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Spacetime That Remembers A localized shear-front propagates across a deformable spacetime fabric. While the front passes, the fabric undergoes transient slip and shear. After it passes, a saturating memory field permanently modifies the weave, producing a non-reversible displacement. Particle constellations attached to the fabric settle into persistently shifted positions,... show more

Mathelirium

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58,446 views • 5 months ago •via X (Twitter)

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A shear-front crosses the frabric and Spacetime remembers. If you want the Python script to play with...subscribe and I will share.

A shear-front crosses the frabric and Spacetime remembers. If you want the Python script to play with...subscribe and I will share.

Mathelirium

17,146 views • 4 months ago

What Happens When a Black Hole Does More Than Fall? In General Relativity, a rotating Black Hole is described by the Kerr Metric. Its spin does something strange to spacetime... it drags the geometry around with it. The horizon sits at r₊ = M + √(M² - a²) but outside it there is another surface, the Ergosphere, r_E(θ) = M + √(M² - a²cos²θ) Inside that region, Spacetime is being swept around so strongly that remaining still is no longer possible. Every particle, every light thread, every local observer is forced to rotate with the geometry. For this scene, the C-metric acceleration remains alive in the background and the Black Hole still moves through the fabric, pulled along an axial defect. But the main event is Kerr frame dragging. The fabric twists. The Ergosphere breathes. Light paths shear into spirals. Particles that try to cross the region get carried around before falling inward. #GeneralRelativity #BlackHole #KerrMetric #FrameDragging #Ergosphere #Spacetime #EinsteinEquations #Astrophysics #Physics

What Happens When a Black Hole Does More Than Fall? In General Relativity, a rotating Black Hole is described by the Kerr Metric. Its spin does something strange to spacetime... it drags the geometry around with it. The horizon sits at r₊ = M + √(M² - a²) but outside it there is another surface, the Ergosphere, r_E(θ) = M + √(M² - a²cos²θ) Inside that region, Spacetime is being swept around so strongly that remaining still is no longer possible. Every particle, every light thread, every local observer is forced to rotate with the geometry. For this scene, the C-metric acceleration remains alive in the background and the Black Hole still moves through the fabric, pulled along an axial defect. But the main event is Kerr frame dragging. The fabric twists. The Ergosphere breathes. Light paths shear into spirals. Particles that try to cross the region get carried around before falling inward. #GeneralRelativity #BlackHole #KerrMetric #FrameDragging #Ergosphere #Spacetime #EinsteinEquations #Astrophysics #Physics

Mathelirium

26,484 views • 10 days ago

When Light Becomes Heavy Enough to Trap Itself Can light collapse into a black hole? In General Relativity, light is not weightless in the geometric sense. It has energy, it carries momentum, and energy curves Spacetime. A Vaidya-type collapse describes a mass that grows because radiation is falling inward. The mathematics is the same brutal idea behind Einstein’s equation Gᵤᵥ = 8πTᵤᵥ If the stress-energy Tᵤᵥ is made from radiation, then light itself becomes a source of curvature. As more radiation falls inward, the mass aspect grows, the Spacetime fabric tightens, and a clean black horizon appears where escaping paths begin to fail. #GeneralRelativity #EinsteinEquations #BlackHole #Spacetime #Astrophysics #TheoreticalPhysics #Light #Mathematics #Science

When Light Becomes Heavy Enough to Trap Itself Can light collapse into a black hole? In General Relativity, light is not weightless in the geometric sense. It has energy, it carries momentum, and energy curves Spacetime. A Vaidya-type collapse describes a mass that grows because radiation is falling inward. The mathematics is the same brutal idea behind Einstein’s equation Gᵤᵥ = 8πTᵤᵥ If the stress-energy Tᵤᵥ is made from radiation, then light itself becomes a source of curvature. As more radiation falls inward, the mass aspect grows, the Spacetime fabric tightens, and a clean black horizon appears where escaping paths begin to fail. #GeneralRelativity #EinsteinEquations #BlackHole #Spacetime #Astrophysics #TheoreticalPhysics #Light #Mathematics #Science

Mathelirium

27,635 views • 18 days ago

A coherent state wave packet oscillates in a 1D harmonic trap. - |ψ|² determines helix radius. - Phase determines helix twist. - The fabric deforms under the packet's pressure and current.

A coherent state wave packet oscillates in a 1D harmonic trap. - |ψ|² determines helix radius. - Phase determines helix twist. - The fabric deforms under the packet's pressure and current.

Mathelirium

12,349 views • 1 month ago

With social fabric tearing on every front, Russians continue their collective descent into madness while queing for petrol. Never with a thought of merely remedying the situation by removing their army from Ukraine, they sacrifice their economy, society and eventually country to maintain the war.

With social fabric tearing on every front, Russians continue their collective descent into madness while queing for petrol. Never with a thought of merely remedying the situation by removing their army from Ukraine, they sacrifice their economy, society and eventually country to maintain the war.

Jay in Kyiv

100,134 views • 20 days ago

Can Spacetime Move Faster Than Light? In 1994, Miguel Alcubierre proposed a strange solution to Einstein’s field equations: A Spacetime geometry where a compact region could be transported without the object inside locally breaking the speed of light. The idea is not that a ship accelerates through space faster than light. The local interior remains comparatively calm. The violent part is the surrounding geometry. Space contracts in front of the bubble, expands behind it, and forms a moving transport shell that carries the interior region forward. A simplified form of the Alcubierre metric is ds² = −dt² + [dx − vₛ f(rₛ)dt]² + dy² + dz² where f(rₛ) shapes the warp bubble and vₛ describes the motion of its centre. The physics is still highly speculative, especially because the original construction requires exotic stress-energy, but the mathematical idea is powerful. #GeneralRelativity #AlcubierreDrive #WarpDrive #Spacetime #EinsteinEquations #Relativity #Physics #Astrophysics #Cosmology

Can Spacetime Move Faster Than Light? In 1994, Miguel Alcubierre proposed a strange solution to Einstein’s field equations: A Spacetime geometry where a compact region could be transported without the object inside locally breaking the speed of light. The idea is not that a ship accelerates through space faster than light. The local interior remains comparatively calm. The violent part is the surrounding geometry. Space contracts in front of the bubble, expands behind it, and forms a moving transport shell that carries the interior region forward. A simplified form of the Alcubierre metric is ds² = −dt² + [dx − vₛ f(rₛ)dt]² + dy² + dz² where f(rₛ) shapes the warp bubble and vₛ describes the motion of its centre. The physics is still highly speculative, especially because the original construction requires exotic stress-energy, but the mathematical idea is powerful. #GeneralRelativity #AlcubierreDrive #WarpDrive #Spacetime #EinsteinEquations #Relativity #Physics #Astrophysics #Cosmology

Mathelirium

37,986 views • 21 days ago

The Non-Traversable Bridge Einstein Found Inside Gravity Einstein’s equations not only describe gravity as a force but as the shape of Spacetime as well. In 1935, Einstein and Rosen found that the Schwarzschild solution could be written in a way that reveals something astonishing: Two separate exterior regions of Spacetime joined by a bridge-like throat Rᵤᵥ = 0 This became known as the Einstein-Rosen Bridge. It is often called a Wormhole, but the classical Einstein-Rosen bridge is not a science-fiction tunnel. In the standard Schwarzschild geometry, it is non-traversable. The throat does not remain open long enough for ordinary travel from one region to the other. Its real power is mathematical. It shows that General Relativity is not merely about objects moving through space. The theory allows Spacetime to have global structure such as different regions, horizons, extensions, and hidden connections that are not visible from one local patch alone. The Einstein-Rosen bridge is one of the earliest glimpses of that deeper idea. Gravity is geometry. And sometimes, geometry has two worlds joined by a throat. #Astrophysics #GeneralRelativity #Einstein #BlackHole #Spacetime #Cosmology #Gravity #Wormhole #Mathematics #Physics

The Non-Traversable Bridge Einstein Found Inside Gravity Einstein’s equations not only describe gravity as a force but as the shape of Spacetime as well. In 1935, Einstein and Rosen found that the Schwarzschild solution could be written in a way that reveals something astonishing: Two separate exterior regions of Spacetime joined by a bridge-like throat Rᵤᵥ = 0 This became known as the Einstein-Rosen Bridge. It is often called a Wormhole, but the classical Einstein-Rosen bridge is not a science-fiction tunnel. In the standard Schwarzschild geometry, it is non-traversable. The throat does not remain open long enough for ordinary travel from one region to the other. Its real power is mathematical. It shows that General Relativity is not merely about objects moving through space. The theory allows Spacetime to have global structure such as different regions, horizons, extensions, and hidden connections that are not visible from one local patch alone. The Einstein-Rosen bridge is one of the earliest glimpses of that deeper idea. Gravity is geometry. And sometimes, geometry has two worlds joined by a throat. #Astrophysics #GeneralRelativity #Einstein #BlackHole #Spacetime #Cosmology #Gravity #Wormhole #Mathematics #Physics

Mathelirium

91,291 views • 25 days ago

What String Theory Does That Classical Physics Doesn’t Classical Physics begins with a point particle. Its position is described by one function of time x = x(t) As time passes, that point traces a curve through Spacetime called a worldline. String theory changes the starting object. A string has length, so time alone is not enough. We also need a coordinate along the string Xᵘ = Xᵘ(τ, σ) Here τ is worldsheet time, and σ labels position along the string. As the string moves, it sweeps out a surface called a worldsheet. The action measures the area of that surface S = -T ∫ dτ dσ √[-det hₐᵦ] This is where string theory begins. #StringTheory #ClassicalMechanics #TheoreticalPhysics #Worldsheet #QuantumGravity #MathematicalPhysics #Spacetime #PhysicsVisualization #ScienceEducation

What String Theory Does That Classical Physics Doesn’t Classical Physics begins with a point particle. Its position is described by one function of time x = x(t) As time passes, that point traces a curve through Spacetime called a worldline. String theory changes the starting object. A string has length, so time alone is not enough. We also need a coordinate along the string Xᵘ = Xᵘ(τ, σ) Here τ is worldsheet time, and σ labels position along the string. As the string moves, it sweeps out a surface called a worldsheet. The action measures the area of that surface S = -T ∫ dτ dσ √[-det hₐᵦ] This is where string theory begins. #StringTheory #ClassicalMechanics #TheoreticalPhysics #Worldsheet #QuantumGravity #MathematicalPhysics #Spacetime #PhysicsVisualization #ScienceEducation

Mathelirium

18,446 views • 19 days ago

🇫🇷 NOW: Paris, France Leftists minions unfurl a French flag that reads: “France is a fabric of migrations,” as they stand by the statue of the Republic. They light flares to celebrate the victory of the New Popular Front (NFP) in Paris. RIP France. 😞

🇫🇷 NOW: Paris, France Leftists minions unfurl a French flag that reads: “France is a fabric of migrations,” as they stand by the statue of the Republic. They light flares to celebrate the victory of the New Popular Front (NFP) in Paris. RIP France. 😞

Info Battle Maiden

664,956 views • 2 years ago

San Yixu (三异绣) is a unique form of Su embroidery that shows different images on each side of the same fabric, without visible knots. Every stitch is precisely balanced, creating flawless, double-sided designs that blur the line between front and back.

San Yixu (三异绣) is a unique form of Su embroidery that shows different images on each side of the same fabric, without visible knots. Every stitch is precisely balanced, creating flawless, double-sided designs that blur the line between front and back.

Massimo

18,297 views • 5 months ago

Stealth Is Echo Control Stealth does not mean the aircraft stops scattering radar. It means the shape tries to keep the strongest echo from going back to the radar that sent it. Of course theres the issue of absorbing material as well. Here a pulsed radar wave hits the B-2 Spirit nose-on. The sharp front cuts into the wavefront, sending little energy straight back while much of the field is guided along the aircraft’s body. By the time the wave leaves the tail, the front is still largely intact, almost as if the aircraft has redirected the pulse around itself instead of throwing it back.

Stealth Is Echo Control Stealth does not mean the aircraft stops scattering radar. It means the shape tries to keep the strongest echo from going back to the radar that sent it. Of course theres the issue of absorbing material as well. Here a pulsed radar wave hits the B-2 Spirit nose-on. The sharp front cuts into the wavefront, sending little energy straight back while much of the field is guided along the aircraft’s body. By the time the wave leaves the tail, the front is still largely intact, almost as if the aircraft has redirected the pulse around itself instead of throwing it back.

Mathelirium

16,685 views • 2 months ago

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.

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

54,730 views • 3 months ago

A Black Hole Can Be Dragged Through Spacetime A Black Hole does not have to sit still. Einstein’s equations allow a stranger possibility... a Black Hole that accelerates. This is the C-metric, an exact solution of General Relativity describing an accelerating Black Hole. The Black Hole accelerates because the geometry of Spacetime says it must. The C-metric is one of those exact solutions that reminds us how wild General Relativity really is. Gravity is not just attraction, and Spacetime is not just a stage. Sometimes the stage itself contains the force. #Astrophysics #GeneralRelativity #Einstein #CMetric #BlackHole #CosmicStrings #Spacetime #Cosmology #Mathematics #Physics

A Black Hole Can Be Dragged Through Spacetime A Black Hole does not have to sit still. Einstein’s equations allow a stranger possibility... a Black Hole that accelerates. This is the C-metric, an exact solution of General Relativity describing an accelerating Black Hole. The Black Hole accelerates because the geometry of Spacetime says it must. The C-metric is one of those exact solutions that reminds us how wild General Relativity really is. Gravity is not just attraction, and Spacetime is not just a stage. Sometimes the stage itself contains the force. #Astrophysics #GeneralRelativity #Einstein #CMetric #BlackHole #CosmicStrings #Spacetime #Cosmology #Mathematics #Physics

Mathelirium

788,559 views • 27 days ago

JUST IN: The FBI releases over 800 pages of Patriot Front files. The FBI vault files are HEAVILY REDACTED. Here is the upshot: The FBI lets radical organizations like the SPLC and ADL define the Patriot Front. This leads inevitably to flawed analysis and suspect conclusions about the anti-American group. The Patriot Front is fascist and anti-capitalist. It seeks to create a European, white nationalist ethno-state. It is thus not "patriotic" in the traditional American conservative sense. There is a lack of clarity on how many field agents and confidential informants have penetrated the Patriot Front.

JUST IN: The FBI releases over 800 pages of Patriot Front files. The FBI vault files are HEAVILY REDACTED. Here is the upshot: The FBI lets radical organizations like the SPLC and ADL define the Patriot Front. This leads inevitably to flawed analysis and suspect conclusions about the anti-American group. The Patriot Front is fascist and anti-capitalist. It seeks to create a European, white nationalist ethno-state. It is thus not "patriotic" in the traditional American conservative sense. There is a lack of clarity on how many field agents and confidential informants have penetrated the Patriot Front.

Kyle Becker

27,948 views • 1 year ago

Farmers in the Philippines are turning banana plants into a fabric that can replace plastic! The fabric is called Bananatex, and it's made from abacá, a type of banana plant that grows incredibly fast in the Philippine highlands. The fabric can be treated with sustainable water-repellent finishes, making it strong enough for backpacks and outdoor gear. Bananatex is now helping companies 'replace plastics with plants' in their products, and it provides income for farmers in the Philippines while helping restore forests too. (1 min, 3 sec) Join @davidavocadowolfe 🥑

Farmers in the Philippines are turning banana plants into a fabric that can replace plastic! The fabric is called Bananatex, and it's made from abacá, a type of banana plant that grows incredibly fast in the Philippine highlands. The fabric can be treated with sustainable water-repellent finishes, making it strong enough for backpacks and outdoor gear. Bananatex is now helping companies 'replace plastics with plants' in their products, and it provides income for farmers in the Philippines while helping restore forests too. (1 min, 3 sec) Join @davidavocadowolfe 🥑

Paul White Gold Eagle

74,693 views • 3 months ago

A southwest airlines gate agent a refused to scan the boarding passes for a mother’s two non-verbal autistic children, even after she explained that they did not understand how to do it themselves. The situation escalated and reportedly caused the mother to have a mental breakdown in front of other passengers. According to La'Quisha Logan the mother and witnesses, gate agent Charles at Gate B-9 on Flight 1948 refused to scan boarding passes for her two non-verbal autistic children. The mother explained that her kids didn't understand how to scan the passes themselves and that she needed to do it for them , but the agent allegedly wouldn't accept that and insisted the children hold and scan their own passes. Witnesses noted that a white couple traveling right ahead of them had no issues when the wife simply held their passes. the mother was only able to get help after a training coordinator stepped in to assist and comfort the mother

A southwest airlines gate agent a refused to scan the boarding passes for a mother’s two non-verbal autistic children, even after she explained that they did not understand how to do it themselves. The situation escalated and reportedly caused the mother to have a mental breakdown in front of other passengers. According to La'Quisha Logan the mother and witnesses, gate agent Charles at Gate B-9 on Flight 1948 refused to scan boarding passes for her two non-verbal autistic children. The mother explained that her kids didn't understand how to scan the passes themselves and that she needed to do it for them , but the agent allegedly wouldn't accept that and insisted the children hold and scan their own passes. Witnesses noted that a white couple traveling right ahead of them had no issues when the wife simply held their passes. the mother was only able to get help after a training coordinator stepped in to assist and comfort the mother

LASHY BILLS

24,072 views • 1 month ago

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

Mathelirium

198,381 views • 5 months ago

In 1996, James Sethian showed something almost unfair...you can find shortest routes through a messy world by letting a wave expand once...no trial paths, no search beams, just one growing front. Here’s how: we solve for an arrival-time field T(x,y) so that T literally means how long the wave needs to reach this point. The rule is ||∇ T|| = 1/F, where the medium is fast (F large) the front sprints, where it’s slow it trudges, and obstacles are speed ≈ 0, so the front wraps around them because that’s the only way forward. Then comes the satisfying part: once T exists, a path doesn’t need to search at all...drop a bead anywhere and let it follow ẋ ∝ -∇ T, it slides downhill on the time landscape and traces a globally fastest route back to the source. This “wave = optimal control” viewpoint is exactly what Tsitsiklis (1995) made precise from the Hamilton-Jacobi side...compute the value/arrival-time function and the optimal trajectories fall out from it. #FastMarching #EikonalEquation

In 1996, James Sethian showed something almost unfair...you can find shortest routes through a messy world by letting a wave expand once...no trial paths, no search beams, just one growing front. Here’s how: we solve for an arrival-time field T(x,y) so that T literally means how long the wave needs to reach this point. The rule is ||∇ T|| = 1/F, where the medium is fast (F large) the front sprints, where it’s slow it trudges, and obstacles are speed ≈ 0, so the front wraps around them because that’s the only way forward. Then comes the satisfying part: once T exists, a path doesn’t need to search at all...drop a bead anywhere and let it follow ẋ ∝ -∇ T, it slides downhill on the time landscape and traces a globally fastest route back to the source. This “wave = optimal control” viewpoint is exactly what Tsitsiklis (1995) made precise from the Hamilton-Jacobi side...compute the value/arrival-time function and the optimal trajectories fall out from it. #FastMarching #EikonalEquation

Mathelirium

766,230 views • 7 months ago

Is it reasonable to state that when sat in front of Mohamed Farmaajo, Muse Bihi squandered this once-in-a-lifetime opportunity to settle long-standing power-sharing grievances by ruining the prospect of Hargeisa becoming the capital and himself becoming president of a unified Somali Republic?

Is it reasonable to state that when sat in front of Mohamed Farmaajo, Muse Bihi squandered this once-in-a-lifetime opportunity to settle long-standing power-sharing grievances by ruining the prospect of Hargeisa becoming the capital and himself becoming president of a unified Somali Republic?

Ugaz

27,075 views • 5 months ago