The Schrodinger equation is used to make predictions about the behaviour of matter and energy -- a syntropic process, teleological. Making predictions to track targets, goals and objectives is a syntropic process -- teleological. Teleological physics (syntropy) is dual to non teleological physics (entropy). Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics! Alive is dual to not alive -- the Schrodinger's cat superposition. Being is dual to non being creates becoming -- Plato's cat. Thesis (alive, being) is dual to anti-thesis (not alive, non being) creates the converging thesis or synthesis (becoming) -- the time independent Hegelian dialectic or Hegel's cat (Fichte's cat). Schrodinger's cat is based upon Hegel's cat and he stole it from Plato (Socrates). The scientific method of asking primary questions to get answers is based upon the Socratic dialectic, which is also the Hegelian dialectic. Questions are dual to answers. "Philosophy is dead" -- Stephen Hawking. Stephen Hawking accepted the Schrodinger's car metaphor which is based upon metaphysics or philosophy, hence metaphysics is allowed in physics. "Antinomy (duality) is two truths that contradict each other" -- Immanuel Kant. "Always two there are" -- Yoda. Enantiodromia is the unconscious opposite or opposame (duality) -- Carl Jung.

The classic wave equation derived from Maxwell equations is relativistic invariant, but the quantum mechanic Schrödinger eqation is not.

Einstein’s Relativity is garbage science. It's physics is based off of Acceleration. Anybody that references it as real science is still playing with toys in a sandbox pretending that they are real.

Can you explain what exactly means by "particle has slower all oscillating things"? Exact experimental observations, pls. While concept of asymptotic E(p) curve fits well with my understanding of reality, I cant get rid of feeling that mass increase and time slow might be some correct mathematical backside of wrongly interpreted phenomena.

@@hyperduality2838 How did the word salad taste?

Thanks for the kind comment! :) Grant is definitely a role model, his videos are amazing.

This comment is very accurate

He even kind of sounds like him, just with a deeper voice.

Great comment, but I'd say Grants content, while thorough, is a little more accessible to a general audience that remembers some stuff. While these videos are a little more technical without having to draw out the analogies to death, just a solid technical overview, which I prefer.

Imo better than 3b1b

Huh, he added it to the description now but it's still not giving the video chapters. Anyone know why?

Ok: Then please can you explain it so that I can understand also.

@@terjebauge6248 explaining it means to explain whole quantum physics from start 💀... you should first study highschool course and then some basic things ..

Me when I see a notification for this channel

Thanks, I’m glad you’re enjoying the videos! :) And I agree, there’s a difference between knowing the mathematical procedures, vs. seeing what the math actually means.

Only when we have the math, do we the thing itself.

@@RichBehiel I think too often the assumptions underlying the mathematics are dogmatically defended without recognizing when the predictions of the math do not necessarily depend on all of those assumptions.

Math is law

Absolute truth (universals) is dual to relative truth (particulars) -- Hume's fork. The Schrodinger equation is used to make predictions about the behaviour of matter and energy -- a syntropic process, teleological. Making predictions to track targets, goals and objectives is a syntropic process -- teleological. Teleological physics (syntropy) is dual to non teleological physics (entropy). Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics! Alive is dual to not alive -- the Schrodinger's cat superposition. Being is dual to non being creates becoming -- Plato's cat. Thesis (alive, being) is dual to anti-thesis (not alive, non being) creates the converging thesis or synthesis (becoming) -- the time independent Hegelian dialectic or Hegel's cat (Fichte's cat). Schrodinger's cat is based upon Hegel's cat and he stole it from Plato (Socrates). The scientific method of asking primary questions to get answers is based upon the Socratic dialectic, which is also the Hegelian dialectic. Questions are dual to answers. "Philosophy is dead" -- Stephen Hawking. Stephen Hawking accepted the Schrodinger's car metaphor which is based upon metaphysics or philosophy, hence metaphysics is allowed in physics. "Antinomy (duality) is two truths that contradict each other" -- Immanuel Kant. "Always two there are" -- Yoda. Enantiodromia is the unconscious opposite or opposame (duality) -- Carl Jung.

Will do! :)

Thanks for the kind comment! I’m glad you’re enjoying the videos :)

My exact sentiment! Amazing content

You’re right! Thanks for the correction :)

The SI prefixes for kilo, hecto, and deca are k, h, and da, in lowercase. So it is keV, km, kPa etc.

Zero point stubborn German.

That number equals 1 in the limit as German stubbornness approaches infinity.

Thanks for the very kind comment! :) I’d love to upload more often, if I could find the time. Making videos is a lot of fun.

For real-valued functions, I totally agree. But for complex-valued functions, the first time derivative allows for wave solutions because of the phase degree of freedom in the complex plane. I should have clarified that in the video, because you’re right that typically “wave equation” connotes 2nd order in time.

The Schrodinger equation is used to make predictions about the behaviour of matter and energy -- a syntropic process, teleological. Making predictions to track targets, goals and objectives is a syntropic process -- teleological. Teleological physics (syntropy) is dual to non teleological physics (entropy). Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics! Alive is dual to not alive -- the Schrodinger's cat superposition. Being is dual to non being creates becoming -- Plato's cat. Thesis (alive, being) is dual to anti-thesis (not alive, non being) creates the converging thesis or synthesis (becoming) -- the time independent Hegelian dialectic or Hegel's cat (Fichte's cat). Schrodinger's cat is based upon Hegel's cat and he stole it from Plato (Socrates). The scientific method of asking primary questions to get answers is based upon the Socratic dialectic, which is also the Hegelian dialectic. Questions are dual to answers. "Philosophy is dead" -- Stephen Hawking. Stephen Hawking accepted the Schrodinger's car metaphor which is based upon metaphysics or philosophy, hence metaphysics is allowed in physics. "Antinomy (duality) is two truths that contradict each other" -- Immanuel Kant. "Always two there are" -- Yoda. Enantiodromia is the unconscious opposite or opposame (duality) -- Carl Jung.

Thanks! :) The next few videos are actually kind of a detour from hydrogen, laying out the basics of relativistic quantum mechanics, so when returning to hydrogen in part 3, we can treat the electron relativistically.

The Schrodinger equation is used to make predictions about the behaviour of matter and energy -- a syntropic process, teleological. Making predictions to track targets, goals and objectives is a syntropic process -- teleological. Teleological physics (syntropy) is dual to non teleological physics (entropy). Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics! Alive is dual to not alive -- the Schrodinger's cat superposition. Being is dual to non being creates becoming -- Plato's cat. Thesis (alive, being) is dual to anti-thesis (not alive, non being) creates the converging thesis or synthesis (becoming) -- the time independent Hegelian dialectic or Hegel's cat (Fichte's cat). Schrodinger's cat is based upon Hegel's cat and he stole it from Plato (Socrates). The scientific method of asking primary questions to get answers is based upon the Socratic dialectic, which is also the Hegelian dialectic. Questions are dual to answers. "Philosophy is dead" -- Stephen Hawking. Stephen Hawking accepted the Schrodinger's car metaphor which is based upon metaphysics or philosophy, hence metaphysics is allowed in physics. "Antinomy (duality) is two truths that contradict each other" -- Immanuel Kant. "Always two there are" -- Yoda. Enantiodromia is the unconscious opposite or opposame (duality) -- Carl Jung.

Great idea, thanks. I’ve updated the video description with a reference to Introduction to Elementary Particles, by David Griffiths. That book is a wonderful summary of the standard model, and is where I’m getting most of the ideas for this quantum physics playlist.

Thanks, I’m glad you enjoyed it! :)

Thanks, I’m glad to hear that! :)

I’m glad to hear that, thanks for watching! :)

Thanks! :)

Thanks, and I’m glad you enjoyed the video! :)

We’ll get a glimpse of that while looking at it the differences between Klein-Gordon and Dirac. I’ll also do a vid on the Proca equation, not sure whether it’ll be before or after hydrogen part 3. But then we’ll have seen relativistic scalar, spinor, and vector fields. At that point it’ll be natural to get into Wigner’s classification, and we can start building toward the idea that all the particles are irreducible representations of the Poincaré group - that’s where the answer to your question is ultimately found.

Thank you for watching! :)

Thanks, I’m glad you’re enjoying the videos! :)

The Schrodinger equation is used to make predictions about the behaviour of matter and energy -- a syntropic process, teleological. Making predictions to track targets, goals and objectives is a syntropic process -- teleological. Teleological physics (syntropy) is dual to non teleological physics (entropy). Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics! Alive is dual to not alive -- the Schrodinger's cat superposition. Being is dual to non being creates becoming -- Plato's cat. Thesis (alive, being) is dual to anti-thesis (not alive, non being) creates the converging thesis or synthesis (becoming) -- the time independent Hegelian dialectic or Hegel's cat (Fichte's cat). Schrodinger's cat is based upon Hegel's cat and he stole it from Plato (Socrates). The scientific method of asking primary questions to get answers is based upon the Socratic dialectic, which is also the Hegelian dialectic. Questions are dual to answers. "Philosophy is dead" -- Stephen Hawking. Stephen Hawking accepted the Schrodinger's car metaphor which is based upon metaphysics or philosophy, hence metaphysics is allowed in physics. "Antinomy (duality) is two truths that contradict each other" -- Immanuel Kant. "Always two there are" -- Yoda. Enantiodromia is the unconscious opposite or opposame (duality) -- Carl Jung.

Honestly I’m not sure about a book that focuses on graphical intuition. Unfortunately most of the physics books I know of are pretty dense with equations. But one book that stands out is Introduction to Elementary Particles, by Griffiths. He writes with such wonderful prose that the ideas become much more accessible, and there’s a good number of insightful figures in there too. It’s one of my favorite books of all time. If you’re already familiar with Maxwell’s equations and elementary optics, you’ll have a good mathematical foundation for learning the topics presented in that book.

The Schrodinger equation is used to make predictions about the behaviour of matter and energy -- a syntropic process, teleological. Making predictions to track targets, goals and objectives is a syntropic process -- teleological. Teleological physics (syntropy) is dual to non teleological physics (entropy). Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics! Alive is dual to not alive -- the Schrodinger's cat superposition. Being is dual to non being creates becoming -- Plato's cat. Thesis (alive, being) is dual to anti-thesis (not alive, non being) creates the converging thesis or synthesis (becoming) -- the time independent Hegelian dialectic or Hegel's cat (Fichte's cat). Schrodinger's cat is based upon Hegel's cat and he stole it from Plato (Socrates). The scientific method of asking primary questions to get answers is based upon the Socratic dialectic, which is also the Hegelian dialectic. Questions are dual to answers. "Philosophy is dead" -- Stephen Hawking. Stephen Hawking accepted the Schrodinger's car metaphor which is based upon metaphysics or philosophy, hence metaphysics is allowed in physics. "Antinomy (duality) is two truths that contradict each other" -- Immanuel Kant. "Always two there are" -- Yoda. Enantiodromia is the unconscious opposite or opposame (duality) -- Carl Jung.

Thanks! :)

Thanks! :)

Thanks, I’m glad you enjoyed them! :)

Yes, it’s very similar to the equation that governs the time evolution of a temperature distribution in a uniformly-conductive medium. That’s also the equation that runs through scale space, in image processing. These are all examples where the rate of change is proportional to the Laplacian.

Mixing relativity and quantum mechanics, hey what’s the worst that could happen? 😅

Feynman did all of that in 1948/49, but it doesn't get you very far. The problems that you are looking at here are physical, not mathematical. There is no self-consistent quantum theory of the electromagnetic field. There was none in the classical case, either, we are just not talking about the problems very much when we are teaching classical electromagnetism.

Yeah, I’m working on them now :) Sorry if it takes a while to post, life is quite busy these days but I try to find time when I can.

Oh man I should have submitted it! Totally forgot 😅

Well if it makes you feel better, this subject took many years for the geniuses of the world to figure out! Btw funnily enough, Schrodinger came up with a relativistic wave equation (that we now know as the Klein-Gordon equation), before Klein and Gordon. But Schrodinger, genius that he was, realized that the Klein-Gordon equation didn’t give the correct fine structure for the hydrogen energy eigenstates, so he fell back on his nonrelativistic equation since at least it was a very good approximation. Then Klein and Gordon published on the relativistic Schrodinger equation (which is what it’s sometimes called), so they got the credit. Problem is, KG predicted negative probability currents in some circumstances, and also requires a time derivative term as boundary conditions (these things are related). This went against the spirit of quantum mechanics at the time, which prompted Dirac to break geometry and take the square root of the energy-momentum-mass equation, thereby giving us a mathematical basis for interpreting spin and antimatter. We’ll go through that process in the upcoming videos.

@@RichBehiel It's been my observation that the difference between a good problem solver and a great problem solver is that a great problem solver cheats by changing the problem into one that can be solved.

The Schrodinger equation is used to make predictions about the behaviour of matter and energy -- a syntropic process, teleological. Making predictions to track targets, goals and objectives is a syntropic process -- teleological. Teleological physics (syntropy) is dual to non teleological physics (entropy). Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics! Alive is dual to not alive -- the Schrodinger's cat superposition. Being is dual to non being creates becoming -- Plato's cat. Thesis (alive, being) is dual to anti-thesis (not alive, non being) creates the converging thesis or synthesis (becoming) -- the time independent Hegelian dialectic or Hegel's cat (Fichte's cat). Schrodinger's cat is based upon Hegel's cat and he stole it from Plato (Socrates). The scientific method of asking primary questions to get answers is based upon the Socratic dialectic, which is also the Hegelian dialectic. Questions are dual to answers. "Philosophy is dead" -- Stephen Hawking. Stephen Hawking accepted the Schrodinger's car metaphor which is based upon metaphysics or philosophy, hence metaphysics is allowed in physics. "Antinomy (duality) is two truths that contradict each other" -- Immanuel Kant. "Always two there are" -- Yoda. Enantiodromia is the unconscious opposite or opposame (duality) -- Carl Jung.

Thanks! :)

Thanks, I’m glad you’re enjoying the videos! :)

Thanks! :)

I’m showing a Euclidean triangle here :) You’re right about the magnitude of the four-momentum. The next video is starting off from that point of view. But it’s tricky with the Minkowski metric, because the magnitude of the four-vector is smaller than what the hypotenuse of a triangle would graphically suggest.

Yes, the principle of least action applies universally. Quantum physics can be formulated concisely by defining the Lagrangian density of a field, then applying the principle of least action to derive field equations as the conditions that minimize the action when integrating the Lagrangian density over spacetime. That’s another way of deriving the Schrodinger equation (although the Lagrangian approach is often used more in QFT, for the Klein-Gordon, Dirac, or Proca equations). That’s all coherent with the kind of quantum physics where we start with the Schrodinger equation and calculate wavefunctions. But it’s much easier to calculate wavefunctions than to work with path integrals, for example. So, often the principle of least action is invoked only implicitly, as something that gives rise to the conceptual machinery that we take for granted.

@@RichBehiel Thank you, I'm really happy to hear this!! It helps give me a much better sense of the actual actions at play :)

The equations of motion minimize the action in quantum mechanics -- least action. The equations of motion are predictions -- syntropic. The Schrodinger equation is used to make predictions about the behaviour of matter and energy -- a syntropic process, teleological. Making predictions to track targets, goals and objectives is a syntropic process -- teleological. Teleological physics (syntropy) is dual to non teleological physics (entropy). Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics! Alive is dual to not alive -- the Schrodinger's cat superposition. Being is dual to non being creates becoming -- Plato's cat. Thesis (alive, being) is dual to anti-thesis (not alive, non being) creates the converging thesis or synthesis (becoming) -- the time independent Hegelian dialectic or Hegel's cat (Fichte's cat). Schrodinger's cat is based upon Hegel's cat and he stole it from Plato (Socrates). The scientific method of asking primary questions to get answers is based upon the Socratic dialectic, which is also the Hegelian dialectic. Questions are dual to answers. "Philosophy is dead" -- Stephen Hawking. Stephen Hawking accepted the Schrodinger's car metaphor which is based upon metaphysics or philosophy, hence metaphysics is allowed in physics. "Antinomy (duality) is two truths that contradict each other" -- Immanuel Kant. "Always two there are" -- Yoda. Enantiodromia is the unconscious opposite or opposame (duality) -- Carl Jung.

As soon as I can! :) I work on these vids in the evenings and weekends, but lately my schedule has been busier than usual so the next couple videos might take a little while.

Thanks! :)

Thanks! :)

Certainty is dual to uncertainty -- The Heisenberg certainty/uncertainty principle. The Schrodinger equation is used to make predictions about the behaviour of matter and energy -- a syntropic process, teleological. Making predictions to track targets, goals and objectives is a syntropic process -- teleological. Teleological physics (syntropy) is dual to non teleological physics (entropy). Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics! Alive is dual to not alive -- the Schrodinger's cat superposition. Being is dual to non being creates becoming -- Plato's cat. Thesis (alive, being) is dual to anti-thesis (not alive, non being) creates the converging thesis or synthesis (becoming) -- the time independent Hegelian dialectic or Hegel's cat (Fichte's cat). Schrodinger's cat is based upon Hegel's cat and he stole it from Plato (Socrates). The scientific method of asking primary questions to get answers is based upon the Socratic dialectic, which is also the Hegelian dialectic. Questions are dual to answers. "Philosophy is dead" -- Stephen Hawking. Stephen Hawking accepted the Schrodinger's car metaphor which is based upon metaphysics or philosophy, hence metaphysics is allowed in physics. "Antinomy (duality) is two truths that contradict each other" -- Immanuel Kant. "Always two there are" -- Yoda. Enantiodromia is the unconscious opposite or opposame (duality) -- Carl Jung.

Good point! It would certainly be wrong to say that light is the same as an ocean wave. Whether the term “wave” is broad enough to encompass all wavy things, is a matter of semantics. The great thing about math is that the equations specify the behavior of the waves, so there’s no semantic ambiguity when doing calculations.

There is no such thing as collapse.

Wow, when you put it like that, that’s wild! 🤯

Thanks for watching! :)

Great question! If psi were real-valued, then yes, because the rate of change would be proportional to the laplacian, so the wavefunction would flatten out and then stop moving. But since psi is complex, the phase provides a degree of freedom, which accommodates wavy solutions. You bring up a good point here. That’s actually why the Schrödinger equation has to be complex-valued. I should have clarified that in the video tbh.

The Schrodinger equation is used to make predictions about the behaviour of matter and energy -- a syntropic process, teleological. Making predictions to track targets, goals and objectives is a syntropic process -- teleological. Teleological physics (syntropy) is dual to non teleological physics (entropy). Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics! Alive is dual to not alive -- the Schrodinger's cat superposition. Being is dual to non being creates becoming -- Plato's cat. Thesis (alive, being) is dual to anti-thesis (not alive, non being) creates the converging thesis or synthesis (becoming) -- the time independent Hegelian dialectic or Hegel's cat (Fichte's cat). Schrodinger's cat is based upon Hegel's cat and he stole it from Plato (Socrates). The scientific method of asking primary questions to get answers is based upon the Socratic dialectic, which is also the Hegelian dialectic. Questions are dual to answers. "Philosophy is dead" -- Stephen Hawking. Stephen Hawking accepted the Schrodinger's car metaphor which is based upon metaphysics or philosophy, hence metaphysics is allowed in physics. "Antinomy (duality) is two truths that contradict each other" -- Immanuel Kant. "Always two there are" -- Yoda. Enantiodromia is the unconscious opposite or opposame (duality) -- Carl Jung.

Great question! I’ve never thought about that. Hmm. Well, gamma and momentum are interrelated, so if we put in a factor of gamma, it would implicitly be a function of momentum, so then momentum would be nonlinear. At that point we might as well go with Klein-Gordon (which btw is sometimes called the relativistic Schrodinger equation, because Schrodinger came up with it first, but was unsatisfied with it because it didn’t account for the fine structure of the hydrogen eigenstates). Dirac fixed that problem by linearizing the energy and momentum terms, which brought spin and antimatter into the equation. Anyway, another interesting feature of relativistic waves is that their phase oscillates, rapidly, even when the particle’s momentum is zero. The mc^2 rest energy term is twice the Newtonian momentum of a particle traveling at the speed of light, for a sense of perspective. So relativistic waves are oscillating super fast, while the Schrodinger equation for a particle at rest is just a constant, inert, lifeless complex number. So even far from the speed of light, there are qualitative differences between the two models.

@@RichBehiel Magic! Thanks again 😃

You’re right, the Schrödinger equation is kind of an ambiguous mix of both. I should have clarified that in the video. If psi were real, then it would be a heat equation for sure. Because the rate of change of the field would equal the laplacian, so the thing would diffuse out and settle down over time. But the complex phase and the i in the derivative, the SE has wave solutions because of the way the laplacian of the real part affects the imaginary part, etc., and that can go on waving forever. That’s actually why the SE must have a complex-valued psi.

Honestly I was gonna post later this week, but your comment inspired me to get it done today! :)

@@RichBehiel That made my day. And in turn, you've inspired me, and I'm sure many others to keep pushing the boundaries of our knowledge. I have a severe auto immune disease, where 1/4 of my days the pain burns and radiates through me so bad that I can't get out of bed. Learning is all I can do most of the time, and people like you always make it feel like more than just learning. It's like being able to go on a journey of discovery. Just the same way I used to be able to do at university. I just want you to know that the passion and care you put into your work is very obvious, and much appreciated

@joshberben9726 oh man! I’m sorry to hear that, and I wish you good health. It’s very gratifying to hear that you’ve been enjoying these videos, and I hope the future videos will continue to bring you that feeling of discovery! :)

At first glance yes, although this paradox can be accounted for when one looks only at the phase gradients, rather than the absolute phase. The phase gradients track coherently with each observer’s p value (in the nonrelativistic limit).

I’d like to look into that someday, but for the foreseeable future I’ll mostly be focusing on relativistic quantum physics and a bit of quantum field theory. To be totally honest, entanglement and such hurts my brain. I am not smart enough to figure out spooky action at a distance.

It hurts your brain because it's nonsense. It's not a reflection on you, it's a reflection of the level of dishonesty in the industry. The "entangled" particles have a correlation simply because they were created in a correlated state. It's nothing magical, despite the magical sounding descriptions and terminology being used. And unsurprisingly, once you "collapse the wave-function of the particle", it's as good as useless for further observation, because now you have interfered with the particle and it is no longer synchronized. Your measurement device requires interaction with the particle to measure it, and thus it energetically affects the particle. To also highlight how regular this concept really is, is the fact that you cannot adjust one of the particles to see a change in the other particle. In other words, this is nothing more than having two packets of energy with an opposite correlation (let's say phase, for example). In this case they use "spin" as we're dealing with particles. Sending them to two different points in space, and then saying "well, because this particle is up spin, we know the other particle must be down spin. Thus they're entangled, and we have correlation!" And now that it has been measured, that's the extent of it. That's literally it... It's like saying if I spin two spinning-tops on a table, one clockwise and the other anti-clockwise, they're "entangled" and their spin is "correlated". It's so silly. Non-locality is a myth and the idea of a "wave-function collapse", as if something is really in all possible states at once until observed, is nothing more than a mathematical abstraction and a way of saying "we don't know the value of something until we know the value of something". This tells us nothing about the universe itself. All fancy dressing up of incredibly straightforward electrodynamics and scalar field interactions. No spooky action at a distance, no magic. It's all marketing. @@RichBehiel