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FQXi Essay Contest - Spring, 2017
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When Canonical Quantization Fails, Here is How to Fix It by John Rider Klauder
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Author John Rider Klauder wrote on Dec. 21, 2017 @ 21:02 GMT
Essay AbstractFollowing Dirac [1], the rules of canonical quantization include classical and quantum contact transformations of classical and quan- tum phase space variables. While arbitrary classical canonical coor- dinate transformations exist that is not the case for some analogous quantum canonical coordinate transformations. This failure is due to the rigid connection of quantum variables arising by promoting the corresponding classical variable from a c-number to a q-number. A different relationship of c-numbers and q-numbers in the procedures of Enhanced Quantization [2] shows the compatibility of all quantum operators with all classical canonical coordinate transformations.
Author BioEmployed as Member of Technical Staff, AT&T Bell Laboratories, for 35 years, and Professor, University of Florida, for 22 years. Head, Theoretical Physics Research Department, 1966-1967 and 1969-1971. Head, Solid State Spectroscopy Research Department, 1971-1976. National Science Foundation Physics Advisory Panel, 1972-1975. Consultant, Los Alamos National Laboratory, Theoretical Division, 1978-1989. Editor, Journal of Mathematical Physics, 1979-1985. Associate Secretary-General, Executive Council of International Union of Pure and Applied Physics, 1985-1990. Member Executive Committee of the International Association of Mathematical Physics, 1985-1991. President, International Association of Mathematical Physics, 1988-1991.
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Scott S Gordon wrote on Dec. 21, 2017 @ 23:21 GMT
Hi John, Your paper is an exercise in pure math and to be very straight forward, I am wondering what is being presented as "fundamental" here? Can you help us out?
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Author John Rider Klauder wrote on Dec. 22, 2017 @ 03:48 GMT
The rules of quantization are fundamental. The usual rule of the relation of a classical/quantum connection fails sometimes. It’s replacement with a new rule performs much better. That is a fundamental change.
Scott S Gordon replied on Dec. 23, 2017 @ 23:12 GMT
In this fundamental change in mathematical representation only or has the physical model changed or become more specific as to how the math comes out of a physical model? Or has the physical model remained unchanged with only the mathematical representation and notation changed? If only the mathematical notation changed, do you think that this math will bring about the answers bewildering physics such as why matter over anti-matter or dark energy, etc...
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Anthony John Garrett wrote on Dec. 22, 2017 @ 16:12 GMT
John
Does this generalised canonical quantization procedure still guarantee the unitary property? That was the main strength of canonical quantization over the more manifestly covarient path-integral formulation; is this preserved?
Anton
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Author John Rider Klauder replied on Dec. 22, 2017 @ 16:36 GMT
Anton,
Then new rule preserves all unitary properties of the old way. What is different,is the choice of the Hamiltonian operator in relation to the classical Hamiltonian, when needed. This may effect properties of the path integral formulation. In short, that basic principles are preserved, just the choice of Hamiltonian operators may change.
John
Author John Rider Klauder wrote on Dec. 24, 2017 @ 00:15 GMT
Scott
The change I propose is to the physical rule relating a classical and quantum system and not simply a change of the mathematical formalism. This change preserves the classical/quantum connection that works for some systems but provides a different result when the usual classical/quantum fails, e.g., when the classical system has a nonlinear interaction but it’s normal quantization has no nonlinear action. Such failures of the rule of quantization are unwelcome and the new rule provides an acceptable solution.
I do not expect that the change I propose will directly help in understanding the inequality you mention, but it could be part of the answer.
John
John R. Cox wrote on Dec. 24, 2017 @ 21:10 GMT
Professor Klauder,
you have succeeded in getting me to follow that! I think I see your point. From the classical perspective, we might have an analytical observed momentum that falls one side or the other of a Planck value position on the real line, which might normalize (be made orthogonal) within a probable h-bar limit in real time. But in some cases, the convergence of two classical continuous functions will result in a real time window which would exceed that h-bar limit, and would nor renormalize. This of course is an analytical result, but must still be made true to the Planck value being the averaged least observable Action. And thus the metric for the Principle of Least Action being h-bar/2 in one dimension.
Did I get that correctly? Thank-you jrc
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Author John Rider Klauder wrote on Dec. 25, 2017 @ 03:55 GMT
John
What you say has some merit but it is not connected with my essay. Let me say in simple terms the basic point I wish to make. A simple classical system involves two variables a position called q and a momentum p (normally a mass m times a velocity v, so p=m v), These variables are finite real numbers with no limitations. The Hamiltonian function H represents the energy of a system and is given as a function of p and q, e.g., H= p^2 +q^4, where p^2 = p squared, etc. One can change variables by a coordinate transformation, e,g, in 2 dimensions changing Cartesian coordinates x and y into polar variables r and u (u=the Greek letter theta) by letting x=r cos(u) and y= r sin(u), etc. A similar change can be made for p and q, e.g. b=p/q^2 and c=q^3/3, That leads to H having a different form, e.g., for our example H=b^2q^4+(3c)^{4/3}. Both of these forms are correct even though they are different. By choosing the right values for b and c the Hamiltonian H has the same numerical value as it did when we used p and q. Such equalities do NOT hold for quantum operators
such as P, Q, B, and C related to p, q, b, and c. One needs a rule to choose the right classical coordinates to promote to quantum operators. The present rule is what I want to change, i.e., what is the right quantum Hamiltonian operator for a given classical Hamiltonian. The current rule sometimes leads to nonsense. That is corrected with new rule. Briefly stated, my essay offers a new and much better way to.assign a Hamiltonian operator to a classical Hamiltonian.
John R. Cox replied on Dec. 25, 2017 @ 16:06 GMT
Professor Klauder,
Thank-you very much for your time in reply, it's Christmas and I consider it a tribute that you would trouble to teach. That is truly a giving spirit.
Choosing a Hamiltonian might sound strange, as it would seem arbitrary. But not to my mind. Any physical experiment ultimately resolves to our limitation of being able to only know how a detector reacts, and we can...
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Professor Klauder,
Thank-you very much for your time in reply, it's Christmas and I consider it a tribute that you would trouble to teach. That is truly a giving spirit.
Choosing a Hamiltonian might sound strange, as it would seem arbitrary. But not to my mind. Any physical experiment ultimately resolves to our limitation of being able to only know how a detector reacts, and we can only conject on the source. In classical, the Bohr quantum leap is contentious yet we have the known atomic spectra from which Bohr, Schrodinger et.al. evolve. To promote a c number to a quantum number would mean that we are choosing to simplify to integers. And many if not most times in classicism a value goes to a mathematical singularity rather than a finite conclusion. So a c number would become skewed in transforms and a corrected canonical could be expected. Also, many times lack of rigor comes into play.
e.g. 'beam diameter' relating the intensity across a laser beam cross-section, employs an exponential root, rather than e as the base. This would violate conventions in linear algebra where the natural exponential function can only be used as the base, not the index. But it is argued that such a usage is a non-linear function. If one were to input into computation, a truncated numerical value for e, while using the full numerical value of c; results will rapidly diverge from a true function line. But if the algebraic algorithm to obtain the transcendental number's value is employed in calculation, the result for;
[c(c)^1/e] will become a finite value to only three decimal points, = 2.143^14 cm/sec
and we can see that this would be non-linear per light second on a single pole in a spherical boundary.
So a Hamiltonian expressing the point energy value of a co-ordinate in classical mechanics, can and must be compatible with its quantum number co-ordinate. I really should read more on your esteemed work in Quantum Mechanics, before making a fool of myself, here, but as with those whom I've had the pleasure to learn from on the Relativistic side, I can tell when someone knows what there talking about. And thank-you, jrc
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Lawrence B. Crowell wrote on Dec. 28, 2017 @ 13:35 GMT
I will comment more on your paper later. It is in many ways quite interesting. At this point I would tend to think that your quantization is based on conformal sympletic transformations.
Cheers LC
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Author John Rider Klauder wrote on Dec. 30, 2017 @ 01:16 GMT
LC
Please fire away!
John
Lawrence B. Crowell replied on Jan. 2, 2018 @ 22:42 GMT
I keep having trouble finding time for this. The one little point I can make is that it seem odd that one has (p,q| that acts on a state covector |ψ). I am not sure how to interpret (p,q|ψ). This little bit I am having a bit of difficulty understanding. (Note I use parentheses because carrot signs don't work in this format)
Cheers LC
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Author John Rider Klauder wrote on Jan. 2, 2018 @ 23:25 GMT
LC
I gather you are familiar with ((I have trouble with Psi) where say Q |x> = x |x> and int |x> that can be integrated or differentiated, etc. They have the property that the vectors |x> are mutually orthogonal in the form = delta(x - x’) which is zero if x=/=x’ yet integrate to 1. The important fact is they make a functional representation rather than an abstract vector like |u>..
But there can be other representations and that is what provides. The vectors |p,q> are continuously labeled which makes these representations only involve continuous functions unlike . They are NOT,mutually orthogonal, namely < p,q|p’,q’> is often never zero and this inner product is normally bounded by one, but these vectors do lead to the important relation that int |p,q>
Author John Rider Klauder wrote on Jan. 2, 2018 @ 23:34 GMT
Somehow several symbols failed to service being posted. Terms like (x|u) and (p,q|u) (I now understand the () situation).
JK
Author John Rider Klauder wrote on Jan. 3, 2018 @ 01:53 GMT
A new try to get my prior post clear
LC
I gather you are familiar with (x|u) (I have trouble with Psi) where say Q |x) = x |x) and (x|u) then can be integrated or differentiated, etc. They have the property that the vectors |x) are mutually orthogonal in the form (x|x’) = delta(x - x’) which is zero if x=/=x’ and int |x)(x| dx = 1. The important fact is they make a functional representation (x|u) rather than deal with an abstract vector like |u).
But there can be other representations and that is what (p,q|u) provides. The vectors |p,q) are continuously labeled which makes these representations only involve continuous functions unlike (x|u). They are NOT mutually orthogonal, namely (p,q|p’,q’) is often never zero and this inner product is normally bounded by one, but these vectors do lead to the important relation that int |p,q)(p,q| dp dq/2 pi = I the identity operator. In brief, (p,q|u) is just another representation of |u).
I hope this helps.
JK
Lawrence B. Crowell replied on Jan. 7, 2018 @ 14:44 GMT
It is an odd notation. To say (p,q| is then a sort of "quantum and" that is a form of logical or. It is apparently a part of the argument for (∂ψ/∂t)dt → . The total derivative
dψ = [∂ψ/∂t + (dq/dt)·∇ ψ]dt = (∂ψ/∂t)dt + (i/ħ)p·dq ψ.
If dψ/dt = 0 this gives the connection between the Lagrangian and the Schrodinger equation
iħ∂ψ/∂t - Hψ → p·dq - H = L
The Lagrangian is in configuration variables, which is a way of casting physics according to one set of variables, or in the case of QM according to position variables and momentum expressed as operators.
So there seems to be something very subtle with the notation (p, q|. This appears to point to some subtle issue of quantum logic. I am still pondering this some for there seems to be something potentially subtle or deep going on here.
My next question will involve the Wheeler DeWitt equation.
Cheers LC
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Lawrence B. Crowell replied on Jan. 7, 2018 @ 14:49 GMT
There is a problem with carrot signs, I meant to write: It is apparently a part of the argument for (∂ψ/∂t)dt → pdq
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Author John Rider Klauder wrote on Jan. 7, 2018 @ 16:22 GMT
LC
I am unclear about your comments. Like (x| spans the Hilbert space means that if (x|u) = 0 for all x means that |u) = 0, there are other state families that do the same. (p,q| for all p and all q also span Hilbert space. This implies that if (p,q|u) = 0 for all p,q, then |u) = 0. An important property about Hilbert space representations is their inner product like (u|v) = int (u|x)(x|v) dx , where “int” means “integral”. A very similar integral leads to (u|v) = int (u|p,q)(p,q|v) dp dq/2 pi h-bar. My previous relation like this one also had an h-bar, but units where h-bar = 1 were implicit. Thus these are two different functional representations, I.e., (x|v) and (p,q|v), that serve the same purpose.
The reduced action functional is given by
A = int (p(t),q(t)| [ i h-bar d/dt - £ ] |p(t),q(t)) dt = int { p(t) q-dot(t) - H(p(t),q(t)) } dt
where £ is the Hamiltonian operator. There is no need to introduce only position coordinates to build a traditional Lagrangian.
JK
Georgina Woodward wrote on Jan. 8, 2018 @ 02:23 GMT
Hi John, thank you for sharing your improvement, and for replies to comments that help explain why you have chosen to present it as an entry to the competition. As well as the function the improvement fulfills in improving the consistency the specific kinds of transformations (preventing the peculiar outcomes).
The question 'what is fundamental?' is very open. If founational is considered fundamental, and quantum physics to be the modelling of that foundation, then getting it to work consistently is fundamental to that specific area of physics attempting to model the fundamental foundation from which physics arises.
Section 1 were you talk about the desirability and problems of adding extra dimensions to phase space was interesting to me. Something for me to ponder. I wish I could understand more of the presentation but see why you have written it. Kind regards Georgina
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Author John Rider Klauder wrote on Jan. 8, 2018 @ 15:09 GMT
GW
The rules of canonical quantization fixed about 1930 are the foundation of quantization. One rule is postulated, namely the choice of Cartesian coordinates and momenta, is adopted as a necessary assumption. However, such phase space coordinates do not have a metric to choose Cartesian variables. The procedures under the heading of enhanced quantization provide a very different connection between classical and quantum variables and happily it identifies Cartesian variables to confirm their use in Quantization. The new connection permits arbitrary contact transformations which canonical quantization fails to achieve. An added bonus of the new approach not mentioned in my essay is the fact that certain models that fail to have successful canonical quantizations do have successful enhanced quantizations.
JK
Georgina Woodward replied on Jan. 11, 2018 @ 02:21 GMT
Thank you for taking the time and trouble to reply. Georgina
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Joe Fisher wrote on Jan. 15, 2018 @ 16:59 GMT
Dear Professor John R. Klauder,
My research has concluded that Nature must have devised the only permanent real structure of the Universe obtainable for the real Universe existed for millions of years before man and his finite complex informational systems ever appeared on earth. The real physical Universe consists only of one single unified VISIBLE infinite surface occurring eternally in one single infinite dimension that am always illuminated mostly by finite non-surface light.
Joe Fisher, ORCID ID 0000-0003-3988-8687. Unaffiliated
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Author John Rider Klauder wrote on Jan. 15, 2018 @ 17:17 GMT
JF
Thanks for your views. I sympathize with the idea of a single universe that can survive the time and events there in. I would include what we can see and what we can not see. If I understand you correctly, I would have difficulty in admittting only a single dimension, however, because the naked eye as well as the many telescopes offer us a three dimensional view of objects within our Universe.
JK
Joe Fisher replied on Jan. 16, 2018 @ 16:30 GMT
Dear Professor John R. Klauder,
Thank you for your courteous reply. Nobody has ever seen a ball. All observations and photographs of a ball will only ever show it to appear as a flat filled-in disk. That is why the sun, a full moon, and all of the planets always appear as flat filled in disks. Nobody has ever seen a cube. That is why photographs of the New York city skyline always appear to show squares, rectangles, and parallelograms. Nobody has ever seen a supposedly three-dimensional pyramid. Every photograph taken of the Pyramids at Giza only shows them to appear triangular.
There are no finite dimensions of length, width, depth and time. There only am one single infinite dimension.
Joe Fisher, Realist
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Anonymous wrote on Jan. 16, 2018 @ 16:27 GMT
Dear Professor John R. Klauder,
Thank you for your courteous reply. Nobody has ever seen a ball. All observations and photographs of a ball will only ever show it to appear as a flat filled-in disk. That is why the sun, a full moon, and all of the planets always appear as flat filled in disks. Nobody has ever seen a cube. That is why photographs of the New York city skyline always appear to show squares, rectangles, and parallelograms. Nobody has ever seen a supposedly three-dimensional pyramid. Every photograph taken of the Pyramids at Giza only shows them to appear triangular.
There are no finite dimensions of length, width, depth and time. There only am one single infinite dimension.
Joe Fisher, Realist
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Author John Rider Klauder wrote on Jan. 16, 2018 @ 22:55 GMT
JF
If we had only 2 dimensional pictures of a ball at a single moment of time I would support your view.
But for a ball or for a picture of you Joe we can feel the object and know it is really three dimensional. Photos at different times or even a movie are seen as 2dimensional but they may also show different photos as you, say, turn around. We accept that part of you is not visible after you turn around from a position where that part of you was visible. That is easy to understand if you are 3dimensional but not so clear if you accept only 2 dimensional views. Likewise we can see Jupiter and it’s multiple moons as moving around that planet as photos and sometimes do not show some moons that were visible in other photos taken at different times. This sight led Galileo to suggest that the planets including the Earth rotate around the Sun.
I doubt that my words will change your views, but I am just citing additional data from which one can decide what 2 dimensional information observed over time is able to provide a reasonable interpretation of what may be seen.
JK
Joe Fisher replied on Jan. 17, 2018 @ 15:51 GMT
Dear John Rider Klauder,
Please forget about finite dimensions. A picture of a ball, or a picture of me can be of infinite size. You can only touch the surface of a ball with the surface of your fingers, because I have concluded from my deep research that Nature must have devised the only permanent real structure of the Universe obtainable for the real Universe existed for millions of years before man and his finite complex informational systems ever appeared on earth. The real physical Universe consists only of one single unified VISIBLE infinite surface occurring eternally in one single infinite dimension that am always illuminated mostly by finite non-surface light.
Joe Fisher, ORCID ID 0000-0003-3988-8687. Unaffiliated
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Edwin Eugene Klingman wrote on Jan. 18, 2018 @ 00:56 GMT
Dear John Rider Klauder,
In response to a comment above, you note that "
the current rule sometimes leads to nonsense." and elsewhere,
"The usual rule of the relation of a classical/quantum connection fails sometimes."
I confess not to have followed your complete argument, however it seems to derive from Dirac's interpretation of all contact transformations in which the...
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Dear John Rider Klauder,
In response to a comment above, you note that "
the current rule sometimes leads to nonsense." and elsewhere,
"The usual rule of the relation of a classical/quantum connection fails sometimes."
I confess not to have followed your complete argument, however it seems to derive from Dirac's interpretation of all contact transformations in which the classical transformation has a role to play in the quantum theory.
The classical variable is either random or varies with respect to something. If it varies with respect to something, say z, then we typically form an 'operator' of the form
O ~ d/dz, and the formalism that results (incorporating h) is a quantum theory. It is difficult to see how the quantum operator could possibly be more fundamental than the classical variable from which it is derived, and, in fact, the
correspondence principle insists that the quantum operator equations must be derived from the appropriate classical Hamiltonian. This seems compatible with your statement that
"
The Hamiltonian operator is the same function of P and Q as the classical Hamiltonian is of p and q ... [plus o(h)]..
I will not repeat your logic but will say that I agree with your conclusion that
"
The special role played by Cartesian coordinates in canonical quantization is essential."Your goal, as I understand it, is "
an alternative quantization procedure relating classical and quantum variables to each other", and your derivation of equation (5) seems to yield the correct classical action function without the need to modify the quantum operators at all.
I did not follow your switch to affine variables, but, to return to your point that "
the current rule sometimes leads to nonsense", I would note that Steven Kauffmann (viXra:1707.0116) has shown that the Dirac equation was
not derived from a classical Hamiltonian, but was instead influenced by 'space-time symmetry' considerations, and, accordingly, leads to some nonsense results, such as particle speed ~1.7c. Additionally, the result of Dirac's equation is a
spin that differs from Pauli's eigenvalue spin; in fact Dirac does not
have a spin eigenvalue equation, and such is obtained only after a Foldy-Wouthuysen transformation smears a spin over an extended region (viXra:1411.0096 ).
If you're wondering where this extended comment is leading, it is the fact that Dirac based his equation on
space-time symmetry considerations and my current essay treats the development of space-time symmetry concept. I hope you will read my essay and comment on it.
Thanks for a very interesting essay,
My best regards
Edwin Eugene Klingman
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Author John Rider Klauder wrote on Jan. 18, 2018 @ 02:57 GMT
EK
The lack of all canonical transformations finding a place within conventional canonical quantization is a minor failure suitable for such an essay. But the real failure, which is not discussed in my essay, is illustrated by the following property. Namely, in canonical quantization the classical Hamiltonian H(p,q) is promoted to a quantum Hamiltonian £(P,Q) which, in the classical limit (h =0) recovers the original classical Hamiltonian H(p,q). I now offer an example in which this criterion fails. Let the classical Hamiltonian be given by (using p= p1, p2, p3,..., q=q1,q2, q3,..., p^2=p1^2+p^2+p^3 + ...,
and q^2=q1^2+q^2+q^2+..., where the sums run to infinity). We choose
H(p,q) = a p^2+ b q^2 + c(q^2)^2
where a, b and c are positive real constants. The quantum Hamiltonian for such a model is given by
£(P,Q) = a P^2 + b Q^2 + c(Q^2)^2 + ...
Where Q and P represent a string of conventional canonical quantum operators. Now we ask what is the classical limit of this proposed quantum Hamiltonian and the answer has the form
H(p,q) = a p^2. + b’ q^2
NAMELY THE QUARTIC INTERACTION TERM HAS VANISHED ANd A NEW COEFFICIENT b’
HAS BEEN INTRODUCED. This is what I mean that conventional canonical quantization 9has
FAILED. There are many examples that fail in this manner. I also add the fact that our new procedures in the essay do NOT fail and lead to a satisfactory solution for such problems. I only illustrated the problems with canonical transformations because proving the failure as illustrated here was too complex for an essay.
JK
Author John Rider Klauder wrote on Jan. 18, 2018 @ 17:49 GMT
Some errors in the equations of the preceding comment. I put the correct equations below
p^2= p1^2+p2^2+p3^2 ...
q^2=q1^2+q2^2+q3^2…
Jonathan J. Dickau wrote on Jan. 21, 2018 @ 17:07 GMT
It's good to see you here John...
My experience, hearing your lecture at FFP15, was uplifting and enlightening. I felt like the top of my head popped open, at one point, and the heavens opened up so that new knowledge could pour in. I've had that kind of experience only from the best of the world's best scholars before, so I put you in the same category.
I would add that a visual metaphor was helpful for me to understand this work. An infinite-dimensional Hilbert space provides plenty of room for the Quantum action, and the Classical action can be seen as interactions on a specific restricted subset - a bounded 2-d surface. However; if we vary the characteristics of the restricted target space, we may derive an enhanced quantization rule that lets us obtain results even where that would not otherwise be possible.
I see this methodology as having great potential for studying the boundary between quantum and classical, automatic reduction vs. no-collapse models, and so on. This might even provide insights for the material covered in my essay (yet to post), which talks about thermodynamic models of gravitation, because I also deal with issues on the quantum-classical boundary.
All the Best,
Jonathan
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Author John Rider Klauder wrote on Jan. 21, 2018 @ 17:24 GMT
JD
I support your view and applaude potential expansion of enhanced quantization.Thanks for your comments.
JK
Jonathan J. Dickau replied on Jan. 22, 2018 @ 17:06 GMT
Then let me extemporize...
The reason I think your work represents an advancement in fundamental Physics is that it provides the missing piece to bring the search full-circle, and so could be a kind of holy grail for QM researchers. My thinking is that it is ill-advised to try to reduce the descriptive vocabulary for QM phenomena too far, because the core of what the subject is about resides in nature's optiony.
I had the privilege to correspond with Philip Pearle, when he first introduced statevector reduction theory, and I even have a typewritten manuscript of his 'gambler's ruin' paper. But I later became an advocate for no-collapse models, having studied and identifying with decoherence theory in its pure form, and had extended correspondence with H.D. Zeh and briefly with Joos.
I have more recently come to take seriously the idea that QM is more like a compass with a range of options of different formulations, depending on the kinds of information you have and are hoping to extract. This makes both automatic collapse as in CSL and no-collapse as in decoherence theory relevant to a full understanding of QM. All points on the compass are real, and only the pointer reveals the truth.
In this context; your enhanced quantization methodology is the missing link.
All the Best,
Jonathan
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Satyavarapu Naga Parameswara Gupta wrote on Jan. 22, 2018 @ 21:40 GMT
Hi John Rider Klauder
You said “This failure is due to the rigid connection of quantum variables arising by promoting the corresponding classical variable from a c-number to a q-number….When Canonical Quantization Fails, Here is How to Fix It ….wonderful solutions, you have very vast experience also sir John Rider Klauder…….wow……..….. very nice idea…. I highly appreciate...
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Hi John Rider Klauder
You said “This failure is due to the rigid connection of quantum variables arising by promoting the corresponding classical variable from a c-number to a q-number….When Canonical Quantization Fails, Here is How to Fix It ….wonderful solutions, you have very vast experience also sir John Rider Klauder…….wow……..….. very nice idea…. I highly appreciate your essay and hope for reciprocity.
I request you please spend some of the valuable time on Dynamic Universe Model also and give your some of the valuable & esteemed guidance
Some of the Main foundational points of Dynamic Universe Model :-No Isotropy
-No Homogeneity
-No Space-time continuum
-Non-uniform density of matter, universe is lumpy
-No singularities
-No collisions between bodies
-No blackholes
-No warm holes
-No Bigbang
-No repulsion between distant Galaxies
-Non-empty Universe
-No imaginary or negative time axis
-No imaginary X, Y, Z axes
-No differential and Integral Equations mathematically
-No General Relativity and Model does not reduce to GR on any condition
-No Creation of matter like Bigbang or steady-state models
-No many mini Bigbangs
-No Missing Mass / Dark matter
-No Dark energy
-No Bigbang generated CMB detected
-No Multi-verses
Here:
-Accelerating Expanding universe with 33% Blue shifted Galaxies
-Newton’s Gravitation law works everywhere in the same way
-All bodies dynamically moving
-All bodies move in dynamic Equilibrium
-Closed universe model no light or bodies will go away from universe
-Single Universe no baby universes
-Time is linear as observed on earth, moving forward only
-Independent x,y,z coordinate axes and Time axis no interdependencies between axes..
-UGF (Universal Gravitational Force) calculated on every point-mass
-Tensors (Linear) used for giving UNIQUE solutions for each time step
-Uses everyday physics as achievable by engineering
-21000 linear equations are used in an Excel sheet
-Computerized calculations uses 16 decimal digit accuracy
-Data mining and data warehousing techniques are used for data extraction from large amounts of data.
- Many predictions of Dynamic Universe Model came true….Have a look at
http://vaksdynamicuniversemodel.blogspot.in/p/blog-page_15.h
tml
I request you to please have a look at my essay also, and give some of your esteemed criticism for your information……..
Dynamic Universe Model says that the energy in the form of electromagnetic radiation passing grazingly near any gravitating mass changes its in frequency and finally will convert into neutrinos (mass). We all know that there is no experiment or quest in this direction. Energy conversion happens from mass to energy with the famous E=mC2, the other side of this conversion was not thought off. This is a new fundamental prediction by Dynamic Universe Model, a foundational quest in the area of Astrophysics and Cosmology.
In accordance with Dynamic Universe Model frequency shift happens on both the sides of spectrum when any electromagnetic radiation passes grazingly near gravitating mass. With this new verification, we will open a new frontier that will unlock a way for formation of the basis for continual Nucleosynthesis (continuous formation of elements) in our Universe. Amount of frequency shift will depend on relative velocity difference. All the papers of author can be downloaded from “http://vaksdynamicuniversemodel.blogspot.in/ ”
I request you to please post your reply in my essay also, so that I can get an intimation that you repliedBest
=snp
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Author John Rider Klauder replied on Jan. 23, 2018 @ 02:21 GMT
SNPG
You cite many conditions that you would like to impose on your analysis. I wish you good luck in finding one or more solutions that fit your constraints.
I will look at your essay.
JK
Satyavarapu Naga Parameswara Gupta replied on Jan. 26, 2018 @ 11:09 GMT
JK
Thank you for your blessings....
=snp
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Satyavarapu Naga Parameswara Gupta replied on Jan. 26, 2018 @ 11:24 GMT
Dear John Rider Klauder ,
Thank you very much for nice observation, that is one of the Dynamic Universe Model predictions came true
There were some recent experiments that showed velocities higher than that of light are achieved… in Europe as I remember. You can check in Wikipedia. Please see my paper on Velocities more than light for a more elaborate discussion ….
https://vaksdynamicuniversemodel.blogspot.com/
Waiting for more questions….
Best Regards
=snp
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Author John Rider Klauder wrote on Jan. 22, 2018 @ 21:50 GMT
JD
I do not recognize CSL. Please explain. I like your compass picture, but I imagine that different directions reveal alternative formulations that all lead to the same conclusion. I assume your compass includes the Copenhagen view. I find that Copenhagen views can correctly deal with many problems but not all problems that arise in quantizing a given classical model. In a.response above I gave a classical interacting model that becomes non-interacting when quantized. This same model finds a good interacting quantum result using the enhanced quantization rules. I like to say that
CQ (canonical quantization) is contained in EQ (enhanced quantization) I agree that EQ offers a kind of closure to CQ but surprisingly EQ can provide solutions that CQ cannot. One of these examples deals with covariant scalar fields with a quartic interaction in five and more space time dimensions for which CQ leads to a trivial (= free) solution while EQ leads to a satisfactory non-trivial solution.
JK
Author John Rider Klauder replied on Jan. 23, 2018 @ 02:10 GMT
JD
Let me propose a different story. For canonical quantization there is a building with a round central open space on the ground floor which has many doors that open to different formulations of CQ. However, we now can see there also is a first floor above with many doors that lead to different formulations of EQ.
JK
Jonathan J. Dickau replied on Jan. 23, 2018 @ 04:11 GMT
I am happy to be having this conversation...
I like your alternative ending to the CQ story. CSL stands for Continuous Spontaneous Localization, and it is a logical endpoint of statevector reduction theory, by combining automatic reduction with gravity (i.e. - reduction by gravitation). I do agree that Copenhagen deserves a place on the compass, with the antipode being the notion that the fundamentals of QM and how a result is arrived at having equal relevance to 'shut up and calculate.'
Beyond this; the idea of reduction being induced by gravitation may be seen to imply entropy or an entropic force associated with gravity. I presented a poster at FFP10 championing the idea of a common basis for thermodynamic entropy and non-local effects in QM, extending the ideas of spreading and sharing of energy as an entropy metaphor to include information.
I based these assumptions largely on what I was learning about decoherence theory, but it turned out the pure formulation was ill-equipped to deal with dissipative phenomena or processes. On the other hand; I later learned Sandu Popescu was formulating a very similar picture in the same timeframe (2009) so I was actually more on-target than I imagined at the time.
More later,
Jonathan
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Cristinel Stoica wrote on Jan. 24, 2018 @ 17:03 GMT
Dear John,
Thank you for this essay, I was pleased to read it! I didn't know about enhanced quantization so far, but it seems to me that it fixes some problems already, and that even more significant results will probably follow. It seems more natural than the canonical quantization, and much better connected with the classical systems that are quantized. Maybe some of the developments will shed more light not only to QFT, but also to the problem of emergence of a classical world from the quantum one, and to the problems related to quantum gravity. I will follow with interest your work.
Best wishes,
Cristi
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Author John Rider Klauder replied on Jan. 24, 2018 @ 17:16 GMT
CS
Thanks for the nice words, and they came on my birthday as well! Yes, I believe that Enhanced Quantization is a novel way to connect quantum and classical systems and removes some fuzzy parts of canonical quantization. There is a book entitled Enhanced Quantization published by World Scientific in 2015 that covers many of its benefits.
JK
Cristinel Stoica replied on Jan. 25, 2018 @ 14:48 GMT
Happy birthday, JK, and thank you for the reference! And success!
CS
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Joe Fisher wrote on Jan. 29, 2018 @ 16:13 GMT
Dear Fellow Essayists
This will be my final plea for fair treatment.,
Reliable evidence exists that proves that the surface of the earth was formed millions of years before man and his utterly complex finite informational systems ever appeared on that surface. It logically follows that Nature must have permanently devised the only single physical construct of earth allowable.
All objects, be they solid, liquid, or vaporous have always had a visible surface. This is because the real Universe must consist only of one single unified VISIBLE infinite surface occurring eternally in one single infinite dimension that am always illuminated mostly by finite non-surface light.
Only the truth can set you free.
Joe Fisher, Realist
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Christian Corda wrote on Jan. 30, 2018 @ 16:41 GMT
Dear John,
You Essay is impressive. I came to it based on a suggestion of a friend of mine. I did not know your approach of Enhanced Quantization, but it seems consistent. Your Essay is well written and seems mathematically correct. Maybe I will try to use it in a quantum gravity framework in the future.
In any case, it has been a pleasant reading for me. You deserves the highest score.
Maybe an expert of quantum theory like you could be interested in my
Essay, where I discuss a Bohr-like approach to the “gravitational atom” with... Albert Einstein!
Congrats again and good luck in the Contest.
Cheers, Ch.
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Jonathan J. Dickau wrote on Feb. 3, 2018 @ 19:11 GMT
I must commend you John,
You have given us a powerful tool and insights that will fuel the progress of fundamental Physics. So I must give you high marks on both the idea presented and its clarity of presentation. I admire that you are able to incorporate mathematical expressions into your sentences so seamlessly, and that every time you leave a reader with questions about what the Math means you follow up in the next sentence or two with an explanation of the how or why. It gets pretty Math-intensive in places, but the clarity is nearly transparent.
I could not give you full credit for weaving your subject into the theme of the contest - in terms of showing why this new approach advances fundamental Physics in your essay. But after seeing your talk at FFP15, that piece is obvious. I'm glad to see Cristi Stoica concurs that you not only expand your core topic, but give us insights "also to the problem of emergence of a classical world from the quantum one, and to the problems related to quantum gravity." I am so happy you clearly explain why "the special role played by Cartesian coordinates in canonical quantization is essential," which I had not understood before Orihuela, and how varying the target surface leads to enhanced quantization.
I am of the opinion that yours is the correct methodology, but I have doubts about the approach taken by Carroll and Singh - which lacks a well-defined target space entirely. If you have read their essay; I'd like to know your opinion.
All the Best,
Jonathan
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Peter Jackson wrote on Feb. 15, 2018 @ 14:25 GMT
JK
That looks quite brilliant, but the details were a little beyond me as I'm no mathematician (though scored top on Wigner with red/green lined socks in 2015!)
I hope you can help. It looks to me as if you have an algorithmic solution to non-linear classical 'quantum' interactions. That's of great interest as my essay describes a full ontology (and scaled up experiment) achieving...
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JK
That looks quite brilliant, but the details were a little beyond me as I'm no mathematician (though scored top on Wigner with red/green lined socks in 2015!)
I hope you can help. It looks to me as if you have an algorithmic solution to non-linear classical 'quantum' interactions. That's of great interest as my essay describes a full ontology (and scaled up experiment) achieving what I think is 'impossible', a geometrical solution for the same problem, reproducing QM's predictions free of weirdness. You'll be one of a few here qualified to check it. I Analyse 'OAM/QAM' more closely & in essence do the following;
Assume pairs retain anti-parallel polar axes but random x,y,z for each pair.
Assume physical particle OR wavefront/fermion interaction as absorption & momentum exchange at some tangent point on the Bloch sphere.
Start the pairs with Maxwell's FOUR states, inc.
'curl' (polar N/S) AND
equatorial (0 curl but max +/-
linear) momentum. QAM is then just spherical rotation.
Identify from Geophysics that the momentum distribution of both pairs is inverse and by Cos latitude (as 'surface speed' but for any diameter within the field fermion (theta set by A,B)
Take polarised/modulated 'requantized' Cos values (also now theta dependent) to the (2 channel) photomultiplier fields for further orthogonal interactions and 2nd requantization, squaring the Cos values (Borns Law).
Working with all 3 degrees of freedom and detections only above a certain energy threshold at each angle (subject to phase) the mechanism provides the outputs which (when collated and misunderstood statistically!) fully reproduce QM's predictions! Actually just as John Bell predicted, and a Bayesian distribution.
Few can grasp the ontology. Declan Traill's short essay provides the computer code and plot supporting the mechanism, including meeting CHSH >2 and the 'Steering Inequality' >1 test closing the 'detector loophole'.
Non-integer spins emerge from y,z rotations and non-locality isn't required!
What I'm unable to do (simple incompetence I think) is find the Hamiltonian. I'll also of course be unable to convince the academic community it's no joke.
I'd greatly appreciate your advice and perhaps help.
Thanks for your own inspiring insights which I'm sure are connected.
Very best
Peter J
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Peter Jackson replied on Feb. 18, 2018 @ 17:23 GMT
John,
Thanks for your nice comments on mine. As my conclusions were a logical consequence of the classical reproduction of the Cos[su]2 curve can you identify what you thought was missing from the mechanism, or logically 'wrong' in the conclusions?
The finding is very important if correct, though I know varies a little from your prior views, but I suspect I may not have described the ontological sequence in a way to allow it to be kept all in mind at once.
If not I need to identify any error you saw.
Many thanks
Peter
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Peter Jackson replied on Feb. 19, 2018 @ 11:12 GMT
John,.. .. (Thanks for your reply red the Dirac Eq. this copied from mine);
I really appreciate your reply. I agree, in fact more than
'a stretch'! such a
"new way of seeing things will involve an imaginative leap that will astonish us. In any case it seems that the quantum mechanical description will be superseded." JB p.27.
It followed from Majorana, (e it's...
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John,.. .. (Thanks for your reply red the Dirac Eq. this copied from mine);
I really appreciate your reply. I agree, in fact more than
'a stretch'! such a
"new way of seeing things will involve an imaginative leap that will astonish us. In any case it seems that the quantum mechanical description will be superseded." JB p.27.
It followed from Majorana, (e it's own antiparticle) also;
"..a real synthesis of quantum and relativity theories requires not just technical developments but radical conceptual renewal." p.172.
We know the underside of Maxwell's left hand has opposite (right) polar spin. My table top experiment, (photo's in text, protocol in end notes) confirmed the two inverse orthogonal momenta pairs with Cos theta (latitude) distribution
for EACH particle!!, that's for ALL spheres at ALL radii (so 'through coloured').
I also thought Diracs handing must be 2 particles but he's only describing ONE each time then correlating so that fails logically! A,B have one each. Lets split a sphere spinning on any axis and send half each way, each still has BOTH poles. A,B polariser electrons are the same & can be flipped independently. So B reverses his dial & 'opposite' becomes 'same'!
Not detects are explained by the phase difference at measurement angles. The solution hits the steering violation to close the detection loophole (as Traills essay). Born's (Malus') 'law' also then emerges with the second nonlinear Cos momentum transfer at the photomultiplier field. The statistics then don't represent what Bohr & statisticians assume. (Prof. Phillips Bell curve essay helps explain).
Of course ANY classical way to reproduce CHSH >2 was though impossible so needs checking out. It's a small collaboration but the problem is no top PR journal will overcome cognitive dissonance and accept it without a more authoritative figure such as yourself involved -??
Peter
PS
For the spherical momenta see figs 1 & 2 in last yrs essay here;
http://fqxi.org/community/forum/topic/2755 equivalent to the Dr Bertlemann 'reversible lined sock' solution in my top scored 2015 essay om Wigners statement here;
The Red/Green Sock Trick Did you see the 100 sec video? - deriving non integer spins from the same insight;
https://youtu.be/WKTXNvbkhhI.
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Peter Jackson replied on Feb. 19, 2018 @ 12:00 GMT
John, ..& consistent with optical science, i.e. this, just passed to me by Marianne M.
B Jack et al. Phys. Rev. A 81, 043844 30 April 2010
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Peter Jackson wrote on Feb. 19, 2018 @ 12:15 GMT
John
WOW! & check out the "Poincare sphere; --..complex superposition of two orthogonal polarisation states"
It's been there all along and ignored!
https://books.google.co.uk/books?isbn=1107006341 /link]
Peter
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