Video yükleniyor...

Video Yüklenemedi

Ana Sayfaya Dön

Every quantum state in the universe is a vector - not in 3D space, but in a complex space with potentially infinite dimensions where the sum of squared coefficients always equals exactly 1. That constraint is the same math LLMs use to normalize probability distributions over tokens. A wavefunction...

0xEronn's profile picture

Eron

5,076 subscribers

18,166 görüntüleme • 1 ay önce •via X (Twitter)

LIVE

Anya Rossi• Live Now

Private livecam show

0 Yorum

Yorum bulunmuyor

Orijinal gönderinin yorumları burada görünecek

Benzer Videolar

The Hopf fibration maps a 4D hypersphere onto a regular sphere using circles that never touch but link through each other. It's the same structure that describes qubit states on the Bloch sphere - the geometry every quantum computer runs on. Most people think four dimensions are impossible to visualize. Stereographic projection collapses them onto a screen without losing the topology - the same trick GPS satellites use to map curved space onto flat coordinates. 12 minutes. Bookmark & watch today. The math is stranger than the universe.
12:43

The Hopf fibration maps a 4D hypersphere onto a regular sphere using circles that never touch but link through each other. It's the same structure that describes qubit states on the Bloch sphere - the geometry every quantum computer runs on. Most people think four dimensions are impossible to visualize. Stereographic projection collapses them onto a screen without losing the topology - the same trick GPS satellites use to map curved space onto flat coordinates. 12 minutes. Bookmark & watch today. The math is stranger than the universe.

Eron

14,881 görüntüleme • 28 gün önce

Complex numbers aren't imaginary. They're the only way to describe a wave that has both amplitude and phase at the same time - and every LLM processes language as exactly that kind of wave through its attention layers. The same math that describes quantum wave interference is what makes Fourier transforms work, which is what lets GPT process tokens in parallel instead of one at a time. Descartes named them "imaginary" before anyone understood what they were. 20 minutes. Bookmark & watch today. The confusion clears up faster than any textbook manages.
19:29

Complex numbers aren't imaginary. They're the only way to describe a wave that has both amplitude and phase at the same time - and every LLM processes language as exactly that kind of wave through its attention layers. The same math that describes quantum wave interference is what makes Fourier transforms work, which is what lets GPT process tokens in parallel instead of one at a time. Descartes named them "imaginary" before anyone understood what they were. 20 minutes. Bookmark & watch today. The confusion clears up faster than any textbook manages.

Eron

43,247 görüntüleme • 27 gün önce

Eigenvalues are why Google's PageRank converges, why PCA compresses 1,000-dimensional embeddings into 2D without losing structure, and why quantum mechanics gives discrete energy levels instead of a continuous blur. The same matrix operation that finds the most important directions in a dataset is what transformer attention heads use to rotate and project token embeddings into query-key space. Every LLM response you've ever read passed through dozens of eigenvalue decompositions. 22 minutes. Bookmark & watch today. The most useful operation in all of applied mathematics.
20:56

Eigenvalues are why Google's PageRank converges, why PCA compresses 1,000-dimensional embeddings into 2D without losing structure, and why quantum mechanics gives discrete energy levels instead of a continuous blur. The same matrix operation that finds the most important directions in a dataset is what transformer attention heads use to rotate and project token embeddings into query-key space. Every LLM response you've ever read passed through dozens of eigenvalue decompositions. 22 minutes. Bookmark & watch today. The most useful operation in all of applied mathematics.

Eron

21,712 görüntüleme • 17 gün önce

Fourier wrapped a signal around a circle in 1822. Every Spotify equalizer, every noise filter in your AirPods, and every frequency layer inside ChatGPT runs on what he found. The trick is simple. Spin the signal at different speeds. When the spin matches a hidden frequency, the center of mass shifts. That shift is the answer. Claude and GPT use this same idea to separate relevant tokens from noise. 20 minutes. Bookmark & watch today. The math is older than the telephone.
19:36

Fourier wrapped a signal around a circle in 1822. Every Spotify equalizer, every noise filter in your AirPods, and every frequency layer inside ChatGPT runs on what he found. The trick is simple. Spin the signal at different speeds. When the spin matches a hidden frequency, the center of mass shifts. That shift is the answer. Claude and GPT use this same idea to separate relevant tokens from noise. 20 minutes. Bookmark & watch today. The math is older than the telephone.

Eron

57,431 görüntüleme • 1 ay önce

This is a visualization of a Rydberg wavepacket. In simple terms it is a way of showing an electron in a very highly excited quantum state. The Math comes from the Schrödinger equation for hydrogen where the electron is described by a wavefunction rather than as a tiny ball moving on a fixed path. The yellow sphere at the centre is the proton, not the electron. The colored 3D surface around it shows places where the electron is more likely to be, i.e. a probability cloud.
0:56

This is a visualization of a Rydberg wavepacket. In simple terms it is a way of showing an electron in a very highly excited quantum state. The Math comes from the Schrödinger equation for hydrogen where the electron is described by a wavefunction rather than as a tiny ball moving on a fixed path. The yellow sphere at the centre is the proton, not the electron. The colored 3D surface around it shows places where the electron is more likely to be, i.e. a probability cloud.

Mathelirium

17,580 görüntüleme • 27 gün önce

Without the Pauli Exclusion Principle, every electron in every atom would collapse to the lowest energy level. No chemistry. No molecules. No life. No hardware to run Claude on. It's not a fundamental law — it's a consequence of wavefunctions being anti-symmetric. Two identical fermions in the same quantum state cancel each other out completely. Every GPU chip, every transistor, every bit of silicon that runs GPT exists because of this one sign flip. 19 minutes. Bookmark & watch today. The universe runs on antisymmetry.
20:51

Without the Pauli Exclusion Principle, every electron in every atom would collapse to the lowest energy level. No chemistry. No molecules. No life. No hardware to run Claude on. It's not a fundamental law — it's a consequence of wavefunctions being anti-symmetric. Two identical fermions in the same quantum state cancel each other out completely. Every GPU chip, every transistor, every bit of silicon that runs GPT exists because of this one sign flip. 19 minutes. Bookmark & watch today. The universe runs on antisymmetry.

Eron

21,199 görüntüleme • 1 ay önce

As someone who ships LLM systems in production, this double pendulum video is the closest thing to a "why one changed word breaks Claude and GPT-5" explainer I've ever seen released for free. Everyone thinks LLMs are deterministic machines. They're not. Every prompt to GPT-5 is a chaotic double pendulum - a tiny perturbation in the initial state (one comma, one whitespace) sends the entire response into a completely different attractor. Bookmark this 26-min video and watch tonight. Same butterfly-effect chaos that broke Poincaré's math, now the exact reason your API calls to Claude feel unreliable.
22:53

As someone who ships LLM systems in production, this double pendulum video is the closest thing to a "why one changed word breaks Claude and GPT-5" explainer I've ever seen released for free. Everyone thinks LLMs are deterministic machines. They're not. Every prompt to GPT-5 is a chaotic double pendulum - a tiny perturbation in the initial state (one comma, one whitespace) sends the entire response into a completely different attractor. Bookmark this 26-min video and watch tonight. Same butterfly-effect chaos that broke Poincaré's math, now the exact reason your API calls to Claude feel unreliable.

fintex

51,599 görüntüleme • 20 gün önce

Is it time to quantize time? Everything is quantum in quantum mechanics... almost. Time remains a mysterious flowing quantity slotted in to the equations. Surprisingly, there's a model for making time quantum, with a radical consequence: the overall universe is timeless. How is it possible to experience a flow of time in a timeless universe?! Find out in my latest episode of the Quantum Foundations Podcast with Simone Rijavec, Simone Rijavec! We discuss the Page-Wootters model for the emergence of time in quantum theory, and get an insight into Simone's research on the topic. Here's how physicists are solving the problem of time in quantum theory, explained in 60 minutes: 00:00 Coming Up 00:59 Intro 01:37 Simone's journey into quantum 05:04 The problem of time in quantum theory 07:07 Relational approach to time 11:12 Quantum measurement and time 17:53 Stationary universe and the Wheeler-DeWitt equation 30:18 Multiverse & block universe 31:11 How is time flowing? 34:20 Problems with wave-function collapse 36:11 What are clocks? 37:48 Resolution of time-steps 41:47 Debates on the timeless approach 45:08 Interactions with clocks 51:05 Recap 57:39 Making time fully quantum 1:00:43 Behind the Scenes
1:01:22

Is it time to quantize time? Everything is quantum in quantum mechanics... almost. Time remains a mysterious flowing quantity slotted in to the equations. Surprisingly, there's a model for making time quantum, with a radical consequence: the overall universe is timeless. How is it possible to experience a flow of time in a timeless universe?! Find out in my latest episode of the Quantum Foundations Podcast with Simone Rijavec, Simone Rijavec! We discuss the Page-Wootters model for the emergence of time in quantum theory, and get an insight into Simone's research on the topic. Here's how physicists are solving the problem of time in quantum theory, explained in 60 minutes: 00:00 Coming Up 00:59 Intro 01:37 Simone's journey into quantum 05:04 The problem of time in quantum theory 07:07 Relational approach to time 11:12 Quantum measurement and time 17:53 Stationary universe and the Wheeler-DeWitt equation 30:18 Multiverse & block universe 31:11 How is time flowing? 34:20 Problems with wave-function collapse 36:11 What are clocks? 37:48 Resolution of time-steps 41:47 Debates on the timeless approach 45:08 Interactions with clocks 51:05 Recap 57:39 Making time fully quantum 1:00:43 Behind the Scenes

Dr Maria Violaris

63,981 görüntüleme • 10 ay önce

Erwin Schrödinger’s 1926 equation changed the game by turning Quantum Mechanics into wave dynamics. That move gave Physics a new way to think. Instead of forcing a particle onto one sharp path, it lets a complex wavefunction evolve in time, with its shape and phase holding the structure of the phenomenon. What makes this so striking is that Schrödinger’s equation does not start from vague mystery. It starts from a precise and daring idea The state of a particle is a complex field ψ(x,t), and the dynamics must push ψ forward in a way that preserves total probability.
0:33

Erwin Schrödinger’s 1926 equation changed the game by turning Quantum Mechanics into wave dynamics. That move gave Physics a new way to think. Instead of forcing a particle onto one sharp path, it lets a complex wavefunction evolve in time, with its shape and phase holding the structure of the phenomenon. What makes this so striking is that Schrödinger’s equation does not start from vague mystery. It starts from a precise and daring idea The state of a particle is a complex field ψ(x,t), and the dynamics must push ψ forward in a way that preserves total probability.

Mathelirium

54,894 görüntüleme • 5 ay önce

String Theory is one of the few frameworks that tries to describe Quantum Physics and Gravity in the same mathematical language. In this animation, the glowing loop is the string, the shifting color along it represent its quantum vibration modes, and the surrounding fabric is a proxy for Spacetime responding. When you quantize a string, one of its vibration modes behaves like a graviton. So, geometry shows up as part of the same quantum system. #StringTheory #QuantumGravity #GeneralRelativity #QuantumPhysics #TheoreticalPhysics #PhysicsVisualization
1:00

String Theory is one of the few frameworks that tries to describe Quantum Physics and Gravity in the same mathematical language. In this animation, the glowing loop is the string, the shifting color along it represent its quantum vibration modes, and the surrounding fabric is a proxy for Spacetime responding. When you quantize a string, one of its vibration modes behaves like a graviton. So, geometry shows up as part of the same quantum system. #StringTheory #QuantumGravity #GeneralRelativity #QuantumPhysics #TheoreticalPhysics #PhysicsVisualization

Mathelirium

42,235 görüntüleme • 6 ay önce

$IONQ The U.S. National Science Foundation just launched Project Triad: "the first-ever system where quantum sensing, networking and computing work together in concert," built to turn quantum into real-world applications across safety, healthcare, energy and defense. Now look at the elements. Sensing, computing, networking, the exact three domains NSF wants to unite. IonQ Federal's Rick Muller laid out all three at World Quantum Day, months earlier: Sensing: PNT clocks roughly 1000× more accurate than GPS (Vector Atomic), plus space (Capella) and optical comms (Skyloom). Networking: a contract in DARPA's Heterogeneous Architectures for Quantum (HARQ) program, plus QKD and entanglement distribution. Computing: nearing fault-tolerant operation in DARPA's Quantum Benchmarking Initiative (QBI), verified by DARPA. So it's not one program. IonQ is stacking two DARPA programs (HARQ and QBI) on top of the Vector Atomic, Capella and Skyloom acquisitions. His words: "IonQ can provide an engine to drive federal quantum integration that no other companies can." Now put the two diagrams side by side. NSF's illustration of an "integrated quantum system" and IonQ's timing architecture are the same picture: networked satellites, ground stations, sensors and a quantum computer, tied together by quantum links. NSF hasn't named a company. But it's building a national program around the architecture IonQ already has, down to the diagram. Sound familiar? 🔗 #IonQ #Quantum #ProjectTriad
4:05

$IONQ The U.S. National Science Foundation just launched Project Triad: "the first-ever system where quantum sensing, networking and computing work together in concert," built to turn quantum into real-world applications across safety, healthcare, energy and defense. Now look at the elements. Sensing, computing, networking, the exact three domains NSF wants to unite. IonQ Federal's Rick Muller laid out all three at World Quantum Day, months earlier: Sensing: PNT clocks roughly 1000× more accurate than GPS (Vector Atomic), plus space (Capella) and optical comms (Skyloom). Networking: a contract in DARPA's Heterogeneous Architectures for Quantum (HARQ) program, plus QKD and entanglement distribution. Computing: nearing fault-tolerant operation in DARPA's Quantum Benchmarking Initiative (QBI), verified by DARPA. So it's not one program. IonQ is stacking two DARPA programs (HARQ and QBI) on top of the Vector Atomic, Capella and Skyloom acquisitions. His words: "IonQ can provide an engine to drive federal quantum integration that no other companies can." Now put the two diagrams side by side. NSF's illustration of an "integrated quantum system" and IonQ's timing architecture are the same picture: networked satellites, ground stations, sensors and a quantum computer, tied together by quantum links. NSF hasn't named a company. But it's building a national program around the architecture IonQ already has, down to the diagram. Sound familiar? 🔗 #IonQ #Quantum #ProjectTriad

TechInnovation

17,144 görüntüleme • 2 ay önce

As someone who trains and fine-tunes LLMs, this backpropagation video is the closest thing to a "the calc 1 rule that trains every LLM on earth" explainer I've ever seen released for free. Everyone thinks training GPT-5 requires exotic math. It doesn't. The entire $500B AI industry runs on the chain rule from freshman calculus - the exact rule Marvin Minsky said would never work. Bookmark this 30-min video and watch tonight. Same math your high school teacher taught you, now updating every weight in Claude, GPT-5, and Llama.
30:31

As someone who trains and fine-tunes LLMs, this backpropagation video is the closest thing to a "the calc 1 rule that trains every LLM on earth" explainer I've ever seen released for free. Everyone thinks training GPT-5 requires exotic math. It doesn't. The entire $500B AI industry runs on the chain rule from freshman calculus - the exact rule Marvin Minsky said would never work. Bookmark this 30-min video and watch tonight. Same math your high school teacher taught you, now updating every weight in Claude, GPT-5, and Llama.

fintex

50,442 görüntüleme • 27 gün önce

Why quantum theory could have a fractal structure: explained in 83 minutes. The notion of true quantum nonlocality is absurd. In the latest episode of the Quantum Foundations Podcast, Prof Tim Palmer from the University of Oxford suggests that there is a hidden assumption in standard quantum mechanics, and dropping it will save us from this absurdity. Namely, the reality of counterfactuals: the physics of what could have happened but did not. Inspired by chaos theory and the fractal structure widespread in atmospheric physics, Palmer has developed a new underlying structure for quantum theory, with radical implications for our fundamental principles of quantum physics; the limits of quantum computation; and perhaps even the search for quantum gravity. Watch on my YouTube channel, or listen on Spotify and Apple Podcasts!
1:34

Why quantum theory could have a fractal structure: explained in 83 minutes. The notion of true quantum nonlocality is absurd. In the latest episode of the Quantum Foundations Podcast, Prof Tim Palmer from the University of Oxford suggests that there is a hidden assumption in standard quantum mechanics, and dropping it will save us from this absurdity. Namely, the reality of counterfactuals: the physics of what could have happened but did not. Inspired by chaos theory and the fractal structure widespread in atmospheric physics, Palmer has developed a new underlying structure for quantum theory, with radical implications for our fundamental principles of quantum physics; the limits of quantum computation; and perhaps even the search for quantum gravity. Watch on my YouTube channel, or listen on Spotify and Apple Podcasts!

Dr Maria Violaris

18,602 görüntüleme • 7 ay önce

Harvard physicist Jacob Barandes returns with a groundbreaking insight that could reshape quantum theory. By questioning a single hidden assumption, Jacob bridges the gap between classical probability and quantum mechanics. This ‘mathematical accident’ challenges the foundations of Bell’s Theorem, dissolves the measurement problem, and opens a path to a realist interpretation of quantum physics. This episode is a rigorous journey through stochastic processes, non-locality, and the future of theoretical physics.
1:00

Harvard physicist Jacob Barandes returns with a groundbreaking insight that could reshape quantum theory. By questioning a single hidden assumption, Jacob bridges the gap between classical probability and quantum mechanics. This ‘mathematical accident’ challenges the foundations of Bell’s Theorem, dissolves the measurement problem, and opens a path to a realist interpretation of quantum physics. This episode is a rigorous journey through stochastic processes, non-locality, and the future of theoretical physics.

Curt Jaimungal

20,908 görüntüleme • 1 yıl önce

IBM CEO Arvind Krishna just shared a breakthrough update on Quantum Computing in India: ​• The Timeline: Quantum is no longer a distant future. We are looking at massive commercial advantage in just 2-3 years. • Amaravati Quantum Valley: IBM is setting up a quantum computer right in Amaravati, working hand-in-hand with the AP state government! (Only two locations in India will get this). • Talent Magnet: The location was chosen to unlock and leverage India's deep math and physics talent the exact quality and depth needed to solve complex quantum problems. ​Andhra Pradesh is rapidly cementing its position as India's ultimate deep-tech powerhouse!
2:35

IBM CEO Arvind Krishna just shared a breakthrough update on Quantum Computing in India: ​• The Timeline: Quantum is no longer a distant future. We are looking at massive commercial advantage in just 2-3 years. • Amaravati Quantum Valley: IBM is setting up a quantum computer right in Amaravati, working hand-in-hand with the AP state government! (Only two locations in India will get this). • Talent Magnet: The location was chosen to unlock and leverage India's deep math and physics talent the exact quality and depth needed to solve complex quantum problems. ​Andhra Pradesh is rapidly cementing its position as India's ultimate deep-tech powerhouse!

Amaravati Updates | Capital of Andhra Pradesh, IND

38,237 görüntüleme • 2 ay önce

In 2006, Netflix offered $1,000,000 to anyone who could improve their recommendation algorithm by 10%. Over 2,000 teams competed for three years. The team that won did not use more data. They used fewer dimensions. They found a basis - a small set of independent vectors that captured everything important about 100,000,000 movie ratings. The lead mathematician on the winning team: $2,800,000 a year. A machine learning engineer at Spotify building the same kind of system: $245,000 a year. This is MIT 18.06, Lecture 9 - Gilbert Strang. Free on YouTube. Most people think independence is obvious. Two vectors pointing in different directions. Then the definition. Independence means no combination of your vectors gives the zero vector - except the trivial one where all the coefficients are zero. That's it. That's the whole definition. But watch what it unlocks. Watch the moment Strang puts three vectors in a two-dimensional plane. He doesn't even tell you which three vectors. He just draws them. And immediately says: dependent. No question. No calculation. Why? Because three vectors in two-dimensional space means more columns than rows. More unknowns than equations. That always forces a free variable. A free variable always gives a non-zero solution to Ax = 0. And that non-zero solution is a combination of the columns that produces zero. Dependence. "Three vectors in the plane have to be dependent. That's the key fact." Then the basis. A basis is vectors that are independent and span the space. Not too few, not too many. Just right. The pivot columns of any matrix form a basis for the column space. Every other basis you can think of will have exactly the same number of vectors. Then the dimension. All bases for the same space have the same number of vectors. That number is the dimension. The rank of a matrix is the dimension of its column space. The number of free variables is the dimension of the null space. And rank plus null space dimension equals the total number of columns. "I don't take the dimension of A. I take the dimension of the column space of A. If you use those words right, it shows you've got the idea right." A data scientist at Netflix building recommendation engines: $230,000 a year. A quantitative researcher at Two Sigma finding independent factors in financial markets: $350,000 a year. A computer vision engineer at Apple using low-dimensional representations for face recognition: $260,000 a year. They all needed to know how many dimensions were really there. bookmark this and watch later - after this lecture every dataset you look at will feel like a matrix waiting to be reduced to its basis.
48:56

In 2006, Netflix offered $1,000,000 to anyone who could improve their recommendation algorithm by 10%. Over 2,000 teams competed for three years. The team that won did not use more data. They used fewer dimensions. They found a basis - a small set of independent vectors that captured everything important about 100,000,000 movie ratings. The lead mathematician on the winning team: $2,800,000 a year. A machine learning engineer at Spotify building the same kind of system: $245,000 a year. This is MIT 18.06, Lecture 9 - Gilbert Strang. Free on YouTube. Most people think independence is obvious. Two vectors pointing in different directions. Then the definition. Independence means no combination of your vectors gives the zero vector - except the trivial one where all the coefficients are zero. That's it. That's the whole definition. But watch what it unlocks. Watch the moment Strang puts three vectors in a two-dimensional plane. He doesn't even tell you which three vectors. He just draws them. And immediately says: dependent. No question. No calculation. Why? Because three vectors in two-dimensional space means more columns than rows. More unknowns than equations. That always forces a free variable. A free variable always gives a non-zero solution to Ax = 0. And that non-zero solution is a combination of the columns that produces zero. Dependence. "Three vectors in the plane have to be dependent. That's the key fact." Then the basis. A basis is vectors that are independent and span the space. Not too few, not too many. Just right. The pivot columns of any matrix form a basis for the column space. Every other basis you can think of will have exactly the same number of vectors. Then the dimension. All bases for the same space have the same number of vectors. That number is the dimension. The rank of a matrix is the dimension of its column space. The number of free variables is the dimension of the null space. And rank plus null space dimension equals the total number of columns. "I don't take the dimension of A. I take the dimension of the column space of A. If you use those words right, it shows you've got the idea right." A data scientist at Netflix building recommendation engines: $230,000 a year. A quantitative researcher at Two Sigma finding independent factors in financial markets: $350,000 a year. A computer vision engineer at Apple using low-dimensional representations for face recognition: $260,000 a year. They all needed to know how many dimensions were really there. bookmark this and watch later - after this lecture every dataset you look at will feel like a matrix waiting to be reduced to its basis.

Zyphor

14,720 görüntüleme • 14 gün önce

As someone who ships LLM systems in production, this hairy ball theorem video is the closest thing to a "why positional encoding in 3D robotics always breaks" explainer I've ever seen released for free. Everyone thinks orientation in 3D space is a solved problem. A theorem from 1912 proves there is always at least one direction where any continuous vector field hits zero — the exact reason every robotics LLM glitches at certain angles. 25 minutes. Bookmark & watch today. The math is older than the airplane.
29:29

As someone who ships LLM systems in production, this hairy ball theorem video is the closest thing to a "why positional encoding in 3D robotics always breaks" explainer I've ever seen released for free. Everyone thinks orientation in 3D space is a solved problem. A theorem from 1912 proves there is always at least one direction where any continuous vector field hits zero — the exact reason every robotics LLM glitches at certain angles. 25 minutes. Bookmark & watch today. The math is older than the airplane.

Eron

58,608 görüntüleme • 1 ay önce

Why String Theory Won't Die The string theory idea refuses to die because it's one of the few frameworks that forces a quantum object and spacetime geometry into the same picture. In the render, a closed string isn’t just a loop doing pretty vibrations. Its internal phase pattern is a quantum degree of freedom, shown as color. At the same time, its motion stirs ripples in the surrounding metric, shown as the fabric below. One object, two roles. A wave-like state living on the string, and a curvature-like response spreading through the background. You can literally watch quantum stuff and gravity stuff talk to each other in the same scene. #StringTheory #Physics #QuantumMechanics #GeneralRelativity #MathematicalPhysics #SciComm
1:00

Why String Theory Won't Die The string theory idea refuses to die because it's one of the few frameworks that forces a quantum object and spacetime geometry into the same picture. In the render, a closed string isn’t just a loop doing pretty vibrations. Its internal phase pattern is a quantum degree of freedom, shown as color. At the same time, its motion stirs ripples in the surrounding metric, shown as the fabric below. One object, two roles. A wave-like state living on the string, and a curvature-like response spreading through the background. You can literally watch quantum stuff and gravity stuff talk to each other in the same scene. #StringTheory #Physics #QuantumMechanics #GeneralRelativity #MathematicalPhysics #SciComm

Mathelirium

13,657 görüntüleme • 7 ay önce