tag:blogger.com,1999:blog-22973357.post2219671902115309033..comments2020-10-01T13:04:37.576-04:00Comments on Sabine Hossenfelder: Backreaction: What is a singular limit?Sabine Hossenfelderhttp://www.blogger.com/profile/06151209308084588985noreply@blogger.comBlogger27125tag:blogger.com,1999:blog-22973357.post-90796260882930666262020-09-10T10:22:57.843-04:002020-09-10T10:22:57.843-04:00Dr Hossenfelder,
Once again I find your posts to ...Dr Hossenfelder,<br /><br />Once again I find your posts to be very insightful, thank you so very much. I do not believe that anybody can argue with the statement that mathematics is the language of the universe. It is important for us to keep in mind, as you have just pointed out, that mathematics is the universe's language not ours. The universe has been kind enough to give us clues and Steve Guderianhttps://www.blogger.com/profile/09572661573643389505noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-18378346052577067452020-09-08T19:48:07.734-04:002020-09-08T19:48:07.734-04:00.
DJ Industrial Average chart, 1925-1935.
Some.... <br />DJ Industrial Average chart, 1925-1935. <br />Sometimes provokes Generalized Cause/Effect analysis and extrapolations.<br />Like when the lunch box has a wormy apple.Korean War Photo Documentaryhttps://www.blogger.com/profile/12109120741562284394noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-59736282793361531812020-09-08T12:24:11.182-04:002020-09-08T12:24:11.182-04:00That integral limit was really unexpected :). It g...That integral limit was really unexpected :). It gets you thinking that consciousness could be a singular limit just like that. A limit on the number of neurons/connections. You can have any number of neurons/connections lower than a magic value and nothing happens but somewhere around then the magic value and HOP! pops the consciousness...Catalin Tudorhttps://www.blogger.com/profile/06192244112905762189noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-2333926306020156342020-09-08T10:05:46.912-04:002020-09-08T10:05:46.912-04:00In condensed matter physics, the same issues are a...In condensed matter physics, the same issues are also at play if you do theoretical work. All the results on critical exponents based on renormalization group arguments are non-rigorous, because one has to assume that there exists a non-singular mapping from the (known or unknown) exact mathematical model describing whatever physical system one is studying to some effective field theory that is Saibal Mitrahttps://www.blogger.com/profile/13597381129394090350noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-83830888695246301812020-09-08T06:03:46.058-04:002020-09-08T06:03:46.058-04:00This is a second post to address separate question...This is a second post to address separate question. There are gauge coupling constants, the basic on being the electric charge or the fine structure constant α = e^2/4πεħc. where the gauge charge can adjust by renormalization group flow. Then in particular there are the constants such as the Planck constant ħ and the speed of light c. The speed of light is a way to convert time into space, eg c =Lawrence Crowellhttps://www.blogger.com/profile/12090839464038445335noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-16605656240065170512020-09-08T05:48:01.728-04:002020-09-08T05:48:01.728-04:00This is because the charges of gauge fields come i...This is because the charges of gauge fields come in opposites. They also transform by roots in an elliptic fashion. Think of the electric charge and its gauge group U(1), which is just the unit circle in the complex plane. The real valued parts reflect the two charges or weights and they are connected by a circle.<br /><br />Gravitation is a hyperbolic gauge-like group. The "charge" is Lawrence Crowellhttps://www.blogger.com/profile/12090839464038445335noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-38977478759003435562020-09-07T23:42:43.212-04:002020-09-07T23:42:43.212-04:00Dr Castaldo:
Thanks for the clarification, much a...Dr Castaldo:<br /><br />Thanks for the clarification, much appreciated. Sabine Hossenfelderhttps://www.blogger.com/profile/06151209308084588985noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-22680989572092544432020-09-07T23:09:27.889-04:002020-09-07T23:09:27.889-04:00Hi Lawrence, and Axil,
My apologies to both of yo...Hi Lawrence, and Axil,<br /><br />My apologies to both of you! I usually remember to put a salutation at the top, both for etiquette and for clarity of reference. I slipped that time!<br /><br />Please note that I'm not trying to debate the impact of magnetic fields on large-scale cosmic structures. I am simply stating a much dumber, simpler fact: At least in our universe, our most powerful Terry Bollingerhttps://www.blogger.com/profile/03915136249111338024noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-3876067345769421072020-09-07T16:46:07.042-04:002020-09-07T16:46:07.042-04:00Sabine: Yes it does. "X to the N" always...Sabine: Yes it does. "X to the N" always means X raised to the Nth power.<br /><br />The only quibble is some people insist on the adjective form instead of the numeral. <br /><br />So we say "X to the third" instead of "X to the three".<br /><br />Or in this case "Ten to the thirty-ninth". But that is a quibble, "ten to the thirty-nine" is fine.Dr. A.M. Castaldohttps://www.blogger.com/profile/17988116835722393503noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-59102875394672344062020-09-07T11:25:46.362-04:002020-09-07T11:25:46.362-04:00I am presuming you are responding to Axil. This ha...I am presuming you are responding to Axil. This has to do with magnetic fields. These are actually weaker than electric field by division by the speed of light. This does though mean the magnetic field is still a lot stronger than the gravitational field. The thing that makes magnetic field have such long range influence is there are no magnetic monopoles. I should have indicated this. <br /><br Lawrence Crowellhttps://www.blogger.com/profile/12090839464038445335noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-42596022167309174352020-09-07T10:21:16.261-04:002020-09-07T10:21:16.261-04:00doesn't this mean the same?doesn't this mean the same?Sabine Hossenfelderhttps://www.blogger.com/profile/06151209308084588985noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-60265025238127002192020-09-07T07:18:42.975-04:002020-09-07T07:18:42.975-04:00Nope. Like fish in water, we are so accustomed to ...Nope. Like fish in water, we are so accustomed to the incomprehensibly moderating effects of localized electric charge cancellation that we mistake electromagnetism merely <i>competing</i> with wimpy gravity as evidence of the <i>full</i> power of electromagnetism.<br /><br />It isn't. Even Richard Feynman, who was about as aware of the extremity of the difference as anyone in the last Terry Bollingerhttps://www.blogger.com/profile/03915136249111338024noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-30376464159558825182020-09-07T07:07:05.903-04:002020-09-07T07:07:05.903-04:00@ Bollinger: I responded to this post, but below a...@ Bollinger: I responded to this post, but below at:<br /><br />http://backreaction.blogspot.com/2020/09/what-is-singular-limit.html?showComment=1599394869790#c2636735410559537673<br /><br />@ Axil: This phenomenology is a good and bad thing. The relevant research paper is at <br /><br />https://arxiv.org/pdf/2004.09487.pdf<br /><br />The measurements of these magnetic fields is from Lawrence Crowellhttps://www.blogger.com/profile/12090839464038445335noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-137723284882770952020-09-07T06:54:16.200-04:002020-09-07T06:54:16.200-04:00Hi Sabine,
I guess you mean "ten to the pow...Hi Sabine, <br /><br />I guess you mean "ten to the power thirty-nine", not only "ten to the thirty-nine".<br /><br />Best,<br />J.akidbellehttps://www.blogger.com/profile/12292741599925116131noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-17490333177321084562020-09-07T04:23:27.005-04:002020-09-07T04:23:27.005-04:00Using the complex plane seems to be a dangerous pl...Using the complex plane seems to be a dangerous place to keep ones footing. To cross Morecombe bay's sand flats you need a guide. Else it might work out at 1000 safe steps followed by the next step sinking you in quicksand. QM is linear but it does occupy the complex plane landscape so is it surprising if it ends up in a quicksand on a measurement? <br /><br />There is a simple fractal ben6993https://www.blogger.com/profile/11246990849377879772noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-83251052158565148662020-09-07T02:24:38.787-04:002020-09-07T02:24:38.787-04:00I agree with you, and in the decoherence thread on...I agree with you, and in the decoherence thread on 4:22 AM, August 22, 2020 I wrote: ... I suspect that it is unrealistic to suppose that a particular electron has an average value of exp(iθ) which is zero. A series of buffetings should merely move the path traced out along the [unit] circle for a single individual particle?<br /><br />And the implication for me may be that such decoherence only ben6993https://www.blogger.com/profile/11246990849377879772noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-61699889198465878932020-09-06T23:32:35.436-04:002020-09-06T23:32:35.436-04:00Hawking radiation contains all particles. Could yo...Hawking radiation contains all particles. Could you please not post random question here but in some forum. My comment sections are to discuss the topics of my blogposts. <a href="http://backreaction.blogspot.com/p/comment-rules.html" rel="nofollow">You find the comment rules here</a>. Thank you. Sabine Hossenfelderhttps://www.blogger.com/profile/06151209308084588985noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-56474223680356006342020-09-06T20:16:19.334-04:002020-09-06T20:16:19.334-04:00Regarding:” In all of the universes she has observ...Regarding:” In all of the universes she has observed, she has never seen such an extreme taming of a force! In combination with quantum mechanics, the nominally all-powerful electromagnetic force has been transformed into something many orders of magnitude weaker, but also capable of far greater complexity.”<br /><br />This opinion may have been discredited through recent observations of Axilhttps://www.blogger.com/profile/07190120527431077518noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-52310931203683696122020-09-06T17:48:53.363-04:002020-09-06T17:48:53.363-04:00Pure mathematics is an infinite subject, and the E...Pure mathematics is an infinite subject, and the Egan/Baez problem is very interesting, but for the life of me I cannot see how it is of any use in the real world. I'll stick to physics.Billhttps://www.blogger.com/profile/13243006930165511059noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-25741289358057378092020-09-06T12:08:35.903-04:002020-09-06T12:08:35.903-04:00And now for something completely different. This m...And now for something completely different. This morning as I was first waking a question popped into my mind, perhaps because I recently saw an overview of the Unruh effect. Why should photons be special? Do Unruh and Hawking radiation and any other horizon effects that may exist also involve radiation other than electromagnetic or can they in the right circumstances? Are, for example, gluons, WRobert Atlashttps://www.blogger.com/profile/07499138208587455161noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-26367354105595376732020-09-06T08:21:09.790-04:002020-09-06T08:21:09.790-04:00Gravitation is not really that weak. It appears we...Gravitation is not really that weak. It appears weak because the masses of elementary particles are so small compared to the Planck mass scale. If the masses of elementary particles were comparable to the Planck mass then gravitation would be extraordinarily strong, and in fact the universe would be composed largely of black holes. In this world where the proton is 19 orders of magnitude smaller Lawrence Crowellhttps://www.blogger.com/profile/12090839464038445335noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-76630977239299243762020-09-06T07:54:21.202-04:002020-09-06T07:54:21.202-04:00This comment has been removed by the author.Dr. A.M. Castaldohttps://www.blogger.com/profile/17988116835722393503noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-31134571262538199102020-09-06T07:50:32.352-04:002020-09-06T07:50:32.352-04:00Interesting; I wonder if the limits discussed rece...Interesting; I wonder if the limits discussed recently in Decoherence have a singular limit that might solve the Measurement Problem.<br /><br />Because the limits there produce an "unreal" system, but every one of the near-infinite disturbances in the path must produce a <b>real</b> system. So it looks to me like a singular limit (the unreal system) is being claimed as a discontinuity.Dr. A.M. Castaldohttps://www.blogger.com/profile/17988116835722393503noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-53734328828617794912020-09-06T00:05:35.626-04:002020-09-06T00:05:35.626-04:00Sabine,
Fascinating! From John Baez’s site I gath...Sabine,<br /><br />Fascinating! From John Baez’s site I gather that this integral behaves like an exceptionally long fuse, burning at a snail’s pace across a vast mathematical plateau until it finally falls off at the far edge.<br /><br />-----<br /><br />Regarding the hierarchy problem, I note that in terms of <i>observed</i> force strengths, the electromagnetic force suffers from its own Terry Bollingerhttps://www.blogger.com/profile/03915136249111338024noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-37749116706294738472020-09-05T23:53:02.099-04:002020-09-05T23:53:02.099-04:00I agree that discussion of 'singular limits...I agree that discussion of 'singular limits' does not get as much attention in fundamental physics as it should. Such singular limits might be very important in quantum gravity. A quantum spacetime might yield large scale observables whose 'classical' limit may not correspond to standard GR.Jhttps://www.blogger.com/profile/05400910325012151264noreply@blogger.com