When Conservation of Energy FAILS! (Noether's Theorem)

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  • čas přidán 21. 05. 2024
  • Go to audible.com/thescienceasylum or text 'thescienceasylum' to 500 500 to get started today. Is energy always conserved? Well, Noether's theorem in combination with Lagrangian mechanics and general relativity tells us that isn't true in general.
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    VIDEO ANNOTATIONS/CARDS
    Lagrangian Mechanics:
    • Lagrangian Mechanics: ...
    What the HECK is Energy?
    • What the HECK is Energy?
    Noether's Theorem Explained:
    • Noether's Theorem Expl...
    ________________________________
    RELATED CZcams VIDEOS
    PBS Space Time on Energy Conservation:
    • What is Energy?
    • Noether's Theorem and ...
    Physics Girl on Energy Conservation:
    • Is energy always conse...
    Minute Physics on Energy Conservation:
    • A Simple Proof of Cons...
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    ________________________________
    TIME CODES
    00:00 Intro
    00:21 Conserved Quantities
    01:14 Energy Transformation
    01:58 Conservation of Energy
    02:27 Noether's Theorem
    03:06 Time Translation Invariance
    03:39 Principle of Stationary Action
    04:20 The Spacetime Lagrangian
    05:07 Cosmic Microwave Background
    05:46 Dark Energy
    06:37 Summary
    06:57 Outro
    07:21 Sponsor Message
    08:19 Featured Comments

Komentáře • 2,1K

  • @AndrewDotsonvideos
    @AndrewDotsonvideos Před 4 lety +822

    Really helpful as I insist on only learning through squirrel motion examples.

    • @ScienceAsylum
      @ScienceAsylum  Před 4 lety +119

      I saw your "Undergraduate vs Graduate Physics" video a while back and laughed so hard I got hiccups.

    • @Eigenbros
      @Eigenbros Před 4 lety +22

      A wild Dotson appears 😎😎

    • @johnbode5528
      @johnbode5528 Před 3 lety +10

      @@ScienceAsylum "what exactly _is_ spin?" got me.

    • @AdityaKumar-ij5ok
      @AdityaKumar-ij5ok Před 3 lety +6

      @@ScienceAsylum you and Andrew should definitely do a collab(any topic), it will be a must watch for me!!

    • @krishnasimha8097
      @krishnasimha8097 Před 3 lety +2

      Hey Andrew

  • @IllogicalMachine
    @IllogicalMachine Před 4 lety +738

    "Potential energy is stored in the balls."
    -Particle Physicists

  • @DanteKG.
    @DanteKG. Před 4 lety +137

    Emmy Noether is quite likely the most intelligent person of the 20th century. Brutally intelligent.. Physics had a crisis that no one could solve so they asked her for help.. She proceeded to formulate her theorem which links continuous symmetries to conservation laws. Her field is abstract mathematics (abstract algebra to be precise) and was described as reasoning about operators in a completely different way than her peers. She was a professor in the most prestigious math college in germany but because women weren't allowed to teach at college back then she had to officially work under the name of a collegue and without pay...
    For years the most brilliant mathematician was teaching students at the top faculty for mathematics and she did it for free

    • @ScienceAsylum
      @ScienceAsylum  Před 4 lety +45

      Her contributions were revolutionary.

    • @Warlord_Megatron
      @Warlord_Megatron Před 2 lety +8

      Thanks for the info :)

    • @MattMcIrvin
      @MattMcIrvin Před 2 lety +7

      Noether's Theorem to physicists is like water to a fish. It's just everywhere.

    • @educatedguest1510
      @educatedguest1510 Před 5 měsíci

      Conservation of energy does not work only with time dilation, and works perfectly within absolute time. And so are all Newton's laws, momentum conservation, and even particles entanglement. Check "Is Energy Conserved in Variable Time? All real systems (macro and micro) experience time dilation."

  • @DavidFMayerPhD
    @DavidFMayerPhD Před 4 lety +396

    You are the ONLY person I have found on the Internet who CORRECTLY explains Conservation of Energy and Wave Function Collapse. Kudos to you.

    • @Blox117
      @Blox117 Před 4 lety +60

      you conserve energy by turning off the lights, and waves collapse on the beach. gosh its not like this stuff is difficult!

    • @Warlord_Megatron
      @Warlord_Megatron Před 2 lety +3

      @@Blox117 thanks lord blox for this knowledge.

    • @Warlord_Megatron
      @Warlord_Megatron Před 2 lety +5

      @@Blox117 my lord, can you explain me that where all the energy which is present in our universe came from? Maybe big bang but where did big bang get it from?

    • @kiraPh1234k
      @kiraPh1234k Před 2 lety +2

      @@Warlord_Megatron What a strange question to ask someone who just made a joke.
      Is that normal for you? You hear a joke and then ask the comedian a question nobody has been able to answer yet?

    • @TheCollectiveHexagon
      @TheCollectiveHexagon Před 2 lety +2

      @@Warlord_Megatron Thats the thing: its always been here
      the only thing that change is its location and distribution

  • @planckvanilla8997
    @planckvanilla8997 Před 4 lety +43

    03:05 I love how it shows the earth burning a 100 years from now.

  • @randomisedrandomness
    @randomisedrandomness Před 4 lety +415

    Ooooohh, so that's why squirrels in my park explode...

    • @_Arminius
      @_Arminius Před 4 lety +9

      Indeed, so there might be truth in that old wives tale that Lemmings explode too... 🤔

    • @ScienceAsylum
      @ScienceAsylum  Před 4 lety +31

      @@_Arminius I used to have the old Lemmings game. I like puzzle solving games.

    • @henrymarckisotto9025
      @henrymarckisotto9025 Před 4 lety +1

      This is hilarious thank you. And I totally pictured lemmings too lol I miss that game they should make a new phone version. A good one

    • @mal2ksc
      @mal2ksc Před 4 lety

      Nah, there's just a shortage of whale carcasses to explode and _they_ need to stay in practice. 💥

    • @gustavgnoettgen
      @gustavgnoettgen Před 4 lety

      @@ScienceAsylum "UUEEH!"
      * *SPLAT!*

  • @FLS96
    @FLS96 Před 3 lety +181

    Weird how this is still widely regarded as an exact law of physics, altrough it is known to not hold for a long time. Another one is the 2nd law of thermodynamics: there's an extremely small, but non-zero probability for entropy to decrease in an isolated system.

    • @ScienceAsylum
      @ScienceAsylum  Před 3 lety +149

      Most people don't need to know about this long-time exception, so it's often just easier to lie about it to emphasize the importance of the principle. A lot of the time, successful teaching is knowing exactly how much to lie.

    • @ralfbaechle
      @ralfbaechle Před 2 lety +19

      Let's not forget how quantum theory shakes it left and right as well.
      That said, for most applications treating energy anything other than conserved is very pedantic and totally unhelpful. I'm sure NASA hasn't even thought about it when sending space probes to the wastelands of the outer solar system.
      That said, while Noether's Theorem makes a big dent into the holy priciple of the concervation of energy, the concervation of energy for a long time indeed has been a holy foundation of physics like so many other asumptions. Newtonian physics was improved by the relativity. Atoms once were considered indivisible, then electrons and the nucleus were discovered, it was discovered that the nucleus is made from two types of particles which eventually again were discovered to be composed from yet smaller bits and pieces. Like so many principles one should keep in mind that they're helpful shorthands that hold up when looking at things from a certain distance but fail close scrutiny.

    • @winniepooh4130
      @winniepooh4130 Před 2 lety +5

      @@ralfbaechle If I remember correctly then in the vacuum of space or where (I don't remember exactly if it's some dimension or what but obviously in this universe) energy is actually being created but it's of lowest potential so that's why we can't extract it. The zero point energy if I recall correctly.

    • @suryanarayan2032
      @suryanarayan2032 Před 2 lety +1

      Yes, in an isolated system. Doesn't the second law state that net entropy always increases?

    • @ecicce6749
      @ecicce6749 Před 2 lety +6

      @@suryanarayan2032 it says "tends" to increase. I think Brownian motion or the Brownian Ratchet shows it's not really a law but just an observation of the most common case.

  • @otakuribo
    @otakuribo Před 4 lety +44

    You have a gift for turning complex physics math salad into intuitive concepts with these animations; like the energy bar changing over time to show where the energy is but that the overall amount of energy you're looking at is still the same.

  • @mrudulvemuri182
    @mrudulvemuri182 Před 4 lety +74

    Somebody said "We imagine that the universe is strange. But, in reality the universe is stranger than we can imagine." The universe is under no obligation to make sense to us.

    • @mrhatman675
      @mrhatman675 Před 4 lety +4

      It s like everytime the universe evolves and new laws exist wtf

    • @mrhatman675
      @mrhatman675 Před 4 lety +5

      I bet there s going to be a new form of physics that says everything in relativity and quantum mechanics is partially false in the certain extreme circumstances

    • @namidawhamida5958
      @namidawhamida5958 Před 3 lety +3

      @@mrhatman675 you are already correct

    • @jaredgarbo3679
      @jaredgarbo3679 Před 2 lety +3

      @@mrhatman675 You are right.

    • @mrhatman675
      @mrhatman675 Před 2 lety +1

      @@namidawhamida5958 what happened?

  • @ibanix2
    @ibanix2 Před 4 lety +270

    PETA called, they're asking about your non-conservation of squirrels
    But seriously, great episode

    • @BainesMkII
      @BainesMkII Před 4 lety +8

      Maybe it is just a really defective clone, and not a squirrel at all.

    • @jamestheotherone742
      @jamestheotherone742 Před 4 lety +6

      @@BainesMkII #defectiveclonelivesmatter

    • @adeshpoz1167
      @adeshpoz1167 Před 4 lety

      @@jamestheotherone742 hahaha

    • @Warlord_Megatron
      @Warlord_Megatron Před 2 lety

      @@jamestheotherone742 lmao

    • @vinnyhorapeti2461
      @vinnyhorapeti2461 Před 2 lety

      @@Warlord_Megatron please watch gary yourofsky's speech on veganism on CZcams please and end animal cruelty also check out earthling Ed, Dr neil Barnard, mic the vegan , Dr michel greger and joey carbstrong for more info and insight 😇💚

  • @alexanderalden3318
    @alexanderalden3318 Před 3 lety +23

    I died at “conservation of energy is sometimes violated”

  • @raphaelalcantara3248
    @raphaelalcantara3248 Před 4 lety +27

    This ist the only channel in YT that I watched every single episode, best science channel!

  • @bucke9228
    @bucke9228 Před 4 lety +270

    I lose my conservation of energy every morning when I wake up.

  • @SaberTooth2251
    @SaberTooth2251 Před 4 lety +24

    I really like seeing videos that call back on previous videos to allow for a complex subject to effectively be communicated in a quick video.

  • @Zubzub343
    @Zubzub343 Před 4 lety +4

    Really love your channel. Especially the fact that you try to go a bit beyond what usual popularization physics channels do while staying simple ! Keep going through "untold" subjects :)

  • @LookingGlassUniverse
    @LookingGlassUniverse Před 4 lety +46

    Wow, amazing video Nick! I didn't know that! Super interesting :)

  • @SilverAlex92
    @SilverAlex92 Před 4 lety +15

    wow the thumbnail was genious! I always loved your conservation of energy running gag, so this ep feels like a conclusion to a plot line that you have been setting for some years.
    Also its good to see some love for Noether, she was a true maths and psychics badass

  • @yadav-r
    @yadav-r Před 2 lety +4

    Not a Physics student, you explain things so clearly & in such a digestible way, I enjoy watching it. even though I might not use that in a professional capacity. Great to find your channel. Good Day.

  • @0ttt3R
    @0ttt3R Před 4 lety +3

    Love finding a new science channel to binge watch - amazing stuff, thank you!

  • @anonkiddo
    @anonkiddo Před 4 lety +2

    I'm so glad I found this channel, already subscribed!!

  • @herbie909
    @herbie909 Před 4 lety +10

    I never thought about those two exceptions changing the actual quantity of energy in the universe, but that seems obvious now. Thank you for pointing that out! Your videos are a joy to watch as well as informative.

  • @vikashkotteeswaran700
    @vikashkotteeswaran700 Před 4 lety +6

    you are just awesome sir!!! before seeing this video i thought that there wouldn't be any source of 'noether's theorem and conservation of energy in large scale' that suits me, but this video gave a great outlook on the concept. I think u must release a book on some concepts which are not familiar and not explained well or which are of inadequate of sources that suits people like us

  • @shivakarthik7373
    @shivakarthik7373 Před 3 lety +1

    Cool video! Awaiting more solid videos on Generalizations and co-ordinate transformations.

  • @lonneke1725
    @lonneke1725 Před 4 lety +3

    awesome vid as usual! I found your channel last week and binge watched all your videos! I have a request - i'd like to see more quantum mechanics/theory videos. I've been wondering about quantum particles and how QFT relates to the larger macro world. thx!

  • @bhaswatidasgupta8055
    @bhaswatidasgupta8055 Před 4 lety +8

    I just wanted to say thank you. 😊 Because every time I watch your videos I fall in love with Physics, Mathematics and this Universe..... Wonderful and Informative videos. Keep up this great work.

  • @bdpc-dk2xb
    @bdpc-dk2xb Před 4 lety +6

    Been a fan for years, glad to see the channel is steadily growing, but it's a fricken crime this isn't the number one science channel on youtube.

  • @artinzareie4806
    @artinzareie4806 Před 2 lety

    If you could make some videos to explain more about those equations I would like that so much. I can't find anywhere else where the explanation is as good as you do.

  • @monkbunk1396
    @monkbunk1396 Před 2 lety +12

    "Conservation of energy shell not be violated!" Gets funnier every time.😆

  • @nokian9005
    @nokian9005 Před 2 lety +13

    I just want to say that you're on the same level to me as "physics videos by eugene khutoryansky". Both you and Eugene do a fantastic job at teaching difficult subjects and making abstract AF concepts actually "click" and finally make sense. I've never had as many "eureka I finally understand this" moments from the same creator as I've had from watching your videos.
    If Richard Feynman was alive and had a CZcams account, I'm sure that he would have been a great fan of your content.
    Keep up the great work. The world needs more videos like yours.

  • @Mckeycee
    @Mckeycee Před 4 lety +10

    finally thank you for clearing this up I have been wondering about this for a while

  • @ABC-cr9mi
    @ABC-cr9mi Před 4 lety +2

    I honestly don't how your channel only has 152k subs, you deserve millions, I guess you just need a video to go viral to get the exposure. good luck

    • @anderstopansson
      @anderstopansson Před 4 lety

      The majority of people(like 85%) is not the clever one. Everyone subscribe to what they understand or what´s trendy on main stream media... Good luck with the elections!

  • @rajatkarmakar4586
    @rajatkarmakar4586 Před 2 lety

    Great video as always. I would like to mention another situation. During Meson exchange inside atomic nucleus conservation of energy is violated all the time. Heisenberg's uncertainty principle ∆E∆t>h/(4π) allows it. In this case ∆E∆t

  • @natealbatros3848
    @natealbatros3848 Před 4 lety +4

    I've thought a couple days ago about that, it seemed unreasonable that the universe is expanding but the amount of energy stays the same.
    by the way, love this channel youre making science understandable for everyone.

  • @rekhamishra9208
    @rekhamishra9208 Před 3 lety +9

    I love it when he says "Conservation of energy shall not be violated", but this video made me think, like crazy, hope you keep this up.

  • @TunaAlert
    @TunaAlert Před 2 lety +1

    A few days ago the question of where the energy of the CMB goes as it gets redshifted by expanding space has popped into my mind, so thank you for answering that!

  • @paulvale2985
    @paulvale2985 Před 4 lety +3

    Yet again elegantly explained. Thanks. Best science vids on YT.

  • @karabomothupi9759
    @karabomothupi9759 Před 4 lety +53

    One of the best physics channels. Up there with PBS Space-time

    • @TheChrasse
      @TheChrasse Před 4 lety +24

      @@Neoprototype That channel might just be aimed for just a bit more knowledgeable audience. Doesn't make it a bad channel.

    • @mask3dal3xx
      @mask3dal3xx Před 4 lety +5

      patrick henry Why? It is not crap.

    • @seangeiger45
      @seangeiger45 Před 4 lety +7

      @@Neoprototype I'm not sure you've ever even watched PBS Space Time, because Matt goes into great detail explaining the concepts (sometimes too much). Just because it may not be a style that you enjoy doesn't mean he's not explaining.

    • @Tore_Lund
      @Tore_Lund Před 4 lety +1

      @@TheChrasse Sometimes you can just hang on with the tip of your fingernails, other episodes of PBS spacetime are for 5'th year theoretical physicists that read up on obscure 1800' theories in their sparetime.

    • @lyrimetacurl0
      @lyrimetacurl0 Před 4 lety

      At least PBS Space Time doesn't think conservation of energy can be violated.

  • @5pecular
    @5pecular Před 4 lety +61

    In the beggining God said Let there be light, then light redshifted

  • @Lucky10279
    @Lucky10279 Před 3 lety +2

    I asked a question about this topic online and I was quite surprised at how many physics literate people didn't know about this exception to energy conservation. I'm not surprised the average person doesn't know about it, but I thought most physicists would. On the bright side, I've already linked to this video twice in response to people who didn't know about. Hopefully you'll get some new subscribers.

    • @Warlord_Megatron
      @Warlord_Megatron Před 2 lety

      But I didn't get that where did universe get it's energy from? From the big bang? But then where did big bang get the energy from?

    • @Lucky10279
      @Lucky10279 Před 2 lety

      @@Warlord_Megatron We don't know.

  • @jlpsinde
    @jlpsinde Před 4 lety +2

    Great video, as always! Man you deserve more subscribers! Ly

  • @globaldigitaldirectsubsidi4493

    You really make it understandable. An ethical channel!

  • @AbhishekSingh-xe8ij
    @AbhishekSingh-xe8ij Před 4 lety +3

    Your electrodynamics series helps a lot, more of that please!!

    • @ScienceAsylum
      @ScienceAsylum  Před 4 lety +3

      I'm getting back to it soon. I needed a break. The channel was turning into "the electrodynamics channel" and I didn't like it.

  • @physicsde-mystified
    @physicsde-mystified Před 4 lety +1

    Great topic - challenges the current thinking. But, quite reasonable once you apply the cosmic time scale aspect and its affect on time translation invariance. Fascinating.

  • @TheyCallMeNewb
    @TheyCallMeNewb Před 4 lety +1

    So generous a patron supporting the obviously worthy Asylum. I hope to follow the example post-university!

  • @robertschlesinger1342
    @robertschlesinger1342 Před 4 lety +4

    Excellent video and well worth multiple viewings for students.

  • @InssiAjaton
    @InssiAjaton Před 4 lety +4

    Just as you stated at least twice, the variations on our everyday life are so tiny that we might as well just ignore them. Which is good, because so many of my required calculations during my studies depended on the principle of energy being conserved. Otherwise, I probably would not have got my degree.

  • @thevigilantone5902
    @thevigilantone5902 Před 3 lety +3

    Very interesting, I was just wondering and I couldn't how energy is always conservating if we have this issue of dark energy and CMB, Thank you, You explained it in a very fun and understandable way.

  • @samuelowens000
    @samuelowens000 Před 4 lety +34

    I literally found this channel this week, and have binge watched the whole thing. I think I may have gone a little crazy 🤪 (but that's OK 😆)

  • @ladenbinosama7534
    @ladenbinosama7534 Před 4 lety +3

    I love your videos you are amazing at explaining things I wish you could do more of them

  • @anatheistsopinion9974
    @anatheistsopinion9974 Před 4 lety +19

    5:14 That sound effect cracks me up every time XD

    • @mal2ksc
      @mal2ksc Před 4 lety

      I didn't even realize it wasn't part of the background music track, since it's right in key and all.

    • @diggerpete9334
      @diggerpete9334 Před 4 lety

      I don't get it.

  • @hindigente
    @hindigente Před 4 lety +2

    Complex concepts with if not simple, great explanations!

  • @johnrivera922
    @johnrivera922 Před 3 lety +1

    One of my favorite channels. And fry was in the hitchhikers movie. The good one. Mos Def

  • @RobinPillage.
    @RobinPillage. Před 4 lety +6

    YDT is the man! (or lady, not sure which😊)
    And as usual great video. This is one of the best channels by far. Not to mention important. imo

  • @Mathieu_Matheow_Benoit
    @Mathieu_Matheow_Benoit Před 4 lety +54

    I know what is NOT conserved...my previous physics knowledge...AGAIN 😫😬

  • @theglobalgossip1539
    @theglobalgossip1539 Před 4 lety +1

    Nicely explained! Thanks Nick.

  • @felipemldias
    @felipemldias Před 2 lety +1

    This channel deserves many more subscribers

  • @fidelio6311
    @fidelio6311 Před 4 lety +78

    I told this to my friend. He may think I am crazy now.
    i guess I'm in the right place :)

    • @TheOtakuPrince
      @TheOtakuPrince Před 4 lety +4

      Dont worry. Your not alone. Actually I cannot believe it. If the first rule of thermodynamics fails on the cosmic level then something is wrong.

  • @flannn6
    @flannn6 Před 4 lety +8

    OMG! He made an entire video about it! ahahaha so funny! It seems like whenever we get closer to fully understand something the universe somehow blow it away. xD

  • @Joshua-cs5rb
    @Joshua-cs5rb Před 2 lety +1

    Your squirrel motion examples help me understand so much better.

  • @anthonydestra4303
    @anthonydestra4303 Před 4 lety +1

    Aside from your wacky delivery, you have got to be the best teacher I've ever run across. Great presentations. Thank you.

    • @ephemeralvapor8064
      @ephemeralvapor8064 Před 4 lety

      What do you mean aside from..? His wacky delivery is a great form of humor and engagement for personalities like mine... It's like a teenage genius enjoying a state of mania that grew up further to be relatively calm and disciplined.

    • @anthonydestra4303
      @anthonydestra4303 Před 4 lety

      @@ephemeralvapor8064 That's the crux of it. It does not suit my personality. I'm just too serious

  • @djmarshmallow2528
    @djmarshmallow2528 Před 4 lety +9

    "conservation of energy shall not be violated" I want that on a t-shirt!

  • @patrickfrank7397
    @patrickfrank7397 Před 4 lety +12

    @The Science Asylum What makes you so sure that the energy gain from dark energy is not compensated by an energy loss in other (potentially unknown) quantum fields?

    • @nibblrrr7124
      @nibblrrr7124 Před 4 lety +1

      The energy in those hypothetical fields would still count towards the total energy density in the Friedman equations that describe the expansion of space. So AFAIU then there would be no accelerating expansion we could observe, and thus no need to postulate dark energy in the first place.
      Plus, y'know, the complete lack of evidence or theoretical necessity for any such field. :^)

    • @justdave9610
      @justdave9610 Před 3 lety +2

      If it's balanced by an energy loss that would be gravitational potential energy which is a negative number but I'm not smart enough to know if this even comes close to balancing out

    • @Johncornwell103
      @Johncornwell103 Před 3 lety

      Dark Energy makes up 70% of all known energy/mass in the observable universe.
      That quantum field you postulate would probably already be discovered by now.

  • @pguti778
    @pguti778 Před 4 lety +1

    Very good video!! Keep on doing these!!!

  • @Chad_Thundercock
    @Chad_Thundercock Před 4 lety +2

    3:04
    I appreciate what you did there.

  • @tommywhite3545
    @tommywhite3545 Před 4 lety +4

    Haha 🙂. But mostly WOW and Woh .. and 🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔 so, hmm .. but it is unclear where this dark energy (vacuum energy) comes from?
    And to truly understand this I guess I need to go study Noether's theorem and Lagrangian mechanics (more) and pff you mentioned some terms and equations I never even heard from .. so could you give me some advice?
    One of your best imo 👍!!

  • @unname8486
    @unname8486 Před 4 lety +6

    Isn't 1:40 incorrect. There should be some kinetic energy left at the top, because a squirrel still has horizontal velocity.

    • @ScienceAsylum
      @ScienceAsylum  Před 4 lety +7

      CRAP! No matter how much I double and triple check things, there's always a mistake. I'll pin a comment.

    • @billjensen401
      @billjensen401 Před 3 lety

      Great catch!

  • @patovega
    @patovega Před 2 lety

    Thanx for wrecking my brain every day!! keep it up!!

  • @MattMcIrvin
    @MattMcIrvin Před 2 lety +2

    I like this guy, he includes all the caveats and edge cases. And this is one.
    It's possible to stick an extra term for spacetime into the energy density of the universe such that it's still conserved. But that quantity is dependent on the coordinate system you choose. In other words, it's not a thing, not physical, just a bookkeeping contrivance.
    If I recall correctly, this whole issue really hung up Einstein when he was developing general relativity. He felt there ought to be a conserved contribution to his energy-momentum tensor for spacetime itself. But he couldn't do it in a coordinate-independent way and he eventually just gave up on it, which let him move forward. Not long after, Emmy Noether clarified what the trouble was.

  • @SirWussiePants
    @SirWussiePants Před 4 lety +4

    Question: if the CMB is shifted to lower energy due to the expansion of the universe - isn't that energy just spread out over more space making the sum of the energy the same across the universe, but less only locally?

    • @ScienceAsylum
      @ScienceAsylum  Před 4 lety +5

      The total across the universe is _also_ less.

  • @dankuchar6821
    @dankuchar6821 Před 4 lety +14

    Energy is always conserved!
    Expanding universe, "Hold my beer."
    Conservation of energy works for closed systems. An expanding universe is NOT a closed system. It's that simple.
    I think. 👍

    • @snekwrek5454
      @snekwrek5454 Před 4 lety +4

      It is, no energy is added from the environment, infact there is no observable and as far as we know, intractable environment, so it's a bit more complicated than that.

    • @neil2444
      @neil2444 Před 4 lety

      Maybe what we think of as dark energy is merely energy and matter existing in parallel universes. Point in favor for many-worlds interpretation of quantum theory?

    • @pawemarsza9515
      @pawemarsza9515 Před 3 lety +2

      @@neil2444 it makes no sense, at all. Why, and how, would parallel universes interacted with ours, and why in a way that they transform energy from their universe to ours, and in a very specific way, that it is spread evenly in the whole space

    • @neil2444
      @neil2444 Před 3 lety

      @@pawemarsza9515 How does dark energy interact with us at all? It's just a theory, and it makes as much sense as claiming 80% of all energy just exists, despite not having any proof of said energy. My point was just that if positioning of particles is a probability wave function, then finding that particle in its most probable spot is just a sliver of that entire probability wave function. Maybe the universe is the whole probability wave function, not just the sliver where you find the particles.

  • @haddow777
    @haddow777 Před rokem

    I've had questions about this for a while. In another video, someone showed that Planck's constant is used in the measurement of energy in a photon. This makes sense that the smallest indivisible unit of measure for distance is used to measure the smallest indivisible unit of electromagnetic radiation, the photon.
    How though, does the universe expand the fabric of spacetime? The two possible methods I can see is, either it just gets larger, inflating through increasing the size of Planck's constant. You increase the constant, and everything gets larger, stretched out.
    The other way, is new space is added somehow. Some some portion of space has a specific number of Planck measurements and then it has one more than it used to. So, space expands at the fundamental level by increasing its dimensions, thus adding to its ruler. Basically, at one time you had thirty skittles in a row, then over time you have 31. Over time, new skittles get added, increasing the total.
    In this scenario, couldn't it be that as a photon is traveling through space, this expansion stretches the photon, adding space to it too? In this event, the photon stretches past the indivisible size of a single photon and divides into two photons. In this way, the energy, thus the frequency, is divided amongst the photons. Each contains carries a lower frequency, divided from the total original frequency. Thus, the energy is divided up amongst the photons and not lost.
    That makes more sense to me than so much energy just going out of existence.

  • @JanPBtest
    @JanPBtest Před 2 lety

    2:30 I think it goes only one way: the presence of (infinitesimal) symmetry implies a conserved quantity. But there are conserved quantities that do not come from such symmetries, e.g. Carter's constant in the Kerr metric of general relativity.

  • @simplicitas5113
    @simplicitas5113 Před 3 lety +6

    Using combinatorics and the statistical mechanics interpretation of entropy, I predicted the breakdown of the 1st or 2nd law in an asymmetrical universe when you add the cosmological constant. And now I found this video. Wow. I feel like a genius.

    • @Hexcede
      @Hexcede Před 2 lety

      What do you think about this?
      If you say energy must have a constant rate of change per unit time, you solve everything super nicely.
      Energy by definition only means something *over time*, because really, what you care about is *not* conservation of *energy*, but actually conservation of *work*, which is just the transfornation or "consumption" of energy over time.
      You can gain energy, but you can't gain work.
      You can then redefine the cosmological constant not as the rate of change of the expansion of space, but instead as a rate of how quickly time slows at a given velocity.
      This is scarily similar to the thought experiment of how light speed travel would effect your perception of time relative to other objects.
      The expansion of space is by definition absolute and goes against the core of relativity, but the slow of time by an amount proportional to speed is relative and produces the same perception, or others which differ by the relative speed of an object.
      If it takes longer to reach a destination, it is perceived to be further, but that does not mean it is, just like traveling towards or away from galaxies causes the light to shift, which you could potentially explain as the exact same phenomenon, as relative movement to the light we perceive slowing or speeding the passage of time.
      That would imply that light red shifts as it travels not because the space it travels through is growing, but because our perception of how much time has passed for the light to arrive has grown from a strictly linear amount.
      In other words, time can be thought of as a rate of change of velocity as much as velocity can be thought of as a rate of change of time, they are both equal quantities by this definition.

  • @kbbeats3099
    @kbbeats3099 Před 4 lety +7

    I'm fond of your explanation of energy. So many people are using that word incorrectly, or have incorrect ideas about what energy is. Great work, Nick.

    • @localverse
      @localverse Před 4 lety

      What is his explanation of energy? (i.e. what's the correct explanation)

    • @Kislay11
      @Kislay11 Před 4 lety +1

      @@localverse he has a video about what is energy, you may watch it, its great too

    • @deltabeta5527
      @deltabeta5527 Před 4 lety +1

      @@Kislay11 that video was the reason how I discovered this awesome channel on CZcams

    • @ScienceAsylum
      @ScienceAsylum  Před 4 lety +2

      @@localverse What the HECK is Energy? czcams.com/video/snj1wBtn6I8/video.html

    • @kbbeats3099
      @kbbeats3099 Před 4 lety

      @@ScienceAsylum
      Precisely the video I'm referencing. As eloquently/simply explained as I've ever seen.

  • @rexarnold3950
    @rexarnold3950 Před 4 lety +1

    Just let go as soon as u redefine energy lol! Your awesome nick glad to c u again on this

  • @thorstenwestheiderphotogra7722

    Crazy stuff in the true sense of the meaning - love it!

  • @mask3dal3xx
    @mask3dal3xx Před 4 lety +4

    Can dark energy theoretically be harvested? Like by connecting two very distant part of the universe with elastic ropes? What would the power output of such a system be?

    • @nibblrrr7124
      @nibblrrr7124 Před 4 lety +1

      AFAIU no, because putting energy which is already equally distributed (in equilibrium) to work would decrease entropy, and therefore violate the second law of thermodynamics.
      (Kinda like the hot high-pressure gas in a combustion chamber has lots of energy, but it will not expand & make the piston move one bit if it's just as hot & dense outside of the piston. PBS Space Time did an episode on zero-point energy.)
      The huge rubber rope is a nice thought experiment, and I haven't figured out yet why it wouldn't work. :^)

    • @martiddy
      @martiddy Před 4 lety +1

      I don't think dark energy works that way

    • @nibblrrr7124
      @nibblrrr7124 Před 4 lety +1

      As for the power: Dark energy is spread around incredibly thinly, with a constant density of a couple *nanojoules per cubic meter.* That should be an upper bound, and it's not a lot.
      Not sure how that would translate to power per length of rope (disregarding that it can't work b/c thermodynamics), but only using 1 dimension of the 3 expanding ones probably doesn't help? ^^
      * It only makes up ~70% of the universe's total, because the universe is mostly empty space with barely any matter (dark or regular), but just as much dark energy per volume

    • @mask3dal3xx
      @mask3dal3xx Před 4 lety +2

      nibblrrr I watched that video on PBS Space Time too and I understand what you mean but I think my design is fundamentally different from that piston. It might not work because of locality though.

    • @mask3dal3xx
      @mask3dal3xx Před 4 lety +1

      nibblrrr Why would my system violate the second law of thermodynamics?

  • @hebruixe9125
    @hebruixe9125 Před 4 lety +3

    I love how your clone bows his head in shame every time you answer his question. LMAO

  • @s.s.l2858
    @s.s.l2858 Před 3 lety +2

    You're so funny🤣🤣...I like your videos and the way you explain an interesting topic.👍🏻😃

  • @jb_lofi
    @jb_lofi Před 4 lety +2

    Yo, YDT, thanks bud! :D You make up for poor buggers like me who can't contribute anywhere NEAR that much to keeping this awesome content coming.

  • @tedarcher9120
    @tedarcher9120 Před 4 lety +9

    Isn't CMB just spread around the universe and red shifted, like light leaving from close to a black hole?

    • @ScienceAsylum
      @ScienceAsylum  Před 4 lety +11

      Yes, it's more spread out, but that's not why it's losing energy. There's still the same number of photons, but now they're all at a lower frequency. That means the _total energy all together_ has gone down.

    • @tedarcher9120
      @tedarcher9120 Před 4 lety +4

      @@ScienceAsylum yeah, but photons leaving a gravity well also loose energy due to red shift. Does the conservation principle break there also?

    • @locutusdborg126
      @locutusdborg126 Před 4 lety

      @@tedarcher9120 Yes, you are correct I think.

    • @leobidussi5039
      @leobidussi5039 Před 4 lety +4

      For Black Holes the situation is a little bit more complicated. The question is always the same: does the system photon-black hole has time traslation invariance? If and only if the answer is yes, than the TOTAL energy is conserved. For the most archetipical black hole, the Schwarzshield one, it is true and the total energy of the photon is conserved. But a gravitational red-shift is indeed present, as the photon travels away from the BH, it appears to red-shift, and the energy measured by different observers is different. This is because, loosely speaking, the photon acquires gravitational potential energy relative to the BH as it goes far away. The concept of gravitational potential energy is usually ill-defined in General Relativity, but for some BHs it can be a useful concept and it is not cheating, we have that the total energy is conserved, it is just that it differs from the energy that different observers measure.
      For the cosmological red-shift the story is different, the object that defines distances in GR, the metric, changes with time, hence we have no time traslation invariance and the photon's energy dilutes away as it travels through an expanding universe, energy is truly lost.

    • @tedarcher9120
      @tedarcher9120 Před 4 lety

      @@leobidussi5039 photons don't have mass, so they can't have potential energy. Red shift is happening when photon is travelling from more compacted space near black hole into less compacted, and thus redshifts. Literally the same thing happens with cmb, but the whole universe

  • @saumitrachakravarty
    @saumitrachakravarty Před 4 lety +4

    This video was a long time due. Every time you uttered your conservation of energy mantra I screamed Noether's theorem internally.

  • @EngenhariaHardcore
    @EngenhariaHardcore Před 4 lety +2

    Like you said, it depends on the timescale you are investigating. If it is a humanly realizable timescale (from fractions of seconds to hundreds of years) then we can just stick ti the energy concept we already have and it will all be fine. In you are investigating cosmic events, like the big bang for example, then the corrected concept of energy could be more appropriate.

  • @gaeb-hd4lf
    @gaeb-hd4lf Před 4 lety +2

    Underrated channel for sure...

  • @James42_
    @James42_ Před 4 lety +9

    Wait so everything gonna disappear over time (if every mass turned in to light and no black hole )?

    • @addajjalsonofallah6217
      @addajjalsonofallah6217 Před 4 lety +5

      Yup

    • @locutusdborg126
      @locutusdborg126 Před 4 lety +2

      And since we are in a simulated universe, we will eventually pixilate and disappear.

    • @leobidussi5039
      @leobidussi5039 Před 4 lety +3

      Only the energy of photons is lost as they travel through an expanding universe. Massive particles retain their energy and experience no cosmological red-shift. Whether or not matter itself will decay away on cosmological scales is a question for the Standard Model of particle physics, as far as General Relativity is concerned they are not affected at all.

    • @cleitonoliveira932
      @cleitonoliveira932 Před 4 lety +2

      Basically we are not allowed to travel beyond the local group of galaxies because of the expansion. The rate is so high that it's higher than the gravity pull, the groups will escape from each other and accelerate above the speed of light.

    • @martiddy
      @martiddy Před 4 lety

      Yeah, is called "Heat Death of the Universe". And it will happen at the end of the Dark Era of the universe (which will be around 10^1000 years from now)

  • @consciousenergies
    @consciousenergies Před 4 lety +6

    Love your videos! I do think its important to state a theory when it arrives in our conversations. Dark Energy is still a theoretical postulate to fill a space of physics we don't understand isn't it? The CMB is also our best theory and has yet to be proven as anything other than the furthest we can "see" in our 4D understanding of the universe. In all tests of the 1st law of thermodynamics, conservation of energy prevails true experimentally. Keep up the great videos and I appreciate all the time you put into explaining complex topics simply.

  • @jensphiliphohmann1876
    @jensphiliphohmann1876 Před 4 lety +2

    About 02:40: I learned it differently: Any (continuous) symmetry of _action_ leads to a conserved quantity.
    This is not the same because it's both a one-way implication. NOETHERs theorem, as I learned it, means that you might have a conserved quantity without a symmetry of acton behind it but not the other way: If a quantity's conservation is violated, the underlying symmetry must also be so.

  • @technicallittlemaster8793

    This was just awesome
    Totally blew my mind

  • @crouchingtigerhiddenadam1352

    Conservation of Information shall not be violated! Its good to see you plug your book again. It's a very useful book. Whatever next, posters?! 😀

    • @ScienceAsylum
      @ScienceAsylum  Před 4 lety +5

      I'd love to make that types of energy chart into a poster, but it needs to look cooler. I need to talk to my graphic design friends.

  • @Anamnesia
    @Anamnesia Před 4 lety +5

    Damn! You should have been reclining on a chair & doing from a beer bottle (or perhaps a test tube?) when you said, "Boy, that escalated quickly..."

  • @ankokuraven
    @ankokuraven Před rokem

    This is actually the video that brought me over here.
    One of my friends shared when i brought up the topic

  • @geekjokes8458
    @geekjokes8458 Před 4 lety +1

    This is actually the first good explanation for this on youtube

  • @mohammadqasem4060
    @mohammadqasem4060 Před 4 lety +6

    I don't think we should redefine energy we can consider these events as special cases

    • @snolahc
      @snolahc Před 4 lety +4

      Special cases don't exist. Either energy is conserved and we don't understand what the expansion of space-time is, or we don't understand what energy is.

    • @sorry6726
      @sorry6726 Před 4 lety +2

      This make us more eager to find what dark energy actually is

    • @mohammadqasem4060
      @mohammadqasem4060 Před 4 lety +1

      Sure dark energy will be as a key for a lot of questions

  • @benjaminbrady2385
    @benjaminbrady2385 Před 4 lety +3

    I felt pretty flattered the other day when my brother (who is in the last year of his physics degree) asked me for help in understanding the quintessence of dark energy, even though I am merely a 17 year old who reads Wikipedia articles and the linked papers at the bottom. Just felt like saying that this channel is where my interest in everything physics started, ha. Thank you Nick, you will always inspire younger scientists!

  • @cucginel1941
    @cucginel1941 Před 4 lety

    Great video!
    But i’m still waiting for that color charge video:P will it come out soon?

  • @GordonMarkHarris2
    @GordonMarkHarris2 Před 4 lety +1

    Freaking love your channel and your personality!

  • @photelegy
    @photelegy Před 4 lety +3

    6:26
    Ahh, he looks so sad 😥

  • @alyasker2194
    @alyasker2194 Před 4 lety +10

    *Sees science asylum notification*
    IMMEDIATELY CLICKS

  • @vaivashwatpandey3372
    @vaivashwatpandey3372 Před 4 lety +2

    Oh Yeaah Finally it makes sense!! Great Video!

  • @canyadigit6274
    @canyadigit6274 Před 4 lety +1

    Finally! You did a Noether Theorem video!