The Story Behind Maxwell-Boltzmann distribution

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  • Опубліковано 20 гру 2024

КОМЕНТАРІ • 31

  • @douglasstrother6584
    @douglasstrother6584 5 днів тому +21

    One can only speculate on the development of Physics if both Maxwell and Boltzmann had lived longer.

  • @douglasstrother6584
    @douglasstrother6584 5 днів тому +16

    Planck's approach to Blackbody Radiation was to analyze the entropy as a function of energy. To make both high-frequency and low-frequency data consistent with the Second Law of Thermodynamics, he included an additional "guess" term proportional to the frequency (hf); this results in Planck's Law which is strictly Classical. Planck's subsequent application of Boltzmann's Statistical Mechanics to justify his guess then led to his revolutionary conclusion that the material of the walls emit and absorb radiation in discrete quanta. A paper titled "Planck’s Route to the Black Body Radiation Formula and Quantization" by Michael Fowler (7/25/2008) gives a nice discussion. "Theoretical Concepts in Physics: An Alternative View of Theoretical Reasoning in Physics" (1984) by Malcolm S. Longair contains more details.

    • @hyperduality2838
      @hyperduality2838 4 дні тому

      Syntropy (knowledge) is dual to increasing entropy (lack of knowledge) -- the 4th law of thermodynamics!.
      Analytic (a priori) is dual to synthetic (a posteriori) -- Immanuel Kant.
      Synthetic a priori knowledge -- Immanuel Kant or knowledge is dual.
      If knowledge is dual then information must be dual:-
      Average information (entropy) is dual to co or mutual information (syntropy) -- information is dual.
      Objective information (syntax) is dual to subjective information (semantics) -- information is dual.
      Converting what you know into predictions is a syntropic process -- teleological.
      "Through imagination and reason we turn experience into foresight (prediction)" -- Spinoza describing syntropy.
      Teleological physics (syntropy) is dual to non teleological physics (entropy).
      Syntax is dual to semantics -- languages, communication or information.
      "Mathematics is the language of nature" -- Galileo.
      If mathematics is a language then it is dual.
      "Always two there are" -- Yoda.
      Messages in a communication system are predicted into existence using probability -- Shannon's information theorem.
      Predicting messages into existence is a syntropic process -- teleological.

    • @gitduck
      @gitduck 14 годин тому

      In Isekai anime's , existence of such demon lord akin similar to the theoretical maxwell's demon , in which the discussion about the vast amount of the knowledge locked to the single consciousness as much as any consciousness would ever possess such potential. Must watch genre , truly melodramatic.​@@hyperduality2838

  • @randomchannel-px6ho
    @randomchannel-px6ho 4 дні тому +5

    In my personal opinion the history of gauge field theory is just hitting our heads against the wall and occasionally something magically appears and works out. Or more commonly it works out with a massive asterisk inrroducing some new problem we're going to beat our heads against a wall with for hundreds of years.
    Mathematical physics is fun (I keep telling myself)

  • @hyperduality2838
    @hyperduality2838 4 дні тому +2

    Syntropy (knowledge) is dual to increasing entropy (lack of knowledge) -- the 4th law of thermodynamics!.
    Analytic (a priori) is dual to synthetic (a posteriori) -- Immanuel Kant.
    Synthetic a priori knowledge -- Immanuel Kant or knowledge is dual.
    If knowledge is dual then information must be dual:-
    Average information (entropy) is dual to co or mutual information (syntropy) -- information is dual.
    Objective information (syntax) is dual to subjective information (semantics) -- information is dual.
    Converting what you know into predictions is a syntropic process -- teleological.
    "Through imagination and reason we turn experience into foresight (prediction)" -- Spinoza describing syntropy.
    Teleological physics (syntropy) is dual to non teleological physics (entropy).
    Syntax is dual to semantics -- languages, communication or information.
    "Mathematics is the language of nature" -- Galileo.
    If mathematics is a language then it is dual.
    "Always two there are" -- Yoda.
    Messages in a communication system are predicted into existence using probability -- Shannon's information theorem.
    Predicting messages into existence is a syntropic process -- teleological.

    • @Alan-zf2tt
      @Alan-zf2tt 3 дні тому

      In math if there is a 1 to 1 regime of occurrence then there are usually 2 to 2 regimes of occurrence
      We can view these as projections from dimension n to dimensions less than n.
      Or maybe even consider them in dimensions greater than n
      Our humanity tends to favor a value of n that we are comfortable with.
      When this does not happen our humanity prefers descriptions like chaos chaotic perturbations
      It is what it is
      We are what we are

    • @hyperduality2838
      @hyperduality2838 3 дні тому +1

      @@Alan-zf2tt I am not too sure what you are saying here? So I will not comment upon it.
      The tetrahedron is self dual.
      The cube is dual to the octahedron.
      The dodecahedron is dual to the icosahedron -- the Platonic solids are dual.
      All numbers fall within the complex plane.
      Real is dual to imaginary -- complex numbers are dual.
      All numbers are dual.
      The integers are self dual as they are their own conjugates.
      Probability requires complex numbers hence probability is dual or information is dual.
      Hence there is a 4th law of thermodynamics -- syntropy.
      Your mind is syntropic as you synthesize information or knowledge into mutual information in the form of a prediction, making predictions to track targets, goals or objectives is a syntropic process -- teleological.
      "The brain is a prediction machine" -- Karl Friston, neuroscientist.
      Converting empirical measurements, perceptions or physics into conceptions or ideas is a syntropic process!
      Concepts are dual to percepts -- the mind duality of Immanuel Kant.
      Syntropy is the correct word in this context as it was used by Einstein.
      Main stream physics and science have a big problem with teleology and syntropy.
      Teleophilia is dual to teleophobia.
      The word science means rational knowledge (syntropy).
      Rational, analytic is dual to empirical, synthetic -- Immanuel Kant.
      Duality means that there are new laws of physics.

  • @TimRobertsen
    @TimRobertsen 4 дні тому +2

    Nice video!:) I am pretty sure Max Planck is the origin of the S=k log W equation

  • @michaelgonzalez9058
    @michaelgonzalez9058 День тому +1

    😂so being that the atom is as a enzyme molecule constraint by added carbon ,therefore equating the maxwell bolzman enthropy of Dirac equanox

  • @digguscience
    @digguscience 3 дні тому

    What is amazing is the formulation of Maxwell-Boltzmann statistics. How the results are in accordance with the ideal gas theory.

  • @Internascience
    @Internascience 2 дні тому

    Qué información tan hermosa! Me sorprende el doblaje automático 😮
    Boltzmann es mi científico favorito ❤
    Padre de la física estadística... Realmente un crack😊

  • @kiranadhikari4192
    @kiranadhikari4192 5 днів тому

    Interesting video. Are quantum mechanical probabilities also a generalization of Maxwell-Boltzmann-type probabilities?

    • @Trucmuch
      @Trucmuch 5 днів тому +3

      No. Probabilities in thermodynamics are used because they provide a very good approximation to problems that would otherwise be computationally infeasible. The idea is that you can use probabilities instead of calculating the trajectories and interactions of every single molecule with Newtonian mechanics. However, probability in this context is merely a tool to achieve results-each molecule does, in fact, move and interact according to Newtonian laws.
      On the other hand, in quantum mechanics, probabilities are not just tools but are intrinsic to the fabric of reality. It is not that we use probabilities to avoid handling an unmanageable amount of calculations; rather, the world itself is inherently probabilistic at this scale.

    • @imPyroHD
      @imPyroHD 4 дні тому +1

      No, probabilities in statistical mechanics arise from the fact that we are dealing with statistical ensembles and those probabilities give us extremely accurate approximations. In quantum mechanics, probabilities are fundamental to what's happening.

    • @ethanwinchester4585
      @ethanwinchester4585 4 дні тому

      No the Gibbs paradox suggests that the Maxwell Boltzmann distribution isn’t the full answer QM probability is related however

    • @hyperduality2838
      @hyperduality2838 4 дні тому

      Syntropy (knowledge) is dual to increasing entropy (lack of knowledge) -- the 4th law of thermodynamics!.
      Analytic (a priori) is dual to synthetic (a posteriori) -- Immanuel Kant.
      Synthetic a priori knowledge -- Immanuel Kant or knowledge is dual.
      If knowledge is dual then information must be dual:-
      Average information (entropy) is dual to co or mutual information (syntropy) -- information is dual.
      Objective information (syntax) is dual to subjective information (semantics) -- information is dual.
      Converting what you know into predictions is a syntropic process -- teleological.
      "Through imagination and reason we turn experience into foresight (prediction)" -- Spinoza describing syntropy.
      Teleological physics (syntropy) is dual to non teleological physics (entropy).
      Syntax is dual to semantics -- languages, communication or information.
      "Mathematics is the language of nature" -- Galileo.
      If mathematics is a language then it is dual.
      "Always two there are" -- Yoda.
      Messages in a communication system are predicted into existence using probability -- Shannon's information theorem.
      Predicting messages into existence is a syntropic process -- teleological.

  • @Michael-nt1me
    @Michael-nt1me 3 дні тому

    Considering the developing integral sense of ...Indeterminacy, Probability, and Statistics.... coming forth and going forward.

  • @SuperMenders
    @SuperMenders 23 години тому +1

    when i see this thumbnail i am wondering if i just have to grow a great beard in order to become a great physicist

  • @arnaud.lancelot
    @arnaud.lancelot 18 годин тому

    Maxwell, absolute god.

  • @herbertbader7558
    @herbertbader7558 3 дні тому

    Wie zum Teufel kam die deutsche Sprache in die Überschrift?

  • @jessedbrown1980
    @jessedbrown1980 3 дні тому

    ua-cam.com/video/z-g-wACi92k/v-deo.html I really love this deterministic choice based reality

  • @LeDestructeurdeStreamers-k8h
    @LeDestructeurdeStreamers-k8h День тому

    C'est probablement juste.

  • @zeroonetime
    @zeroonetime 4 дні тому

    Everything falls into the realms of the infinite polarities. i.e. Infinity Squared 010 Timeism.

    • @hyperduality2838
      @hyperduality2838 4 дні тому

      North poles are dual to south poles -- magnets.
      Syntropy (knowledge) is dual to increasing entropy (lack of knowledge) -- the 4th law of thermodynamics!.
      Analytic (a priori) is dual to synthetic (a posteriori) -- Immanuel Kant.
      Synthetic a priori knowledge -- Immanuel Kant or knowledge is dual.
      If knowledge is dual then information must be dual:-
      Average information (entropy) is dual to co or mutual information (syntropy) -- information is dual.
      Objective information (syntax) is dual to subjective information (semantics) -- information is dual.
      Converting what you know into predictions is a syntropic process -- teleological.
      "Through imagination and reason we turn experience into foresight (prediction)" -- Spinoza describing syntropy.
      Teleological physics (syntropy) is dual to non teleological physics (entropy).
      Syntax is dual to semantics -- languages, communication or information.
      "Mathematics is the language of nature" -- Galileo.
      If mathematics is a language then it is dual.
      "Always two there are" -- Yoda.
      Messages in a communication system are predicted into existence using probability -- Shannon's information theorem.
      Predicting messages into existence is a syntropic process -- teleological.

    • @pradumnyapal1801
      @pradumnyapal1801 4 дні тому

      That's made up

    • @zeroonetime
      @zeroonetime 3 дні тому

      @@pradumnyapal1801
      IT I.S. Thought

  • @drbonesshow1
    @drbonesshow1 3 дні тому +1

    Probability was always integral to physics.