Cosmology | Lecture 2

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  • Опубліковано 5 лис 2024

КОМЕНТАРІ • 166

  • @ericmelton4186
    @ericmelton4186 2 роки тому +7

    I love this guy. I always told myself if I was rich I’d just go set in college classes just to learn stuff exactly like this. I love this man’s personality.

  • @hasanshirazi9535
    @hasanshirazi9535 4 роки тому +3

    Such a delight to watch lectures of Prof. Susskind on cosmology. He makes difficult topics so easy to understand.

  • @ericmelton4186
    @ericmelton4186 2 роки тому +3

    “You asked the question, nod your head when you understand “.

  • @joabrosenberg2961
    @joabrosenberg2961 3 роки тому +6

    Newtonian Cosmology 26:00; Escape velocity for the universe 41:00; FRW equations 1:09:00; FRW at critical velocity k=0 1:24:00; Big bang 1:34:00;

    • @tylerw1774
      @tylerw1774 2 роки тому

      29y222y77w7747r74y838e6e8u3283837

  • @russellmakar579
    @russellmakar579 11 років тому +11

    Thanks so much for posting these lectures, I could listen to Mr Susskind for hours on end. It's like going to college for free, Thanks again Stanford. I've only seen two of your videos,1,968 to go and looking forward to them.

  • @xxstephnayxx
    @xxstephnayxx 11 років тому +2

    Leonardo and Stanford, much gratitude from me as well. I hope to see you in the classroom in the near future.

  • @cochisewolf
    @cochisewolf 11 років тому +5

    Thanks Stanford. These are outstanding lectures. Never thought I'd be able to sit in on these type of classes. Many thanks...

  • @DragonSlave49
    @DragonSlave49 12 років тому

    @LeeJamison100 That part of the lecture can be misleading. He's actually saying the universe is like the earth, and from any observer's perspective they are in the middle of it. The hollow sphere example was used to illustrate how we can't identify a middle. So the observer will not feel himself being pulled in any direction, but will instead observe gravity by seeing everything moving toward himself.

  • @serbanmike
    @serbanmike 11 років тому

    Thanks for responding. You are saying that the speed of life in vacuum is constant on the other hand, as I indicated in my post above, Prof.Suskind says that c=c(t). I do know that at a constant speed (whatever that be) you need that time to travel from A to B

  • @glutinousmaximus
    @glutinousmaximus 11 років тому +1

    Simply, the speed of light in a vacuum is a constant. Obviously, It takes time to get from A to B; but is always a constant.

  • @Onoma314
    @Onoma314 12 років тому +9

    Hahaha, I never noticed, I've watched these lectures about 100 times.

  • @serbanmike
    @serbanmike 11 років тому +1

    Professor Susskind says (13:35) that a= 1/c. When a becomes a function of time a (t )=1 /c, that means c becomes a function of time and therefore is not a constant as it was assumed initially.
    Do I miss something here?

  • @bishalbanjara2891
    @bishalbanjara2891 5 років тому

    At 1: 16:33 Susskind writes that units of 'a' in terms of length but quite before or in the usual sense he makes an assumption that 'a' be simple multiplicative factor corresponding to unit length. So, actually 'a' is just a number, not a length.

  • @lsbrother
    @lsbrother 12 років тому

    I think (without being sure!) that the cosmologic principle is that homogeneity and isotropy are the case - the universe looks the same wherever you are in it. (And this can, to some extent, be justified). Consequently there is no meaning to a centre of the universe - all points are equal. Rather like asking which is the centre point on the surface of a sphere.

  • @geoffcunningham6823
    @geoffcunningham6823 11 років тому

    You are right - each pair of galaxies are attracted to each other. So no matter which two galaxies you choose and therefore which circle, you still get the right answer. All galaxies are attracted to all other ones, and the force is given by the mass in the sphere.

  • @NeedsEvidence
    @NeedsEvidence 9 років тому +6

    It's amazing that the math necessary to derive basic insights about the expanding universe and its age is so simple, and that Newton could have gotten the same correct answer (corresponding to flat space) centuries before Friedmann.

    • @phildurre9492
      @phildurre9492 8 років тому +5

      +NeedsEvidence On the other hand Leonard Susskind is maby one of the 10 people on this planet who is able to explain these things in a way that they seem so simple

    • @tishyamohan5673
      @tishyamohan5673 3 роки тому +2

      Newton could have derived the Friedmann equation if he had any reason to believe that the universe was expanding or even that galaxies were moving away from each other. Even Einstein believed that the universe was static until Hubble's discovery of expanding universe.

    • @bendavis2234
      @bendavis2234 2 роки тому +1

      @@tishyamohan5673 keep in mind that Newton didn’t even know that other galaxies existed outside the Milky Way at that time. The concept of an expanding universe would have made no sense to him since his picture of the universe was so limited.

  • @tulliusagrippa5752
    @tulliusagrippa5752 9 років тому

    Friedman did not die in the First World War. He produced his model of a non-static universe in 1922. The models produced before that were static, I.e., the universe was assumed eternal and unchanging.
    A serious problem with the "Newtonian" model is that masses at rest under the action of gravitational forces alone were shown by Earnshaw in the 1800's to be in unstable equilibrium. No stable static equilibrium is possible under the action of gravity alone.

  • @will2see
    @will2see 3 роки тому +1

    22:13 - That's what I needed to know from the first lecture! What does this t measure? Whose t it is? Ok, so it is the cosmic t made in the cosmic factory. ok :-) But has it to be a constant? What if it changes as a function of something? Like if there is a scale factor a(t), maybe there could be a time scale factor b(something)?

  • @tempdeltavalue
    @tempdeltavalue Рік тому

    44:12 It's really strange , because outer part of mass in the sphere also should attract point , and actually if it doesn't universe matter should collapse into point

  • @tabascoraremaster1
    @tabascoraremaster1 2 роки тому

    I came to believe that this good man does not believe in the BS itself but is the right man to explain the calculations that proves the BS to be 'true'.

  • @shiddy.
    @shiddy. 6 років тому +1

    1:48:26 I love the way he explained this aspect of relativity

  • @TheLivirus
    @TheLivirus 13 років тому

    One question. Since Newtonian physics forces us to only observe galaxies that are somewhat close to us, doesn't the galaxies particular deviations in velocity become a problem when determining the Hubble-constant? Doesn't these deviations become less important the farther away you look?

  • @jonrose665
    @jonrose665 11 років тому

    The shape doesnt matter, what does is the factors within that shape that makes an equation possible to be.

  • @DrTruffaldino
    @DrTruffaldino Рік тому

    1:45 Friedmann wasn't killed during WW1: Friedmann died on September 16, 1925, from misdiagnosed typhoid fever. He had allegedly contracted the bacteria on his way back from his honeymoon in Crimea when he ate an unwashed pear he bought from a railway station.

  • @xXZeroSynDromeXx
    @xXZeroSynDromeXx 12 років тому

    Okay a bit of help...at around 53 min he begins his main derivation by imagining an arbitrary sphere in the universe and then claiming that the effects of gravity of objects outside that sphere cancel, and the gravity of objects inside acts as though they were at the center. I understand that for an actual sphere this holds. But for an arbitrary sphere in infinite space? It simply can't be valid. You could draw another sphere with another center and claim you are attracted to that center instead

  • @xinzeng-iq7zv
    @xinzeng-iq7zv 6 місяців тому

    experimenting to see if this game is viable for multiplayer or single player campaign

  • @semperFi4ever100
    @semperFi4ever100 12 років тому

    @scavengedfantasyname I think they aren't really physics students, this course is a general introduction and something Stanford offers to everyone who wants to learn about science.

  • @fertilizerspike
    @fertilizerspike 14 років тому

    I think I've just identified one of this professor's main problems. He said "equations that govern" the universe. Equations don't govern anything, equations describe reality, they don't govern reality.

  • @aaronlyu133
    @aaronlyu133 7 років тому

    I think he should have described the expansion as a somewhat diffusion velocity (or divergence in a mathematical sense) that is uniform in space instead of a force. it accumulates in space and so the diffusion velocity would seem enormous when one considers a large distance (because there's more space in it) and would seem minor when one considers an ordinary object.

  • @glutinousmaximus
    @glutinousmaximus 11 років тому

    Be patient, you need to see all the lectures. Energy is conserved - It's that space itself increases the distance between objects (The 'acceleration of the universe') Don't ask me why - It's known currently as 'Dark Energy'.

  • @ellenetdesign
    @ellenetdesign 10 років тому +1

    Actually, Friedmann died on September 16, 1925, at the age of 37, from typhoid fever that he contracted while returning from a vacation in Crimea.

    • @Fritzybedeek
      @Fritzybedeek 4 роки тому

      I thought he might be confusing Friedman with Schwarzschild who died in 1916 from a disease he contacted on the Russian front.

  • @rlhoward47
    @rlhoward47 10 років тому

    This is great. I wish more universities would record great lecturers.
    I wonder if there are any class notes to go with the lectures ?

  • @aqwertgbvcxz
    @aqwertgbvcxz 12 років тому

    We are at the center of the universe.

  • @terrafirmaterrafirma
    @terrafirmaterrafirma 14 років тому

    @FrenchExpat1 Ummm, e=mc^2 is small in the whole scheme of things.... so is
    y = mx + b, or the fundamental theorem of calculus.

  • @bollyfan1330
    @bollyfan1330 2 роки тому

    Do all the effects of relativity apply based on the peculiar velocity of an object?

  • @will2see
    @will2see 3 роки тому

    Not knowing what the units of the Hubble "constant" are and at the same time teaching modern cosmology at Stanford University is a bit strange...

  • @glutinousmaximus
    @glutinousmaximus 11 років тому +1

    I think you missed that he is talking here in Newtonian terms.

  • @bunkmasterflex
    @bunkmasterflex 14 років тому

    i would say intelligence lies in the understanding of the consequences of an action through inference our prediction, wisdom lies in the ability to understand how insignificant an inference can be rendered at any point in time..knowing but knowing that what you know is a fragment of what could be known or what is. now we can all stop talking about how right we are, intake the amazing amount of information that is available to us, have the most educated opinion we can.. our social responsibility

  • @raykarush186
    @raykarush186 11 років тому

    Yes, indeed, this is the excellent lecture....

  • @asimdahal3249
    @asimdahal3249 4 роки тому

    We'll get there! We'll get there!

  • @jamesdowns72
    @jamesdowns72 5 років тому

    Only part I didn't follow was where he adds an x^2 out of nowhere to the const on right hand side and is then able to divide them all out. He says it's the only way to make the equation make sense... could you also just say x is a const because of how he's defined x as just a label that moves with the galaxies and a(t) is actually the variable?

    • @tishyamohan5673
      @tishyamohan5673 3 роки тому

      Actually, X can not be a constant. It is different for each galaxy. Therefore the constant on the RHS is not a true constant either - it will have a different value for each galaxy. However, the different values of the constant will all be proportional to X^2. Hence both sides can be divided by X^2, yielding an equation independent of the position of galaxy.

  • @xinzeng-iq7zv
    @xinzeng-iq7zv 6 місяців тому

    is cosmology a relevant subject matter when rocket fuel cost proportional to distance

  • @Gismho
    @Gismho 4 роки тому

    Superb presentations. Thank you Prof. Susskind.

  • @190ecky
    @190ecky 12 років тому

    I really want to ask him if the universe is expanding and contracting like a harmonic osilater than would the trough and crest being the most expanded part of the wave move slower in time compared to the other parts
    jw

  • @justingreen1887
    @justingreen1887 11 років тому

    Thank you, Dr. Zaius

  • @sherlockholmeslives.1605
    @sherlockholmeslives.1605 5 років тому +1

    What is the Lagrangian in theoretical physics?
    I've looked it up on Wikipedia, but how is it related to research in theoretical physics?

    • @samarthatilwankar8605
      @samarthatilwankar8605 4 роки тому

      Y

    • @gustavobopsin5248
      @gustavobopsin5248 Рік тому

      We can find the equations of motion of everything using the action. And define the action using the lagrangian. Search for analytical mechanics

  • @aqwertgbvcxz
    @aqwertgbvcxz 12 років тому

    If you think of the universe as the surface of the sphere then you can only look around but not up or down.

  • @xXZeroSynDromeXx
    @xXZeroSynDromeXx 12 років тому

    I know that the conclusion must be valid, but this method of derivation is not convincing to me since it requires an assumption which is clearly absurd...that the NET force on an arbitrary m is REALLY in the direction of the center of an arbitrary center of a sphere. You could make the same argument to conclude that the net force is literally in any direction you wish. It seems rather obvious the NET force in a homogeneous and isotropic universe on a galaxy is zero. What am I missing?

  • @anmolraina3509
    @anmolraina3509 8 років тому

    Can somebody please tell me where can we ask him questions currently (probably some email address or other stuff) as his blog was last edited 7 years ago. Please reply as soon as possible

  • @adityadas.mr.cosmos357
    @adityadas.mr.cosmos357 6 років тому

    Very nice lectures👍👍👍👍👍👍👍

  • @will2see
    @will2see 3 роки тому

    Could gtt in the metric tensor be a function of something?

  • @daujok4375
    @daujok4375 8 років тому +1

    Newton's theorem is my favorite!!!

  • @sylviomello1979
    @sylviomello1979 5 років тому

    One correction: Friedmann died in 1925. Who died during the World War I was Schwarzschild.

  • @lsbrother
    @lsbrother 12 років тому

    Sorry I didn't explain very well. We definitely live in a 3-d universe. But, like the 2-d surface of a sphere where all points are the same - there is no special center, our 3-d universe could be a surface within 4-dimensions and also have no special centre.
    No good trying to envisage a 3-dimensional surface - you won't be able to. But mathematically they are solutions to Einstein's equations and a perfectly valid model.

  • @naimulhaq9626
    @naimulhaq9626 10 років тому

    I am not very comfortable with Newton's idea that matter outside the shell does not count.You say that he did not use his usual calculus to prove it, and you also said you discussed the mathematics somewhere else.Could you kindly tell me in which video this proof is discussed?
    Considering it true,and that g gets diminished as I approach the center of the earth,, where g=0, does it not follow that the pressure P=mg should be zero?How is it that great pressure at the center heats it up to melt it?

    • @hjembrentkent6181
      @hjembrentkent6181 10 років тому +1

      The statement is that matter outside the circle doesn't contibute to the gravitational force. Newton used both calculus and geometry to prove it, but none of the other scientist knew calculus, so he had to prove it to them by geometry. P=mgh is not pressure, its the potential gravitational energy, which of course is 0. You were thinking about hydrostatic pressure P=ρgh (ρ is not the letter p its the greek letter rho) and the pressure is of course not 0

    • @dorwinblack5934
      @dorwinblack5934 9 років тому +3

      +Naimul Haq: It's not that the mass outside the shell doesn't count. It's that, under the assumption of homogeneity, the gravitational effects of all the mass outside the shell cancels out. If the assumption of homogeneity were not valid, mass outside the shell might have to be accounted for.
      For example, on earth, when computing the gravitational effect on the tides, the mass of the sun and moon must be accounted for even though they are outside the "shell' of the earth. Without the mass of the sun and moon, there would be no tides. The assumption of homogeneity is not valid for the earth-moon sun system when computing gravitational effect on the tides

    • @naimulhaq9626
      @naimulhaq9626 9 років тому +1

      Dorwin Black
      There are other aspects of gravitation that is puzzling to me.
      For instance galaxies are moving away from each other. The further they are the faster they move, yet most galaxies seem to have tumbled into other galaxies, and still are. Are we having celestial mechanics all wrong?

    • @kartikkaranth2683
      @kartikkaranth2683 8 років тому

      Naimul Haq nope we are missing something once we find it things are gonna be pretty clear similar to classical quantum divide in 20th century

    • @naimulhaq9626
      @naimulhaq9626 8 років тому

      Kartik Karanth
      Maybe you are right, do you know what are we missing?

  • @frankieli98
    @frankieli98 11 років тому

    shouldn't a(t) have no unit? since it's a scale factor

  • @blogdanzehavi
    @blogdanzehavi 9 років тому

    Friedmann died on September 16, 1925, at the age of 37, from typhoid fever that he contracted while returning from a vacation in Crimea.[5]

  • @senselesseldritch
    @senselesseldritch 2 роки тому

    I fell asleep and woke up with this on… I don’t know how I got here

  • @kkonstantinosss2
    @kkonstantinosss2 14 років тому

    @kkonstantinosss2 And of course the Greek mathematicians then fought about the issue of the Heliocentric and Geocentric models, and guess what, The equations worked anyway you wanted them to work, so for some it was heliocentric and for some it was geocentric, My question is (Does it really matter?) What if you took the earth to be still and the sun to be moving, practicaly it is the same thing. Speed relative to what? Even if the sun is so much more massive still our measurements are subjective

  • @caladvwlch10
    @caladvwlch10 14 років тому

    Gracias a la StanforUniversiti por estas clases.

  • @glutinousmaximus
    @glutinousmaximus 11 років тому

    Well because we know the net force on any particular galaxy is non-zero. Nothing would move if the value was zero. Think of this as a plum pudding rising in the oven. It remains homogeneous and isotropic but keeps expanding. It's more complicated than that, but a reasonable general picture.

  • @frogolfish
    @frogolfish 11 років тому

    my brain doesnnt want to let me understand how velocity increases with distance if k=0 or if K is any # for that matter. if its a hyperbole as it gets closer and closer to the tangent it slows down???????

  • @frankieli98
    @frankieli98 11 років тому

    1:05:00
    Why is further away particle has more energy? I thought energy is conserved.

    • @27merk
      @27merk 3 роки тому

      Potential energy becomes less negative the further away it is. It has more potential energy and less kinetic energy. You're right. Energy in this instance is conserved.

  • @stevenrichardsonsr932
    @stevenrichardsonsr932 2 роки тому

    Is he lecturing or being lectured?

  • @arminhansarian2268
    @arminhansarian2268 11 років тому +8

    Eating cookies during the lecture like a baws!

  • @jonrose665
    @jonrose665 11 років тому

    Thats exactly y the general relativity law exist, to make sure every equation comes to a representation of a relative constant.

  • @AlanAlan2001
    @AlanAlan2001 12 років тому +2

    I like it when he says "We get there, we get there!"

  • @aqwertgbvcxz
    @aqwertgbvcxz 12 років тому

    If this was the case, then we could've only look into around us but not below or obove(atlease not as deep as around us). I don't think that is the case according to the current model.

  • @terrafirmaterrafirma
    @terrafirmaterrafirma 14 років тому

    Ummm, it would be nice if Leo would just give a few words of how Newton's Theorem follows from calculus....

  • @lsbrother
    @lsbrother 12 років тому

    "only look into around us but not below or obove" - sorry but I have not a clue what you mean

  • @audreymciver3087
    @audreymciver3087 4 роки тому

    I may be a key to the cure for all of the problems.

  • @LeeJamison100
    @LeeJamison100 13 років тому

    I come late to this discussion but, since we are clearly in a universe that is the same in every direction, farther than the eye can see, how is that not like being inside the hollow sphere example Susskind uses? Why, then, is there any assumption gravity EVER slows the expansion of the universe?
    Secondly, the galaxies should have been Bob Carol Ted and Alice,

  • @smangano64
    @smangano64 14 років тому

    @EMOjamesy23 Well then at no point did I criticize "wondering" in the way you attribute to Hawking and others. Of course we must imagine and wonder as well as theorize and compute. (cont..)

  • @claudebo
    @claudebo 8 місяців тому

    Ty!

  • @aqwertgbvcxz
    @aqwertgbvcxz 12 років тому

    The equations are right but the assumptions are wrong.

  • @190ecky
    @190ecky 12 років тому

    Crap let me make myself clear the universe by no means has to be a wave but if it contracts in doing so moves faster in time then when it expands and reaches maximum frequency for which it can expand at that point would time begin to alter

  • @Biednymaniek
    @Biednymaniek 5 років тому

    Thats why All move around this point

  • @danielnofal
    @danielnofal 2 роки тому

    Amazing classes that anyone can watch. Too bad most young people are watching TikTok instead.

  • @smangano64
    @smangano64 14 років тому

    @EMOjamesy23 no, i visit your profile to see who it is I am talking to. And I think your profile speaks for itself. good luck at CAMBRIDGE.

  • @Onoma314
    @Onoma314 12 років тому +1

    lol at 4:15 when he realizes the guy in his class has missed some things in physics class.

    • @upsdwatrzy2252
      @upsdwatrzy2252 4 роки тому

      that was a valid question and clarification of the model

  • @fapalisok97
    @fapalisok97 10 років тому

    Mind bending

  • @Kg277
    @Kg277 9 років тому

    Thanks ol'man!

  • @realcygnus
    @realcygnus 10 років тому +2

    super duper coolness

  • @Onoma314
    @Onoma314 13 років тому

    1:47:23 the classic implied Susskind Facepalm

  • @lsbrother
    @lsbrother 12 років тому +1

    presumably that shirt is his cosmology lecturing shirt

  • @philosophicalleo405
    @philosophicalleo405 14 років тому

    Susskind teaching cosmology, testing conformity?
    Delivering hypothetical constants in order to make mathematical abstractions appear tangible?
    Make data agree with points of scientific dogma by factoring equations designed specifically to hide facts anomalous to a cannon of thought.
    Comparing sensory inputs under meditation all principles will become apparent. The Nomenclature to describe these principles is best described using or condensed or vocal imagery, possibly dance, not mathematics.

  • @adamsblanchard836
    @adamsblanchard836 2 роки тому

    And oddly better

  • @Biednymaniek
    @Biednymaniek 5 років тому

    Team plane cut save point

  • @fertilizerspike
    @fertilizerspike 14 років тому

    @mrbubtube
    Ah, now I see why you're confused, you think I'm arguing. I'm not. I'm trying to educate people and disabuse them of utter nonsense disguised as science.

  • @apoxonxyourxexes
    @apoxonxyourxexes 2 роки тому

    Circle circle
    Square era u q s
    Boulder
    Balderdash h sad red lab labia ai bal
    Pirates s et a rip loot tool big gib pirated video games :p
    Role playing game e mag g no ya
    l pelor
    Dungeon masters sr ets am no e g nud
    Well that's not not comforting...
    Dungeons and dragons s no gard dna s no e g n u d
    Princess
    Empress ss erp me
    Definitely y let in I fed
    Definition no it in I fed
    Cowboys s y o b w o c
    Penetration no it art en ep
    Decimation no it a mice d
    Devastation no it at saved
    Awful row
    ^ turn the word word backwards you get Drow #youtube #foxnews

  • @twiddle7125
    @twiddle7125 15 років тому

    God will be happy because you've taken an interest in how he made the universe...I say God created the universe through complicated mathematics and science humans can barely begin to comprehend, Christians say he just spoke and it was so...for some reason I feel I have more respect for God than they do lol

  • @smangano64
    @smangano64 14 років тому

    @EMOjamesy23 My original post was in response to a bunch of commentary about God and the bible (which I don't seem to see here anymore so maybe it got deleted). The point is that if someone goes to a lecture about cosmology and raises their hand and starts asking questions (or making assertions) about how the bible fits in then they are just being plain rude.

  • @aqwertgbvcxz
    @aqwertgbvcxz 12 років тому

    I don't know if that make sense but I guess a donut shape could work.

  • @pathfinder2557
    @pathfinder2557 4 роки тому

    70 yr ol Lenny easily solves highly abstract maths while a 30 yr ol me barely solves elementary fractions. wish I am as smart as him. i feel so dumb and worthless and it's hurting my self esteem so bad. please anyone help me.

  • @adiacheng4417
    @adiacheng4417 5 років тому

    what kind of cookie was that? 1:11:56

  • @Biednymaniek
    @Biednymaniek 5 років тому

    I think now we can talk

  • @apoxonxyourxexes
    @apoxonxyourxexes 2 роки тому

    #random #memesespa #randomthoughts #randomactsofkindness #randomness #randompic #randommemes #randommagazines #randoms #randomclicks #randompost #randomshot #randomphoto #randomselfie #randomparatodos #randompics #randomshit #randomphotography #randomart #randomtags #randomhashtags

  • @apoxonxyourxexes
    @apoxonxyourxexes 2 роки тому

    Empty vessel less ev y t p m e
    Fill ab ball if
    Shell ab
    Is this jumping ahead
    I jumped ahead
    I will be jumping ahead
    ^ one of these statements are

  • @r3d0c
    @r3d0c 13 років тому +1

    am i the only one who cones to these videos to get some sleep?

  • @EMOjamesy23
    @EMOjamesy23 14 років тому

    @smangano64 i would also like to point out that the bible is merely one book, there are many others which make referance to divine intervention, much of it is bound to be useless speculation, but the fact is we DO NOT know. As a physicist you cannot be sceptical of anything, or you may never find the answeres, I hope you understand that as the world needs more good scientists, people that think outside the box, in anycase i find it immature to "argue" on youtube so this will be my last response