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As a layperson, I am struggling with "Causality", maybe someone has an
answer for me. The Uncertainty Principle postulates that it is inherently impossible to simultaneously establish the momentum and position of an electron. Is it also inherently impossible to determine if a photon exhibits as a particle or as a wave? Or can it be both at the same time. Thanks for any input. -- Walter The Happy Iconoclast www.rationality.net - |
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Iconoclast wrote:
As a layperson, I am struggling with "Causality", maybe someone has an answer for me. The Uncertainty Principle postulates that it is inherently impossible to simultaneously establish the momentum and position of an electron. No. Heisenberg says that the product of the uncertainties of conjugate variables' simultaneous values cannot be less than a stated very small number Is it also inherently impossible to determine if a photon exhibits as a particle or as a wave? Or can it be both at the same time. This is irrelevant to Heisenberg. A photon is neither. http://www.quantum.univie.ac.at/rese...atterwave/c60/ The group wants to repeat the experiment with small thermostable viruses. -- Uncle Al http://www.mazepath.com/uncleal/ (Toxic URL! Unsafe for children and most mammals) "Quis custodiet ipsos custodes?" The Net! |
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#3
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Iconoclast wrote:
As a layperson, I am struggling with "Causality", maybe someone has an answer for me. The Uncertainty Principle postulates that it is inherently impossible to simultaneously establish the momentum and position of an electron. Is it also inherently impossible to determine if a photon exhibits as a particle or as a wave? Or can it be both at the same time. http://www.arxiv.org/abs/quant-ph/0309016 The wave nature of biomolecules and fluorofullerenes Authors: Lucia Hackermueller, Stefan Uttenthaler, Klaus Hornberger, Elisabeth Reiger, Bjoern Brezger, Anton Zeilinger, Markus Arndt Comments: 5 pages, 4 figures Journal-ref: Phys. Rev. Lett. 91, 090408 (2003) DOI: 10.1103/PhysRevLett.91090408 We demonstrate quantum interference for tetraphenylporphyrin, the first biomolecule exhibiting wave nature, and for the fluorofullerene C60F48 using a near-field Talbot-Lau interferometer. For the porphyrins, which are distinguished by their low symmetry and their abundant occurence in organic systems, we find the theoretically expected maximal interference contrast and its expected dependence on the de Broglie wavelength. For C60F48 the observed fringe visibility is below the expected value, but the high contrast still provides good evidence for the quantum character of the observed fringe pattern. The fluorofullerenes therefore set the new mark in complexity and mass (1632 amu) for de Broglie wave experiments, exceeding the previous mass record by a factor of two. See: http://www.arxiv.org/abs/quant-ph/0309016 You might also enjoy: Entanglement: The Greatest Mystery in Physics Amir D Aczel 2002 John Wiley & Sons/Four Walls Eight Windows 302pp 16.99/$28.00hb There are two kinds of books about quantum mechanics. There are those in which we learn about abstract concepts such as Hilbert spaces, state vectors and density matrixes, but where the author never addresses - or only pays lip-service to - the question of what quantum mechanics actually means. This is the approach often taken in textbooks. The other, quite opposite, approach focuses on the interpretative question - drawing all kinds of conclusions and analogies, talking about telepathy and other mysteries, and perhaps even claiming that quantum mechanics transcends Western philosophy. Neither approach is very helpful when one wants to understand what quantum mechanics really means in a deep philosophical sense. Amir Aczel's new book on entanglement - falling as it does into neither category - avoids such pitfalls. Anton Zeilinger from the Institute of Experimental Physics at the University of Vienna reviews the book in the May issue of Physics World; email Did you ever wonder "What the heck is a photon, anyway?" http://math.ucr.edu/home/baez/photon/schmoton.htm The American Institute of Physics Bulletin of Physics News Number 626 February 26, 2003 by Phillip F. Schewe, Ben Stein, and James Riordon 3600 ATOMS IN TWO PLACES AT ONCE. Bose Einstein condensates (BEC), clouds of ultracold atoms which fall together into a single coherent state, continue to be a marvelous working material for studying subtle quantum effects. Last year physicists at the Max Planck Institute for Quantum Optics (MPQ) managed to load a BEC of rubidium atoms into a three-dimensional optical lattice, an artificial crystalline environment in which crossing laser beams provide the forces needed to pinion atoms in the 3D equivalent of an egg crate. Moreover, by a delicate modification of the laser light the resident atoms could be made to undergo a quantum transition between two phases. In one phase the atoms constitute a superfluid: all the atoms have a coordinated wave function, but the number of atoms in any one "well" in the egg carton is unknown. In the other phase the atoms constitute an insulator: the number of atoms in each well is known exactly to be equal to one, but the atoms are all uncoordinated with respect to each other (that is, they no longer can be considered a coherent quantum material). These were the results as of a year ago (see Greiner et al., Nature, 3 January 2003.) Speaking at last week's meeting of the American Association for the Advancement of Science (AAAS) in Denver, Immanuel Bloch reported that he and his MPQ colleagues have exploited the fact that the Rb atoms possess two magnetic substates and have succeeded, by a further adjustment of the confining laser beams, to separate each atom into two entangled spatially separated parts. The researchers are also attempting to get the different diploid atoms (an average of 3600 per plane in the lattice) to interact; one aim is to engineer an unprecedented degree of quantum entanglement, possibly for computational purposes. TUNABLE OPTICAL FIBERS. Optical fibers regularly carry billions of phone conversations and other data transmissions every day and are a fundamental part of optical sensing and numerous medical applications. The photonic devices responsible for all this traffic are being made even more efficient and versatile by handing over some of the switching and reconfiguring chores to the fibers themselves---the trunk lines linking all the optical nodes. An active optical fiber, which can tunably filter light at different frequencies, has been created by infusing microfluidic plugs, spaced at characteristic (periodic) intervals along the fiber, into air holes running parallel to the passageway for the light at the center of the fiber (see figure at http://www.aip.org/mgr/png/2003/180.htm ). The arrays of microfluidic plugs along the light path serves as a diffraction grating for producing the photonic-crystal effect. In other words, the presence of the fluids is used to change the refractive index periodically, and hence the transmission properties, of the fiber. The creators of this new microstructured optical fiber (MOF), Charles Kerbage (OFS Laboratories in Murray Hill, NJ; ) and Ben Eggleton (University of Sydney, ), say that this is the first time a tunable grating has been achieved with microfluids, and that this provides (in addition to the switchability) a very high index of refraction when compared to conventional gratings. (Applied Physics Letters, 3 March 2003) SHAKEN NOT STIRRED. The progression toward smaller and smaller electrical and mechanical components presents tremendous challenges to engineers and scientists as they strive to create devices on scales measured in microns and nanometers. One solution may be to develop materials that automatically arrange themselves in useful patterns. Now a collaboration of researchers (Igor Aronson, , 630-252-9725) at Argonne National Laboratory and Institute of Physics for Microstructures of the Russian Academy of Sciences has developed a new method for encouraging microscopic particles to self assemble into desired complex patterns. The technique is inspired by the patterns formed in shaken mixtures of much larger granular materials. Numerous, beautiful experiments involving agitated containers of sand, ball bearings, or other granular materials have shown that the combination of gravity and inter-particle forces from collisions can lead to a rich variety of patterns, ranging from particle-like localized excitations known as oscillons to honeycomb shapes to chaotic swirls (Update 264). Other studies have helped to explain why large and heavy brazil nuts sometimes rise to the top in shaken containers of mixed nuts (Update 132). The new research extends such experiments into microscopic regimes. Rather than mechanically agitating tiny grains to create self assembled patterns, however, the method relies on electrostatic fields to drive metallic microparticles immersed in liquids. The researchers placed 120-micron bronze spheres in a mixture of toluene and ethanol trapped between glass plates. The plates were coated with thin layers of transparent conducting material, and an electric field of up to 3 kilovolts per millimeter was applied between them. Particles that contacted the lower plate acquired a charge and were repelled toward the upper plate. If the upward electrostatic force is sufficient to overcome gravity, the particles fly upward, contact the upper plate where their charge is reversed, and then are forced back down again. In effect, the alternating charge on the particles is analogous to shaking a container of macroscopic grains. As in the classic granular material experiments, varying the conditions causes the particles to form vortices, pulsating rings, honeycomb patterns, or other structures (see figure at www.aip.org/mgr/png ). Ultimately, say the researchers, studies such as this may allow us to design systems that spontaneously self assemble into useful structures on increasingly tiny scales. (M. V. Sapozhnikov, Physical Review Letters, upcoming article) *********** PHYSICS NEWS UPDATE is a digest of physics news items arising from physics meetings, physics journals, newspapers and magazines, and other news sources. It is provided free of charge as a way of broadly disseminating information about physics and physicists. For that reason, you are free to post it, if you like, where others can read it, providing only that you credit AIP. Physics News Update appears approximately once a week. |
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"Iconoclast" wrote in message ...
As a layperson, I am struggling with "Causality", maybe someone has an answer for me. The Uncertainty Principle postulates that it is inherently impossible to simultaneously establish the momentum and position of an electron. Is it also inherently impossible to determine if a photon exhibits as a particle or as a wave? Or can it be both at the same time. Many things which can be measured in quantum mechanics are known as "observables". The uncertainty principle applies to certain pairs of observables known in the trade as "canonically conjugate" (if I have my jargon right), and an exact statement of it concerns the statistical properties of a large number of observations on a gaggletude of identical starting states (the technical term for gaggletude is "ensemble") -- not on the simultaneous values of the observables for a particular system. That aside, "exhibiting as a particle" and "exhibiting as a wave" are not canonically conjugate observables ... they are not even "observables" in any usual sense ... so the uncertainty relation simply does not apply. There is no measurement one can perform on a photon which gives a value of "particlehood" or "wavehood" -- just various situations which seem to emphasize one aspect of light's behavior or the other. |
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#5
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"Iconoclast" wrote in message
As a layperson, I am struggling with "Causality", maybe someone has an answer for me. The Uncertainty Principle postulates that it is inherently impossible to simultaneously establish the momentum and position of an electron. Is it also inherently impossible to determine if a photon exhibits as a particle or as a wave? Or can it be both at the same time. This is a bit of a can of worms you're going into here. It's very murky, and it's difficult to get ot the bottom of it. Even the Heisenberg Uncertainty principle is more complex than it first seems. Also, things like the HUP have been discussed ad infinitum here so people aren't that enthused about discussing it again. I've poked around at trying to understand the whole thing a bit better, with not a lot of success. One book you might try is "The Infamous Boundary: Seven Decades of Heresy in Quantum Physics D. Wick ". Here you can find out about the different ways of stating the HUP. It tries to explain the difference between the Uncertainty Principle and the indeterminacy principle, for example. It also looks at the gamma ray microscope experiment which is basically an experiment for trying to gather information about some particle or other - essentially the problem is that when you try to 'measure' the particle's position, you disturb it so everything becomes spoiled. There are some on this newsgroup who will castigate you for even mentioning this experiment because it is not really in the spirit of the HUP. The HUP is typically stated in terms of "inherent" uncertainty, whereas the gamma ray microscope is about dfisturbance caused by measuring. There is a difference! Finding discussions of this difference is not so easy. Wick's book also discusses a thing called "retrodiction" which is about looking back into the past and being able to say that a particle had an particular position AND momentum. See what I mean about it getting murky? I've tried asking questions about retrodiction here and not got much luck, so I still don't know whether it is a real thing or not! If you ever find out about it let me know! By the way, one of the posters impugns your statement of the HUP. What you state about it being inherently impossible to simultaneously establish the momentum and position of an electron is correct, but it's not actually what the HUP "states", so you should be careful there (physicists insist on the right language!). As far as the photon is concerned, nobody would ever stick their neck out and state is one thing or the other. It is what it is, a photon. If you do experiments measuring wave phenomna on it you will find it behaving like a wave; if you do paricle-type experiments on it you will find it acting like a particle. You won't be able to win. It's not a good idea to try and nail it down. Well, I probably haven't been very helpful, except by making you aware that you are wandering a minefield. I reckon you could study this stuff for years and still not know what's going on. By the way, things don't get any easier when you start looking at things like entanglement and Bells' theorem. Good luck, David. -- Posted via Mailgate.ORG Server - http://www.Mailgate.ORG |
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#6
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"David Macmanus" wrote in message news:0f87c2d8c9b188f18fbeb9b64291cf47.35661@mygat e.mailgate.org...
"Iconoclast" wrote in message As a layperson, I am struggling with "Causality", maybe someone has an answer for me. The Uncertainty Principle postulates that it is inherently impossible to simultaneously establish the momentum and position of an electron. Is it also inherently impossible to determine if a photon exhibits as a particle or as a wave? Or can it be both at the same time. This is a bit of a can of worms you're going into here. It's very murky, and it's difficult to get ot the bottom of it. Even the Heisenberg Uncertainty principle is more complex than it first seems. Also, things like the HUP have been discussed ad infinitum here so people aren't that enthused about discussing it again. I've poked around at trying to understand the whole thing a bit better, with not a lot of success. One book you might try is "The Infamous Boundary: Seven Decades of Heresy in Quantum Physics D. Wick ". Here you can find out about the different ways of stating the HUP. It tries to explain the difference between the Uncertainty Principle and the indeterminacy principle, for example. It also looks at the gamma ray microscope experiment which is basically an experiment for trying to gather information about some particle or other - essentially the problem is that when you try to 'measure' the particle's position, you disturb it so everything becomes spoiled. There are some on this newsgroup who will castigate you for even mentioning this experiment because it is not really in the spirit of the HUP. The HUP is typically stated in terms of "inherent" uncertainty, whereas the gamma ray microscope is about dfisturbance caused by measuring. There is a difference! Finding discussions of this difference is not so easy. Wick's book also discusses a thing called "retrodiction" which is about looking back into the past and being able to say that a particle had an particular position AND momentum. See what I mean about it getting murky? I've tried asking questions about retrodiction here and not got much luck, so I still don't know whether it is a real thing or not! If you ever find out about it let me know! By the way, one of the posters impugns your statement of the HUP. What you state about it being inherently impossible to simultaneously establish the momentum and position of an electron is correct, but it's not actually what the HUP "states", so you should be careful there (physicists insist on the right language!). As far as the photon is concerned, nobody would ever stick their neck out and state is one thing or the other. It is what it is, a photon. If you do experiments measuring wave phenomna on it you will find it behaving like a wave; if you do paricle-type experiments on it you will find it acting like a particle. You won't be able to win. It's not a good idea to try and nail it down. Well, I probably haven't been very helpful, except by making you aware that you are wandering a minefield. I reckon you could study this stuff for years and still not know what's going on. By the way, things don't get any easier when you start looking at things like entanglement and Bells' theorem. Good luck, David. John Bell's Inequalities I am having ahard time of it, that if energy is considered and let us say strings as a basis( a energy value)as a particle description, then would we not say that position and momentum are calcuable? Sol |
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#7
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Somewhat off topic but hopefully appreciated:
In signal analysis, the HUP must also not be taken a gospel. Having thoroughly dealt with causality, the natural zero of time and an adequate integral transform, I managed to avoid the notorious trade-off between spectral and temporal resolution of spectrogram. Even our ears do not obey the HUP. Eckard Blumschein |
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