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1. Information and Local Realism: To prove that information is locally real, we need to define what we mean by "information" in this context. Let's consider a definition: Definition: Information is a measure of the state of a system that can be transmitted and received within the constraints of special relativity. Theorem: Information, as defined above, is locally real. Proof: a) Consider two spatially separated events, A and B. b) Let I_A be the information content at A, and I_B be the information content at B. c) By the principle of causality and special relativity, any change in I_B due to A cannot occur faster than the speed of light. d) Therefore, information respects locality. e) The state of the system carrying the information (e.g., particles, fields) has definite values before measurement, satisfying realism. f) Thus, information, as we've defined it, is locally real. 2. Dimensionality and Entropy: Hypothesis: 0D (dimensionless) entities are associated with perfect negentropy, while higher dimensions allow for the interplay of entropy and negentropy. Mathematically: In 0D: S = 0, N = maximum In R^n, n > 0: S > 0, N < maximum 3. Proving 0D is Non-Natural: Theorem: 0D entities are non-natural in the context of classical physics. Proof: a) Define "natural" as observable and measurable in classical physics. b) Classical physics operates in 3D space + 1D time (4D spacetime). c) 0D entities have no extension in space or time. d) Therefore, 0D entities are not observable or measurable in classical physics. e) Thus, 0D entities are non-natural in the classical physics framework. 4. Information in 0D vs. Higher Dimensions: In 0D: I = constant (perfect information preservation) In R^n, n > 0: dI/dt ≤ 0 (Second Law of Thermodynamics) Where I represents information content.

Thanks for another beautiful clip

Hi Nima, is it possible to upload in 480p quality?

Great series I encountered. Nowhere to find a comprehensive lecture series. We met at ICTS this year.

INTODUCTION TO NONLINEAR SIGMA MODELS ‼️‼️‼️‼️‼️‼️‼️‼️🗣️🗣️🗣️🗣️🗣️🗣️🗣️🗣️🗣️💯💯💯💯💯💯❓❓❓❓❓❓🤯🤯🤯🤯🤯🤯🤯🤯🤯🤯🤯🔥🔥🔥🔥🔥🔥🔥🔥🔥🤫🧏‍♀️🤫🧏‍♀️🤫🧏‍♀️🤫🧏‍♀️🤫🧏‍♀️

excellent videos really

Thank you so much for your lectures. They are the best for QFT. More modern and up to date. I hope you will post videos of the future lectures. When will you post Lec9? Thank You!

Fantastic content

Hi Professor Nima, is it possible to access the course materials for your QFT 1 and 2 courses (slides, assignments)? That would be nice as pedagogical aids to follow along with these lectures. It's not possible to access them from the course website. Thanks!

Is there a rule that says the order of multiplication in the fermion loop needs to go against the fermion "arrow"/momentum flow?

Great representation

Dear Prof. Lashkari, thanks for the lectures. Would you kindly upload lecture number 9?

LRG, you have set this video to be interrupted every 5 minutes by commercials... This is ridiculous: STOP IT. The tax payers have been carrying this seminar series for more than 50 years now, and you're treating it like a petty money making opportunity. These interruptions are distracting nonsense. [Additionally, you are still stuck doing 2+1 toy models. You might want to at least consider moving along; you know, unless you're actually going to solve the Riemann conjecture.]

Good 👍

Nice

GOOD

Thanks

Thanks for posting this video.

Interesting talk!

Thanks for sharing this!