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The statement:
Because the Schwarzschild radius of a black hole is roughly equal to the Compton wavelength at the Planck scale, a photon with sufficient energy to probe this realm would yield no information whatsoever.
seems to be slightly innacurate. The Schwarzschild radius is the radius that an object must attain in order to become a black hole, it is not the radius of the resulting black hole itself (which is significantly smaller than the Schwarzchild radius). The Schwarzchild radius is the start of the black hole formation at which the collaps begins. So I would suggest restating this sentence thusly:
Because the Schwarzschild radius of a Planck scale object is roughly equal to its Compton wavelength, a photon with sufficient energy to probe this realm would yield no information whatsoever.
If I am wrong about this please let me know - I am trying to learn. Perhaps a Planck scale object and a black hole are nearly congruous and it does not matter too much which you say: "black hole" or "Planck scale object." -- Randy O123 ( talk) 05:48, 7 November 2011 (UTC)
By the way - I just read an article that talked about the Scharzschild radius; it says that this is the radius of the event horizon. Now I am ambivalent about my "Possible correction".-- Randy O123 ( talk) 03:01, 9 November 2011 (UTC)
The statement:
"Any photon energetic enough to precisely measure a Planck-sized object could actually create a particle of that dimension, but it would be massive enough to immediately become a black hole (a.k.a Planck particle), thus completely distorting that region of space, and swallowing the photon."
really does not make sense (I am not well enough versed in grammar to state the technical details) but, at a minimum it seems that the wrong conjunction 'but' is used. There is no support for this conjunction in the previous half of the sentance.
Perhaps this is a viable fix:
Any photon energetic enough to precisely measure a Planck-sized object could actually create a particle of equivalent size and would also be massive enough to immediately become a black hole (a.k.a Planck particle) which would completely distort that region of space, and swallow the incident photon.
. . . or, perhaps this:
Any photon energetic enough to precisely measure a Planck-sized object not only could actually create another Planck sized object but, it would be massive enough to immediately become a black hole (a.k.a Planck particle) which would completely distort that region of space, and swallow the incident photon (and perhaps the Planck-sized object it was attempting to measure). -- Randy O123 ( talk) 05:24, 7 November 2011 (UTC) — Preceding unsigned comment added by Randy O123 ( talk • contribs) 05:00, 7 November 2011 (UTC)
There are way too many rhetorical questions. Instead, it should be prefixed with people that have offered alternative theories along with the details of those theories. Even if these theories are going to be spouted without evidence or reference, they should no longer be rhetorical questions. Freebytes 14:31, 17 July 2007 (UTC)
You don't need to use natural units to define the Planck scale! They really are two entirely different things! Phys
I added a reference for the other common usage of the term, as it arises in physical cosmology. I attempted to use similar structure as particle physics entry, but expand a bit. I'll probably add a third paragraph and some relevant external links, when I have time. There's actually a lot of new data from the cosmology side (WMAP and IceCube) which serves to illuminate Planck Scale dynamics. But the data from RHIC are voluminous, and everbody expects to see exciting stuff when the new collider comes online at CERN. Plus the recent theoretical work of Connes may show us a shortcut to understanding this domain. That is; suddenly there is a lot to say on this topic. I'll carefully add little bits, over time, to this article. JonathanD 16:34, 5 October 2006 (UTC)
I added a paragraph with general info about Planck Scale Physics, and a paragraph with some info about experimental attempts to probe the Planck scale domain. I found it deplorable there was so little on this page, prior to my augmentations, and that only the Particle Physics definition had been delineated. That usage was foreign to me, being more a cosmology guy, and I tried to do justice to all parties with this article. It's mostly general info, distilled from a large number of sources. It is my attempt to reflect the 'common knowledge' on this topic. I am prepared to cite and corroborate, but a complete list of references will have to wait. Is it time to delete the 'stub' tag? JonathanD 02:19, 8 October 2006 (UTC)
After sectionalizing paragraphs under indexed headings, and reviewing accuracy and completeness, I deleted the Stub tag. JonathanD 23:05, 9 October 2006 (UTC)
Thank you Yevgeny, for your contributions and edits. I greatly prefer your new heading for the section Theoretical Ideas. I like some of the other edits too, but question others. It was a noble attempt to relate the two sections at the top of page, but I wonder if it adds confusion. The usage of the term Planck Scale in Astrophysics is overwhelmingly related to its meaning as a lower limit to the Length Scale. If the reader's exposure to Cosmology is mainly from Mathematical Physics, especially String theory or Particle Physics, your edits make perfect sense. People in Astronomy, or Astrophysics, might feel slighted. To them; it is a proven fact that the universe was once immeasurably small, and some of the items you elevated to factual status remain in the realm of the reasonable but unproven assumptions. Let's continue to collaborate, as your experience appears stonger in areas I am weak, and together we'll make this into an A-rated article.
JonathanD
16:08, 12 October 2006 (UTC)
Hmm.. Well, what I can glean from scanning recent papers on this topic is that the foremost experts feel that the Planck Area (or square of the Planck length) is actually a more fundamental concept and/or state, than the Planck Length, but the universe was once infinitesmal. So far as I can tell; most theorists do indeed assume that space underwent a process of evolution, in terms of the scale metric itself, and that not only the universe, but space itself once occupied a very tiny dimension at the outset. It is believed that the process of Cosmic Inflation is what brought the universe to macroscopic dimensions, with the boundaries of space expanding by a factor of 1050 from an initial size of 10-26 meters in diameter (a hundred billion times smaller than a proton) to approximately one hundred million light years (1024 m) in diameter, over a period of 10-32 seconds. This came after the Planck Era or Planck epoch, and gave rise to the essentially infinite flat space you describe.
There are several theories on the table, that address the problems of understanding this realm. Loop Quantum Gravity, Noncommutative Geometry, String theory, and M-theory all give slightly different answers to this queston, but there is some consensus that the properties of space at the lower extreme of measureable size play an important part, and set the stage for the Big Bang. In my opinion, while saying that the diameter of the universe at its inception was the Planck Length may be inaccurate, it is likely less than one order of magnitude away from the truth. Perhaps 'approximately' should be inserted. I'll look into this further, and share what I find. However, the notion that the universe once had a size near the Planck length (or Planck area), is definitely part of the common usage in Astrophysics today. JonathanD 04:49, 20 October 2006 (UTC)
Regarding the question of whether the Planck scale is the initial size of the universe, the Astronomy Knowledge Base at the U of Ottowa gives this definition for the Planck Era (seems to say yes)... Planck Era - definition JonathanD 15:22, 20 October 2006 (UTC)
Well gee... The short answer is yes, but maybe no, as there is no definitive theory or measurement which allows us to make absolute statements about the Planck epoch. The lecture by Hawking was interesting, and though he states that the evidence doesn't require a mosaic and allows for the possiblity of a continuum, it hardly constututes proof. Most astrophysics texts do state that the universe itself was unbelievably small at the outset of the Big Bang. My cosmology texts (Silk - The Big Bang, and Seeds - Horizons) do make this statement explicitly, but they are quite out of date, especially after the 'Revolution' in cosmology during the last 5 years. The wikipedia section on The Big Bang does make a similar statement as well, and I've found quite a few references.
The idea of the universe being Planck-sized at its outset seems far less controversial, however, than ascribing a particular number of dimensions to the early universe. That is; we may be able to know how 'big' the universe was, but not the dimensionality of space itself. To some extent; the idea of space having an extent (infinite or otherwise)is meaningless at the Planck scale, as no measurement or observation is possible (due to the limitations of Optical Geometry). Strictly speaking, it may be more correct to speak about the horizon, rather than the extent of space or the size of the universe at the beginning. Also; the dimensionality of space itself can only be measured in relation to objects and/or observers contained therein. Ergo; it is likely that at the Planck scale space has more than 3 dimensions, but they can more properly be spoken of as degrees of freedom. In the Randall-Sundrum formulation, an infinite 5-dimensional space lives on the other side of the brane from our 3-dimensional space, and there is a literal transition from one character of space to another. It is commonly believed that this change in the character of space happens somewhere between the Planck epoch and the end of the decoupling era, with recombination (a term I abhor, because matter wasn't connected beforehand). It is widely believed that the metric of space has evolved, which accounts for expansion, but your belief that the universe was always infinite is also widely held. Some interesting facts relate. Did you know that a 5-d ball (or hypersphere) has a larger content (volume) than one of 6 dimensions? Surface area, on the other hand peaks out in a 7-dimensional space.
More Later, but I value your commentary. It goes to show how much opinions differ, often just down the hallway in the same institution, within the same Physics department. I will seek some definitive references of recent vintage. Truth is - nobody knows what's correct yet, but the article should reflect the breadth (or full range) of commonly held beliefs, or a consensus view, and my statements still match the consensus pretty well. Thanks again. JonathanD 20:41, 20 October 2006 (UTC)
Thanks again, Yevgeny, for the lively debate, here goes...
Unique; you and I read the same words, and drew opposing conclusions. The fact is - nobody knows for sure, what the state of the universe is, at the Planck time. It's all largely conjecture based upon extrapolation of known facts. But your queries can be addressed point by point. The CERN web-site states the following. "there was no space to expand through at the beginning of time. Rather, physicists believe the Big Bang created and stretched space itself, expanding the universe." This states pretty directly that an infinite expanse of 3-d space did not exist, during the Planck epoch. In their article for Scientific American (March 2005), Lineweaver and Davis attempt to debunk some of the misconceptions people have about the Big Bang and the expansion of the universe. They state categorically that the Big Bang was not like an explosion in space, but rather an explosion of space itself. Read the technical version of this analysis at
One of their suggested sources has been a rich source of information for me, as well..
Rather than settling the score, or giving us an 'answer,' these sources and the WMAP website link add fuel to the fire, strengthening both our arguments, but calling some of our supposed facts into question. Nothing I've read, so far, conflicts with the view that the universe is Planck-sized at the Planck time, but it would be impossible to prove, whether or not it's true. Still; the idea that the universe was 10-26 meters in diameter at the outset of inflation, and underwent expansion prior to that time, is a fairly well accepted part of Inflationary Universe theories. The only way we 'know' that universe once occupied the Planck scale (dimensionally) is that it appears to have had the Planck energy at the outset, and this corresponds to a Planck-sized area of space. Rather than trying to run the clock backwards, however, we need to learn what makes it run forward, in the first place. To put it plainly; there is no way to prove the universe was Planck-sized, but there is compelling evidence, and no clear evidence to the contrary. I find our debate on this interesting and curious, because the term Planck Scale is one that I have almost always encountered as a lower limit on size, and as that dimension the universe was supposed to have occupied at the beginning of the Big Bang. The usage as a measure of energy is relatively foreign and unfamiliar. That is; I regard Planck scale to be primarily a term for the infinitesmal size of the universe at its outset, and the notion that Planck scale refers to a level of energy as a secondary definition, that follows naturally from the correspondence of small size with high energies. One of the first times I encountered the term Planck scale in the context of energy, was in this wiki article before I added to it. I don't know how you can categorically reject the Astronomy Knowledge Base definition, if you have any familiarity with cosmology whatsoever. But I acknowledge that all of the cosmology textbooks have had to be re-written at least twice, in the past 10 years. Things may have changed, in terms of the current consensus.
Still, I'd put the length scale definition first on the page, and derive the energy scale from that concept, as it is far more common in my experience, to speak of the Planck Scale that way. But for now, I'll leave that be as it is.
I'll look for some definitive references from recent texts or papers. I think John Baez has some comments on this subject that should help settle our dispute, and he is considered an authority. More Later, JonathanD 03:28, 21 October 2006 (UTC)
Regarding the idea of the Universe beginning with size at the Planck Scale - Here we go: I have conducted considerable research, and the story goes like this. For most of the last 40-50 years, the idea that the universe began with a size near the Planck length has been a central assumption of cosmology. This assumption has been the basis of many theories and equations, rather than the result of same. Perhaps the central equation justifying this assumption has been the relation setting the Schwartzchild radius equal to the Compton length, as they are roughly equal at the Planck scale. I am uncertain whether it was Planck or Hubble, who first voiced this view, but it quickly became a part of the standard Big Bang theory. More recent theories have called this assumption into question, but it is still a popular view among cosmologists and theoretical physicists, as it is so convenient in explaining the convergence of force magnitudes. Supersymmetry, universe on a wall theories, and some inflationary scenarios posit that the unification of forces may happen at a larger distance scale, typically near the electroweak boundary, which would allow for the possibility that the universe could be significantly larger at its inception, but there is no proof of this. I did a search on arxiv.org for papers containing the words Planck Scale and I came up with a lot more info. BTW - the majority of those papers employed the usage of Planck scale as a distance measurement, and not one of energy. Especially helpful is the following paper, which seems to explicitly state that my assumption is correct, or is widely believed in Physics today. "In the latest approaches such as Quantum Strings (or M-theory) or Quntum Gravity theories, it is generally accepted that the Planck Scale defines a minimum scale for the universe" (Several references cited here). physics/0509026 Is that good enough for you? I have a bunch more, if you still have questions, or dispute my orginal wording. I note it's been changed already, but no harm is done. I may elect to restore the reference, however, if it has been deleted entirely, as I believe my claim is proven factual. JonathanD 21:34, 21 October 2006 (UTC)
A question for Yevgeny: Why is the Planck length related to Planck energy by the uncertainty principle? Isn't it much simpler to use the wavelength of a photon? JonathanD 22:09, 21 October 2006 (UTC)
I disagree, as no other particle known decreases in size with an increase of energy. The dimension of sub-atomic particles is fixed by a balance of forces (the strong and weak force, specifically). Your statement that it "works for any particle" seems almost absurd, but I invite you to explain. JonathanD 03:18, 22 October 2006 (UTC)
Hi Jonathan and Yevgeny, in my understanding there is no uncontroversial way to define the size of an elementary (i.e. non-composite) elementary particle in quantum mechanical terms. For example, see the 'Wave–particle duality and uncertainty principles' section in Wikipedia page 'Photon', where it is stated that a photon can be 'absorbed or emitted as a whole by arbitrarily small systems, systems much smaller than its wavelength, such as an atomic nucleus (≈10−15 m across) or even the point-like electron'. — Preceding unsigned comment added by Paolo.vicari ( talk • contribs) 07:11, 12 September 2013 (UTC)
Regarding the initial size of the universe, I did present the following reference, which you chose to reject out of hand.
You have not cited any references which refute this, and I think perhaps you won't find any. Several knowledgeable parties have stated that anyone would be crazy to make a definitive statement regarding the universe at the Planck time, but some go on to describe what is sensible. I have discovered some dissenting opinions about my original statement, but only after considerable research. I invite you to find your own counter-example, or to cite any credible reference which you feel refutes my statement about the initial size of the universe being at or near the Planck scale in size. JonathanD 03:36, 22 October 2006 (UTC)
P.S. - I am continuing my search for an acceptably definitive reference to confirm my statement. I will make it known, once I have found a text of recent enough vintage (5 years old or less) to be current. So far as your arguments go, they may raise doubts, but do not disprove my point. I will not correct your mis-statements until I have an alternative which is more precisely correct, however. JonathanD 04:12, 22 October 2006 (UTC)
I will be creating a section for citation of References to support claims made in this article. I would ask all editors to the Planck Scale entry to pay careful attention to syntax. The references are embedded in the body of the article, but will appear in the References section.
Thanks,
JonathanD 21:46, 22 October 2006 (UTC)
JonathanD wrote on my talk page:
I still intend to add a few more references, which I have already collected, once I relocate my summary sheet. I added a tag requesting a peer review, as I feel this article is relevant and informative. JonathanD 17:32, 23 March 2007 (UTC)
As this article presents info of relevance, and has been stable (free of edit-wars), I feel it deserves to be reviewed by a knowledgable person, assigned a rating, included in future compilations of content, and so forth. My belief is that it's already fairly accurate, but comments are appreciated, and pertinent additions can still be made. If it needs something, let it be known on this page, make changes, or both. JonathanD 17:41, 23 March 2007 (UTC)
After reviewing the lists of Physics articles ranked for importance, I gave this article a conservative Mid rating. Given my personal interests, I think the subject warrants a High importance, but I am admittedly biased. ;) It's definitely more pertinent than most items in the Low importance category. Comments are invited, including an evaluation of quality. JonathanD 20:20, 23 March 2007 (UTC)
This is all far fetched, and HIGHLY CONTROVERSIAL, stretching out scientific theories (rather than conclusive methods) over too large spacial / temporal dimensions as for humans to be possibly able to interconnect in terms of physical laws and or actual activities. Just like in "And we have measured the afterglow of that era with instruments such as the WMAP probe, which recently accumulated sufficient data to allow scientists to probe back to the first trillionth of a second after the Big Bang, near the electroweak phase transition." This whole thing is outrageously presumptuous and defining as absolute what is TOTALLY UNKNOWN, wildly speculated about at best. Please remove anything that is drawing conclusions about Plancks Ideas and leave those to themselves or relate to rather recent ideas / constructs in individual (then again HIGHLY speculative articles) separate from what was initially intended by introducing these energy /dimensional levels. Playing around with "what were if this was like that" doesn't lead but to speculations and neither applicable nor provalbe theories. tb, 14:30, 12 June 2007 (UTC)
The following suggestions were generated by a semi-automatic javascript program, and might not be applicable for the article in question.
You may wish to browse through User:AndyZ/Suggestions for further ideas. Thanks, Hfarmer 12:45, 20 July 2007 (UTC)
I am also going to look online for some more references to back up the claims made in the article. -- Hfarmer 12:45, 20 July 2007 (UTC)
Wikipedia's know-it-all editors keep destroying my sub-Planck page which is totally distinct from Planck Scale. They are related topics but need separate pages. sub-Planck is to Planck like Nuclear Physics is compared to Chemistry
Please help protest and get the editors to restore, respect,and fix the sub-Planck page... —Preceding unsigned comment added by Physicman123 ( talk • contribs) 13:59, 15 March 2008 (UTC)
I have a Ph.D. in particle physics, and everything Physicman123 said is true. He has two relevant, peer-reviewed sources in Phys. Rev. Lett. Sub-Planck is a distinct topic from the Planck Scale. No particle physicist would disagree with his list of schools of thought.
Yes, it would be nice if he had put in some footnoted references. No, I am not going to put in footnoted references because I no longer have free access to the journals he referenced.
Overall, the Sub-Planck article is of better quality than the Planck Scale article to which it was pointing. The theoretical ideas section of the Planck Scale article has numerous unreferenced, highly speculative questions in an unenclyopedic form.
If you are going to get rid of Sub-Planck again, then the Planck Scale article should go to. But I think that both articles, depsite their unclear referencing, are helpful to beginners and laymen in particle physics.
How do I re-open the discussion on the deletion of Sub-Planck?
-- Dr.enh ( talk) 03:30, 24 March 2008 (UTC)
Since I wrote much of this article, I visit it from time to time, and I was dismayed to find that the equivalence I'd established between the definition of Planck Scale referring to energy, which may not be attainable, and the definition of Planck Scale as being the infinitesimal realm, beyond which observation may not be possible. There is some debate on how small we can really measure (Ng-Van Dam vs Baez-Olson), but the vast majority of papers I've read talk about Planck scale dynamics primarily as something taking place in the realm of very small size, not at high energies. I might be biased in what I read, but I don't want readers to miss the point, or lose half the story.
I've sent a note to Dr.enh's user page, as I don't want to just over-write other people's careful work, but I think it's wrong to leave out the association of Planck scale with ultra-small size, as that is perhaps it's most common usage. So, I'll try to put that idea back in order, and I may try to save the table, but re-format it to include all four constants.
JonathanD ( talk) 18:11, 2 April 2008 (UTC)
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There is an experiment intended to look for effects (noise) implied by the minimum time scale / maximum frequency that can occur due to Planck scale: http://holometer.fnal.gov/team.html Maybe someone can integrate it into the article? -- 21:52, 6 November 2010 (UTC) —Preceding unsigned comment added by 95.89.100.203 ( talk)
It isn't from observation, so I infer that it must have been inferred. But from what? I doubt that it was implied by pure mathematics, either.
Anyway, whatever the answer, it should be in the article. If you can point me to a highly technical explanation, I'll translate it into normal-people language. —Preceding unsigned comment added by 75.108.188.137 ( talk) 05:20, 24 March 2011 (UTC)
The text lists: Planck mass = 2.17645 × 10−8 kg That's just on the edge of atomic mass scale. Is that right? — Preceding unsigned comment added by 208.25.211.33 ( talk) 22:24, 17 July 2013 (UTC)
A what now? Seriously? The article is a little light on references actually stating any fundamental definition, but none of them appear to support this claim. This needs to be clarified quickly or the article must go back to a redirect ( Planck units may be more appropriate than just picking Planck length as previously). While an article here may (or may not, since Planck units essentially describes the same concept) be notable, one that is fundamentally flawed is not a good idea. Lithopsian ( talk) 15:18, 24 November 2019 (UTC)
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The statement:
Because the Schwarzschild radius of a black hole is roughly equal to the Compton wavelength at the Planck scale, a photon with sufficient energy to probe this realm would yield no information whatsoever.
seems to be slightly innacurate. The Schwarzschild radius is the radius that an object must attain in order to become a black hole, it is not the radius of the resulting black hole itself (which is significantly smaller than the Schwarzchild radius). The Schwarzchild radius is the start of the black hole formation at which the collaps begins. So I would suggest restating this sentence thusly:
Because the Schwarzschild radius of a Planck scale object is roughly equal to its Compton wavelength, a photon with sufficient energy to probe this realm would yield no information whatsoever.
If I am wrong about this please let me know - I am trying to learn. Perhaps a Planck scale object and a black hole are nearly congruous and it does not matter too much which you say: "black hole" or "Planck scale object." -- Randy O123 ( talk) 05:48, 7 November 2011 (UTC)
By the way - I just read an article that talked about the Scharzschild radius; it says that this is the radius of the event horizon. Now I am ambivalent about my "Possible correction".-- Randy O123 ( talk) 03:01, 9 November 2011 (UTC)
The statement:
"Any photon energetic enough to precisely measure a Planck-sized object could actually create a particle of that dimension, but it would be massive enough to immediately become a black hole (a.k.a Planck particle), thus completely distorting that region of space, and swallowing the photon."
really does not make sense (I am not well enough versed in grammar to state the technical details) but, at a minimum it seems that the wrong conjunction 'but' is used. There is no support for this conjunction in the previous half of the sentance.
Perhaps this is a viable fix:
Any photon energetic enough to precisely measure a Planck-sized object could actually create a particle of equivalent size and would also be massive enough to immediately become a black hole (a.k.a Planck particle) which would completely distort that region of space, and swallow the incident photon.
. . . or, perhaps this:
Any photon energetic enough to precisely measure a Planck-sized object not only could actually create another Planck sized object but, it would be massive enough to immediately become a black hole (a.k.a Planck particle) which would completely distort that region of space, and swallow the incident photon (and perhaps the Planck-sized object it was attempting to measure). -- Randy O123 ( talk) 05:24, 7 November 2011 (UTC) — Preceding unsigned comment added by Randy O123 ( talk • contribs) 05:00, 7 November 2011 (UTC)
There are way too many rhetorical questions. Instead, it should be prefixed with people that have offered alternative theories along with the details of those theories. Even if these theories are going to be spouted without evidence or reference, they should no longer be rhetorical questions. Freebytes 14:31, 17 July 2007 (UTC)
You don't need to use natural units to define the Planck scale! They really are two entirely different things! Phys
I added a reference for the other common usage of the term, as it arises in physical cosmology. I attempted to use similar structure as particle physics entry, but expand a bit. I'll probably add a third paragraph and some relevant external links, when I have time. There's actually a lot of new data from the cosmology side (WMAP and IceCube) which serves to illuminate Planck Scale dynamics. But the data from RHIC are voluminous, and everbody expects to see exciting stuff when the new collider comes online at CERN. Plus the recent theoretical work of Connes may show us a shortcut to understanding this domain. That is; suddenly there is a lot to say on this topic. I'll carefully add little bits, over time, to this article. JonathanD 16:34, 5 October 2006 (UTC)
I added a paragraph with general info about Planck Scale Physics, and a paragraph with some info about experimental attempts to probe the Planck scale domain. I found it deplorable there was so little on this page, prior to my augmentations, and that only the Particle Physics definition had been delineated. That usage was foreign to me, being more a cosmology guy, and I tried to do justice to all parties with this article. It's mostly general info, distilled from a large number of sources. It is my attempt to reflect the 'common knowledge' on this topic. I am prepared to cite and corroborate, but a complete list of references will have to wait. Is it time to delete the 'stub' tag? JonathanD 02:19, 8 October 2006 (UTC)
After sectionalizing paragraphs under indexed headings, and reviewing accuracy and completeness, I deleted the Stub tag. JonathanD 23:05, 9 October 2006 (UTC)
Thank you Yevgeny, for your contributions and edits. I greatly prefer your new heading for the section Theoretical Ideas. I like some of the other edits too, but question others. It was a noble attempt to relate the two sections at the top of page, but I wonder if it adds confusion. The usage of the term Planck Scale in Astrophysics is overwhelmingly related to its meaning as a lower limit to the Length Scale. If the reader's exposure to Cosmology is mainly from Mathematical Physics, especially String theory or Particle Physics, your edits make perfect sense. People in Astronomy, or Astrophysics, might feel slighted. To them; it is a proven fact that the universe was once immeasurably small, and some of the items you elevated to factual status remain in the realm of the reasonable but unproven assumptions. Let's continue to collaborate, as your experience appears stonger in areas I am weak, and together we'll make this into an A-rated article.
JonathanD
16:08, 12 October 2006 (UTC)
Hmm.. Well, what I can glean from scanning recent papers on this topic is that the foremost experts feel that the Planck Area (or square of the Planck length) is actually a more fundamental concept and/or state, than the Planck Length, but the universe was once infinitesmal. So far as I can tell; most theorists do indeed assume that space underwent a process of evolution, in terms of the scale metric itself, and that not only the universe, but space itself once occupied a very tiny dimension at the outset. It is believed that the process of Cosmic Inflation is what brought the universe to macroscopic dimensions, with the boundaries of space expanding by a factor of 1050 from an initial size of 10-26 meters in diameter (a hundred billion times smaller than a proton) to approximately one hundred million light years (1024 m) in diameter, over a period of 10-32 seconds. This came after the Planck Era or Planck epoch, and gave rise to the essentially infinite flat space you describe.
There are several theories on the table, that address the problems of understanding this realm. Loop Quantum Gravity, Noncommutative Geometry, String theory, and M-theory all give slightly different answers to this queston, but there is some consensus that the properties of space at the lower extreme of measureable size play an important part, and set the stage for the Big Bang. In my opinion, while saying that the diameter of the universe at its inception was the Planck Length may be inaccurate, it is likely less than one order of magnitude away from the truth. Perhaps 'approximately' should be inserted. I'll look into this further, and share what I find. However, the notion that the universe once had a size near the Planck length (or Planck area), is definitely part of the common usage in Astrophysics today. JonathanD 04:49, 20 October 2006 (UTC)
Regarding the question of whether the Planck scale is the initial size of the universe, the Astronomy Knowledge Base at the U of Ottowa gives this definition for the Planck Era (seems to say yes)... Planck Era - definition JonathanD 15:22, 20 October 2006 (UTC)
Well gee... The short answer is yes, but maybe no, as there is no definitive theory or measurement which allows us to make absolute statements about the Planck epoch. The lecture by Hawking was interesting, and though he states that the evidence doesn't require a mosaic and allows for the possiblity of a continuum, it hardly constututes proof. Most astrophysics texts do state that the universe itself was unbelievably small at the outset of the Big Bang. My cosmology texts (Silk - The Big Bang, and Seeds - Horizons) do make this statement explicitly, but they are quite out of date, especially after the 'Revolution' in cosmology during the last 5 years. The wikipedia section on The Big Bang does make a similar statement as well, and I've found quite a few references.
The idea of the universe being Planck-sized at its outset seems far less controversial, however, than ascribing a particular number of dimensions to the early universe. That is; we may be able to know how 'big' the universe was, but not the dimensionality of space itself. To some extent; the idea of space having an extent (infinite or otherwise)is meaningless at the Planck scale, as no measurement or observation is possible (due to the limitations of Optical Geometry). Strictly speaking, it may be more correct to speak about the horizon, rather than the extent of space or the size of the universe at the beginning. Also; the dimensionality of space itself can only be measured in relation to objects and/or observers contained therein. Ergo; it is likely that at the Planck scale space has more than 3 dimensions, but they can more properly be spoken of as degrees of freedom. In the Randall-Sundrum formulation, an infinite 5-dimensional space lives on the other side of the brane from our 3-dimensional space, and there is a literal transition from one character of space to another. It is commonly believed that this change in the character of space happens somewhere between the Planck epoch and the end of the decoupling era, with recombination (a term I abhor, because matter wasn't connected beforehand). It is widely believed that the metric of space has evolved, which accounts for expansion, but your belief that the universe was always infinite is also widely held. Some interesting facts relate. Did you know that a 5-d ball (or hypersphere) has a larger content (volume) than one of 6 dimensions? Surface area, on the other hand peaks out in a 7-dimensional space.
More Later, but I value your commentary. It goes to show how much opinions differ, often just down the hallway in the same institution, within the same Physics department. I will seek some definitive references of recent vintage. Truth is - nobody knows what's correct yet, but the article should reflect the breadth (or full range) of commonly held beliefs, or a consensus view, and my statements still match the consensus pretty well. Thanks again. JonathanD 20:41, 20 October 2006 (UTC)
Thanks again, Yevgeny, for the lively debate, here goes...
Unique; you and I read the same words, and drew opposing conclusions. The fact is - nobody knows for sure, what the state of the universe is, at the Planck time. It's all largely conjecture based upon extrapolation of known facts. But your queries can be addressed point by point. The CERN web-site states the following. "there was no space to expand through at the beginning of time. Rather, physicists believe the Big Bang created and stretched space itself, expanding the universe." This states pretty directly that an infinite expanse of 3-d space did not exist, during the Planck epoch. In their article for Scientific American (March 2005), Lineweaver and Davis attempt to debunk some of the misconceptions people have about the Big Bang and the expansion of the universe. They state categorically that the Big Bang was not like an explosion in space, but rather an explosion of space itself. Read the technical version of this analysis at
One of their suggested sources has been a rich source of information for me, as well..
Rather than settling the score, or giving us an 'answer,' these sources and the WMAP website link add fuel to the fire, strengthening both our arguments, but calling some of our supposed facts into question. Nothing I've read, so far, conflicts with the view that the universe is Planck-sized at the Planck time, but it would be impossible to prove, whether or not it's true. Still; the idea that the universe was 10-26 meters in diameter at the outset of inflation, and underwent expansion prior to that time, is a fairly well accepted part of Inflationary Universe theories. The only way we 'know' that universe once occupied the Planck scale (dimensionally) is that it appears to have had the Planck energy at the outset, and this corresponds to a Planck-sized area of space. Rather than trying to run the clock backwards, however, we need to learn what makes it run forward, in the first place. To put it plainly; there is no way to prove the universe was Planck-sized, but there is compelling evidence, and no clear evidence to the contrary. I find our debate on this interesting and curious, because the term Planck Scale is one that I have almost always encountered as a lower limit on size, and as that dimension the universe was supposed to have occupied at the beginning of the Big Bang. The usage as a measure of energy is relatively foreign and unfamiliar. That is; I regard Planck scale to be primarily a term for the infinitesmal size of the universe at its outset, and the notion that Planck scale refers to a level of energy as a secondary definition, that follows naturally from the correspondence of small size with high energies. One of the first times I encountered the term Planck scale in the context of energy, was in this wiki article before I added to it. I don't know how you can categorically reject the Astronomy Knowledge Base definition, if you have any familiarity with cosmology whatsoever. But I acknowledge that all of the cosmology textbooks have had to be re-written at least twice, in the past 10 years. Things may have changed, in terms of the current consensus.
Still, I'd put the length scale definition first on the page, and derive the energy scale from that concept, as it is far more common in my experience, to speak of the Planck Scale that way. But for now, I'll leave that be as it is.
I'll look for some definitive references from recent texts or papers. I think John Baez has some comments on this subject that should help settle our dispute, and he is considered an authority. More Later, JonathanD 03:28, 21 October 2006 (UTC)
Regarding the idea of the Universe beginning with size at the Planck Scale - Here we go: I have conducted considerable research, and the story goes like this. For most of the last 40-50 years, the idea that the universe began with a size near the Planck length has been a central assumption of cosmology. This assumption has been the basis of many theories and equations, rather than the result of same. Perhaps the central equation justifying this assumption has been the relation setting the Schwartzchild radius equal to the Compton length, as they are roughly equal at the Planck scale. I am uncertain whether it was Planck or Hubble, who first voiced this view, but it quickly became a part of the standard Big Bang theory. More recent theories have called this assumption into question, but it is still a popular view among cosmologists and theoretical physicists, as it is so convenient in explaining the convergence of force magnitudes. Supersymmetry, universe on a wall theories, and some inflationary scenarios posit that the unification of forces may happen at a larger distance scale, typically near the electroweak boundary, which would allow for the possibility that the universe could be significantly larger at its inception, but there is no proof of this. I did a search on arxiv.org for papers containing the words Planck Scale and I came up with a lot more info. BTW - the majority of those papers employed the usage of Planck scale as a distance measurement, and not one of energy. Especially helpful is the following paper, which seems to explicitly state that my assumption is correct, or is widely believed in Physics today. "In the latest approaches such as Quantum Strings (or M-theory) or Quntum Gravity theories, it is generally accepted that the Planck Scale defines a minimum scale for the universe" (Several references cited here). physics/0509026 Is that good enough for you? I have a bunch more, if you still have questions, or dispute my orginal wording. I note it's been changed already, but no harm is done. I may elect to restore the reference, however, if it has been deleted entirely, as I believe my claim is proven factual. JonathanD 21:34, 21 October 2006 (UTC)
A question for Yevgeny: Why is the Planck length related to Planck energy by the uncertainty principle? Isn't it much simpler to use the wavelength of a photon? JonathanD 22:09, 21 October 2006 (UTC)
I disagree, as no other particle known decreases in size with an increase of energy. The dimension of sub-atomic particles is fixed by a balance of forces (the strong and weak force, specifically). Your statement that it "works for any particle" seems almost absurd, but I invite you to explain. JonathanD 03:18, 22 October 2006 (UTC)
Hi Jonathan and Yevgeny, in my understanding there is no uncontroversial way to define the size of an elementary (i.e. non-composite) elementary particle in quantum mechanical terms. For example, see the 'Wave–particle duality and uncertainty principles' section in Wikipedia page 'Photon', where it is stated that a photon can be 'absorbed or emitted as a whole by arbitrarily small systems, systems much smaller than its wavelength, such as an atomic nucleus (≈10−15 m across) or even the point-like electron'. — Preceding unsigned comment added by Paolo.vicari ( talk • contribs) 07:11, 12 September 2013 (UTC)
Regarding the initial size of the universe, I did present the following reference, which you chose to reject out of hand.
You have not cited any references which refute this, and I think perhaps you won't find any. Several knowledgeable parties have stated that anyone would be crazy to make a definitive statement regarding the universe at the Planck time, but some go on to describe what is sensible. I have discovered some dissenting opinions about my original statement, but only after considerable research. I invite you to find your own counter-example, or to cite any credible reference which you feel refutes my statement about the initial size of the universe being at or near the Planck scale in size. JonathanD 03:36, 22 October 2006 (UTC)
P.S. - I am continuing my search for an acceptably definitive reference to confirm my statement. I will make it known, once I have found a text of recent enough vintage (5 years old or less) to be current. So far as your arguments go, they may raise doubts, but do not disprove my point. I will not correct your mis-statements until I have an alternative which is more precisely correct, however. JonathanD 04:12, 22 October 2006 (UTC)
I will be creating a section for citation of References to support claims made in this article. I would ask all editors to the Planck Scale entry to pay careful attention to syntax. The references are embedded in the body of the article, but will appear in the References section.
Thanks,
JonathanD 21:46, 22 October 2006 (UTC)
JonathanD wrote on my talk page:
I still intend to add a few more references, which I have already collected, once I relocate my summary sheet. I added a tag requesting a peer review, as I feel this article is relevant and informative. JonathanD 17:32, 23 March 2007 (UTC)
As this article presents info of relevance, and has been stable (free of edit-wars), I feel it deserves to be reviewed by a knowledgable person, assigned a rating, included in future compilations of content, and so forth. My belief is that it's already fairly accurate, but comments are appreciated, and pertinent additions can still be made. If it needs something, let it be known on this page, make changes, or both. JonathanD 17:41, 23 March 2007 (UTC)
After reviewing the lists of Physics articles ranked for importance, I gave this article a conservative Mid rating. Given my personal interests, I think the subject warrants a High importance, but I am admittedly biased. ;) It's definitely more pertinent than most items in the Low importance category. Comments are invited, including an evaluation of quality. JonathanD 20:20, 23 March 2007 (UTC)
This is all far fetched, and HIGHLY CONTROVERSIAL, stretching out scientific theories (rather than conclusive methods) over too large spacial / temporal dimensions as for humans to be possibly able to interconnect in terms of physical laws and or actual activities. Just like in "And we have measured the afterglow of that era with instruments such as the WMAP probe, which recently accumulated sufficient data to allow scientists to probe back to the first trillionth of a second after the Big Bang, near the electroweak phase transition." This whole thing is outrageously presumptuous and defining as absolute what is TOTALLY UNKNOWN, wildly speculated about at best. Please remove anything that is drawing conclusions about Plancks Ideas and leave those to themselves or relate to rather recent ideas / constructs in individual (then again HIGHLY speculative articles) separate from what was initially intended by introducing these energy /dimensional levels. Playing around with "what were if this was like that" doesn't lead but to speculations and neither applicable nor provalbe theories. tb, 14:30, 12 June 2007 (UTC)
The following suggestions were generated by a semi-automatic javascript program, and might not be applicable for the article in question.
You may wish to browse through User:AndyZ/Suggestions for further ideas. Thanks, Hfarmer 12:45, 20 July 2007 (UTC)
I am also going to look online for some more references to back up the claims made in the article. -- Hfarmer 12:45, 20 July 2007 (UTC)
Wikipedia's know-it-all editors keep destroying my sub-Planck page which is totally distinct from Planck Scale. They are related topics but need separate pages. sub-Planck is to Planck like Nuclear Physics is compared to Chemistry
Please help protest and get the editors to restore, respect,and fix the sub-Planck page... —Preceding unsigned comment added by Physicman123 ( talk • contribs) 13:59, 15 March 2008 (UTC)
I have a Ph.D. in particle physics, and everything Physicman123 said is true. He has two relevant, peer-reviewed sources in Phys. Rev. Lett. Sub-Planck is a distinct topic from the Planck Scale. No particle physicist would disagree with his list of schools of thought.
Yes, it would be nice if he had put in some footnoted references. No, I am not going to put in footnoted references because I no longer have free access to the journals he referenced.
Overall, the Sub-Planck article is of better quality than the Planck Scale article to which it was pointing. The theoretical ideas section of the Planck Scale article has numerous unreferenced, highly speculative questions in an unenclyopedic form.
If you are going to get rid of Sub-Planck again, then the Planck Scale article should go to. But I think that both articles, depsite their unclear referencing, are helpful to beginners and laymen in particle physics.
How do I re-open the discussion on the deletion of Sub-Planck?
-- Dr.enh ( talk) 03:30, 24 March 2008 (UTC)
Since I wrote much of this article, I visit it from time to time, and I was dismayed to find that the equivalence I'd established between the definition of Planck Scale referring to energy, which may not be attainable, and the definition of Planck Scale as being the infinitesimal realm, beyond which observation may not be possible. There is some debate on how small we can really measure (Ng-Van Dam vs Baez-Olson), but the vast majority of papers I've read talk about Planck scale dynamics primarily as something taking place in the realm of very small size, not at high energies. I might be biased in what I read, but I don't want readers to miss the point, or lose half the story.
I've sent a note to Dr.enh's user page, as I don't want to just over-write other people's careful work, but I think it's wrong to leave out the association of Planck scale with ultra-small size, as that is perhaps it's most common usage. So, I'll try to put that idea back in order, and I may try to save the table, but re-format it to include all four constants.
JonathanD ( talk) 18:11, 2 April 2008 (UTC)
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14:12, 20 December 2009 (UTC)
There is an experiment intended to look for effects (noise) implied by the minimum time scale / maximum frequency that can occur due to Planck scale: http://holometer.fnal.gov/team.html Maybe someone can integrate it into the article? -- 21:52, 6 November 2010 (UTC) —Preceding unsigned comment added by 95.89.100.203 ( talk)
It isn't from observation, so I infer that it must have been inferred. But from what? I doubt that it was implied by pure mathematics, either.
Anyway, whatever the answer, it should be in the article. If you can point me to a highly technical explanation, I'll translate it into normal-people language. —Preceding unsigned comment added by 75.108.188.137 ( talk) 05:20, 24 March 2011 (UTC)
The text lists: Planck mass = 2.17645 × 10−8 kg That's just on the edge of atomic mass scale. Is that right? — Preceding unsigned comment added by 208.25.211.33 ( talk) 22:24, 17 July 2013 (UTC)
A what now? Seriously? The article is a little light on references actually stating any fundamental definition, but none of them appear to support this claim. This needs to be clarified quickly or the article must go back to a redirect ( Planck units may be more appropriate than just picking Planck length as previously). While an article here may (or may not, since Planck units essentially describes the same concept) be notable, one that is fundamentally flawed is not a good idea. Lithopsian ( talk) 15:18, 24 November 2019 (UTC)