Одну секунду
Что-то сучилось. Попробуйте еще раз.
Hermann Minkowski смотреть последние обновления за сегодня на .
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: 🤍 Including multiple observers in the "most obvious" way led to some problems. Let's see how we can start to solve those problems by introducing (what we'll later call) Minkowski spacetime diagrams. Watch the next lesson: 🤍 Missed the previous lesson? 🤍 Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: 🤍 Subscribe to Khan Academy: 🤍
Talk given at the DPG meeting 2019 in Munich. The correct spelling is "Hermann". I apologize for the wrong slides. Follow also my backup channel: 🤍 My books: 🤍amazon.com/Alexander-Unzicker/e/B00DQCRYYY/
The Minkowski space is a mathematical concept that was developed by Hermann Minkowski in the early 20th century. WATCH MORE VIDEOS: How Are Space And Time Related? 🤍 Join this channel to get access to the perks: 🤍 SUBSCRIBE ► 🤍 Website ► 🤍 Instagram ► 🤍 Facebook ► 🤍 TikTok ► 🤍 Twitter ► 🤍 Produced, directed, and edited by: Ardit Bicaj Narrated by: Russell Archey 🤍 Graphics: David Butler Space Engine NASA/GSFC ESO/M.Kornmesser NASA's Goddard Space Flight Center/CI Lab Stock footage: envato.com Music: Crypt of Insomnia - Dystopian Ambient Piano envato.com Licenses used: 🤍 A big thank you to our lovely channel members: Damon Reid Joseph Pacchetti john roberts Robbie Kabali Joe Matz - Cosmoknowledge brings news from space. We love you, explorers!
To study subjects like this more in depth, go to: 🤍 you can sign up for free! And the first 200 people will get 20% off their annual membership. Enjoy! Background videos: Special Relativity: 🤍 General Relativity: 🤍 Maxwell & speed of light: 🤍 Why isn't c infinite?: 🤍 Outro artist of the week: Nicholas Antwi (BMI), "Mysterious Synth Drum Beat" 0:00 - Why time is a dimension 1:43 - Speed of light was a problem 3:54 - How Einstein resolved problem 4:54 - Minkowski geometry 6:59 - What're world lines 7:30 - What's a light cone 9:19 - How simultaneity is relativity 10:51 - How relativity affects light cones 13:09 - Future video topic 13:35 - Course at Brilliant for further study Summary: How to visualize Minkowski four dimensional spacetime and relativity using light cones and world lines. These are three spatial dimensions and one time dimension in the universe. With these 4 coordinates, you could rendezvous with anyone anywhere in the universe. In fact these 4 dimensions can describe any event in the universe. But how did the idea of time as a dimension come about? How can we best visualize these 4 dimensions? And what really happens when space and time start doing seemingly weird things when two objects move relative to each other? In the late 1800’s, scientists had recognized that there was an inconsistency between two theories – Newton’s laws of motion, and Maxwell’s equations describing electricity and magnetism. The problem was the speed of light. Maxwell had shown that light was a self-propagating electromagnetic wave. And his theory predicted its speed to be about 300,000 km/s. The question was what would the measured speed of light be if the person measuring it was moving. According to Newton, this moving observer should measure a different speed, than someone who was not moving. The measured speed should be the speed of the person, PLUS the speed of light. In 1887, Michelson and Morley devised a highly sensitive experiment to measure the speed of light in the direction of motion of the earth. They found that the speed of light does not vary at all, due to the motion of the earth. A resolution of this unexpected result came from Albert Einstein who proposed that Newton’s laws of motion needed to be modified. He determined that the speed of light does not change in any reference frame, and worked out the implications of this idea. Einstein showed that observers moving at different speeds will disagree about distance and time between two events. In other words, they will experience space and time differently. Hermann Minkowski realized that relativity is really a theory about the geometrical relationship between space and time, and coined the term "spacetime." He suggested an easier way to visualize these four dimensions - by eliminating one of the dimensions, and making the vertical axis time, but in terms of length. Something not moving spatially would be depicted as a vertical line. This is called called this a world line for the particle. A uniformly moving point would be depicted as a diagonal line on this graph because it would be moving in at least one of the spatial coordinates as it is moving forward in time. An accelerating particle would be a curved line. A light flash somewhere in this 2D space would spread in all directions with time. This forms the shape of a cone. So Minkowski called this a light cone. A light cone represents all the future events in spacetime that the light reaches from its initial event A. An upside down cone is the past light cone, and represents all the past events in spacetime that reach Event A. Event A can be you here and now. The points outside these two light cones are causally disconnected from event A, meaning they cannot reach or be reached by event A. How does special relativity enter affect world lines and light cones. Two observers moving relative to each other will not agree on simultaneity. Each will perceive the other's light cone as being tilted such that their observations being different can be explained. #minkowskispacetime #lightcones #worldlines What this shows is that simultaneity is relative to the observer. There is no absolute simultaneity in the universe. But each observer sees and experiences exactly the same spacetime. And both will agree on causality. Causality is always preserved in a universe with a finite speed of light. I will have more details on this issue of causality in a future video.
Includes discussion of the space-time invariant interval and how the axes for time and space transform in Special Relativity.
Hermann Minkowski was a German mathematician and professor at Königsberg, Zürich and Göttingen. In different sources Minkowski's nationality is variously given as German, Polish, or Lithuanian-German, or Russian. Useful products :- Tube Monetization and Automation Program : 🤍 Your advanced keyword tool : 🤍 Tube Mastery and Monetization : 🤍 Make Money Online Offer Million Dollar Replicator : 🤍 #hermannminkowski Copyright information: * We must say that I am not attempting to infringe on the copyright holder's rights in any manner, shape, or form. The content is solely for the purpose of research and review, as well as to educate. All of this is legal under the Fair Use Act.
Albert Einstein's father died thinking his son was a failure. Yes, it's true. Before Einstein became 'the' Einstein, he was a struggling young man in Europe. He skipped class, and his professors never took him seriously. Moreover, Einstein never performed spectacularly in school. He did so poorly that he nearly decided to drop out and just sell life insurance. Things got worse when he got into college. His carefree attitude towards conventional learning offended his professors. Hermann Minkowski, his mathematics professor, used to call Albert Einstein a lazy dog. Interestingly, Minkowski spent his later life developing a geometric representation of Einstein's special theory of relativity. Because of his poor reputation as a graduate student, Einstein failed to secure a job. Some of his friends went on to work in reputed labs and universities, but Einstein remained jobless. He also started tutoring school children, but his students could not score good grades because Einstein always went too far. He always believed in the application of knowledge rather than cramming of mathematical formulae and scientific concepts. This was something not practiced by the schools. To make matters worse, Einstein also suffered emotionally. He lost his father and, a few weeks later, his newborn daughter. This loss devastated the young and jobless Einstein. His failures destroyed his confidence, and he had nowhere to go. to support his family, Einstein reluctantly took the job of a third-class patent Clerk in Switzerland. He had never thought he would end up at a place like this. But, nature had some other plans for this genius. At the patent office, Einstein would quickly complete his work and spend the rest of his time thinking about some of the unsolved problems of physics. In 1905, Einstein published his first paper on the photoelectric effect. He had thought that this paper would bring him to the limelight. But, the scientific community completely ignored this paper that came from a patent clerk. Interestingly, 16 years later, Einstein was awarded the Nobel Prize for Physics to research the photoelectric effect. Einstein then turned his focus on the microscopic world. His second paper explained Brownian motion, which later led reluctant physicists to accept the existence of atoms. To his despair, no one was talking about it. Even his second paper failed to leave a mark in 1905. Although the young man was disappointed, he did not give up. Then came the third paper that changed the course of science. This brilliant paper introduced the special theory of relativity. It landed on the desk of the father of quantum physics, Max Planck. His assistant told him he had never seen something like this since Newton's work on classical physics. The special theory of relativity describes what happens when something travels close to the speed of light. This paper brought him fame and recognization among scientists. But he didn't stop. In 1905, he published his fourth paper introducing the flagship equation of Physics: E = mc^2 Einstein's special theory of relativity later found applications in particle physics. The construction and working of accelerators such as the large hadron collider in Geneva, would not have been possible without this equation. However, Einstein realized that this theory was incomplete. It did not incorporate the two most important parameters of the universe: gravity and acceleration. Einstein spent the next 10 years of his life developing the general theory of relativity, which became one of the two pillars of physics, the other being quantum mechanics. The most important thing that we can learn from Einstein is that no matter what, we should never give up. Despite all those difficulties and rejections, Einstein never stopped doing what he loved. Had he given up at any of those failures, he would not have become the most celebrated scientist in history.
If you find our videos helpful you can support us by buying something from amazon. 🤍 Hermann Minkowski Hermann Minkowski (22 June 1864 – 12 January 1909) was a germanised descendant of Polish-Jews, mathematician, professor at Königsberg, Zürich and Göttingen.He created and developed the geometry of numbers and used geometrical methods to solve problems in number theory, mathematical physics, and the theory of relativity. =Image-Copyright-Info= Image is in public domain Author-Info: Hermann Minkowski Image Source: 🤍 =Image-Copyright-Info -Video is targeted to blind users Attribution: Article text available under CC-BY-SA image source in video 🤍
Minkowski Spacetime is when we combine the 3 dimensions of space and 1 dimension of time to construct a 4 dimensional space-time which preserves the spacetime interval under a lorentz transformations. In this video I talk about the following - spacetime interval, lorentz transformation, speed of light, 2d space time, eucleidan space, difference between eucleidan space and minkowski spacetime, puthagoras theorem v/s hyperbolic pythagorean theorem, equidistant intervals in eucleidan space is circle while that in spacetime is a hyperbola, hyperboloid surface, light cones, null vectors, spacelike timelike and lightlike intervals, lorentz tranformations and how such transformations can be visualised in minkowski spacetime.e lorentz transformations as hyperbolic rotations in minkowski spacetime 00:00 Introduction 06:24 Minkowski Spacetime 33:22 Lorentz Transformations Join my Telegram Channel ► 🤍 #SpecialTheoryofRelativity #STR 𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬 Your financial support provides me an additional incentive to create high quality lecture videos. I am very much thankful for your generosity and kindness Support in Patreon ❤️❤️❤️🤍 Donate in Paypal 🔥🔥🔥 🤍 JOIN as a member in Youtube 😇😇😇 🤍 𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬 PLAYLIST ON Special Theory of Relativity 🤍 - 1. History of Special Relativity ► 🤍 2. Michelson Morley Experiment ► 🤍 3. Special Theory of Relativity ► 🤍 4. Time Dilation (Thought Exp) ► 🤍 5. Length Contraction (Thought Exp) ► 🤍 6. Lorentz Transormations ► 🤍 7. Relativity of Simultaneity ► 🤍 8. Can you prove E=MC² ► 🤍 - 9. Special Theory of Relativity ► 🤍 10. Length Contraction ► 🤍 11. Length Contraction of Inclined Rod ► 🤍 12. Time Dilation ► 🤍 13. Muon Decay Experiment ► 🤍 14. Relativistic Velocity Transformations ► 🤍 15. Speed of light in moving medium ► 🤍 16. Relativistic Doppler Effect ► 🤍 17. Relativistic Mass? ► 🤍 18. Relativistic Kinetic Energy ► 🤍 19. Relativistic Force ► 🤍 20. Relativistic Energy & Momentum ► 🤍 21. Magnetism arises from Relativity ► 🤍 22. GATE Physics question ► 🤍 23. TIFR Physics question ► 🤍 24. Question on Volume contraction ► 🤍 25. JEST Physics question ► 🤍 26. NET Physics question ► 🤍 27. Spacetime Invariant Interval ► 🤍 28. Minkowski Spacetime ► 🤍 29. Eucledian Space & Minkowski Spacetime ► 🤍 30. Spacetime Diagrams ► 🤍 31. Four Vectors in Relativity ► 🤍 32. Doppler Effect using 4-vectors ► 🤍 33. Compton Effect using 4-vectors ► 🤍 34. Particle Decay using 4-vectors ► 🤍 35. (SHORTS) Does Light experience time ► 🤍 36. (SHORTS) Light for moving observer ► 🤍 37. (SHORTS) Nothing can travel faster than light ► 🤍 38. (SHORTS) What is farther away ► 🤍
▶ Topics ◀ Euclidean/Minkowski Metric, Spacelike, Timelike, Lightlike ▶ Social Media ◀ [Instagram] 🤍prettymuchvideo ▶ Music ◀ TheFatRat - Fly Away feat. Anjulie 🤍 If you want to help us get rid of ads on YouTube, you can support us on Patreon! 🤍
Peter Kroll erläutert in der Vorlesung "Einblicke in die Relativitätstheorie" (Studium Generale TU Ilmenau) das graphische Konzept der Weltlinien und Minkowski-Diagramme. Urknall, Weltall und das Leben (🤍urknall-weltall-leben.de) Wissenschaftler erklären Wissenschaft Buch zum Kanal ► 🤍 Live-Vorträge ► 🤍 Unser Team ► 🤍 Newsletter ► 🤍 Instagram ► 🤍 Spende ► 🤍 Vielen Dank an alle, die unser Projekt unterstützen!
En 1881, l'Académie des Sciences de Paris mit au concours un Grand Prix pour le meilleur mémoire sur la "Décomposition des nombres entiers en une somme de cinq carrés". Eva Bayer-Fluckiger raconte comment Hermann Minkowski, âgé de seulement 18 ans remporte ce prix. BnF - 10 mai 2006 Conférence donnée dans le cadre du cycle "Un texte, un mathématicien", organisée par la Société Mathématique de France (SMF), la Bibliothèque nationale de France (BnF), et Animath Réalisation : BnF, Paris
There is no logical reason why two fundamentally different properties like space and time should be linked together in a peculiar 3 plus 1 dimensional form. This theory explains this by simple geometry based on a process of spherical symmetry forming and breaking. An interior of a sphere is naturally 3 dimensional, with the spherical surface forming an extra dimension that we comprehend and measure as time. The two-dimensional surface of the sphere also forms a boundary condition or manifold for positive and negative charge. Because the process is relative to the spherical surface, we have to square radius r² this can be seen in the equations of physics with the speed of light squared c² the electron squared e² and the wave function squared ψ². This can be based on Huygens’ Principle of 1670 that says, “Every point on a wave front has the potential for a new spherical wave”. Hermann Minkowski was the first person to add an extra dimension to our everyday three dimensions to try to explain the fundamental nature of our Universe. Later on in the form of string theory, many more extra dimensions were added. But he cannot be blamed for this, because the extra dimension that he added represents the concept of time in our everyday life. He was a great mathematician and was the first to link space and time together as in space-time. Reference: 🤍
En este vídeo veremos qué es el espacio de Minkowski.
Please like and subscribe if you like our content, peace and thanks from old man and old son.
Text - 🤍 Credits 🤍 website - 🤍 Wiki page 🤍 In this segment of the “How Fast Is It” video book we cover the Special Theory of Relativity. We start with the Lorentz Transformations developed after the Michelson-Morley experiment showed that the speed of light was the same for all inertial observers. We then use light clocks to illustrate some of the most striking implications of these new transformations - starting with time dilation and space contraction. As we work through the special relativity effects, we review the physical evidence such as GPS satellites for time dilation and cosmic ray muons for space contraction. We then cover how we add velocities in such a way as to always come up with a number less than or equal to the speed of light. We then use the Large Hadron Collider at CERN to illustrate mass-energy momentum increasing without bound as speeds approach the speed of light. The last special relativity effect that we cover is the moving of simultaneity to the realm of the relative. With this done, we cover Albert Einstein’s motivation for his two Special Theory of Relativity postulates. One was driven by Maxwell’s equations and the other was driven by the inability to detect the Aether. We then cover the geometry of space-time called Minkowski Space. We close with a description of the famous Twin Paradox. For that we use a 50-year trip to Vega and back.
Notes are on my GitHub! github.com/rorg314/WHYBmaths This video introduces the Minkowski metric, which closely resembles the Euclidean metric, albeit with a negative sign on the g^00 (time) component. We note the convention in use is (- + + +), and comment on the (+ - - - ) convention, noting that the significance is only in the relative difference in sign between the time and spacelike matrix components. I briefly begin to comment on the fact that such a Minkowski metric is no longer positive definite, since the negative sign allows the value of dS^2 to be zero and even negative. In future videos we will explore in much greater depth the dramatic consequences that such a minus sign incurs. If you like my videos and want to consider supporting the channel I am now accepting donations in DOGE and BTC (other cryptos on request) See my channel description for the addresses!
Sign up for Brilliant FOR FREE at 🤍 - the first 200 people get 20% of a premium subscription. This video is about how Russian physicist Aleksandr Fridman corrected Albert Einstein about the expansion of the universe. Einstein thought that general relativity implied that space had to be static and unchanging, but he had made a technical error regarding the differentiation of the metric (in particular, I believe he mistook the determinant of the metric for a scalar rather than a tensor density of weight 2). Friedmann didn't make this differential geometric mistake, and the cosmologies he found from the Einstein Equations were more varied in their properties - they could be expanding, or contracting, or (with the cosmological constant), static. Support MinutePhysics on Patreon! 🤍 Link to Patreon Supporters: 🤍 REFERENCES Alexander Friedmann 🤍 Einstein Wrongly Criticizes Alexander Friedmann 🤍 Alexander Friedmann Corrects Einstein 🤍 Einstein Admits his Mathematical Mistake 🤍 Interrogating the Legend of Einstein’s “Biggest Blunder” 🤍 Cosmological Considerations in the General Theory of Relativity 🤍 On the General Theory of Relativity (Einstein) 🤍 The Field Equations of Gravitation 🤍 The Einstein Field Equations 🤍 Presentation about the Sequence of Events 🤍 Tensor Densities: 🤍 MinutePhysics is on twitter - 🤍minutephysics And facebook - 🤍 And Google+ (does anyone use this any more?) - 🤍 Minute Physics provides an energetic and entertaining view of old and new problems in physics all in a minute! Created by Henry Reich
We live in a different universe that our everyday experience might lead us to believe. Here's a general introduction to Minkowski Space, sans maths. Highlighting some of the weird things about space-time. What do you think? Further reading? Try this: The Fabric of the Cosmos: Space, Time and the Texture of Reality by Brian Greene Music from Incompetech Images from wiki commons
The speed of light is a constant is one of the most important facts about space and time in special relativity. That fact gets expressed geometrically in spacetime geometry through the existence of light cones, or, as it is sometimes said, the "light cone structure" of spacetime.To see that structure, we imagine an event at which there is an explosion. Light will propagate out from it in an expanding spherical shell. In a two dimensional space, it will look like an expanding circle.To have a light cone, we do not need light to be present. The cones map out the trajectories light would take if light were to be present. Since it is just the possibilities that are mapped out, not necessarily the trajectories of actual light. Spacetime still has a light cone structure in the dark! Spacetime- When we add the extra dimension of time to a space, we produce a spacetime. Minkowski spacetime -There is nothing special about a spacetime. They can arise in classical physics. So if we mean a spacetime that also behaves the way special relativity demands, then we have a Minkowski spacetime. Event- These are the individual points of a spacetime. They represent points in space at a particular time. Timelike Worldline -This is the trajectory of a point moving less than the speed of light. These curves are contained within the light cone. They represent the trajectories of ordinary particles, like electron, protons and neutrons, but not photons. Lightlike curve -This is the trajectory of a point moving at the speed of lighta light signal or a photon. They lie on the surface of the light cone. Spacelike curve - This is a curve that lies outside the light cone. If an object is to make this curve its trajectory, it would need to travel faster than light. Spacelike hypersurfaces - These are the instantaneous spatial snapshots of spacetime. They are three dimensional in the case of a four dimensional spacetime. Past and future light cones - All the lightlike curves through an event form the light cone at that event. The part of the cone to the future of that event is the future light cone. The part to the past is the past light cone. Light cone structure - Since the speed of light is generally taken to be the fastest that causes can propagate their effects, once we know how the light cones are distributed in space we can say a great deal about what is possible and impossible causally in the spacetime. So this distribution is of great interest to us. It is called the light cone structure of the space. Timelike geodesic - These are curves that are the possible trajectories in spacetime of inertially moving points. They are straight lines that lie within the lightcone. So guys watch this entire video till the end and do not forget to share your valuable feedbacks. Do not forget to Like, Share and Subscribe our channel Thanks for watching.. Social accounts link Instagram- 🤍 Facebook Page- 🤍 FAIR-USE COPYRIGHT DISCLAIMER This video is meant for Educational/Inspirational purpose only. We do not own any copyrights, all the rights go to their respective owners. The sole purpose of this video is to inspire, empower and educate the viewers. #MinkowskiSpace #lightcone
Ein Satz, der Geometrie mit Zahlentheorie verbindet. Das GANZ NEUE Buch: 🤍 Das NEUE Buch: 🤍 KORREKTUR: 🤍 Mehr zum Jordan-Maß: 🤍 Die 3D-Grafiken wurden mit three.js generiert: 🤍 Das etwas andere Mathe-Lehrbuch: 🤍 Illustrationen von Heike Stephan: 🤍 Allgemeine Anmerkungen: 🤍
Brève explication de l'espace-temps de Hermann Minkowski, qui a servi de toile de fond pour permettre au grand Albert de développer sa théorie de la relativité générale.
Minkowski space, also known as Minkowski spacetime, is a mathematical framework developed by the mathematician Hermann Minkowski in 1907. It provides a way to describe the geometry of spacetime in special relativity, combining three dimensions of space and one dimension of time into a four-dimensional continuum. Playlists You May Be Interested In SCIENCE 🤍 HEALTH & MEDICINE 🤍 #science #technology
Utilizando las trasnformaciones de Lorentz halladas en capítulos anteriores identificamos que no sólo la velocidad de la luz es un invariante relativista. Paralelamente definimos el espacio de Minkowski, el cual se distingue del espacio euclideo por su métrica, con una de las entradas con signo opuesto. Vemos, entonces, que la "norma" inducida por dicha métrica coincide con el invariante antes hallado y nos motiva a concluir que la relatividad especia tiene como campo de juego un espacio de Minkowski con la componente temporal asociada a la entrada de signo contrario en la métrica. Definimos así tres distintos tipos de intervalos espacio-temporales para definir la estructura causal del espacio de Minkowski. #relatividadespecial #relatividaddeEinstein #fisicauniversitaria
Notes are on my GitHub! github.com/rorg314/WHYBmaths In this video we will begin exploring R^2 with the Minkowski geometry, specified by the Minkowski metric / line element, ds^2 = -c^2 dt^2 + dx^2. To probe the geometry defined by such a line element we will study the points on which the distance (finite) from the origin, defined by s^2 = -c^2 t^2 + x^2 is constant, as we did previously for the Euclidean geometry. However, as we will see there are three distinct cases that will emerge due to the possible signs of ds^2, where in this video we discuss the case ds = 0, which defines the `lightcone', the set of points that have zero spacetime separation from the origin (any two arbitrary points on the light cone have zero spacetime separation since delta s = 0 always). This is interpreted physically by realising that the lightcone (here realised by setting s^2 = 0 giving x = ct, i.e v = dx/dt = c) and hence the lightcone corresponds to the worldline of an observer that is seen to be travelling with coordinate velocity v = c in this frame (which we will eventually see corresponds to something that travels at the speed of light) If you like my videos and want to consider supporting the channel I am now accepting donations in DOGE and BTC (other cryptos on request) See my channel description for the addresses!
This is an audio version of the Wikipedia Article: 🤍 00:00:41 1 Personal life and family 00:02:58 2 Education and career 00:04:27 3 Work on relativity 00:06:33 4 Publications 00:09:06 5 See also 00:09:16 6 Notes 00:09:24 7 External links Listening is a more natural way of learning, when compared to reading. Written language only began at around 3200 BC, but spoken language has existed long ago. Learning by listening is a great way to: - increases imagination and understanding - improves your listening skills - improves your own spoken accent - learn while on the move - reduce eye strain Now learn the vast amount of general knowledge available on Wikipedia through audio (audio article). You could even learn subconsciously by playing the audio while you are sleeping! If you are planning to listen a lot, you could try using a bone conduction headphone, or a standard speaker instead of an earphone. Listen on Google Assistant through Extra Audio: 🤍 Other Wikipedia audio articles at: 🤍 Upload your own Wikipedia articles through: 🤍 "There is only one good, knowledge, and one evil, ignorance." - Socrates SUMMARY = Hermann Minkowski (; German: [mɪŋˈkɔfski]; 22 June 1864 – 12 January 1909) was a German mathematician and professor at Königsberg, Zürich and Göttingen. He created and developed the geometry of numbers and used geometrical methods to solve problems in number theory, mathematical physics, and the theory of relativity. Minkowski is perhaps best known for his work in relativity, in which he showed in 1907 that his former student Albert Einstein's special theory of relativity (1905) could be understood geometrically as a theory of four-dimensional space–time, since known as the "Minkowski spacetime".
In mathematical physics, Minkowski space is a combination of three-dimensional Euclidean space and time into a four-dimensional manifold where the spacetime interval between any two events is independent of the inertial frame of reference in which they are recorded. Although initially developed by mathematician Hermann Minkowski for Maxwell's equations of electromagnetism, the mathematical structure of Minkowski spacetime was n to be implied by the postulates of special relativity.
¡Gracias a los nuevos Suscriptores! Si aun no formas parte de esta aventura de aprendizaje sobre las maravillas del universo, ¡SUSCRIBETE AHORA! Síguenos en: 🔵Facebook: 🤍
We're looking at Minkowski's Geometry of Numbers Theorem and applying it to prove the so-called Fermat's Christmas Theorem. #SoME2 Timetable: 0:00 - Introduction 1:55 - Symmetric Convex Bodies 3:28 - Proving the Main Theorem 7:00 - Other Lattices 7:44 - Fermat's Christmas Theorem 10:35 - Other Questions 🤍
DRAFT pentru emisiunea "Stiinta in cuvinte potrivite" de la Radio Romania Cultural - realizator Mihaela Straton Pentru alte subiecte accesati: 🤍 🤍 Conf.univ.dr. Catalin Angelo Ioan Universitatea Danubius Galati Pentru alte subiecte accesati: 🤍 🤍 🤍 Nota: In situatia in care doriti vizualizarea cu ajutorul unui videoproiector procedati astfel: a) descarcati clipul; b) folositi pentru redare un software ce negativeaza culorile (de exemplu: VLC media player); c) dupa deschiderea clipului (in VLC), selectati: Unelte-Efecte si filtre-Efecte video-Culori si bifati: Negativeaza culorile. In acest moment, ecranul va apare in video invers deci se va putea vedea si in conditii de lumina ambientala. Conf.univ.dr. Catalin Angelo Ioan Universitatea Danubius Galati
.svg){kind=small}
