I'm just wondering if I'm being lazy by not trying hard enough or efficient. It's definitely not for lack of curiosity, but I also don't like to fool myself into thinking I understand something that I don't.
I'm just wondering if I'm being lazy by not trying hard enough or efficient. It's definitely not for lack of curiosity, but I also don't like to fool myself into thinking I understand something that I don't.
Leonard Susskind at Stanford has a series of courses specifically aimed at helping people get up to speed in understanding modern physics. Every several months I work up the enthusiasm to watch several lectures, and then I get distracted and forget it all. Clearly, it's because I'm not trying hard enough because there are so many other things to also be curious about. https://theoreticalminimum.com/
But I also wish that physics were less focused on understanding extremes, and more interested in understanding physical systems closer at hand. There are interesting recent-ish results found in the behavior of crumpling paper, collapsing piles of sand, or the 'legs' of wine in a glass. I suspect that we could have much richer conceptual tools for thinking about the physical world actually around us if only more resources went into looking at it, rather than into exploring how laws do or don't break down in extreme conditions that don't naturally exist near earth.
https://news.berkeley.edu/2017/04/11/shoe-string-theory-scie...
(Also thanks to everyone for their responses, a lot of good stuff to check out.)
To defend this approach: Extrema are a good way to get a handle on a problem, which can then be extended.
In programming we almost always have to handle the null case ("what if the graph is unpopulated?") and often an extreme case as well ("What if we end up with 10 million users? How to we quickly respond to XXX").
In physics, like so many other domains, the poles are often the most enlightening region.
However, as you say, work on those extrema rarely translates into more common situations until a breakthrough happens.
Even the extreme case has to be somewhat realistic to be worth considering. Physics has gone way past that point once they started building accelerators larger than cities to detect subatomic reactions. Not saying it's not worth investigating but it's not at all comparable to any practical domain, at this point it's l'art pour l'art.
At the same time I think there's stuff that's much more practical with still a lot of discoveries to be made - like superconductivity.
If the predictions of your hypothesis require a country sized accelerator to test what are the real world applications ?
But if you consider basic research worthless, physics is hardly the only "offender".
You may be interested in the work being done on the connections between QGP and strange metals. Some progress is being made on extending the laws discovered in simple scenarios to complicated situations.
What I hear in this statement is more towards the domains of research engineering as opposed to theoretical physics. Sand piles are of course the bridge between the two ;)
Bridges are an engineering topic, most coastal areas lie on sedimentary rocks, and wormholes, a theoretical physics topic, are also called "Einstein–Rosen bridges."
In other words, while bridges are bridges between sand piles and sand piles, sand piles are bridges between bridges and bridges.
This can be a scientific rather than an engineering discipline, insofar as it's concerned with understanding the behavior of systems, rather than creating a solution which makes a system behave according to our wishes.
We have a limited understanding of "order" or patterns arising out of systems with many aggregating interactions, and often focusing on relatively idealized and isolated systems.
https://www.youtube.com/embed/a6ANMKRBjA8?version=3&modestbr...
That said, theoretical physics has the goal of understanding reality from a reductionist point of view. At the scales that goes from the nucleus to the Solar system there are few questions left. We know the Standard Model and GR and they fit the data perfectly. Of course some questions remain for how things interact when there are many of them (e.g. warm superconductivity) but there are few questions about fundamental laws
You can think about it like bootstrapping an open source system (it was in the homepage today). There are still many technical hurdles downstream but we are interested in reducing the binary blob from which all starts to its perfect minimal form. And the only places we still have not figured out well are things at the limit of our instrument capacity. Black holes (GR and relativity, we still cannot figure out that and proving black hole seems experimentally challenging), exotic particles (what are quarks composed of?), dark matter (why far away galaxies seem to rotate so quickly?), dark energy, inflation, that stuff.
I think physics should be smaller, it has too many graduates. But actually these problems should be researched. They are the fundamental questions that remain and there is a reason that the layman considers this stuff to be "real physics" and not origami folding
Ha, I used to think that a big chunk of physicists by education are employed outside of the field they learned and earn top 10% salary of the industry doing software in financial companies.
Heard more than once that computer science is easier than physics. Physical background helps hugely with software.
(*This used to be case analysis + object oriented ontology, but now there are other language features to map ontologies on to.)
More physicists mean more competition, more physicists mean more people to convince that a radical idea is worth pursuing, and even more so more people to convince that a radical result is true.
If the field was smaller and those in it had more freedom, we might see more interest in exploring new areas. Right now it’s hard to see many people in the field with enough freedom to do anything that isn’t the prevailing orthodox view.
Material science, Chemistry, and Astronomy really cover most of the obvious areas physics could expand into.
We’ve barely touched alternatives to tokamaks and string theory. Blending classical and quantum molecular dynamics simulations is under explored. Improving the efficiency of simulating large scale dynamical systems is under explored.
These are the areas I know offhand, I’m sure every working physicist has ideas they think are worthwhile that they seemingly don’t have time for/can’t get funding for.
- Incrementally improve the existing theory, knowing that some of your goals are impossible and hoping that you don't get stuck on one of these.
- Develop as many inconsistent-but-locally-useful theories as possible along a method for selecting the right one in the right situation.
The latter didn't sit right with him or his contemporaries--more for gut-feel reasons than anything practical--so many of us are stuck in this rut where we just compete for opportunities to participate in the former.
Here's a counterexample:
Einstein chose hyperbolic geometry for arguments about space ships traveling near light speed, but we use spherical geometry for arguments about the shortest path an airplane should take. Those theories disagree about the playfair postulate, so they're inconsistent. Yet we can pretty reliably pick the right one for the job.
And very likely we'll always have competing theories/models at the extremes and they might be inconsistent but they might simply turn out to apply in different regimes, etc.
See also https://en.wikipedia.org/wiki/Model-dependent_realism (coined by Hawking and Leonard Mlodinow)
And let me randomly throw in metallic water too: https://www.youtube.com/watch?v=Vdz18ibX7rE
I don't have a proper education in Physics, but have been trying to self-teach and I think that none of the ~15 minute video channels really cover things to a very detailed degree. You really do need textbooks/lectures/real papers to actually understand it. The channel "Physics Explained" is pretty good for more in depth breakdowns of things, but it is quite dry compared to those other channels and still not really a substitute for a textbook or class.
And I don't even mean learning things well enough to get a job as a particle physicist or anything. Just some things, like say particle spin, just can't be explained in under a few hours and without the math behind them. They don't have a proper intuitive analog to our macro-level world.
Sabine Hossenfelder https://www.youtube.com/channel/UC1yNl2E66ZzKApQdRuTQ4tw
for instance repeating that modified gravity is great and that strings/supersymmetry/etc is bad is a bit weak especially on a science education channel.
i have worked with strings and some of her criticism if founded, repeating over the years that people that work in those domains are intellectual fraudsters (i'm barely exaggerating) is wrong and especially damaging on an educational channel. consequently, there a whole mob of youtube commenters that repeat this (with no context) to whoever wants to hear that.
the same happened with Smolin and his book, following Green's book. TBH LQG is not yet there (despite recent interesting progress) and Calabi Yau compaction don't yield the universe we observe. Modified gravity doesn't seem to work too well too..
so yes, if you remain critical of what she says :)
I'm not a physicist, but she does point out that she thinks dark matter is a combination of modified gravity, and some new particles, and not just one or the other.
Also, she does usually make it clear when she has an opinion and bias towards less supported hypotheses, but it's always on things that don't already have any evidentiary basis, like dark matter.
I mean, it works out basically as well as dark matter. Both are consistent with some observations, and inconsistent with others. Last time this happened we simply postulated wave-particle duality, which is alone the same lines as what Sabine is pursuing.
There are communicators who can pierce through this effectively. However, they tend to be researchers who do not have the time to spend writing pop-sci articles.
That said, if you can handle basic high school math, you don't need any leaky abstractions for special relativity: explain experiment with speed of light measurement and it's consequences, then explain thought experiment about the light clock and mathematically derive time dilatation out of it.
https://en.wikipedia.org/wiki/The_Black_Hole_War
And if you care about understanding physics you absolutely have to check Susskind's "the theoretical minimum" videos. He explains advanced concepts with remarkable clarity. You really can grok string theory if you watch some of his series
Just imagine, that we have a game, where we want to accurately predict next frames of a video. It's an interesting game on its own, because you need to understand deeply what happens on the video to be able to accurately predict behavior of all objects, animals, and persons in the video.
Such game requires a lot of skill, to accurately guess and predict, but most of the time it's not important for us, mere mortals. For example, we put a lot of effort into OpenGL, PBR, physic engines, etc. to make realistic games. Do you feel obligated to study all of that when you are interested in a realistic fly simulation? Do you feel obligated to study construction of AK when you like to play a 3D shooter?
If you really want to understand physics, then I suggest to perform experiments, or play with a physical simulation, or, even better, to implement your own physical simulation. Look, for example, at this beautiful simulation of black hole done in OpenGL shader:
https://ebruneton.github.io/black_hole_shader/demo/demo.html https://www.youtube.com/watch?v=_hhOd7GDboM https://github.com/ebruneton/black_hole_shader https://ebruneton.github.io/black_hole_shader/paper.pdf
For instance, this physicist reportedly "Discovered an Escape From Hawking’s Black Hole Paradox". If true (I presume it is), this implies that other physicists before her didn't understand the black hole paradox all that well!
It also implies that you'll never get a crystal clear understanding of it from reading popular science.
I've often felt part of the problem here is the relative decrease of manned missions in space, which are not the best bang for the buck in scientific terms, but at one time created a widespread of view of 'humanity's future in space' that provided the motivation for and wide public interest in many scientific endeavors.
Nowadays, there's a widespread feeling that planet earth has got very crowded and there aren't as many opportunities for big new discoveries (the sort that can be appreciated by anyone without specialist education/training), that the long-term viability of our habitat is Not Great, and that the prospect of space exploration is too remote and costly to have any impact on the lives of ordinary people, but is limited to a microscopic scientific or financial elite.
Of course, this is somewhat irrational; as a society we've chosen to have ubiquitous worldwide real-time communications devices that would have once seemed limited to star Trek. Computing has made big science small enough to fit in our pocket and allowed anyone who is really interested to be a software maven. But it's not as spectacular as the future anticipated a few decades ago.
One positive thing is that if you just pick up the university books/papers, there's no exam. You can just read them for understanding the concepts instead of for passing tests.
I picked up a book about relativity (both) years after graduating, and it was an interesting read. I won't claim to understand how Ricci tensors work, but it made sense at the time.
No, I'd say physics/math is uniquely hard in this regard.
A lot of stuff in the humanities, you can still get the gist of a paper even if you're not precisely familiar with the field, authors, etc. Then read a couple of textbooks, a handful of survey articles, all of which is a few days' reading, and you'll understand nearly of all it.
But physics? A well-educated layperson can read a paper and not have the slightest idea what any of it means, no clue whatsoever. And a few days' reading isn't going to help much -- it's quite likely to need a couple years' of study at a minimum to understand the context of the paper.
Remember, math/physics isn't just its own subject, it's its own language. For most people, the average math/physics paper might as well be written in Chinese. While a history, sociology, or political science paper is incredibly more accessible.
Old: Errant entropy curve (Hawking's entropy calculation) due to wrong black hole surface area used
New: Resolved entropy curve (Page curve) via quantum-corrected surface area (quantum extremal surface)
For me it was less clear in part because it raised the question: "what is a quantum extremal surface?", which doesn't really seem to be answered in the Quanta article.
Perhaps I could persuade you to try your hand at your terse sort of summary for the interviewee's two-author paper https://arxiv.org/abs/1408.3203 (Engelhardt & Wall, E&W2014) defining quantum extremal surfaces, and having done so return to and similarly summarize the part of the Quanta Magazine article where the interviewee is asked (several years later) about applicability of these defined surfaces outside higher-dimensional anti-de Sitter space supporting a conformal field theory on its timelike (n-1)-spherical boundary, Maldacena-style. (cf. end p.23 E&W2014 and their footnote 6). Such a summary could enlighten one or both of us, and perhaps other readers, and at the very least I'd be grateful (since I have no idea how to capture what quantum extremal surfaces are in only a line of text).
(The open access https://link.springer.com/article/10.1140/epjc/s10052-020-08... is likely to be of some help, its SdS_4 spacetime being a decent approximation of a late-time isolated galaxy cluster in an expanding Robertson-Walker universe. Our standard cosmology models our universe in a way which one might describe reasonably as expanding RW -> dS_4 equipped with a dusty distribution of matter such that at late times most mass -> "dust grains" that resemble SdS's Schwarzschild submanifold. Cf. https://en.wikipedia.org/wiki/De_Sitter%E2%80%93Schwarzschil... ).
I don't think anyone else specifically said this, so allow me to be one of the few who say you're being efficient. Sure, you could spend time to understand this stuff, and yes it's important knowledge for the world/society, but knowing about black holes really isn't going to change anything you do, unless you're a physicist or working on something involving deep space (and likely not really then either).
Sometimes esoteric knowledge is useful in other areas, and sometimes learning esoteric knowledge is fun or helpful to build learning skills, but sometimes it's just more junk to fill your brain sponge with. If it doesn't tickle your interest, leave it be and it's fine. If it becomes useful, chances are over time more ways to explain it will have been made and some might be more comprehendable by you.
PBS spacetime is one that seems informative while giving enough clarifications. Including looking into a few pop sci theories, explaining what they would mean, and ending with why science don't consider them as serious explanations.
You can also find some more math heavy explanations and slowly build your math skills to be good enough to understand the physics that uses it.
The good news is, as others have already suggested, this level of education is now very accessible by e.g. YouTube channels:
https://youtube.com/c/pbsspacetime
https://youtube.com/c/SabineHossenfelder
https://youtube.com/playlist?list=PL701CD168D02FF56F (Susskind, The Theoretical Minimum: Quantum Mechanics)
I would add the channels:
https://youtube.com/user/EugeneKhutoryansky
https://youtube.com/user/minutephysics
and the MOOC Brilliant.org
That said, I’m still definitely in the “undrergrad” level despite all this; I can recognise the equations of GR and QM, but not use them, and there’s plenty which I know I must be misunderstanding.
With the caveat that you must work on on every problem set you are confronted with.
An essential part of a physics education is struggling over extremely hard problem sets. (I'm assuming/hoping these channels offer decently hard problem sets.) This more than lectures teaches you how to flail about in unknown areas of physics and to gauge your own understanding. This I think is a physicist's superpower.
Indeed; this is where brilliant.org makes its sales pitch. And, thankfully, when its physics courses went beyond my level of mathematics, it also has a mathematics course which I’m hoping will get me up to the right level.
I recall years ago mentioning offhand to someone that I read SIGPLAN proceedings and their eyes bugged out and they asked if I could understand those. I said “only about 3/4s” but I knew exactly what he meant. Learn to human.
That said, check out scienceclic. They do good run downs of BOTH the metaphorical stuff AND the math that underpins it. PBS spacetime is a fun place to check out too. Between the two of them, you should have enough of an idea of these things to wax scientific at a cocktail party.
It's complicated and worth the time to understand what they present.
I don't think you're lazy or not trying hard enough. The truth is just that… it's a hard and long road. Even more so when you're studying by yourself.
I took about the straightest path you can take to learning Quantum Mechanics and General Relativity (and all the math you need for it), attending classes and sitting down on my butt every day for 3 to 4 semesters. There are ways to shorten it but I'm not sure how rewarding that would be.
It also depends on what you mean by "understanding". If you really want to understand things at the deepest level possible, there's no way around a university-level education. I'm saying "university-level", not "university", because one could certainly learn these things on one's own. But to be honest with you I think chances of pulling this off are very small, mostly because physics outsiders don't have access to the same resources or social networks as enrolled students, which makes studying even more frustrating.
Anyway, FWIW here's a roadmap for learning General Relativity at the deepest-possible level along with the minimum timeframe needed (IMO) and the most important topics / keywords you really need to understand well:
Linear Algebra (1-2 semesters): vector spaces, linear maps, dual maps, matrices, symmetric bilinear forms – These things lay the foundation for pretty much anything in math and are needed to understand differentiation in several variables (see below) as well as pretty much anything in Differential Geometry and Relativity.
Real Analysis (1-2 semesters): Mostly differentiation of functions of one to several variables + a bit of integration theory – needed for pretty much anything in Differential Geometry and Relativity (especially coordinate changes and manifolds) but also in mechanics.
Differential Geometry aka (Semi-)Riemannian Geometry (1 semester): manifolds, tensors, metric, connections, geodesics, curvature – These concepts are at the heart of General Relativity
Mechanics (1-2 semesters): Newtonian Mechanics, Lagrangian Mechanics, Special Relativity (all with a focus on both theoretical and experimental physics) – without these there's no hope of understanding (or appreciating) the physics content of GR
General Relativity (1 semester)
(Side note: Don't let anyone tell you that you don't really need Differential Geometry and all the other math to understand Relativity. They're lying and probably don't really understand Relativity, either.)For quantum mechanics it's a bit shorter because the math is not as involved (at least to understand the basic concepts:
Linear Algebra: (1-2 semesters): (finite-dimensional) vector spaces, linear maps, dual maps, matrices, symmetric bilinear forms – No way around this. 99% of quantum mechanics is encoding fuzzy concepts in linear algebra.
Mechanics (1 semester): Newtonian Mechanics, Lagrangian Mechanics
Quantum Mechanics
Bonus: Hilbert space theory, basics in functional analysis