CATEGORY:
FQXi Essay Contest - Spring, 2012
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TOPIC:
The Assumption of a Perfectly Measurable Space-Time, the Measurement Problem in Quantum Mechanics and the Nature of Physical Laws by Rodolfo Gambini and Jorge Pullin
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Author Jorge Pullin wrote on Jul. 3, 2012 @ 11:34 GMT
Essay AbstractThe history of physics shows us that even when we have the correct physical theories at hand, it takes time to realize their most profound implications. Frequently, this is because theories that imply a new paradigm in physics are initially formulated in terms of quantities and assumptions that predate the paradigm. This obscures the true meaning of the theory in question. An example is Maxwell's electromagnetism: it is a Lorentz-invariant theory but such feature was not noticed by Maxwell, since he cast it in terms of non-invariant concepts. We argue that we face a similar situation in quantum mechanics. The theory is ordinarily formulated in terms of a classical background space and time that one assumes can be measured with infinite precision. When one takes into account that space and time have to be described as quantum entities, with fundamental limitations in their measurement, apparent conceptual problems in the quantum theory, as the measurement problem, disappear. One ends up with a quantum mechanics that is complete and does not require an external classical reality for its existence. A complete quantum theory in turn leads us to revise long held assumptions about the nature of physical laws. It naturally takes us to the position emphasized by regularist philosophers for years: physical laws derive their truth from actual relations within the world, they express only what does occur. They refer to the effects that some systems may have on others and not to what must occur in absolute, non-relational ways. Due to the probabilistic nature of the theory another assumption to be revised concerns the ``closure'' of physics: the laws of physics do not dictate everything that happens in the natural world. In turn this may have implications in many other philosophical issues, like for instance, the mind/body problem.
Author BioJorge Pullin is the Horace Hearne Chair in Theoretical Physics at the Louisiana State University. He is the founding editor of Physical Review X, fellow of APS, AAAS, and member of the National Academy of Sciences of Argentina, Mexico and the Latin American Academy of Sciences. Rodolfo Gambini is Professor at the University of the Republic, fellow of APS, AAAS and member of the National Academy of Sciences of Argentina and the Latin American Academy of Sciences. He won the TWAS prize in physics and a member of the directory of the National Agency of Research and Innovation of Uruguay.
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Vijay wrote on Jul. 3, 2012 @ 17:30 GMT
"The Assumption of a Perfectly Measurable Space-Time" is an interesting topic.
It is interesting since it opens up question of communications as well. Measurement to what end. Why we want to communicate. With whom we want to communicate?
Do we want to communicate observation with other observer? Do we share the same language to un-ambiguously interpret (synthesis & analyse) each other's result.
In physical sciences, we attempt the same by use of standard units in communication. Thus all measurements are comparative in relation to a standard.
This is seen in Lorentz transformations (Special relativity) where standards of time and distance adopt themselves such that speed of light is measured as same. However, individually they do not measure identical between two observers. (When same object instead of similar object is used as standard.)
Fiction writers made a mountain out of paradoxical interpretation of Lorentz transformations, the fact remains that human intuition continue to follow and conform to our everyday life experiences on human scale of observations. The perception survives despite of blanks & gaps in knowledge.
Science attempts to fill these gaps in human perception. One such attempt is understanding the universe on simplistic view of ‘Space contains Energy'. Some others are based on elementary particles, field & action at a distance, and amalgamation of concepts by classification of human observations into different branches of knowledge.
The scale, granularity, quantization and quantitative expression by a mathematical number are next items on the list to understand the presumptions on measurements.
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Vijay Mohan Gupta wrote on Jul. 4, 2012 @ 13:41 GMT
"space and time have to be described as quantum entities"
Mr Jorge Pullin, I have quoted above from your text. To me an understanding of the above is important. Why they have to be described as quantum identities? What is a quantum entity? Do we have a contemporary disposition towards space and time have to be quantized?
In Pico-Physics www.picophysics.org; space and time are quantized due to presence of Knergy(Energy) in space. That is the reason, why space and time can acquire value from a continuous number range (Set of real numbers). The quantization of space and time, as a result of presence of Energy, is partial. So is that of Energy as well. It can also acquire a value from real number range. Only quantization of Knergy is primary. All other quantization phenomenon are secondary driven by natural quantization of Knergy.
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Anonymous wrote on Jul. 5, 2012 @ 12:03 GMT
There's a problem with the Montevideo interpretation. It has been noted that finite bounded closed systems undergo Poincare recurrences which lead to recoherence of "Schroedinger cats". The suggestion that quantum fluctuations of clocks prevent such recurrences is flawed, because the larger system including the quantum clock can still undergo Poincare recurrences.
Even if recoherence can be suppressed, decoherence still only leaves us with quasiclassicality. ok, FAPP, we get a mixed state. but interpretating a mixed quantum state as a classical probability distribution over pure states is still a huge leap which needs to be justified. Decoherence in no way solves the measurement problem by itself. It can only explain the emergence of quasiclassicality.
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Anonymous replied on Jul. 8, 2012 @ 19:25 GMT
Dear Anonymous,
The clock could undergo revivals only from the point of view of
an external observer endowed with an ideal clock. Otherwise the observer
will see loss of coherence and no revivals. Since no ideal clocks exist,
this issue does not really arise. What is relevant is how an object evolves
respect to other objects in the universe. Such relational evolution always
exhibits loss of coherence due to the physical limitations that clocks and
any physical system will have to keep perfectly correlated with an ideal time.
As for the second point, as explained in the essay, decoherence supplemented
by the fundamental limitations in measurement produces a true mixed state,
not only FAPP. Therefore the "huge leap" is no more. If you
want more technical details on this point please see,
Undecidability as solution to the problem of measurement: Fundamental criterion for the production of events.
Rodolfo Gambini, Luis Pedro Garcia-Pintos (Republica U., Montevideo), Jorge Pullin (Louisiana State U.). Sep 2010. 10 pp.
Published in Int.J.Mod.Phys. D20 (2011) 909-918
http://inspirehep.net/record/868882?ln=en
Best wishes
Rodolfo & Jorge
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Anonymous replied on Jul. 10, 2012 @ 09:48 GMT
The huge leap doesn't refer to getting a mixed quantum state. It refers to the reinterpretation of a mixed state obtained through some other means as a classical probability distribution over pure states. For starters, one has to deal with the "preferred basis" problem. There is no unique basis for decomposition. Zurek had shown without any coupling with an external environment --- and a closed universe has no external environment --- there can be no preferred basis.
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T H Ray replied on Jul. 11, 2012 @ 01:34 GMT
I find myself agreeing with both the anonymous correspondent, and with Rodolfo and Jorge -- I think the reconciling of the two views is in the reduction of relativity to random motion (I explain the mechanics of this counterintuitive notion in my essay, "The Perfect First Question.")
It agrees in general with Gambini-Pullin evolution.
Thoroughly enjoyable essay! -- thanks.
Tom
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Edwin Eugene Klingman wrote on Jul. 9, 2012 @ 00:25 GMT
Your 'black hole argument' [elsewhere] seems to imply the absolute impossibility of perfectly precise measurements of space-time, so a question is how to handle this measurement problem mathematically. One answer is to discretize space and time, but the Integral experiment may indicate this is unrealistic and it is certainly mathematically ugly.
One possibility is presented in my essay
The Nature of the Wave Function in which a quantum condition and gravitational [weak field] condition are combined to yield a "wave function conservation" relation that assumes continuous space-time but quantized quantum states.
This provides another way to address the anonymous complaint that a 'huge leap' is necessary for interpreting a mixed quantum state as a classical probability distribution over pure states, and offers a realistic interpretation in that it does not require a reduction postulate or "collapse of the wave function".
So on a superficial level our realistic theories may have non-trivial aspects in common. I am unsure how to interpret your statement that "events occur as a result of free random choices of the systems." I don't know if this plays into your ideas of mind/body since it is unclear to me exactly who or what is "choosing".
Edwin Eugene Klingman
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Lawrence B. Crowell wrote on Jul. 10, 2012 @ 17:53 GMT
Time in relativity and quantum mechanics are completely different. The difference between them amounts to an obstruction.
Relativity defines time as an invariant. The clock on some path in spacetime counts off time in discrete equal intervals that count a proper time that measures the length of the spacetime path. For a particle in a general motion, say some wiggly path which is...
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Time in relativity and quantum mechanics are completely different. The difference between them amounts to an obstruction.
Relativity defines time as an invariant. The clock on some path in spacetime counts off time in discrete equal intervals that count a proper time that measures the length of the spacetime path. For a particle in a general motion, say some wiggly path which is contained in a light cone at every point, the proper time is a sum over infinitesimal elements
ds^2 = (cdt)^2 – dx^2 – dy^2 – dz^2
and the proper time is a sum or integration over all these infinitesimal elements along the path
s = ∫ds.
It is important to recognize this as the real definition of time. The notion of time in the coordinate representation, what we call t, is a coordinate representation and not a physically invariant notion of time. One can transform to another coordinate frame with a different definition of this coordinate time, call it t’, but the invariant interval = proper time s or ds is invariant. The coordinate time t is then just a label one imposes on spacetime, which spacetime ultimately does not care about; it is just our invention.
We will return to this, but now I discuss the meaning of time in quantum field theory. Quantum mechanics is a theory of waves which obey a differential equation for a wave. The scalar relativistic wave equation comes from the invariant momentum interval
(mc^2)^2 = E^2 - (pc)^2,
for a particle of mass m with momentum p and energy E. This is a momentum-energy version of the space plus time invariant interval or proper time above. Here the mass of the particle m is the invariant. The duality between spatial and momentum variables is a cornerstone of classical mechanics and Fourier transforms in wave mechanics. I will from now on set c = 1. The quantization procedure is to define the momentum and energy as the operators
p = -iħ∇ = -iħ(i∂_x + j∂_y + k∂_z)
E = -iħ∂_t
for ħ the Planck unit of action (which I now set to one). These operators act on a wave function ψ = ψ(r, t) and the differential wave equation is
(∇^2 - ∂_t^2)ψ = m^2ψ.
We now just consider this wave equation. It is set up with some initial field configuration, eg initial data, which is established on some spatial surface of three dimensions. This means that one must fix a time, or time slice, according to the coordinate time where one fixes initial data. The subsequent evolution of the wave is according to this variable t, seen in the differential part ∂_t in the wave equation above. This means we have evolution of quantum waves, which are determined in a second quantization procedure by quantum field, according to a coordinate time --- not the invariant proper time of relativity. The quantum concept of time then demands some time slicing of spacetime or coordinate condition, which is not a fundamental observable in relativity.
The clock measures proper time by traveling on a spacetime path marks off time according to some mechanism. We think of the clock as being a real clock, with gears, springs or some atomic system, maybe vibrating nuclei, cavorting quarks etc, which obeys some set of physical rules. Let us not think of the clock as some mathematical idealization, but as some sort of physical contrivance. The clock then functions according to some physics, such as the quantum field theory above. This is particularly the case if the clock is some sort of atomic clock or that depends upon some quantum periodicity. Consequently the proper time in physical relativity is not purely a mathematical idealization used in relativity theory.
The infinitesimal proper time parameterized by some arbitrary λ is such that
∫ds = ∫(ds/dλ)dλ
so that L = ds/dλ is a Lagrangian. We know from classical mechanics the Lagrangian may be written according to a Hamiltonian so that
Ldλ = π^{ij}dg_{ij} – Hdλ,
where the Hamiltonian H = H(π, g, ψ, ∂_iψ) is a function of the metric and some quantum field. This is the constraint which fixes the action on a contact manifold of solution. The π^{ij} is a momentum conjugate of the metric of space. This then runs into further problems if the wave function(al) is dependent on the metric. This Hamiltonian acts on the wave function(al) HΨ[g, ψ] = 0 with no time reference. The quantum mechanics prevents any use of a particular time slice necessary for quantum field theory.
The two concepts of time are intertwined in some manner, but as yet there are fundamental obstructions which prevent a consistent description..
Cheers LC
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Pentcho Valev replied on Jul. 10, 2012 @ 19:06 GMT
Lawrence B. Crowell wrote: "Time in relativity and quantum mechanics are completely different. The difference between them amounts to an obstruction."
The relativistic time is an artifact generated by the false assumption that the speed of light is independent of the speed of the light source:
http://www.amazon.com/Relativity-Its-Roots-Banesh-Hof
fmann/dp/0486406768
Relativity and Its Roots, Banesh Hoffmann: "Moreover, if light consists of particles, as Einstein had suggested in his paper submitted just thirteen weeks before this one, the second principle seems absurd: A stone thrown from a speeding train can do far more damage than one thrown from a train at rest; the speed of the particle is not independent of the motion of the object emitting it. And if we take light to consist of particles and assume that these particles obey Newton's laws, they will conform to Newtonian relativity and thus automatically account for the null result of the Michelson-Morley experiment without recourse to contracting lengths, local time, or Lorentz transformations. Yet, as we have seen, Einstein resisted the temptation to account for the null result in terms of particles of light and simple, familiar Newtonian ideas, and introduced as his second postulate something that was more or less obvious when thought of in terms of waves in an ether."
Pentcho Valev pvalev@yahoo.com
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Lawrence B. Crowell replied on Jul. 11, 2012 @ 12:35 GMT
For anyone familiar with real physics this prosaic example of throwing a projectile from a moving train is easily understood and refuted as an argument against the invariance of the speed of light. I am not sure it is worth the time and ergs of energy writing away to give that argument. BTW, there is a relativistic velocity addition formula.
LC
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Pentcho Valev replied on Jul. 11, 2012 @ 15:15 GMT
I am not sure you understand Banesh Hoffmann's text. He just suggests that, without recourse to contracting lengths etc., the Michelson-Morley experiment unequivocally confirms the assumption that the speed of light VARIES with the speed of the light source, and refutes the assumption that the speed of light is independent of the speed of the light source. See also:
http://www.pitt.edu/~jdnorton/papers/companion.doc
John Norton: "These efforts were long misled by an exaggeration of the importance of one experiment, the Michelson-Morley experiment, even though Einstein later had trouble recalling if he even knew of the experiment prior to his 1905 paper. This one experiment, in isolation, has little force. Its null result happened to be fully compatible with Newton's own emission theory of light. Located in the context of late 19th century electrodynamics when ether-based, wave theories of light predominated, however, it presented a serious problem that exercised the greatest theoretician of the day."
http://philsci-archive.pitt.edu/1743/2/Norton.pdf
John Norton: "In addition to his work as editor of the Einstein papers in finding source material, Stachel assembled the many small clues that reveal Einstein's serious consideration of an emission theory of light; and he gave us the crucial insight that Einstein regarded the Michelson-Morley experiment as evidence for the principle of relativity, whereas later writers almost universally use it as support for the light postulate of special relativity. Even today, this point needs emphasis. The Michelson-Morley experiment is fully compatible with an emission theory of light that CONTRADICTS THE LIGHT POSTULATE."
Pentcho Valev pvalev@yahoo.com
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Lawrence B. Crowell replied on Jul. 12, 2012 @ 15:20 GMT
This relies upon Ritz theories, which is dead physics. The one problem with dead physics these days is later generations resurrect it and we now have this zombie invasion of undead physics. I utterly fail to understand why people want to do this, but it is quite popular these days.
Feynman probably had the best advise for this.
Cheers LC
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Pentcho Valev replied on Jul. 12, 2012 @ 16:29 GMT
You still don't understand Banesh Hoffmann's and John Norton's texts do you?
Pentcho Valev pvalev@yahoo.com
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Lawrence B. Crowell replied on Jul. 13, 2012 @ 12:57 GMT
I understand it enough to know they are BS.
LC
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Pentcho Valev replied on Jul. 13, 2012 @ 13:47 GMT
Hoffmann's (and Norton's) claim that the Michelson-Morley experiment is compatible with the variable speed of light predicted by Newton's emission theory is wrong? Is that what you mean?
Pentcho Valev pvalev@yahoo.com
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Lawrence B. Crowell replied on Jul. 13, 2012 @ 14:08 GMT
argument victory Two guys who base this on nonsense, vs tens of thousands of other results by many thousands of people over decades which point in the other direction. Sorry, but this is zombie physics, along with electric universe ideas based on Arp’s stuff, steady state universe, aether mechanics, and increasingly the rise of geocentric models. This is a part of the whole zombie invasion of undead science, from creationism to neo-Lamarkian theory, to local hidden variables.
And we think zombie invasions are only in movies and pulp fiction books!
Cheers LC
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Pentcho Valev replied on Jul. 13, 2012 @ 15:59 GMT
According to Lawrence Crowell, this is not zombie physics:
http://www.amazon.com/Faster-Than-Speed-Light-Specul
ation/dp/0738205257
Faster Than the Speed of Light, Joao Magueijo: "A missile fired from a plane moves faster than one fired from the ground because the plane's speed adds to the missile's speed. If I throw something forward on a moving train, its speed with respect to the platform is the speed of that object plus that of the train. You might think that the same should happen to light: Light flashed from a train should travel faster. However, what the Michelson-Morley experiments showed was that this was not the case: Light always moves stubbornly at the same speed. This means that if I take a light ray and ask several observers moving with respect to each other to measure the speed of this light ray, they will all agree on the same apparent speed!"
According to Lawrence Crowell, this is zombie physics par excellence:
http://www.amazon.com/Relativity-Its-Roots-Banesh
-Hoffmann/dp/0486406768
Relativity and Its Roots, Banesh Hoffmann: "Moreover, if light consists of particles, as Einstein had suggested in his paper submitted just thirteen weeks before this one, the second principle seems absurd: A stone thrown from a speeding train can do far more damage than one thrown from a train at rest; the speed of the particle is not independent of the motion of the object emitting it. And if we take light to consist of particles and assume that these particles obey Newton's laws, they will conform to Newtonian relativity and thus automatically account for the null result of the Michelson-Morley experiment without recourse to contracting lengths, local time, or Lorentz transformations. Yet, as we have seen, Einstein resisted the temptation to account for the null result in terms of particles of light and simple, familiar Newtonian ideas, and introduced as his second postulate something that was more or less obvious when thought of in terms of waves in an ether."
Pentcho Valev pvalev@yahoo.com
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Lawrence B. Crowell replied on Jul. 13, 2012 @ 21:31 GMT
Joao Magueijo's work and so called double relativity is an hypothesis about the speed of light near the Planck scale. I will be honest and say that for various reasons I regard this as suspect. This is not zombie physics, for as yet the theory has not been killed. If it is killed and people keep holding it up as true it would then become undead --- zombie science.
I can't say about the second book. I am not clear whether the authors say light speed varies, or if that is your interpretation of it.
LC
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Pentcho Valev replied on Jul. 13, 2012 @ 22:32 GMT
You don't understand anything again. Joao Magueijo claims that the Michelson-Morley experiment REFUTED the assumption that the speed of light varies with the speed of the light source. Banesh Hoffmann claims the MM experiment was COMPATIBLE with that assumption.
Since you did not even see the contradiction, I am not asking you to be the judge.
Pentcho Valev pvalev@yahoo.com
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Lareence B. Crowell replied on Jul. 14, 2012 @ 00:41 GMT
I thought you put Magueijo's statement because of his double relativity hypothesis. Which ever is the case, I really don't care. The constancy of the speed of light has been demonstrated numerous different ways.
LC
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Pentcho Valev replied on Jul. 14, 2012 @ 13:44 GMT
So you couldn't care less whether or not the Michelson-Morley experiment confirmed the variable speed of light predicted by Newton's emission theory of light?
Pentcho Valev pvalev@yahoo.com
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Lawrence B. Crowell replied on Jul. 14, 2012 @ 15:36 GMT
Magueijo put this into the introduction of his book (which I looked at in the page sampler on Amazon) as a way of illustrating the constancy of the speed of light and so forth, which by contrast he will then argue something different. BTW Magueijo double relativity is an idea of there being some block to Lorentz transformation for extreme γ factors and length contractions approaching the Planck length and so forth. I don’t particularly uphold the idea, and I think it is based on a dubious notion of how spacetime is constructed. His statement I agree with, even though I am skeptical of his main theory.
The Hoffman stuff I do not agree with. I am also not going to get into a detailed discussion on the Michelson-Morely experiment. This is frankly what is covered in a sophomore second semester modern physics class. I would prefer not to get into a detailed discussion on that any more than I have a desire to argue with global warming deniers or 9-11 conspiracy mongers.
LC
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Pentcho Valev replied on Jul. 14, 2012 @ 16:36 GMT
With a few exceptions (Banesh Hoffmann, John Norton, John Stachel), all Einsteinians unconditionally believe and teach that the Michelson-Morley experiment refuted the variable speed of light (c'=c+v) established in Newtonian physics. Still let us assume, for the sake of argument, that Einsteinians are wrong and the experiment in fact CONFIRMED c'=c+v. Would then the unconditional belief be a symptom of zombie science?
Pentcho Valev pvalev@yahoo.com
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Jason Wolfe wrote on Jul. 10, 2012 @ 19:20 GMT
Hi Lawrence,
I'm still writing my paper in which I will elaborate more on what I call Aether Medium Waves. There is a frequency spectrum from radio waves up to gamma rays. There exists a range of frequencies that exist everywhere in the universe. So I propose the existence of a medium made of aether waves that travel relative to the equation,
The vacuum of space is filled with cycles of EM waves across the full spectrum. Between any two points in space, there exists an infinite set of wavelengths and frequencies that equal the speed of light. I'm going for the idea that aether medium waves are a continuum of EM cycles, from very small to very large.
Every cycle has a wavelength (to measure distance) and a frequency (to measure time). A continuum of frequencies, from radio to gamma, becomes the progression of time. One atomic clock keeps time very accurately; but an infinite number of EM frequencies IS the progression of time.
Distance exists because there is an infinite set of wavelengths, from radio wave wavelengths to gamma ray wavelengths, between any two points in space.
Aether medium waves extend throughout the universe with an infinite number of cycles at each frequency.
Quantum mechanics is emergent because the fabric of space-time is made of EM wave cycles.
Does any of this make sense? Can a medium made out of EM cycles (wavelengths/periods) resolve the obstruction between QM and GR?
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Jason Wolfe replied on Jul. 10, 2012 @ 19:36 GMT
Hi Lawrence,
In other words, aether medium waves are ontological and are a real phenomena of nature. Wave functions and quantum systems are a description of aether medium waves. AM waves can be more complicated and less wave-like (e.g. clove, dumbell and sphere shapes in the case of hydrogen atom wave-functions). Strong and weak forces are built into aether waves. All particles: quarks, leptons, hadrons, mesons, every kind of particle has aether waves passing through them. Aether waves are the vacuum of space and the fabric of spacetime.
Does that help clarify AM waves?
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Lawrence B. Crowell replied on Jul. 11, 2012 @ 12:37 GMT
The quantum vacuum is filled with virtual photons. The Heisenberg uncertainty principle ΔpΔx = ħ/2 holds for the minimal electric and magnetic fields
E_0(ω) = sqrt{ħω/2Vε}, B_0(ω) = sqrt{ħVε/2ω}
with E_0(ω)B_0(ω) = ħ/2. Here ω is the frequency of the field-wave, ε is the electric permittivity of the vacuum and V is a volume used in this box normalization. E_0(ω) and B_0(ω) are the fluctuations in the electric and magnetic field at a particular frequency for that field-wave. As a result the vacuum is filled with virtual electromagnetic waves. Consequently physics today already has some of the physics you propose. However, a study of quantum mechanics and QED will reveal how to understand this properly.
Cheers LC
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Jason Wolfe replied on Jul. 11, 2012 @ 17:03 GMT
I think there is a whole new way to interpret QED and QM that nobody has ever really considered. I got the idea from the frequency of cesium which is used in atomic clocks; 9,192,631,770 Hz.
What do you call the EM frequency 9,192,631,770 Hz? Answer: a very accurate clock.
What do you call the entire EM frequency spectrum? Answer: the flow of time. I think this is the fundamental mechanism of time. Too bad I didn't have that answer for the essay contest in 2008, the nature of time. If this is so, then every phenomena of the physical universe is built upon the EM spectrum (it's a bit more complicated).
What about strong interaction and color force? Answer: I propose that an ontological object called an aether medium wave exists as a natural phenomenon. AM waves are a vast frequency spectrum; AM waves travel at c relative to their own existence as a group of frequency/wavelength pairs that always equal c. These waves must have some higher dimensional superstring characteristics that resulted in baryons, mesons, quarks and leptons at the moment of the big bang.
Molecules have chemical bonds with various energies; those energies are frequencies. Hydrogen atoms have energy levels, photons emit and absorb between energy levels. Blackbody radiation s the emission of EM radiation across a range of frequencies. I believe that quantum particles are a specific collection of frequencies and have a frequency fingerprint. If this is so, then every one of those frequencies is the particle's internal clock (clocks).
If particles really do have a frequency fingerprint, then quantum particles establish their own inertial frame as a collection of frequencies.
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Jason Wolfe replied on Jul. 11, 2012 @ 20:14 GMT
A wave function is a probability amplitude for a quantum system. A wave-function will tell you, on average, the particle's (specifically a photon) position and momentum.
What do you called 20 million photons traveling in some predictable way? Answer: a wave function. Or rather, an aether medium wave that can be described by a wave-function.
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Lawrence B. Crowell replied on Jul. 12, 2012 @ 15:25 GMT
I can say that with my considerable familiarity with physics that you will have difficulty gaining traction with this. However, good luck.
Cheers LC
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Jason Wolfe replied on Jul. 12, 2012 @ 16:20 GMT
Lawrence, I value your opinion very highly. EM frequency is observable. Man uses one frequency to keep accurate time (atomic clocks). Nature uses the whole frequency spectrum as the progression of time. Thus time is simply the range of EM frequencies experienced by the quantum system, nothing more, nothing less. Are you saying that this idea will have trouble gaining traction?
Thanks,
Jason Wolfe
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Lawrence B. Crowell replied on Jul. 12, 2012 @ 22:59 GMT
Remember that time and frequency are complementary, or Fourier transforms of each other. That is if anything a crucial part of anything of this nature.
Cheers LC
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Jason Wolfe replied on Jul. 12, 2012 @ 23:30 GMT
Yes, I absolutely agree. AM waves are ontological objects that implement the laws of physics starting with the electromagnetic spectrum. This might be hard to grasp, but think of the void of space being carpeted with cycles of electromagnetic waves waves that obey
To anyone trained in highschool geometry, a cycle is just 360 degrees, it's a circle.
To AM waves, cycles are things that fill space with permitivity, permeability, and other characteristics of light.
Time (frequency) and space (wavelength) are emergent and are endowed with universal constants like c, h, and G.
Is it too abstract?
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Jason Wolfe replied on Jul. 13, 2012 @ 01:43 GMT
Dear Lawrence,
Here is another way of arguing that an aether exists.
The universe exists. You and I exist. If you doubt your own existence, take off your shoe and go stub your toe. Nothing can hurt like that but not exist. Mathematics describes the behaviour of things that obey mathematics (whether they exist or not). But mathematics does not cause things to exist. It only describes things.
The luminiferous aether, whatever that is, causes light to exist. It's very definition is that it bears light (which means that it causes light exist). But what is aether? It's not cogs or wheels, it's not electric charges, it's not a particulate gas. Whatever it is, it behaves mathematically. It behaves like quantum mechanics. It behaves like general relativity. It behaves like time, it behaves like space/distance, it behaves like energy and momentum. There is only one thing that behaves like all of these things. It's electromagnetic waves. Look at an EM cycle. It has wavelength, frequency/period, energy E=hf (for one photon), it has momentum, it has a vector qualities.
You wanted a better argument for why EM frequencies lead to "the progression of time". Here is my answer. All quantum particles are filled with EM frequencies. Each particle has a frequency signature. How do I know this? I'm extrapolating. Chemical bonds have frequencies. Hydrogen atom has absorption/emission spectra. Particle-antiparticle annihilation gives you gamma rays. The chemical bond of a sugar molecule (any molecule) has a very specific spectral signature. Atoms of a very specific spectral signature. I believe the standard model particles have a very specific spectral signature as well. If that is true, then every particle has multiple clocks built into it called EM frequencies. Those frequencies establish the progression of time for that particle. The combined frequencies establish a pace of time; the combined particles establish a reference frame.
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Anton W.M. Biermans wrote on Jul. 30, 2012 @ 02:56 GMT
Jorge, Rodolfo,
What strikes me in all contest essays, in all physics textbooks is the (unwitting) assumption that we can imagine to look at the universe from a vantage post outside of it. We talk about the universe as if it can have certain properties as a whole, be in this or that state even though there's nothing outside of it with respect to which it can have any property, size or age.
If we assume that we live in a universe which creates itself out of nothing, without any outside intervention, then we may expect the creation of fundamental particles and the objects they form, their properties and the physical laws ruling their behavior to proceed in a trial-and-error process: what works survives, so I reject both the regularist and necessarian view.
If in a self-creating universe particles have to create themselves, each other, then particles and particle properties must be as much the product as the cause of their interactions, of fields and forces.
As I discuss in my essay (Einstein's Error), in such universe the measurement or observation interaction obviously affects the observed.
Anton
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Steve Dufourny wrote on Aug. 25, 2012 @ 10:52 GMT
Hello Mr Pullin and Mr Gambili
It is very relevant considering the mind body probelm.
you say " If they cannot distinguish between the state and a statistical mixture we say that an event has taken place."
Could you develop please. I beleive that the most important is to differenciate the bosons and the fermions and also differenciate the physical sphere and the infinite light...
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Hello Mr Pullin and Mr Gambili
It is very relevant considering the mind body probelm.
you say " If they cannot distinguish between the state and a statistical mixture we say that an event has taken place."
Could you develop please. I beleive that the most important is to differenciate the bosons and the fermions and also differenciate the physical sphere and the infinite light above our walls. If the events are rational , so the informations bosonc and fermionic also. Now we must consider the central spheres inside our physicality.I beleive that the secrets are there. Now the volumes of the serie of uniqueness become so important. We can differenciate the statistical mixture and the natural state due to the encoding of informations. I beleive that the SR sometimes is just for our Stars simply.If the velocities are correlated with volumes, so it is very relevant.More a sense of rotation differenciating the fermions and bosons.So it implies a classment, necessary, of the volumes of the serie of uniquenss.So it exists others steps , so others kinds of informations from the more important volumes of the mass. It is intriguing consideri,g that these bosonic informations are inside the physicality and in the same time linked with the infinite light due to central main spheres ! But can we name them bosonic? I don't think or paradoxically so. The body mind probelm is not a probelm when all is unified in a pure spherization. The gauge is simple and complex. an infinite light without physicality created a physical sphere in evolution.The spheres of light create the spheres of mass !!! The singularities and the SINGULARITY builds.The quantum spheres of light build the quantum spheres of mass inside a beauitiful sphere with all its interinsic cosmological spheres turning around the main central sphere.See that all singularities are linked with this infinite light. The SR is probably just for the perception of galaxies.So due to stars.We cannot pass c with a bosons, but why not with a fermions or these others volumes of stability? Let's name it the spherons :)the volumes are so complex!
The mind body probelm is unified....spherization :) the infinite light builds the ternal physical sphere....
eureka :) we are all spheres of light in optimization spherization.
ps your essay is very relevant, good luck in this contest.
Regards
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Member Benjamin F. Dribus wrote on Sep. 3, 2012 @ 23:28 GMT
Dr. Pullin and Dr. Gambini,
First, I really enjoyed your essay. I read a draft of your LQG book a couple of years ago and find your point of view enlightening. It is particularly nice to see an approach to QM with a view toward quantum gravity simultaneously shed light on the measurement problem. I do have a few questions, however.
1. Your principal point seems to be that to...
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Dr. Pullin and Dr. Gambini,
First, I really enjoyed your essay. I read a draft of your LQG book a couple of years ago and find your point of view enlightening. It is particularly nice to see an approach to QM with a view toward quantum gravity simultaneously shed light on the measurement problem. I do have a few questions, however.
1. Your principal point seems to be that to solve the measurement problem, “decoherence is not enough, but decoherence together with background independence is enough.” However, I am not quite sure how you distinguish between background independence and covariance, and hence whether it is background independence itself, or more specifically the types of background-independent structures that arise in certain models of quantum gravity that supply the missing pieces. To be clear, I understand background independence in very general terms to be about the dynamical character of what we call spacetime, and I understand covariance to be about the absence of privileged observers. I explain this more adequately in my essay:
On the Foundational Assumptions of Modern Physics It may be that you are defining things differently, but I would like to know for certain.
2. You characterize physical law as describing what does happen rather than prescribing what must happen, and so far I agree. However, there is the middle ground of what MAY happen, and here I think there is some subtlety. On the one hand, I have long believed that the way in which the metric is viewed as governing the scope of causality in relativity puts the cart before the horse; surely the future of an event ought to be considered the set of events it actually influences, rather than the set of events it “may” influence according to the geometry. On the other hand, it does seem reasonable (and even inevitable) to place limits on what is deemed possible; for instance, in Feynman’s sum-over-histories method, one must decide which paths, geometries, spin networks, triangulations, causal sets, or whatever, to sum over, and this implicitly limits what “may” happen. Would you agree that physical laws may reasonably be accorded “veto power” in this sense?
3. A matter of terminology: I assume that your description of the Copenhagen interpretation as involving state reduction from superpositions to “statistical mixtures” rather than to particular eigenstates is just a way of talking about the density matrix?
4. As far as I can tell, your “Montevideo interpretation” of QM seems to be described in terms of Hilbert spaces and operators, rather than sums-over-histories. Is this merely a matter of convenience, or is there a problem with the sum-over-histories method in this context?
Take care,
Ben Dribus
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Yuri Danoyan wrote on Sep. 6, 2012 @ 14:59 GMT
Jorge,
God's great book of Nature have been seen by Parmenides.
Read please my essay http://fqxi.org/community/forum/topic/1413
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Yuri Danoyan replied on Sep. 25, 2012 @ 04:10 GMT
See also my essay about reconciliation between science an religion.
http://fqxi.org/community/forum/topic/1413
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hoang cao hai wrote on Sep. 26, 2012 @ 02:13 GMT
Dear Rodolfo Gambini and Jorge Pullin
The two do you think: when we try to measure to determine for it,then has created the opportunity for "subatomic" was born thanks the development of technology.
That is, when more technology grows, we will find many kinds of particles smaller than "sub-atomic", but it certainly is not smaller particles "smallest and can not be divided" - (news from CERN: "identified seeds is like Higg boson, but lighter?") - if speed collisions to the "c squared" do not know "protrude" how many kinds of particles? seed would be "ultra low Higg" and will arise ....
Therefore we are "running around" the truth.
Kind Regards !
Hải.Caohoàng of THE INCORRECT ASSUMPTIONS AND A CORRECT THEORY
August 23, 2012 - 11:51 GMT on this essay contest.
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Wilhelmus de Wilde wrote on Oct. 3, 2012 @ 16:00 GMT
Dear Sirs,
I read with very much attention your well structured essay, after that Benjamin Dribus indicated your point of view in my thread.
There are several points that intrigued me :
1. "Revival of an event is almost impossible". fully agreed, the chance is in our causal universe one to infinite is my opinion, because we will never be in the same refernces and coordinates. However in my perception (that has no paralels with your "Montevideo Interpretation" the "event" can be "revived" by our causal consciousnes when "touching" the "alpha-probability" in Total Simultaneity , see
"THE CONSCIOUSNESS CONNECTION" for more details.
2.You do not accept in fact the "collapse" of the wave function, you just accept "events" independent of an observer, if I understood your text well.
In my perception, I accept von Neumann and even go further. In my perception the events were all in the past and it is our memory that creates "reality", this reality is for every individual represented by his "Subjective Simultaneity Sphere", all these spheres together are the origin of "decohernce".
3. Events are the cause of "sensations", sensations are the essence of our reality experience, our awareness.
I hope that you can take some time to read a different perception of "reality", and await your eventual rate and or comment(s).
best regards
Wilhelmus
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Sergey G Fedosin wrote on Oct. 4, 2012 @ 09:03 GMT
If you do not understand why your rating dropped down. As I found ratings in the contest are calculated in the next way. Suppose your rating is
and
was the quantity of people which gave you ratings. Then you have
of points. After it anyone give you
of points so you have
of points and
is the common quantity of the people which gave you ratings. At the same time you will have
of points. From here, if you want to be R2 > R1 there must be:
or
or
In other words if you want to increase rating of anyone you must give him more points
then the participant`s rating
was at the moment you rated him. From here it is seen that in the contest are special rules for ratings. And from here there are misunderstanding of some participants what is happened with their ratings. Moreover since community ratings are hided some participants do not sure how increase ratings of others and gives them maximum 10 points. But in the case the scale from 1 to 10 of points do not work, and some essays are overestimated and some essays are drop down. In my opinion it is a bad problem with this Contest rating process. I hope the FQXI community will change the rating process.
Sergey Fedosin
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