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Topic: Coherent duality

	CISNA - The Duality Principle
		Duality should be considered as an axiom of the world in which we live.
		If students were to be presented with the structure of duality, and shown how it applies to each of us in our daily lives before they began studying the theories of any scientific discipline, they would have the opportunity to incorporate this knowledge into their understanding of the disciplines.
		Dualism is known to be a general property of matter.
	www.posttool.com /cisna/dual.html (3953 words)

	Duality (mathematics) - Wikipedia, the free encyclopedia
		In another group of dualities, the objects of one theory are translated into objects of another theory and the morphisms between objects in the first theory are translated into morphisms in the second theory, but with direction reversed.
		Using a duality of this type, every statement in the first theory can be translated into a "dual" statement in the second theory, where the direction of all arrows has to be reversed.
		Dual graph is a concept in graph theory.
	en.wikipedia.org /wiki/Duality_(mathematics) (315 words)

	Coherent sheaf - Wikipedia, the free encyclopedia
		In mathematics, especially in algebraic geometry and the theory of complex manifolds, a coherent sheaf F on a locally ringed space X is a sheaf isomorphic with the cokernel of a morphism of O
		The role played by coherent sheaves is as a class of sheaves, say on an algebraic variety or complex manifold, that is more general than the locally free sheaf — such as invertible sheaf, or sheaf of sections of a (holomorphic) vector bundle — but still with manageable properties.
		The duality theory in scheme theory that extends Serre duality is called coherent duality (sometimes Grothendieck duality).
	en.wikipedia.org /wiki/Coherent_sheaf (690 words)

	Prophet's Manual - 2012 End of time - Fractality (Site not responding. Last check: 2007-10-26)
		Each gravitational shell is duality of two equal and opposite spatial and time shells that rotate in opposite directions and their coherence at Â¼ curvature is quantum leap from one to another coherent quantum state â€“ regardless if itâ€™s small space of an atom or large space of the universe.
		Coherence in coherent framework is incoherence because of their inversely proportional matrices, but than incoherence in equally incoherent framework also appears as perfectly coherent truth.
		Coherence of all relative theories limited in space by its time and limited in time by its space is not a theory but truth beyond all theories.
	www.prophetsmanual.com /content/index.cfm?navID=21&itemID=24 (3579 words)

	21.12.2012 Prophecy End of time End of the world
		The gravity coheres the earthly 3D matter and the solar 4D matter into an un interrupted and smooth matter because it is split between them – it acts as space of the solar matter but also as time of the earthly matter.
		It is the duality of the whole and half integer spins creating 3/2 gravitational manifestation of life as per Bode’s 3/2 fractal harmonization responsible for all manifestations of the dense space and their eventual durations in time (their quantum states).
		The gravitational coherence of the distant cosmic bodies is red-shifted through the angular time curvature of the present linear space just as the gravitational coherence of the microcosmic particles is blue-shifted through the angular spatial curvature of the present linear time.
	www.endoftime2012.com /succession-of-life.php (22503 words)

	Gabor Discovers Holography (Site not responding. Last check: 2007-10-26)
		Using the coherent light of a laser to illuminate the object, a hologram records the intensity plus the phase relationships of the incident light waves – and perhaps much more information of which we are presently unaware.
		After the film is developed and coherent laser light is directed through the recorded information at the proper geometric angle, a reversed three-dimensional image containing all the details of the original object is reconstructed in open local space.
		The interaction of the coherent information in the reference beam and the modified information in the diffraction beam creates a unique interference pattern (diffraction pattern) that is recorded (encoded) in the film emulsion.
	www.cox-internet.com /hermital/book/holoprt7-1.htm (1576 words)

	[No title]
		GROSS-HOPKINS DUALITY N. In [8] Hopkins and Gross state a theorem revealing a profound relationship be* tween two different kinds of duality* in stable homotopy theory.
		Then for any coherent sheaf F on S we have a Serre duality isomorphism Hk(S; Hom(F; d)) = Hom (Hd-k(S; F); C): This can be seen as a special case of the Grothendieck duality theorem for a pr* *oper morphism [7], which is formulated in terms of functors between derived categories.
		The Hopkins-Gross theorem is a ki* nd of analog of Serre duality* in the K(n)-local stable homotopy category.
	hopf.math.purdue.edu /Strickland/st-ghd.txt (4246 words)

	\bf The Duality Between Aglebraic Posets and Bialgebraic Frames: A Lattice Theoretic Perspective
		Bialgebraic (that is, algebraic and dually algebraic), distributive lattices should be familiar enough to algebraists, but this may not be the case with domains.
		Coherent lattices form an important class of mathematical objects, due to their role in Stone-type dualities and to the fact that they possess logical presentations involving only finite conjunctions and disjunctions (see Johnstone [13]).
		In light of Theorem 4.11, we know that every bialgebraic, coherent frame has associated with it an algebraic poset whose lattice of Scott-open sets is order-isomorphic to the parent frame.
	frank.mtsu.edu /~jhart/ALGFRM.html (9751 words)

	[No title]
		There is an entirely satisf* actory theory of equivariant Thom isomorphisms and Poincare duality* under the much more stringent hypothesis that the base space X be G-connected, in the sense th* *at each XH is non-empty and (path) connected.
		Coherent families of Thom classes and Thom isomorphisms Let E be a commutative ring G-spectrum, in the classical homotopical sense: we have a unit map S -!
		To obtain a Poincare duality theorem along the present lines, one would have to prove an Atiyah duality theorem for the H-connected covers of smooth compact G-manifolds M. That is, if M embeds in V with normal bundle, one might hope that the H-spaces T()(x) and M (x) are V -dual for x 2 MH.
	hopf.math.purdue.edu /May/Melpaper.txt (7587 words)

	Physics Help and Math Help - Physics Forums - Light
		I will prove that the wave-particle duality theory of light is invalid then form a particle theory of light that describes the aperture diffraction, and transmission and reflection effects of light.
		The optic particle's energy is represented with the photoelectric energy equation; the constant (h) is derived using the atomic ionization energy and emitted electron's kinetic energy.
		The wave-particle duality theory of light is justified with Huygens's principle, Fresnel's TandR [transmission and reflection] equations, polarization, Maxwell's structure of light, Einstein's photoelectric quanta, quantum mechanic wave packet, and quantum electrodynamics (QED).
	www.physicsforums.com /printthread.php?t=56799 (1941 words)

	Quantum AUM (Site not responding. Last check: 2007-10-26)
		The only possible creative duality within Unity, (zero point or quantum vacuum)" is the "supra rational or transcendent" proportion of Phi also referred to as the Golden Mean.
		Coherence is symmetry and reflects the tendency toward homeostasis and the ground state of all electromagnetic energy.
		The process of holding ‘coherence domains', which means to have a body, begins with the master regulator, the energetic informational entrainer of all bodies within the large body, the heart.
	www.heartbeat2000.com /aum.htm (4094 words)

	Serre duality -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-26)
		In fact the basic relation of the theorem involves L(D) and L(K−D), where D is a (The number by which a dividend is divided) divisor and K a divisor of the (additional info and facts about canonical class) canonical class.
		Serre duality of curves is therefore something very classical; but it has interesting light to cast.
		The formulation in full generality uses a (additional info and facts about derived category) derived category and (additional info and facts about Ext functor) Ext functors, to allow for the fact that K is now represented by a (additional info and facts about chain complex) chain complex of sheaves.
	www.absoluteastronomy.com /encyclopedia/s/se/serre_duality.htm (512 words)

	TRUTON - The Rational Unified Theory Of Nature
		As we shall see, the motor of evolution is the spin of the Universe which in the end will lead to the Universe' self-destruction and to generating the "prime" material for the new universes to be formed.
		All rational natural sciences employ one and the same common signature --that of deriving their results from logical and coherent inferences similar as in Mathematics where its results are free of speculations, beliefs, or nilly-willy associations.
		The elusive origin of gravity, the origin of atomic and subatomic interactions and bonds, the origin of electric charges, the origin of the duality wave-particle for light and many other well known physical phenomena will receive a new foundation for their understanding.
	www.truton.com (1007 words)

	Alex Kaivarainen
		The coherent physical theory of Psi phenomena, like remote vision, telepathy, telekinesis, clairvoyance is absent till now due to its high complexity and multilateral character.
		The existence of coherent molecular/atomic clusters in liquids and solids, representing molecular mesoscopic Bose condensation (mBC) with dimensions of few nanometers was revealed by means of computer simulations.
		Duality is considered, as a high-frequency pulsation of three sub-elementary fermions, forming elementary particles, between the corpuscular [C] and wave [W] phase, modulated by de Broglie wave frequency of particles.
	www.parapsych.org /members/a_kaivarainen.html (1878 words)

	Re: Linear logic semantics (Barwise) (353 lines)
		Here D constitutes the composite logical-nonlogical structure, the duality expresses conservation of information, and C is the view of D from a traditional logic perspective.
		Both the coherent spaces and the phase spaces are discussed in Girard's TCS paper on linear logic.
		A logician might identify this duality with word-object duality, the Galois connection between theories and classes of structures, with position naturally identified with word and momentum with object.) This symmetry of observation means that not all observers can be perfect.
	www.cis.upenn.edu /~bcpierce/types/archives/1992/msg00047.html (2031 words)

	Triangularity The Mystical Version - www.ezboard.com
		Because of the phenomenon of duality; that is to say, positive and negative, triangularity becomes the true and complete manifestation of both the physical and spiritual levels of actuality.
		Triangularity assumes that all manifestation are triangulated in their construction, dual in their nature, and one in purpose, or actuality.
		Duality is but one choice of how to parse and arrange one's perception of sub-reality.
	p201.ezboard.com /fjabberwoqfrm7.showMessage?topicID=2.topic (1770 words)

	Perfecting by Phi (Site not responding. Last check: 2007-10-26)
		Perfectly coherent yet allowing for scale and variability, this is the Phi Paradox.
		Phi is the only possible creative duality able to arise out of Unity.
		It is extreme order (coherency) yet able to dance in variability (diversity, adaptability, mutability, etc.) with equal ease.
	www.heartbeat2000.com /perfect.htm (691 words)

	Biomolecule behaves like a wave (September 2003) - News - PhysicsWeb
		The classic signature of wave-particle duality in quantum particles is the wave-like interference pattern that is produced when a beam of particles passes through a ‘double-slit’.
		Researchers have seen wave-particle duality in electrons, atoms and small molecules but it has never been seen in the macroscopic world.
		In the experiment, porphyrin molecules that had been submlimated in an oven were passed through a new type of interferometer containing three sets of diffraction gratings, each separated from each other by about 38 cm.
	physicsweb.org /article/news/7/9/4 (529 words)

	Amazon.ca: Books: Duality Principles in Nonconvex Systems: Theory, Methods and Applications (Site not responding. Last check: 2007-10-26)
		With exceptionally coherent and lucid exposition, the work fills a big gap between the mathematical and engineering sciences.
		It shows how to use formal language and duality methods to model natural phenomena, to construct intrinsic frameworks in different fields and to provide ideas, concepts and powerful methods for solving non-convex, non-smooth problems arising naturally in engineering and science.
		The whole volume or selected chapters can also be recommended as a text for both senior undergraduate and graduate courses in applied mathematics, mechanics, general engineering science and other areas in which the notions of optimization and variational methods are employed.
	www.amazon.ca /exec/obidos/ASIN/0792361458 (480 words)

	networkideas.org - Responding to Financial Crisis With or Without IMF : A Comparative Analysis of State - Capital ...
		There is need to transcend the stereotype of duality in the state/ market or the state/society relation.
		Taking the case of several developing countries affected by financial crisis during the 1990s, the paper argues that autonomy of the capitalist state in the sense of the state being the locus of a coherent and rational policy external to the capital does not hold.
		Rather to account for the state as a key agent of social transformation which has itself been transformed as part of the changing social relations, it is essential to focus on the relations between the state and the capital groups.
	www.networkideas.org /featart/sep2004/fa06_Capital_Relations.htm (182 words)

	Europhysics Letters (EPL)
		Thermal breakdown of coherent backscattering: A case study of quantum duality
		We investigate coherent backscattering of light by two harmonically trapped atoms in the light of quantitative quantum duality.
		Including recoil and Doppler shift close to an optical resonance, we calculate the interference visibility as well as the amount of which-path information, both for zero and finite temperature.
	www.edpsciences.org /articles/epl/abs/2006/08/epl9274/epl9274.html (97 words)

	Is Quantum Mechanics relevant to understanding consciousness?:A review of "Shadows of the Mind" by Roger ...
		With signals going from one neuron to the next in a couple of milliseconds (and even faster dendritic processing) it is possible for coherent, classical activity to spread across the brain on a 10 msec time scale.
		But while it may be conceivable that microtubules maintain quantum coherence within a neuron, it is difficult to imagine how this coherence can be maintained across neurons.
		This is the brilliant manner in which the quantum duality avoids the difficulties encountered by the previous dualities of Plato, Descartes and Kant.
	psyche.cs.monash.edu.au /v2/psyche-2-03-klein.html (2413 words)

	uisiom :: The Spider Web String Theory (Site not responding. Last check: 2007-10-26)
		Crevo is a synthesis in a sense the quantum physics that has united the anti-thesis of creation along with the thesis of evolution into a coherent acceptable assumption.
		If two theories are related by a duality transformation, it means that the first theory can be transformed in some way, so that it ends up looking just like the second theory.
		The two theories are then said to be dual to one another under that kind of transformation.
	uisiom.myblogsite.com /blog/_archives/2005/3/20/457476.html (817 words)

	EconPapers: Coherent risk measures and good-deal bounds
		Abstract: The relation between coherent risk measures, valuation bounds, and certain classes of portfolio optimization problems is established.
		One of the key results is that coherent risk measures are essentially equivalent to generalized arbitrage bounds, named "good deal bounds" by Cerny and Hodges (1999).
		"Coherent" valuation bounds strike a balance in that the bounds can be sharp enough to be useful in the practice of pricing and still be generic, i.e., somewhat independent of personal preferences, in the way many coherent risk measures are somewhat generic.
	econpapers.repec.org /article/sprfinsto/v_3A5_3Ay_3A2001_3Ai_3A2_3Ap_3A181-200.htm (313 words)

	Kaivarainen I.
		The coherent physical theory of psi-phenomena is absent till now due to its high complexity and multilateral character.
		The same is true for coherent clusters of atoms/molecules in quantum state of mesoscopic Bose condensate [mBC] (Kaivarainen, 2000; 2001).
		The change of frequency of selected kind of thermal fluctuations, like cavitational ones, in the volume of receiver [R], including cytoplasm of nerve cells, is accompanied by reversible disassembly of microtubules and actin’ filaments, i.e.
	www.emergentmind.org /kaivarainen_I.htm (2289 words)

	Concurrency Abstracts (Site not responding. Last check: 2007-10-26)
		The dual of a true concurrency schedule appears to be a false concurrency automaton, a paradox we resolved in a previous paper by extending the latter to higher dimensions.
		This perspective dualizes the alternative view of Chu spaces as generalized topological spaces, and has the advantage of substituting the intuitions of formal language theory for those of topology.
		The symmetry is with the dual notion of state space, a poset with all nonempty meets representing choice and a bottom representing the start state.
	boole.stanford.edu /abstracts.html (9620 words)

	[No title]
		This analogy leads to the proposal of the general outlines of a new theory of mind, matter, and their relationship, in which the basic notion is participation rather than interaction.
		First, the quantum theory implies that all material systems have what is called a wave-particle duality in their properties.
		This dual nature of material systems is totally at variance with Newtonian physics, in which each system has its own nature independently of context.
	members.aol.com /Mszlazak/BOHM.html (7273 words)

	Azriel Z. Genack - Distinguished Professor
		As a result of wave - particle duality, studies of classical waves also serve as exacting models of electronic transport, involving quantum mechanical waves, in the solid state.
		This has provided essential models of electronic transport in mesoscopic systems, which are systems in which the phase coherence of the wave is preserved throughout the sample.
		Essential aspects of transport are described in terms of the degree of intensity correlation in space, which determines the closeness to the threshold for Anderson localization.
	www.physics.qc.edu /pages/genack (1541 words)

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