics and nuclear physics. It contains much original material, and is peppered with examples and insights drawn from the author's experience as a leader of elementary particle research. Problems are included at the end of each chapter. ' 
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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

Andrew Nagorski, Why poland's Solidarity Movement Should Be a Warning to Hong Kong, ' The protesters should recognize that, like Solidarity in Poland [in 1981], they risk a major defeat if their actions spark a violent crackdown, probably setting back their cause by at least several years. But the Communist authorities should recognize that, even if they prevail by the use of force in the short term, they may be inviting a far larger backlash in the future. Poland’s declaration of martial law did nothing to address the long list of legitimate grievances of its people; in fact, it forced the Solidarity movement underground, only to resurface with unstoppable momentum in 1989.' back

Aquinas, Summa, I, 27, 1, Is there procession in God?, 'As God is above all things, we should understand what is said of God, not according to the mode of the lowest creatures, namely bodies, but from the similitude of the highest creatures, the intellectual substances; while even the similitudes derived from these fall short in the representation of divine objects. Procession, therefore, is not to be understood from what it is in bodies, either according to local movement or by way of a cause proceeding forth to its exterior effect, as, for instance, like heat from the agent to the thing made hot. Rather it is to be understood by way of an intelligible emanation, for example, of the intelligible word which proceeds from the speaker, yet remains in him. In that sense the Catholic Faith understands procession as existing in God.' back

Ben Doherty and Verna Yu, Chinese espionage charges: Australian Yang Hengjun 'not a spy' says foreign minister, ' Yang Hengjun was not a spy for Australia, foreign minister Marise Payne has insisted, after the Australian writer was formally charged with espionage in Beijing, potentially facing the death penalty. “There is no basis for any allegation Dr Yang was spying for the Australian government,” Payne told the Guardian after the 54-year-old Australian was formally charged, seven months after first being detained in Guangzhou. . . . His lawyer in Beijing, Shang Baojun, said Yang had not been given any detail of his alleged offence, and that it was unclear when he might be put on trial. Because the case involved state security, his lawyers have not been allowed to visit him, nor given access to any legal documents.' back

Boson - Wikipedia, Boson - Wikipedia, the free encyclopedia, 'In particle physics, bosons are particles with an integer spin, as opposed to fermions which have half-integer spin. From a behaviour point of view, fermions are particles that obey the Fermi-Dirac statistics while bosons are particles that obey the Bose-Einstein statistics. They may be either elementary, like the photon, or composite, as mesons. All force carrier particles are bosons. They are named after Satyendra Nath Bose. In contrast to fermions, several bosons can occupy the same quantum state. Thus, bosons with the same energy can occupy the same place in space.' back

Bret Stephens, World War II and the Ingredients of Slaughter, ' World War II began 80 years ago this Sunday after Nazi Germany and the Soviet Union signed a “nonaggression” pact that was, in fact, a mutual aggression pact. Adolf Hitler invaded Poland on Sept. 1, 1939. Russia’s invasion of Poland, no less murderous, followed two weeks later. On Nov. 3 of that year, Joseph Goebbels, the propaganda minister, gave Hitler a report of his trip to Poland. “Above all, my description of the Jewish problem gets [Hitler’s] full approval,” he wrote in his diary. “The Jew is a waste product. It is a clinical issue more than a social one.” For several years many commentators, including me, have written about the parallels between the prewar era and the present.' back

Charlotte Grieve, 'Self-censorship is real': Canto-pop activist Denise Hon lashes out at NGV, ' Pop star and activist Denise Ho has accused the National Gallery of Victoria of censorship after an event about the Hong Kong pro-democracy protests was cancelled. . . . Denise Ho has accused Melbourne venues of censorship after an event she was to feature in has been denied by the NGV. The event, Be Water: Hong Kong vs China, seeks to bring together Ms Ho, political cartoonist Badiucao and other academics to discuss the months-long protests gripping Hong Kong and the future of the city. The event promises a "talk on art and resistance in Hong Kong" and comes as violent protests in the Chinese city are on the brink of entering a third month. Ms Ho accused the venues of rejecting the event for political reasons, tweeting on Monday that "self-censorship is real".' back

Chen Guangcheng, Trump has the right strategy on Beijing. As a Chinese dissident I'd know, ' Some contend, with justification, that Trump has not made democracy and freedom central to his foreign policy. But where China is concerned, dissidents, both within China and in the diaspora, note and appreciate what he is doing. Most activists agree that civilized talks behind closed doors have never elicited concessions from the CCP. The only way to make progress is by landing pointed blows, particularly against the party elites and their bank accounts (which are reliant on party-owned, nepotistic, monopolist companies).' back

Claude Shannon, Communication in the Presence of Noise, 'A method is developed for representing any communication system geometrically. Messages and the corresponding signals are points in two “function spaces,” and the modulation process is a mapping of one space into the other. Using this representation, a number of results in communication theory are deduced concerning expansion and compression of bandwidth and the threshold effect. Formulas are found for the maximum rate of transmission of binary digits over a system when the signal is perturbed by various types of noise. Some of the properties of “ideal” systems which transmit at this maximum rate are discussed. The equivalent number of binary digits per second for certain information sources is calculated.' [C. E. Shannon , “Communication in the presence of noise,” Proc. IRE, vol. 37, pp. 10–21, Jan. 1949.] back

Cosmological constant problem - Wikipedia, Cosmological constant problem - Wikipedia, the free encyclopedia, 'In cosmology, the cosmological constant problem or vacuum catastrophe is the disagreement between measured values of the vacuum energy density (the small value of the cosmological constant) and the zero-point energy suggested by quantum field theory. Depending on the assumptions[which?], the discrepancy ranges from 40 to more than 100 orders of magnitude, a state of affairs described by Hobson et al. (2006) as "the worst theoretical prediction in the history of physics." ' back

Cybernetics - Wikipedia, Cybernetics - Wikipedia, the free encyclopedia, 'Cybernetics is a transdisciplinary approach for exploring regulatory systems, their structures, constraints, and possibilities. Cybernetics is relevant to the study of systems, such as mechanical, physical, biological, cognitive, and social systems. Cybernetics is applicable when a system being analyzed is involved in a closed signaling loop; that is, where action by the system generates some change in its environment and that change is reflected in that system in some manner (feedback) that triggers a system change, originally referred to as a "circular causal" relationship.' back

Dark energy - Wikipedia, Dark energy - Wikipedia, the free encyclopedia, 'In physical cosmology and astronomy, dark energy is an unknown form of energy which is hypothesized to permeate all of space, tending to accelerate the expansion of the universe. Dark energy is the most accepted hypothesis to explain the observations since the 1990s indicating that the universe is expanding at an accelerating rate.' back

Dark matter - Wikipedia, Dark matter - Wikipedia, the free encyclopedia, 'Dark matter is an unidentified type of matter comprising approximately 27% of the mass and energy in the observable universe that is not accounted for by dark energy, baryonic matter (ordinary matter), and neutrinos. The name refers to the fact that it does not emit or interact with electromagnetic radiation, such as light, and is thus invisible to the entire electromagnetic spectrum.' back

Differential geometry - Wikipedia, Differential geometry - Wikipedia,the free encyclopedia, 'Differential geometry is a mathematical discipline that uses the techniques of differential calculus and integral calculus, as well as linear algebra and multilinear algebra, to study problems in geometry. The theory of plane and space curves and of surfaces in the three-dimensional Euclidean space formed the basis for development of differential geometry during the 18th century and the 19th century. Since the late 19th century, differential geometry has grown into a field concerned more generally with the geometric structures on differentiable manifolds.' back

Dominicans, Dominicans: Order of Preachers, 'WWW.OP.ORG is the official international Web site of the Order of Preachers (the Dominicans). The branches of the Dominican family are multiple: brothers, contemplative nuns, congregations of contemplative and apostolic sisters, lay persons in fraternities or secular institutes, secular priests in fraternities. "Each one has its own character, its autonomy. However by taking part in the charism of saint Dominic, they share between them a single vocation to be preachers in the Church (Chapter of Mexico, 1992)."' back

(ε, δ)-definition of limit - Wikipedia, (ε, δ)-definition of limit - Wikipedia, the free encyclopedia, 'In calculus, the (ε, δ)-definition of limit ("epsilon-delta definition of limit") is a formalization of the notion of limit. It was first given by Bernard Bolzano in 1817. Augustin-Louis Cauchy never gave an (ε, δ) definition of limit in his Cours d'Analyse, but occasionally used ε, δ arguments in proofs. The definitive modern statement was ultimately provided by Karl Weierstrass.' back

Eugene Wigner, On Unitary Representations of the Inhomogeneous Lorentz Group, ' 1. 0RIGlN AND CHARACTERIZATION OF THE PROBLEM: It is perhaps the most fundamental principle of Quantum Mechanics that the system of states forms a linear manifold, in which a unitary scalar product is defined. The states are generally represented by wave functions in such a way that ψ and constant multiples of ψ represent the same physical state. It is possible, therefore, to nornalize the wave function, i.e., to multiply it by a constant factor such that its scalar product with itself becomes 1. Then, only a constant factor of modulus 1, the so-called phase, will be left undetermined in the wave function. The linear character of the wave function is called the superposition principle. The square of the modulus of the unitary scalar product (φ, ψ) of two normalized wave functions φ and ψ is called the transition probability from the state φ into ψ or conversely. back

Fermion - Wikipedia, Fermion - Wikipedia, the free encyclopedia, 'In particle physics, fermions are particles with a half-integer spin, such as protons and electrons. They obey the Fermi-Dirac statistics and are named after Enrico Fermi. In the Standard Model there are two types of elementary fermions: quarks and leptons. . . . In contrast to bosons, only one fermion can occupy a quantum state at a given time (they obey the Pauli Exclusion Principle). Thus, if more than one fermion occupies the same place in space, the properties of each fermion (e.g. its spin) must be different from the rest. Therefore fermions are usually related with matter while bosons are related with radiation, though the separation between the two is not clear in quantum physics. back

Feynman diagram - Wikipedia, Feynman diagram - Wikipedia, the free encyclopedia, 'In quantum field theory a Feynman diagram is an intuitive graphical representation of a contribution to the transition amplitude or correlation function of a quantum mechanical or statistical field theory' back

Geodesics in general relativity - Wikipedia, Geodesics in general relativity - Wikipedia, the free encyclopedia, 'In general relativity, a geodesic generalizes the notion of a "straight line" to curved spacetime. Importantly, the world line of a particle free from all external, non-gravitational force, is a particular type of geodesic. In other words, a freely moving or falling particle always moves along a geodesic. back

Gillian Brockwell, George Washington owned slaves and ordered Indians killed. Will a mural of that history be hidden?, ' That is why now, as the San Francisco Board of Education has determined that it is harmful for students to view the murals’ depictions of Washington stepping over a dead Native American and commanding enslaved men on his plantation, they cannot be put into storage or moved to a museum. The murals — 13 individual works spanning 1,600 square feet of the entry hall and main stairwell — are part of the school.' back

Guardian Staff, Guardian Australia's The Killing Times wins prize in NSW premier's history awards, ' Guardian Australia has won the digital history prize in the New South Wales premier’s history awards for its Indigenous massacres project, The Killing Times. The collaborative series with the University of Newcastle’s colonial massacres research team found there were at least 270 frontier massacres over 140 years as part of a state-sanctioned and organised attempt to eradicate Aboriginal people. The Killing Times documented the history of Australia’s frontier wars through the development of an interactive map showing every verifiable site of frontier conflict in the process of colonisation, from 1788 to 1930.' back

Hamiltonian (quantum mechanics) - Wikipedia, Hamiltonian (quantum mechanics) - Wikipedia, the free encyclopedia, 'I In quantum mechanics, a Hamiltonian is an operator corresponding to the sum of the kinetic energies plus the potential energies for all the particles in the system (this addition is the total energy of the system in most of the cases under analysis). It is usually denoted by H . . .. Its spectrum is the set of possible outcomes when one measures the total energy of a system. Because of its close relation to the time-evolution of a system, it is of fundamental importance in most formulations of quantum theory. The Hamiltonian is named after William Rowan Hamilton, who created a revolutionary reformulation of Newtonian mechanics, now called Hamiltonian mechanics, which is also important in quantum physics. ' back

Helen Davidson, US knew Indonesia intended to stop East Timorese independenc 'through terror and violence', ' The US government knew for months that Indonesia’s military was supporting and arming militias in East Timor in the lead-up to the 1999 independence referendum but continued to push for stronger military ties, declassified documents have revealed. . . . They reveal extensive and early awareness within the US government of the Indonesian military (formerly ABRI, now TNI) and its “determination to thwart an independence vote in East Timor through terror and violence”.' back

Ida Auken, We Danes know s lot about wind turbines. You can learn too, President Trump, ' President Trump bypassed the climate session of the Group of Seven meeting Monday, and afterward he redoubled his commitment to America’s use of fossil fuel. “I’m not going to lose that wealth,” he said at a news conference. “I’m not going to lose it on dreams and windmills, which, frankly, aren’t working too well.” Good news — neither the president nor anyone else will lose their wealth because of wind energy. On the contrary. A green energy system is cheaper, cleaner and safer than most systems dependent on fossil fuel. And it’s more conducive to dreams of a future on this planet.' back

Ilaria Mria Sala, Hong Kong's 'be water' protests leave China casting about for an enemy, ' Ever since Beijing has had to admit it cannot control the information flooding out of Hong Kong, it has reshaped the events into something it could spin: a small group of “black hands” acting behind the scenes and with international support has tried to sow discord into Hong Kong. The “black hand” theory is an old Soviet trope still shaping the Chinese Communist party’s worldview. With Friday’s arrests we can see that it not only uses it as propaganda, but also actually believes it.' back

Initial singularity - Wikipedia, Initial singularity - Wikipedia, the free encyclopedia, 'The initial singularity was the gravitational singularity of infinite density thought to have contained all of the mass and spacetime of the Universe before quantum fluctuations caused it to rapidly expand in the Big Bang and subsequent inflation, creating the present-day Universe.' back

Lagrangian mechanics - Wikipedia, Lagrangian mechanics - Wikipedia, the free encyclopedia, 'Lagrangian mechanics is a re-formulation of classical mechanics that combines conservation of momentum with conservation of energy. It was introduced by Joseph Louis Lagrange in 1788. In Lagrangian mechanics, the trajectory of a system of particles is derived by solving Lagrange's equation, given herein, for each of the system's generalized coordinates. The fundamental lemma of calculus of variations shows that solving Lagrange's equation is equivalent to finding the path that minimizes the action functional, a quantity that is the integral of the Lagrangian over time.' back

Linda Lew, Chinese censorship laws could prompt foreign book publishers to look elsewhere for printers, ' Firms from Australia and New Zealand hit by delays and cancellations because of need for printing firms to comply with local laws. Maps need special approval and changes have been ordered to book to comply with Beijing’s official line on sensitive topics even if they are only going to be sold abroad.' back

Measurement in quantum mechanics - Wikipedia, Measurement in quantum mechanics - Wikipedia, the free encyclopedia, 'The framework of quantum mechanics requires a careful definition of measurement. The issue of measurement lies at the heart of the problem of the interpretation of quantum mechanics, for which there is currently no consensus.' back

Pangaro, Cybernetics - A Definition, 'What does the word "cybernetics" mean? "Cybernetics" comes from a Greek word meaning "the art of steering". Cybernetics is about having a goal and taking action to achieve that goal. Knowing whether you have reached your goal (or at least are getting closer to it) requires "feedback", a concept that comes from cybernetics. From the Greek, "cybernetics" evolved into Latin as "governor". ...' back

Peter Coy, Why the Periodic Table of Elements Is More Important Than Ever, back

Photon - Wikipedia, Photon - Wikipedia, the free encyclopedia, 'A photon is an elementary particle, the quantum of all forms of electromagnetic radiation including light. It is the force carrier for electromagnetic force, even when static via virtual photons. The photon has zero rest mass and as a result, the interactions of this force with matter at long distance are observable at the microscopic and macroscopic levels.' back

Physics-animations.com, Interference of the wave on the water surface, 'Simulation of the waves on the water surface allows many physical phenomenon common for waves of different types (interference, diffraction, reflection, etc.) to be investigated and visualized.' back

Renormalization - Wikipedia, Renormalization - Wikipedia, the free encyclopedia, 'In quantum field theory, the statistical mechanics of fields, and the theory of self-similar geometric structures, renormalization is any of a collection of techniques used to treat infinities arising in calculated quantities.' back

S Matrix - Wikipedia, S Matrix - Wikipedia, the free encyclopedia, 'In physics, the Scattering matrix (S-matrix) relates the initial state and the final state for an interaction of particles. It is used in quantum mechanics, scattering theory and quantum field theory.' back

Sam Jones, Peru: skeletons of 227 victims unearthed at world's largest child sacrifice site, ' Archaeologists excavating what is thought to be the world’s largest child sacrifice site have unearthed the skeletons of 227 young victims in the coastal desert of northern Peru. Teams have been digging since last year at the sacrificial site in Huanchaco, a beachside tourist town close to Trujillo, Peru’s third largest city. Experts believe the children, who were aged between four and 14, were sacrificed by the Chimú culture to placate the gods as rains and floods caused by the El Niño weather pattern battered the Peruvian coastline.' back

Sara Niner, Twenty years after independence Timor-Leste continues its epic struggle, ' After the collapse of the Suharto dictatorship in Indonesia in 1998, President B.J. Habibie agreed to let the Timorese decide their future in a ballot. In his honour, they recently named a bridge after him. . . . In the August 30 1999 referendum, nearly 80% of East Timorese voted for independence by indicating the blue and green National Council of Timorese Resistance (CNRT) flag on the ballot paper. Extensive military and militia slayings followed the announcement of the vote. An estimated 1500 East Timorese were killed and more than 250,000 forcibly displaced into Indonesia. About 80% of infrastructure was destroyed. Survivors struggled to feed and look after their families while recovering psychologically from the mayhem.' back

Self-energy - Wikipedia, Self-energy - Wikipedia, the free encyclopedia, 'In most theoretical physics such as quantum field theory, a particle's self-energy Sigma represents the contribution to the particle's energy, or effective mass, due to interactions between the particle and the system it is part of. For example, in electrostatics the self-energy of a given charge distribution is the energy required to assemble the distribution by bringing in the constituent charges from infinity, where the electric force goes to zero.' back

The Guardian, The Killing Times, ' This is a map of sites where violence occurred on the Australian frontier. This site does not contain images of people who have died. However, the historical records reproduced here use archaic terms that are offensive, and the themes and content within will be distressing to many people.' back

Turing machine - Wikipedia, Turing machine - Wikipedia, the free encyclopedia, A Turing machine is a hypothetical device that manipulates symbols on a strip of tape according to a table of rules. Despite its simplicity, a Turing machine can be adapted to simulate the logic of any computer algorithm, and is particularly useful in explaining the functions of a CPU inside a computer. The "machine" was invented in 1936 by Alan Turingwho called it an "a-machine" (automatic machine). The Turing machine is not intended as practical computing technology, but rather as a hypothetical device representing a computing machine. Turing machines help computer scientists understand the limits of mechanical computation.' back

Unitarity (physics) - Wikipedia, Unitarity (physics) - Wikipedia, the free encyclopedia, In quantum physics, unitarity means that the sum of probabilities of all possible outcome of any event is always 1. This is necessary for the theory to be consistent. This implies that the operator which describes the progress of a physical system in time must be a unitary operator. This operator is eiHt where H is the Hamiltonian of the system and t is time. back

Werner Heisenberg, Quantum-theoretical re-interpretation of kinematic and mechanical relations, 'The present paper seeks to establish a basis for theoretical quantum mechanics founded exclusively upon relationships between quantities which in principle are observable.' back

Zero-energy universe - Wikipedia, Zero-energy universe - Wikipedia, the free encyclopedia, 'The zero-energy universe hypothesis proposes that the total amount of energy in the universe is exactly zero: its amount of positive energy in the form of matter is exactly canceled out by its negative energy in the form of gravity. . . . The zero-energy universe theory originated in 1973, when Edward Tryon proposed in the journal Nature that the universe emerged from a large-scale quantum fluctuation of vacuum energy, resulting in its positive mass-energy being exactly balanced by its negative gravitational potential energy.' back

Zero-point energy - Wikipedia, Zero-point energy - Wikipedia, the free encyclopedia, ' Zero-point energy (ZPE) is the lowest possible energy that a quantum mechanical system may have. Unlike in classical mechanics, quantum systems constantly fluctuate in their lowest energy state as described by the Heisenberg uncertainty principle. As well as atoms and molecules, the empty space of the vacuum has these properties. According to quantum field theory, the universe can be thought of not as isolated particles but continuous fluctuating fields: matter fields, whose quanta are fermions (i.e. leptons and quarks), and force fields, whose quanta are bosons (e.g. photons and gluons). All these fields have zero-point energy. These fluctuating zero-point fields lead to a kind of reintroduction of an aether in physics, since some systems can detect the existence of this energy. However this aether cannot be thought of as a physical medium if it is to be Lorentz invariant such that there is no contradiction with Einstein's theory of special relativity.' back

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