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Di Beo's
Приєднався 20 сер 2015
We're Luca & Sofia Di Beo.
Luca is an ex-PhD Maths student from the University of Udine, Italy, with a degree in Physics at the University of São Paulo (USP), Brazil, and a Master’s degree in Mathematics at the University of Kyiv, Ukraine.
Sofia is a MA in History, from Northumbria University in the UK.
This channel was created with the intent to show that it is possible to learn complex concepts in mathematics, physics, and philosophy of science from anywhere in the world. Thus our motto "complex subjects made simple".
Please, let us know in the comments what kind of content you want us to post about (related to Math & Physics) so that we can help you somehow! Enjoy!
Remark: For private classes, or anything else, contact us through the following email address:
dibeos.contact@gmail.com
Luca is an ex-PhD Maths student from the University of Udine, Italy, with a degree in Physics at the University of São Paulo (USP), Brazil, and a Master’s degree in Mathematics at the University of Kyiv, Ukraine.
Sofia is a MA in History, from Northumbria University in the UK.
This channel was created with the intent to show that it is possible to learn complex concepts in mathematics, physics, and philosophy of science from anywhere in the world. Thus our motto "complex subjects made simple".
Please, let us know in the comments what kind of content you want us to post about (related to Math & Physics) so that we can help you somehow! Enjoy!
Remark: For private classes, or anything else, contact us through the following email address:
dibeos.contact@gmail.com
Number Theory is Impossible Without These 7 Things
Do you need PRIVATE CLASSES on Math & Physics, or do you know somebody who does? I might be helpful! My personal Whatsapp and email: +393501439448 ; dibeos.contact@gmail.com
Consider supporting us on Patreon:
www.patreon.com/user?u=86646021
Become a member to have exclusive access:
ua-cam.com/channels/3Z1rXCFFadHw69-PZpQRYQ.htmljoin
----------------------------------------------
MATH CHALLENGE: Try to prove Fermat's Last Theorem for the case n=3, namely: there exist no positive integers a, b, c such that a^3+b^3=c^3.
----------------------------------------------
🌟 Number Theory Origins: Exploring the Fascinating World of Numbers!
📊🎓 Join Luca and Sophia as they delve into the intriguing history and key concepts that shaped this foundational field of mathematics. Here’s a sneak peek into what you’ll discover:
1. The Beginnings with Pythagoras 📐
Luca introduces us to the Pythagoreans, the pioneers of number theory, who explored the intrinsic properties of numbers. Learn about the famous Pythagorean Theorem and its historical significance.
2. Euclid’s Algorithm 🧮
Sophia and Luca explain Euclid’s Algorithm, a groundbreaking method to find the greatest common divisor (GCD) of two numbers. See how this ancient geometric approach laid the foundation for modern computational techniques.
3. The Magic of Modular Arithmetic 🔢
Dive into the world of modular arithmetic with Carl Friedrich Gauss. Understand how working with remainders (e.g., 17≡5mod6) simplifies complex calculations and plays a crucial role in cryptography and computer science.
4. Fermat’s Last Theorem 💡
Explore the enigma of Fermat’s Last Theorem. Luca discusses how this simple statement about whole numbers stumped mathematicians for centuries until Andrew Wiles' proof in 1994, highlighting the evolution of number theory.
5. Algebraic Number Theory 🔍
Learn about ideal numbers and Dedekind domains. See how Ernst Kummer and Richard Dedekind’s contributions allowed mathematicians to tackle problems involving prime factorization and cyclotomic fields.
6. Analytic Number Theory 📈
Discover Euler’s product formula for the Riemann Zeta function and its implications for understanding prime numbers. See how Riemann’s Hypothesis connects the distribution of primes to complex analysis.
7. Geometric Number Theory 📏
Explore the geometry of numbers with Hermann Minkowski. Visualize lattice points and the Convex Body Theorem, understanding how geometric methods can solve number theory problems.
Why It Matters 🏆
Sophia and Luca wrap up by discussing the profound impact of number theory on modern mathematics, cryptography, and beyond. They highlight how the field continues to evolve, influencing various scientific and technological advancements.
Don’t forget to like, comment, and subscribe for more fascinating insights into the world of mathematics! 🚀✨
---
#NumberTheory #Mathematics #MathHistory #Pythagoras #Euclid #Gauss #Fermat #Riemann #Minkowski #MathEducation #STEM #PureMath #MathDiscovery #GreatestCommonDivisor #ModularArithmetic #AlgebraicNumberTheory #AnalyticNumberTheory #GeometricNumberTheory #PythagoreanTheorem #PrimeNumbers #Euler #RiemannHypothesis #Cryptography #MathResearch #MathGeniuses #MathFun #MathVideo #EducationalContent #MathTutorial #MathConcepts #NumberPatterns #IntegerSolutions #MathProofs #CyclotomicFields #DedekindDomains #IdealNumbers #RiemannZetaFunction #PrimeDistribution #LatticePoints #ConvexBodyTheorem #Topology #ComplexAnalysis #MathSymmetry #HistoricalMath #AdvancedMath #MathInfluence #MathematicalMethods #MathDevelopment #MathTechniques #MathLearning #MathCommunity
Consider supporting us on Patreon:
www.patreon.com/user?u=86646021
Become a member to have exclusive access:
ua-cam.com/channels/3Z1rXCFFadHw69-PZpQRYQ.htmljoin
----------------------------------------------
MATH CHALLENGE: Try to prove Fermat's Last Theorem for the case n=3, namely: there exist no positive integers a, b, c such that a^3+b^3=c^3.
----------------------------------------------
🌟 Number Theory Origins: Exploring the Fascinating World of Numbers!
📊🎓 Join Luca and Sophia as they delve into the intriguing history and key concepts that shaped this foundational field of mathematics. Here’s a sneak peek into what you’ll discover:
1. The Beginnings with Pythagoras 📐
Luca introduces us to the Pythagoreans, the pioneers of number theory, who explored the intrinsic properties of numbers. Learn about the famous Pythagorean Theorem and its historical significance.
2. Euclid’s Algorithm 🧮
Sophia and Luca explain Euclid’s Algorithm, a groundbreaking method to find the greatest common divisor (GCD) of two numbers. See how this ancient geometric approach laid the foundation for modern computational techniques.
3. The Magic of Modular Arithmetic 🔢
Dive into the world of modular arithmetic with Carl Friedrich Gauss. Understand how working with remainders (e.g., 17≡5mod6) simplifies complex calculations and plays a crucial role in cryptography and computer science.
4. Fermat’s Last Theorem 💡
Explore the enigma of Fermat’s Last Theorem. Luca discusses how this simple statement about whole numbers stumped mathematicians for centuries until Andrew Wiles' proof in 1994, highlighting the evolution of number theory.
5. Algebraic Number Theory 🔍
Learn about ideal numbers and Dedekind domains. See how Ernst Kummer and Richard Dedekind’s contributions allowed mathematicians to tackle problems involving prime factorization and cyclotomic fields.
6. Analytic Number Theory 📈
Discover Euler’s product formula for the Riemann Zeta function and its implications for understanding prime numbers. See how Riemann’s Hypothesis connects the distribution of primes to complex analysis.
7. Geometric Number Theory 📏
Explore the geometry of numbers with Hermann Minkowski. Visualize lattice points and the Convex Body Theorem, understanding how geometric methods can solve number theory problems.
Why It Matters 🏆
Sophia and Luca wrap up by discussing the profound impact of number theory on modern mathematics, cryptography, and beyond. They highlight how the field continues to evolve, influencing various scientific and technological advancements.
Don’t forget to like, comment, and subscribe for more fascinating insights into the world of mathematics! 🚀✨
---
#NumberTheory #Mathematics #MathHistory #Pythagoras #Euclid #Gauss #Fermat #Riemann #Minkowski #MathEducation #STEM #PureMath #MathDiscovery #GreatestCommonDivisor #ModularArithmetic #AlgebraicNumberTheory #AnalyticNumberTheory #GeometricNumberTheory #PythagoreanTheorem #PrimeNumbers #Euler #RiemannHypothesis #Cryptography #MathResearch #MathGeniuses #MathFun #MathVideo #EducationalContent #MathTutorial #MathConcepts #NumberPatterns #IntegerSolutions #MathProofs #CyclotomicFields #DedekindDomains #IdealNumbers #RiemannZetaFunction #PrimeDistribution #LatticePoints #ConvexBodyTheorem #Topology #ComplexAnalysis #MathSymmetry #HistoricalMath #AdvancedMath #MathInfluence #MathematicalMethods #MathDevelopment #MathTechniques #MathLearning #MathCommunity
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Black Holes are Impossible Without These 8 Things
Переглядів 77219 годин тому
Do you need PRIVATE CLASSES on Math & Physics, or do you know somebody who does? I might be helpful! My personal Whatsapp and email: 393501439448 ; dibeos.contact@gmail.com Consider supporting us on Patreon: www.patreon.com/user?u=86646021 Become a member to have exclusive access: ua-cam.com/channels/3Z1rXCFFadHw69-PZpQRYQ.htmljoin In this fascinating video, we unravel the incredible story behi...
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Do you need PRIVATE CLASSES on Math & Physics, or do you know somebody who does? I might be helpful! My personal Whatsapp and email: 393501439448 ; dibeos.contact@gmail.com Consider supporting us on Patreon: www.patreon.com/user?u=86646021 Become a member to have exclusive access: ua-cam.com/channels/3Z1rXCFFadHw69-PZpQRYQ.htmljoin 🎥 Discover the origins of topology and how it revolutionized ma...
Anyone Can Understand String Theory (Part 2)
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Do you need PRIVATE CLASSES on Math & Physics, or do you know somebody who does? I might be helpful! My personal Whatsapp and email: 393501439448 ; dibeos.contact@gmail.com Consider supporting us on Patreon: www.patreon.com/user?u=86646021 Become a member to have exclusive access: ua-cam.com/channels/3Z1rXCFFadHw69-PZpQRYQ.htmljoin 🎥 Unraveling String Theory Part 2: Mastering Measurements with ...
Linear Algebra is Impossible Without These 8 Things
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Do you need PRIVATE CLASSES on Math & Physics, or do you know somebody who does? I might be helpful! My personal Whatsapp and email: 393501439448 ; dibeos.contact@gmail.com Consider supporting us on Patreon: www.patreon.com/user?u=86646021 Become a member to have exclusive access: ua-cam.com/channels/3Z1rXCFFadHw69-PZpQRYQ.htmljoin 📊 Linear Algebra is the cornerstone of modern mathematics, shap...
You Can’t Criticize String Theory Without Understanding It (Part 1)
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Do you need PRIVATE CLASSES on Math & Physics, or do you know somebody who does? I might be helpful! My personal Whatsapp and email: 393501439448 ; dibeos.contact@gmail.com Consider supporting us on Patreon: www.patreon.com/user?u=86646021 Become a member to have exclusive access: ua-cam.com/channels/3Z1rXCFFadHw69-PZpQRYQ.htmljoin Article link: universealacarte.blogspot.com/2020/04/string-theo...
Why Probability Can Save Your Life
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The Di Beo's Method: What the Channel is About
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String Theory is Dead. Here’s What Isn’t
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6 Small Discoveries that Changed Math
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Should We Change the Scientific Method?
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Do you need PRIVATE CLASSES on Math & Physics, or do you know somebody who does? I might be helpful! My personal Whatsapp and email: 393501439448 ; dibeos.contact@gmail.com Consider supporting us on Patreon: www.patreon.com/user?u=86646021 Dive into the heart of modern physics with our latest discussion, where we unpack the intense debate surrounding the future of scientific discovery and the v...
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Thanks for the video on one of my fav topics
Chaos theory is also applied in psychology. Check out Terry Marks-Tarlow, she is trailblazer. She kinda established fractal psychology
7 things THALA for a reason 💛💛💛💛💛💛💛
Königsberg, not Konigsberg.
this man moves his muscles so annoyingly
Are you talking about Wiles?
yeah (i guess), he moves like an elder man but he's young. he should work out more. i'd love that more.
Bro, that's pure hate
@@LuckyCrab_ it is
the guy's really underrrated
We will follow your advice and keep going 😎💪🏻
❤❤❤
❤❤❤
Let us know what you liked and what kind of content you’d like to see in the channel, please! 😎
@@dibeos u r doing great keep going
uh-RITH-muh-tick is how you pronounce the noun "arithmetic." Its adjective is "arithmetical" and is pronounced air-rith-MET-tick-cull.
Awesome, I’m happy you like my beautiful accent 😎🤙🏻😂
P vs Np complete.. P does not equal NP A^3 + B ^2 = C^3 Where A is 1/x of C Or C multiplied by A equal 1. Decision problem with complex values: Problem: Given a set of complex numbers A, B, and x, is there a solution to the equation A^3 + B ^2 = C^3 where C is 1/x of A? Decision question: does there exist a set of complex numbers A,B, and x, such that A^3 + B ^2= C^3 , where C is 1/x of A. To demonstrate NP-completeness, we need to show two things: 1. The problem is in NP: Given a potential solution, we can verify it in polynomial time. 2. The problem is NP-hard: Any problem in NP can be reduced to this problem in polynomial time. To prove NP-hardness, we'll reduce the well-known NP-complete problem, the subset sum problem, to our decision problem with complex values. Subset Sum Problem: Given a set of integers and a target sum, does there exist a subset of the integers that sums to the target sum? We can reduce the subset sum problem to our decision problem with complex values by transforming the integers into complex numbers with zero imaginary parts: For each integer ai in the subset sum problem , we create a complex number. Ai = ai +0i . We set B=0 and X=1 Now, if there exists a subset of integers that sums to the target sum, then there exists a solution to our decision problem with complex values, where A^3 +B^2 = C^3. Therefore, our decision problem with complex values is NP-complete. Solution is percise with no approximation.. does exist with the knowledge by this author of this post …
I have a GENIUS PROOF, assume there exists some positive integers a, b, c such that a^3+b^3=c^3. now if this is the case then Fermats last theorem is false, but wait in the video it is said that Andrew Chad Whiles proved Fermats last Theorem if this turns out to be wrong then it can only be that Andrew Chad Whiles is not a Chad but THAT IS ABSURD the error came from assuming Andrew Chad was a Whiles 🤯🥴🤪🧠🧠🧠
🤦🏻♂️ man, you were really creative here, huh!? Hahaha how long did you take to come up with this BRILLIANT proof? 😂
Just subscribed. Please keep making these videos. You all deserve much more views. This content is gold
Thanks Omar! We will keep making them 😎🤙🏻 let us know what type of content you are interested in
That’s interesting, they don’t teach us that one algorithm to find the largest common denominator in Italy. They each us to factor the numbers and to pick all the common factors with the smallest exponent.
But I don’t think that this is taught this way only in Italy, in other parts of the world as well. The method we showed in the video though is the original one
• Pythagorean • Remainders • Primes What else ?
The 7 things we selected are: 1. Pythagorean theorem 2. Euclid’s algorithm 3. Modular arithmetic 4. Fermat’s Last Theorem 5. Algebraic Number Theory 6. Analytic Number Theory 7. Geometric Number Theory
lest gooo another video
💪🏻😎
Love thr vid! Very interesting topic and I learned quite alot! You deserve more subs❤
Thanks! We appreciate it, and we’ll keep on publishing. Let us know what you are interested in and what you liked specifically about the video (this way we can double on it) 😎🤙🏻
@dibeos i just liked how you two kept speaking with each other and explaining to us :) It felt like a natural conversation that I am part of. Most of my questions were asked, and you answered them all :)
@@lunarthicclipse8219 cool 😎
ok so that's equivalent to asking if there's any point of rational coordinates along the elliptic curve X^3 + Y^3 = 1 … I need to take a class abt that lol, I remember there are things to be said, but not much more…
An elliptic curve can be expressed as (X/A)^2+(Y/B)^2=1 , where A and B can be any value. This way you can (for example) graph the ellipse and ask about the points that satisfy this equation, for different parameters (or degrees of freedom) A and B
@@dibeos I mean, I wasn't talking about the equation of an ellipse, I was talking about the elliptic curve X^3 + Y^3 = 1, if you don't see what I'm talking about it might be interesting to look it up, elliptic curves are kinda trendy nowadays… and proving Ferma's last theorem for n = 3 is asking whether there are any rational-coordinates points on the elliptic curve X^3 + Y^3 = 1.
@@m9l0m6nmelkior7 aaah ok, I see what you mean know! Yeah, probably we will make a video about it too.
@@dibeos That would be great !!
Great video, could we have one talking about thermodynamics or complex number
Thanks for the comment, Toby&endy!! 😎 I will add both of them to the list. Actually, about complex numbers I was already preparing one. Do you have any specific requirements inside of thermodynamics and complex numbers?
Good Content
Thanks, Ajizul!!! Let us know what kind of videos you’d like to watch here
Remember a^n is not a+a+a n times it’s a*a*a n times, it’s n-tulple not n-sum as the first n terms become a side length for the next multiplication. Hope it helps trying to rationalize the solution.
Yes, it’s true, Dylan. Did you try the challenge in the description? (Just out of curiosity) 😎
well a^n is not always a*a*a...n times. It's only true if n: |n| ≥ 1 . That is, it lies in the interval (-∞,-1]U[1,∞)
@@dibeos I have worked on the general proof for n dimensions and it seems rigorous enough to challenge the long held belief that it’s proven impossible.
You have a knack for captivating your audience. 👏
Thank you for the video! Although I have worked with Modulars before in mathematics we only went over basics, I appreciate now the geometric aspects of it with regards to the visual idea of remainders. Great video Sofia and Luca!
Thanks again Riley!! It’s a pity that this video could not be “deeper”, but we are working on a video about a very cool subsection of number theory. It will be a little more technical, but I hope that it’s gonna be easy to understand for everyone anyway 😎
Vi agora que você é doutor pela USP, IME ou ICMC?
Oi Vinicius! Tudo bem se respondo em inglês? (Só porque o canal é em inglês…) I did a bachelors in physics at the University of São Paulo, Brazil, masters in mathematics at the University of Kiev, Ukraine, and (did not complete) my PhD in mathematics at the University of Udine, Italy.
@@dibeos oh, I read it wrong, but still amazing. I'm majoring in mathematics at USP, in ICMC. Great to see a fellow!
@@viniciuscilla2865 oh yeah!!! Let me know how I can help you (maybe making videos on things that would help you somehow)
@@dibeos Considering your background, why did you change from physics to math? Personally I was really in doubt about which area to follow when I was to decide, specially since I came from 2 years in electrical engineering. I ended up chosing math, but I think many people that love STEM in general have troubles to decide.
@@viniciuscilla2865 You know, the “unfortunate” thing is that there are too many interesting things to study in both math and physics, so it is impossible to really learn deeply any subject without sacrificing the other. I chose math because after having a strong background in physics I noticed that if I knew pure and applied math to a high enough level I would be able to learn pure math and theoretical physics. I’m very pleased with my decision, honestly. I think it’s easier to move from physics to math than the other way around. So I think you made the right decision as well haha
Thank you Luca and Sofia! You are great!!
As mathematician in Number Theory I love this video🥰 Also I happy for mentioning Cryptography, bc I cryptographer also😍
That’s awesome! You gave me the idea hahah now I want to make another one on Number Theory, but deeper (more technical)
@@dibeos oh, it would be nice Bc in this video you took all the history from ancient Greeks to 18 century And maybe, I will mention that if Euclid not prove that quantity of prime numbers is infinitely many, maybe we would be not hunting for more and more ambitiously big prime numbers And I will be write in next comment some idea for the next deep video
@@SobTim-eu3xu do it please. I think prime numbers will always be interesting because they look so “innocent”, but actually there is a world of their own to explore
@@dibeosyes, you right, if video would be full of prime numbers, it will be called cryptography is impossible without this 7 things, and this is not whole math(but algorithms can be looked by they formulas) But prime numbers, as you say is really a big world My idea is(not all can be in video) Prime numbers Riemann hypothesis Euler phi function(Fermar little theorem, Euler theorem) solving modular equations using phi function Kronecker/Jacobi/Legendre symbol I think that's it Do you have an email to send some ideas?
@@SobTim-eu3xu that’s awesome!!! I like this list so far. And yes, I do have an email: dibeos.contact@gmail.com
bardzo fajny kanał, podoba mi się
Dziękuję bardzo! Cieszę się, że Ci się podoba. Zapraszam do oglądania kolejnych filmów! Thank you very much! I'm glad you like it. Feel free to watch more of my videos! 😎
I appreciate your videos, thank you! Would you ever be open to covering semi-rings (tropical or otherwise), or Category Theory?
Hey Alex, thanks for the encouragement! I’m definitely open to publishing videos on any subjects related to math & physics, so feel free to comment what content you’d like to see. I personally do not have much knowledge on semi-rings, but I do know some Category Theory and I think that there are many interesting insights from the field. I guarantee you we’ll make a video on it soon. Let me study a little about semi-rings and add it to our list of ideas 😎
@@dibeos Cathegory theory would be great 🥰
@@adamsmainchannel3789 thank you!! I’m convinced hahaha 😎 then, after you watch it, let us know if the video was deep enough, because it’s really hard to talk about everything having just one week to prepare it
Please do a deep dive on Category Theory @@dibeos
@@Mowrioh we will do it soon!! 😎
sorry i couldn't continue, this format kills me (you explaining to someone else)
Why don’t you like it? Let us know how to improve the format
Of course Euler had to be in there.
Yeah, the guy was good hahah 😎
The way you pronounce things is grating to listen to.
Sorry about that, but I’m constantly working on improving my pronunciation 😎
@@dibeos Good to hear. ^_^
So you can turn a sphere inside out by passing planes of itself through the same plane of itself . And this is useful how ? Unless you've found what ghosts are made out of in what world is that sphere demonstration useful in anyway ?
Very good question! The surprising fact is that a sphere can be turned inside out in a smooth way/transformation. This is interesting because many natural phenomena (in physics for example) are continuous and smooth. I do not know of any application for this mathematical fact, and I do not believe there is nowadays. However, almost all of mathematical results that are extremely useful in applied sciences now were first discovered as something useless, and only later their amazing applications were found. So, in a sense, I think we should continue looking for ghosts… they may very well turn out to be useful at some point 😬🫥 at least that’s what history has taught us so far 🤷🏻♂️
Very concise presentation, great. "Shut up and calculate" is due to David Mermin, not RPF, I think.
Really? Cause I always thought it was from RPF… ok then, thanks 😎🤙🏻
@@dibeos I always thought so too, I stumbled upon it being from Mermin a while ago 🙂
@@georgestav4043 I honestly didn’t know who Mermin was. I just looked it up. Shame on me 😶
Calculus... developed by Renee Descartes... How tf are you gonna mention Descartes over Newton and Leibniz with respect to calculus?
Well, you are correct. Newton and Leibniz are the true “developers” of Calculus. What we meant is that Descartes gave very important contributions to Newton’s and Leibniz’s “toolbox” of mathematical tricks. In fact we have another video here in the channel where we talk about Newton and Leibniz and how they developed Calculus 😎
en.wikipedia.org/wiki/Two-dimensional_conformal_field_theory at 4:19 the answer is that the 2D conformal algebra is infinite dimensional, while any other dimension has a finite number of degrees of freedom. (huge stretch of an analogy, but) it's like how you can have ANY number of sides on a regular polygon, but only finitely many regular polytopes in any other dimension. This is actually the current area I'm diving into (knot theory is my beloved area of maths, but so many models of string theory have applications for knot invariants) so it's fresh on my mind but still rather new to me as well... all that being said, my money is 100% on TQFTs and M-theory being the future of physics, once we iron out the AdS4xS7 version of AdS/CFT (and address the elephant in the room of the cosmological constant). Especially since these theories effectively imply the cosmological equivalence principle of GR by absorbing any spin-2 tensors into the "graviton", and the elegance of supergravity -- oh, the merge of gauging supersymmetry and supersymmetrizing gravity at the same time with a gravitino in the vielbien model) is GORGEOUS! Stephen Hawking didn't have the mathematical tools at access in the 80s and 90s to truly articulate N=8 supergravity, but he absolutely was ahead of his time. So sorry for the rant, LOL, i hope this comment helps! i am just a nerd, i may not be correct on the above, but it is my best understanding of the situation. I can send you links to some explainers/publications (including the arXiv and CERN's official website) that have been great at catching me up to speed if you're interested!! otherwise KEEP UP THE GREAT WORK I LOVE YALLS CHANNEL <3
WHOA!!! WHERE'D YOU GET THAT GAME-OF-LIFE ON THE SURFACE OF A TREFOIL?!?! I'm a knot theorist and you guys absolutely did us justice! I especially love that you go through the HISTORY and not just the mathematics. Subscribed, liked, can't wait for more! (and to know where the trefoil surface Conway cellular automaton came from!!)
Thanks for the nice comment! I think knot theory is super interesting too!! We will make a video on it 😎🤙🏻
Also here’s the link to the image commons.m.wikimedia.org/wiki/File:Trefoil_knot_conways_game_of_life_without_background_and_fitting.gif
In regards to the "why a string and not a higher dimensional object" question, I don't have any answers myself, though it has intrigued me that, if the number of dimensions relates to required degrees of freedom for vibration modes, a significant number could be added if the string had a defined thickness and was allowed to vibrate by transverse deformation. (Although the math doesn't add up, unfortunately)
Yes, it makes sense… but could the choice of a string rather than any other higher dimensional object be just the consequence of the choice of a “beautiful and simple” theory, in your opinion?
@@dibeos that's kind of my suspicion. String theory originated from a model of hadrons that was later replaced by the three charges of the strong force, so there's really no reason to not try and find other resonant structures that replicate the graviton.
Very good video❤
Thank you!! 😎 We are glad you liked it
Very interesting video. It is somehow sometimes hard to watch tho
Why is it hard to watch? Let us know how to improve it please
Very high quality. Keep up the good work, the channel will explode any minute.
Thank you so much for the nice comment, Gerardo! 😎🤙🏻
And we will be a that 1%, who the "old's"
@@SobTim-eu3xu thanks for the support, really! And let us know what kind of content you guys would like to watch 😉
@@dibeos just do what you do Its the greatest You its what you do, that some things, small details that differ you from everyone But, if some idea will be in my mind, I will immediately text her
@@SobTim-eu3xu thanks 😎🤙🏻
Konigsberg is occupied by ruZZians for 80 years.
Ever since M-Theory. As long as you include Dilatons and AdS/CFT construction. In principle, you do have a point that it doesn’t need to be strings. And given such branes is what united seemingly different string theories via branes + symmetries, hence M-Theory. Aswell as paved the way to the more recent F-Theory advancements that use Calabai-Yau 4-Folds to restrict the string landscape to ones compatible with our universe, whilst keeping benefits of string theory simultaneously. All thanks to branes. I'm suprised they even call it "string theory" still. Its more like "brane theory" at this point due to generality.
(Sidenote for layman's readers: Dilaton is for varying volume systems acrost the compactified multi-dimensional system. Whilst AdS/CFT for the parlor trick of dealing with Infinities in AdS via going to CFT, or alternatively dealing with infinities in CFT via going to AdS. The combo of these 2 pretty much guarantees any N-Brane systems usability *as long as you keep track of the important details ofc* ) (Additional Sidenote for those who are more technically inclined: D-Branes are just extremely P-Branes. Where's P-Branes are formed by such Dilatons. Hence the emergence of the Dirchelet Boundry condition using such methods)
There's so much to HATE about math. (Any math past the 5th grade, that is.)
Why do you say so?
awesome video once again! I remember being amazed when I first saw the picture because it felt like a huge moment for mankind despite only being an image. I'm surprised it took 2yrs to get the image processed but it was totally worth it. Also, I didn't know about the network of radio towers that were used. Amazing coordination just to get a single image.❤
Thanks Riley! Yeah, this photo looks very simple, but behind it there’s a long intellectual history that took us to this amazing discovery
Most people don't know that Einstein said that singularities are not possible. In the 1939 journal "Annals of Mathematics" he wrote - "The essential result of this investigation is a clear understanding as to why the Schwarzchild singularities (Schwarzchild was the first to raise the issue of General Relativity predicting singularities) do not exist in physical reality. Although the theory given here treats only clusters (star clusters) whose particles move along circular paths it does seem to be subject to reasonable doubt that more general cases will have analogous results. The Schwarzchild singularities do not appear for the reason that matter cannot be concentrated arbitrarily. And this is due to the fact that otherwise the constituting particles would reach the velocity of light." He was referring to the phenomenon of dilation (sometimes called gamma or y) mass that is dilated is smeared through spacetime relative to an outside observer. It's the phenomenon behind the phrase "mass becomes infinite at the speed of light". Time dilation is just one aspect of dilation, it's not just time that gets dilated. A graph illustrates its squared nature, dilation increases at an exponential rate the closer you get to the speed of light. Dilation will occur wherever there is an astronomical quantity of mass because high mass means high momentum. This includes the centers of very high mass stars and the overwhelming majority of galaxy centers. It can be inferred mathematically that the mass at the center of our own galaxy must be dilated. This means that there is no valid XYZ coordinate we can attribute to it, you can't point your finger at something that is smeared through spacetime. More precisely, everywhere you point is equally valid. In other words that mass is all around us. This is the explanation for galaxy rotation curves/dark matter. The "missing mass" is dilated mass. Dilation does not occur in galaxies with low mass centers because they do not have enough mass to achieve relativistic velocities. It has recently been confirmed in 6 very low mass galaxies including NGC 1052-DF2 and DF4 to have no dark matter, in other words they have normal rotation rates.
Topological logic went too far and almost crossed the boundaries 😏😳😂😂folk she knows what I mean..
are you guys a couple or siblings? can't tell 😂😂😂but i love the two-narrator system it makes it much more interesting!
Thanks for the nice comment, Princedhq!!! We are a married couple haha 😄
This is a very good channel
Thanks Pavan 😎🤙🏻
There's nothing preventing us from depicting or visualizing four geometric dimensions. This myth is so tired.
Oh really? What do you mean? How can I do it?
@@dibeos I'm working on my own video series, I'll post the first one here when it's done (week or so).
@@tedsheridan8725 that’s awesome! Please, do not forget! I love learning new insights on how to visualize higher dimensions
@@dibeos Basically the way we see, or display objects on a screen, is to project 3D onto a 2D plane (like our visual field). You can do the same thing with 4D by first projecting into 3D, and then into a 2D screen. The math isn't complicated but the results take time to learn how to interpret.
@@tedsheridan8725 that’s super cool