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Gravity Makes Light Arrive Late Shapiro delay is the weird fact that gravity doesn’t only bend a light path, it also makes the signal arrive late, even after you subtract the usual distance/c travel time. On the our beautiful spacetime fabric stage, a transmitter sends clean pulses across the... show more

Mathelirium

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21,764 次观看 • 4 个月前 •via X (Twitter)

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??? *A Mysterious Reddish Light Pulses on the Moon** Within the crater Copernicus on the Moon, a faint, reddish light pulses, adding an enigmatic glow to the lunar surface.

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If you’re an engineer, physicist, or CS person and you’ve been telling yourself that Pure Mathematics is optional, and you’re anywhere between an ambitious undergrad and a beginning PhD, gravity is usually where that story ends. Not because mathematicians are trying to show off, but because the basic object in the theory is Spacetime, and Spacetime is already a pure mathematical structure. It’s a Manifold with Topology built in. Sure you can get pretty far by memorising formulas, but at some point you realise you’re no longer reading the theory, you’re just reciting it. In 2015, during the 100th anniversary of general relativity and the International Year of Light, the Scientific Organizing Committee released a central set of 24 lectures by Frederic P. Schuller. The series is titled: A thorough introduction to the theory of general relativity. It builds the subject carefully from first principles, step by step, across 24 self-contained lectures. #GeneralRelativity #Spacetime #MathematicalPhysics #DifferentialGeometry #PhysicsEducation #Relativity

If you’re an engineer, physicist, or CS person and you’ve been telling yourself that Pure Mathematics is optional, and you’re anywhere between an ambitious undergrad and a beginning PhD, gravity is usually where that story ends. Not because mathematicians are trying to show off, but because the basic object in the theory is Spacetime, and Spacetime is already a pure mathematical structure. It’s a Manifold with Topology built in. Sure you can get pretty far by memorising formulas, but at some point you realise you’re no longer reading the theory, you’re just reciting it. In 2015, during the 100th anniversary of general relativity and the International Year of Light, the Scientific Organizing Committee released a central set of 24 lectures by Frederic P. Schuller. The series is titled: A thorough introduction to the theory of general relativity. It builds the subject carefully from first principles, step by step, across 24 self-contained lectures. #GeneralRelativity #Spacetime #MathematicalPhysics #DifferentialGeometry #PhysicsEducation #Relativity

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We know gravity pulls things together in space...but have you ever seen what it does in phase space? In this scene we're not watching a blob of matter in x–space. We're watching a thin probability sheet in (x, v).... position–velocity space... being pulled by its own gravity. In the collisionless limit, Liouville’s theorem says this sheet can stretch, fold, and swirl, but never tear or change area. Collapse in x is "paid for" by stretching in v. Numerically, this is a 1D cold-dark-matter toy universe: a sheet of particles evolved under the Vlasov-Poisson system. We solve Poisson on a periodic line, get the self-consistent gravitational field, then integrate Hamilton’s equations so the sheet folds into a multi-layer spiral. The glowing filaments are where the sheet keeps revisiting, carving out dense caustics in phase space. It's gravity not as "stuff falling down," but as area-preserving origami in phase space. #Mathelirium #VlasovPoisson #PhaseSpace #Liouville #DarkMatter #HamiltonianFlow #ProbabilityFlow

We know gravity pulls things together in space...but have you ever seen what it does in phase space? In this scene we're not watching a blob of matter in x–space. We're watching a thin probability sheet in (x, v).... position–velocity space... being pulled by its own gravity. In the collisionless limit, Liouville’s theorem says this sheet can stretch, fold, and swirl, but never tear or change area. Collapse in x is "paid for" by stretching in v. Numerically, this is a 1D cold-dark-matter toy universe: a sheet of particles evolved under the Vlasov-Poisson system. We solve Poisson on a periodic line, get the self-consistent gravitational field, then integrate Hamilton’s equations so the sheet folds into a multi-layer spiral. The glowing filaments are where the sheet keeps revisiting, carving out dense caustics in phase space. It's gravity not as "stuff falling down," but as area-preserving origami in phase space. #Mathelirium #VlasovPoisson #PhaseSpace #Liouville #DarkMatter #HamiltonianFlow #ProbabilityFlow

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Did you know Bob Lazar blew the whistle on alien tech back in 1989? In his documentary, he details how UFOs achieve interstellar travel by distorting space time inside an anti-gravity field. Here's the mind-blowing breakdown, straight from his theories: 👽🛸 **The Core Propulsion System**: Lazar claims the crafts use "gravity amplifiers" – three devices at the base that focus and amplify gravitational waves. These aren't your typical engines; they create a localized anti-gravity field around the craft, allowing it to defy Earth's gravity effortlessly. **Distorting Space-Time**: Inside this field, the amplifiers bend space-time itself. Think Einstein's relativity on steroids: by projecting a strong gravitational wave ahead, the craft "pulls" space toward it, shortening vast interstellar distances. It's like folding a map so points A and B touch – no need for light-speed travel; you warp the fabric of reality instead. **Power Source: Element 115**: The key fuel is stable isotopes of Element 115 (now called Moscovium, synthesized in labs but unstable here). When protons bombard it in a reactor, it produces anti-matter, annihilating with matter to generate massive energy (100% efficient, no waste). More crucially, Element 115's superheavy nucleus emits gravity-A waves (a strong nuclear force extension), which the amplifiers harness to create the distortion field. **How It Works in Flight**: In "delta mode" (for interstellar jumps), the amplifiers tilt to focus the gravity wave forward, creating a "downhill" slope in space-time that the craft "falls" along at incredible speeds. In "omicron mode" (hover/low-speed), it balances against planetary gravity for silent, agile maneuvers – explaining those impossible UFO zigzags. Lazar says he reverse-engineered nine such discs at S-4 (near Area 51).

Did you know Bob Lazar blew the whistle on alien tech back in 1989? In his documentary, he details how UFOs achieve interstellar travel by distorting space time inside an anti-gravity field. Here's the mind-blowing breakdown, straight from his theories: 👽🛸 The Core Propulsion System: Lazar claims the crafts use "gravity amplifiers" – three devices at the base that focus and amplify gravitational waves. These aren't your typical engines; they create a localized anti-gravity field around the craft, allowing it to defy Earth's gravity effortlessly. Distorting Space-Time: Inside this field, the amplifiers bend space-time itself. Think Einstein's relativity on steroids: by projecting a strong gravitational wave ahead, the craft "pulls" space toward it, shortening vast interstellar distances. It's like folding a map so points A and B touch – no need for light-speed travel; you warp the fabric of reality instead. Power Source: Element 115: The key fuel is stable isotopes of Element 115 (now called Moscovium, synthesized in labs but unstable here). When protons bombard it in a reactor, it produces anti-matter, annihilating with matter to generate massive energy (100% efficient, no waste). More crucially, Element 115's superheavy nucleus emits gravity-A waves (a strong nuclear force extension), which the amplifiers harness to create the distortion field. How It Works in Flight: In "delta mode" (for interstellar jumps), the amplifiers tilt to focus the gravity wave forward, creating a "downhill" slope in space-time that the craft "falls" along at incredible speeds. In "omicron mode" (hover/low-speed), it balances against planetary gravity for silent, agile maneuvers – explaining those impossible UFO zigzags. Lazar says he reverse-engineered nine such discs at S-4 (near Area 51).

Interstellar

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