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The Chinese Physicist Who Turned Force Into Geometry In 1954, Chinese physicist Chen-Ning Yang, together with Robert Mills, introduced a new idea that changed modern physics: Maybe a force is not just something that pushes or pulls. Maybe a force can come from geometry. In Yang-Mills Theory, every point... in space carries a hidden internal direction. As you move through space, that direction can twist. If you go around a closed loop and the direction does not return exactly the same, the field has curvature. That curvature is what we see as force. In this animation, the glowing surface shows where the gauge field is strongest. The changing colours show how the hidden internal direction varies across space. The moving rectangular loops are Wilson loops. They travel through the field and measure how much the internal direction changes after completing a closed path. The key equation behind the scene is Fₓᵧ = ∂ₓAᵧ - ∂ᵧAₓ + Aₓ × Aᵧ. The final term, Aₓ × Aᵧ, is the special part. It means the field can interact with itself. That self-interaction is one reason Yang-Mills theory became one of the foundations of particle physics. #China #ChinesePhysics #YangMills #GaugeTheory #QuantumFieldTheory #NonAbelianGeometry #WilsonLoops #ModernPhysics #STEMshow more

Mathelirium

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Every fundamental law of physics - Newton, Einstein, Quantum Field Theory - is derived from a single equation. Physicists don't propose new laws by writing forces anymore. They write a new Lagrangian and the math produces the physics automatically. The same principle that governs a swinging pendulum governs every quantum field in the universe - and the optimizer inside every LLM training run is solving the same underlying problem. The mechanism is stationary action. A system takes the path where the total action stops changing for any small variation. That condition produces the Euler-Lagrange equation. One equation, any number of variables, any theory of physics. In Quantum Field Theory the variables are fields across all of space and the gradient must vanish at every point simultaneously - exactly the convergence condition gradient descent hunts for across billions of LLM parameters during backpropagation. 20 minutes. Bookmark & watch today. The single equation that every law of physics is secretly a special case of.

Every fundamental law of physics - Newton, Einstein, Quantum Field Theory - is derived from a single equation. Physicists don't propose new laws by writing forces anymore. They write a new Lagrangian and the math produces the physics automatically. The same principle that governs a swinging pendulum governs every quantum field in the universe - and the optimizer inside every LLM training run is solving the same underlying problem. The mechanism is stationary action. A system takes the path where the total action stops changing for any small variation. That condition produces the Euler-Lagrange equation. One equation, any number of variables, any theory of physics. In Quantum Field Theory the variables are fields across all of space and the gradient must vanish at every point simultaneously - exactly the convergence condition gradient descent hunts for across billions of LLM parameters during backpropagation. 20 minutes. Bookmark & watch today. The single equation that every law of physics is secretly a special case of.

Eron

22,626 Aufrufe • vor 5 Tagen

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

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 Aufrufe • vor 8 Monaten

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

92,097 Aufrufe • vor 3 Monaten

Physicist Federico Faggin reveals his groundbreaking theory of consciousness: "We are going to be taken over by artificial intelligence" "Every single one of us is a field that is both the observer, the observed, and the actor. This field does not exist in space and time. Space time exists within these fields that we are." The inventor of the microprocessor explains that we are part wholes connected to the totality of existence. This is why epigenetics works - Each part accesses the knowledge of the whole. The same pattern repeats across scales. This changes everything about how we understand reality, free will, and our place in the universe.

Physicist Federico Faggin reveals his groundbreaking theory of consciousness: "We are going to be taken over by artificial intelligence" "Every single one of us is a field that is both the observer, the observed, and the actor. This field does not exist in space and time. Space time exists within these fields that we are." The inventor of the microprocessor explains that we are part wholes connected to the totality of existence. This is why epigenetics works - Each part accesses the knowledge of the whole. The same pattern repeats across scales. This changes everything about how we understand reality, free will, and our place in the universe.

Interstellar

40,152 Aufrufe • vor 4 Monaten

Dr. Zach Bush reframed the soul in a way that bridges science and mystery: What if your "soul" is the electromagnetic field that reorganizes your entire body every millionth of a second? He explains: You start as one cell that divides like a tumor — until around replication #260, when cells suddenly know exactly what to become (kidney, neuron, etc.) and where to migrate in 3D space. No biological map explains this. The blueprint appears to live in the physics — in the electromagnetic field, the "space between everything." Your body is 99.999% vacuum, yet that vacuum is super-dense with electromagnetic information that keeps manifesting "you" every millionth of a second. You disappear and reappear constantly — and keep coming back as the same coherent self. So perhaps the soul is not something separate that leaves after death… but the organizing field that holds the original blueprint of who you are. Mind-bending or profound? Which part hits hardest — the science of constant re-manifestation, or the idea that "you" are held together by an invisible field?

Dr. Zach Bush reframed the soul in a way that bridges science and mystery: What if your "soul" is the electromagnetic field that reorganizes your entire body every millionth of a second? He explains: You start as one cell that divides like a tumor — until around replication #260, when cells suddenly know exactly what to become (kidney, neuron, etc.) and where to migrate in 3D space. No biological map explains this. The blueprint appears to live in the physics — in the electromagnetic field, the "space between everything." Your body is 99.999% vacuum, yet that vacuum is super-dense with electromagnetic information that keeps manifesting "you" every millionth of a second. You disappear and reappear constantly — and keep coming back as the same coherent self. So perhaps the soul is not something separate that leaves after death… but the organizing field that holds the original blueprint of who you are. Mind-bending or profound? Which part hits hardest — the science of constant re-manifestation, or the idea that "you" are held together by an invisible field?

Camus

42,958 Aufrufe • vor 7 Monaten

A woman who spent nine years gluing paper models in a print shop just told a room of physicists their whole field stands on a mistake, one line, no hedging: "Every theory we have takes space and time for granted, like a bagel that forgot it was once a flat sheet of paper." That's Bianca Dittrich. She has a free lecture course that asks one question: what is left of geometry once you quantize it? The answer is: far less than you can picture. Quantum gravity looks like one more field theory. Buried inside is something stranger. Every quantum theory we have puts fields on a fixed stage, flat or curved, and does the physics on top of it. Here the stage itself is the thing being quantized. Your gut reads an atom of spacetime as a tiny grain sitting somewhere. Wrong. It cannot sit anywhere, because it is the somewhere. The move is invisible to human intuition, which is exactly why the people who get anywhere stop asking where the pieces are and start asking what a measurement even means. In 3D the whole thing collapses in a way that should scare you. No matter, no cosmological constant, and gravity is locally flat everywhere. Six degrees of freedom per point, all of them eaten by diffeomorphism symmetry. A field theory that ends up with finitely many real degrees of freedom, sometimes zero. None of it is hidden. Cut a parallelogram out of paper, glue the edges, and you have a torus. Flat everywhere, and yet two numbers survive that no local measurement can see. The lecture is free. Here is the trap: you feel every equation you can solve, every geometry you can draw, as progress. What you cannot feel is the gap you have to cross. Ten to the forty-one, from the Planck scale back up to the world you live in. And crossing it is the only thing that pays. Almost every approach still cannot show it recovers ordinary physics at the far end, and almost everyone quits long before then. The math is free to learn. The nerve to stop trusting your picture of space, that part you still have to bring yourself.

A woman who spent nine years gluing paper models in a print shop just told a room of physicists their whole field stands on a mistake, one line, no hedging: "Every theory we have takes space and time for granted, like a bagel that forgot it was once a flat sheet of paper." That's Bianca Dittrich. She has a free lecture course that asks one question: what is left of geometry once you quantize it? The answer is: far less than you can picture. Quantum gravity looks like one more field theory. Buried inside is something stranger. Every quantum theory we have puts fields on a fixed stage, flat or curved, and does the physics on top of it. Here the stage itself is the thing being quantized. Your gut reads an atom of spacetime as a tiny grain sitting somewhere. Wrong. It cannot sit anywhere, because it is the somewhere. The move is invisible to human intuition, which is exactly why the people who get anywhere stop asking where the pieces are and start asking what a measurement even means. In 3D the whole thing collapses in a way that should scare you. No matter, no cosmological constant, and gravity is locally flat everywhere. Six degrees of freedom per point, all of them eaten by diffeomorphism symmetry. A field theory that ends up with finitely many real degrees of freedom, sometimes zero. None of it is hidden. Cut a parallelogram out of paper, glue the edges, and you have a torus. Flat everywhere, and yet two numbers survive that no local measurement can see. The lecture is free. Here is the trap: you feel every equation you can solve, every geometry you can draw, as progress. What you cannot feel is the gap you have to cross. Ten to the forty-one, from the Planck scale back up to the world you live in. And crossing it is the only thing that pays. Almost every approach still cannot show it recovers ordinary physics at the far end, and almost everyone quits long before then. The math is free to learn. The nerve to stop trusting your picture of space, that part you still have to bring yourself.

Zyron

110,850 Aufrufe • vor 3 Monaten

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

54,894 Aufrufe • vor 6 Monaten

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

38,996 Aufrufe • vor 3 Monaten

Most people learned physics starting with particles. Tiny things. Moving through empty space. Forces pushing them around. Many engineers already know something different. Pixels don’t contain the image. Droplets don’t contain the pattern in a fountain display. Radio circuits don’t contain the music. In every case: individual events → timed in relation → repeating into stable patterns The structure isn’t in the components. It shows up through their coordination. Now follow that one step further. If patterns appear when events coordinate in phase, then what we call an object is a stabilized pattern of relations in a deeper field. That shift flips the usual physics story. Instead of starting with tiny parts and trying to glue the universe together, the demonstration in this video starts from global closure of the field itself. From that closure: • geometry is understood as the field closing on itself • forces and shapes arise as conjugate projections • quantum randomness is understood as information lost at measurement • particles show up as compressed views of coherent field structure Even “gravity” looks different. When geometry is understood as the signature of electromagnetic field closure, gravity is understood as large-scale nested electromagnetic interaction. Space itself is the field’s geometry responding to closure. And the same principle scales everywhere. Atoms close → molecules stabilize. Molecules close → cells stabilize. Each layer becomes the substrate for the next. So here’s the question worth sitting with: How does physics show up when we start from the field itself instead of the particles we measure inside it? 🔗 Link: Zenodo archive with The Grammar of Projection (formal articulation), it's conjugate, The Grammar of Persistence, nearly 500 pages of rigorous canonical derivations starting from global closure, and a couple supplemental documents. The description in the archive indexes the papers well. The recursion holds. 🌀

Most people learned physics starting with particles. Tiny things. Moving through empty space. Forces pushing them around. Many engineers already know something different. Pixels don’t contain the image. Droplets don’t contain the pattern in a fountain display. Radio circuits don’t contain the music. In every case: individual events → timed in relation → repeating into stable patterns The structure isn’t in the components. It shows up through their coordination. Now follow that one step further. If patterns appear when events coordinate in phase, then what we call an object is a stabilized pattern of relations in a deeper field. That shift flips the usual physics story. Instead of starting with tiny parts and trying to glue the universe together, the demonstration in this video starts from global closure of the field itself. From that closure: • geometry is understood as the field closing on itself • forces and shapes arise as conjugate projections • quantum randomness is understood as information lost at measurement • particles show up as compressed views of coherent field structure Even “gravity” looks different. When geometry is understood as the signature of electromagnetic field closure, gravity is understood as large-scale nested electromagnetic interaction. Space itself is the field’s geometry responding to closure. And the same principle scales everywhere. Atoms close → molecules stabilize. Molecules close → cells stabilize. Each layer becomes the substrate for the next. So here’s the question worth sitting with: How does physics show up when we start from the field itself instead of the particles we measure inside it? 🔗 Link: Zenodo archive with The Grammar of Projection (formal articulation), it's conjugate, The Grammar of Persistence, nearly 500 pages of rigorous canonical derivations starting from global closure, and a couple supplemental documents. The description in the archive indexes the papers well. The recursion holds. 🌀

R. Wade H. Marr

12,487 Aufrufe • vor 7 Monaten

String Theory Lecture 1 A String Does Not Move Like a Point A point particle traces a line through spacetime. A string traces a surface. This is the first geometric shift in String Theory. Particle mechanics asks where one object is at time t, so its history is a curve. String Theory asks where every point of an extended object is at worldsheet time τ, so we need another coordinate telling us where we are along the string. For a point particle x(t) So, for one input of time we get a position in Spacetime. For a string Xᵘ(τ,σ) Here τ plays the role of time on the worldsheet, while σ labels position along the string. Freeze τ and vary σ, and you see the string at one instant. Let τ move, and that curve sweeps out a two-dimensional surface... the worldsheet. The same comparison appears in the action. For a relativistic point particle, the geometric action measures worldline length S = −m ∫ ds If we parameterize the path by t, the action has one integral, one parameter, and one tangent vector dxᵘ/dt For a string, the same idea grows by one dimension. The action measures area, not length. In Nambu-Goto form, S = −T ∫ dτ dσ √[−det hₐᵦ] Here T is the string tension. It plays a role similar to mass, but for an extended object. It weights the area of a surface rather than the length of a line. The particle action has ∫ dt because the history is one-dimensional. The string action has ∫ dτ dσ because the history is two-dimensional. We are no longer summing along a path, we are summing over a surface. The geometry changes for the same reason. For the particle, one derivative is enough dxᵘ/dt For the string, the geometry is built from two derivatives: ∂τXᵘ and ∂σXᵘ The first tells you how the string changes as worldsheet time flows. The second tells you how the embedding changes as you move along the string. Together they define the induced worldsheet metric hₐᵦ = ∂ₐXᵘ ∂ᵦXᵤ In plain terms, hₐᵦ measures tangent lengths and tangent angles on the worldsheet. From it, the area element is dA = dτ dσ √[−det hₐᵦ] This, the Nambu-Goto action is the direct analogue of the point-particle length action. The point particle extremizes length and the string extremizes area. For calculations, people usually switch to the Polyakov action: S = −(T/2) ∫ dτ dσ √[−γ] γᵃᵇ ∂ₐXᵘ ∂ᵦXᵤ This describes the same classical string dynamics, but the algebra is cleaner. After choosing conformal gauge, varying with respect to Xᵘ gives (∂²/∂τ² − ∂²/∂σ²) Xᵘ = 0 This is the first real dynamical payoff... a two-dimensional wave equation on the worldsheet. For a point particle, the equation of motion tells you how one position evolves along one path. For a string, it tells you how an entire curve evolves, with waves traveling along it. The term ∂²Xᵘ/∂τ² measures acceleration in worldsheet time, while ∂²Xᵘ/∂σ² measures curvature along the string. The time evolution is balanced by how the string bends along its own length. This is why strings have oscillation modes. A point particle has one trajectory. A string has many possible vibration patterns, each one a normal mode of the worldsheet wave equation. For a closed string, σ wraps around the loop Xᵘ(τ, σ + 2π) = Xᵘ(τ, σ) For an open string, one standard free-end condition is ∂σXᵘ = 0 at the endpoints. Solving the wave equation gives waves moving in opposite directions along the string Xᵘ(τ,σ) = Fᵘ(τ + σ) + Gᵘ(τ − σ) A function of τ + σ moves one way. A function of τ − σ moves the other. Therefore, a particle has a worldline, its action measures length, and its geometry uses one tangent. The string has a worldsheet, its action measures area, and its geometry uses two tangent directions. #StringTheory #TheoreticalPhysics #MathematicalPhysics #Physics #Spacetime

String Theory Lecture 1 A String Does Not Move Like a Point A point particle traces a line through spacetime. A string traces a surface. This is the first geometric shift in String Theory. Particle mechanics asks where one object is at time t, so its history is a curve. String Theory asks where every point of an extended object is at worldsheet time τ, so we need another coordinate telling us where we are along the string. For a point particle x(t) So, for one input of time we get a position in Spacetime. For a string Xᵘ(τ,σ) Here τ plays the role of time on the worldsheet, while σ labels position along the string. Freeze τ and vary σ, and you see the string at one instant. Let τ move, and that curve sweeps out a two-dimensional surface... the worldsheet. The same comparison appears in the action. For a relativistic point particle, the geometric action measures worldline length S = −m ∫ ds If we parameterize the path by t, the action has one integral, one parameter, and one tangent vector dxᵘ/dt For a string, the same idea grows by one dimension. The action measures area, not length. In Nambu-Goto form, S = −T ∫ dτ dσ √[−det hₐᵦ] Here T is the string tension. It plays a role similar to mass, but for an extended object. It weights the area of a surface rather than the length of a line. The particle action has ∫ dt because the history is one-dimensional. The string action has ∫ dτ dσ because the history is two-dimensional. We are no longer summing along a path, we are summing over a surface. The geometry changes for the same reason. For the particle, one derivative is enough dxᵘ/dt For the string, the geometry is built from two derivatives: ∂τXᵘ and ∂σXᵘ The first tells you how the string changes as worldsheet time flows. The second tells you how the embedding changes as you move along the string. Together they define the induced worldsheet metric hₐᵦ = ∂ₐXᵘ ∂ᵦXᵤ In plain terms, hₐᵦ measures tangent lengths and tangent angles on the worldsheet. From it, the area element is dA = dτ dσ √[−det hₐᵦ] This, the Nambu-Goto action is the direct analogue of the point-particle length action. The point particle extremizes length and the string extremizes area. For calculations, people usually switch to the Polyakov action: S = −(T/2) ∫ dτ dσ √[−γ] γᵃᵇ ∂ₐXᵘ ∂ᵦXᵤ This describes the same classical string dynamics, but the algebra is cleaner. After choosing conformal gauge, varying with respect to Xᵘ gives (∂²/∂τ² − ∂²/∂σ²) Xᵘ = 0 This is the first real dynamical payoff... a two-dimensional wave equation on the worldsheet. For a point particle, the equation of motion tells you how one position evolves along one path. For a string, it tells you how an entire curve evolves, with waves traveling along it. The term ∂²Xᵘ/∂τ² measures acceleration in worldsheet time, while ∂²Xᵘ/∂σ² measures curvature along the string. The time evolution is balanced by how the string bends along its own length. This is why strings have oscillation modes. A point particle has one trajectory. A string has many possible vibration patterns, each one a normal mode of the worldsheet wave equation. For a closed string, σ wraps around the loop Xᵘ(τ, σ + 2π) = Xᵘ(τ, σ) For an open string, one standard free-end condition is ∂σXᵘ = 0 at the endpoints. Solving the wave equation gives waves moving in opposite directions along the string Xᵘ(τ,σ) = Fᵘ(τ + σ) + Gᵘ(τ − σ) A function of τ + σ moves one way. A function of τ − σ moves the other. Therefore, a particle has a worldline, its action measures length, and its geometry uses one tangent. The string has a worldsheet, its action measures area, and its geometry uses two tangent directions. #StringTheory #TheoreticalPhysics #MathematicalPhysics #Physics #Spacetime

Mathelirium

32,127 Aufrufe • vor 5 Monaten

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

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

42,315 Aufrufe • vor 7 Monaten

Ever Heard of a Metric in Differential Geometry? How About a Geodesic? These two ideas are central to how Mathematics and Physics describe Spacetime. A metric is how a surface measures distance and angle. A geodesic is the path that counts as "straight" after that measuring rule is chosen. Once the metric changes from point to point, straightness is no longer something you judge by eye. On a curved surface, the shortest paths are geodesics. They are chosen by the metric. Take a surface written as r(x,y) = (x, y, f(x,y)) Its metric is gᵢⱼ = ∂ᵢr · ∂ⱼr A geodesic q(t) = (x(t), y(t)) obeys q̈ᵏ + Γᵏᵢⱼ q̇ᶦq̇ʲ = 0 where Γᵏᵢⱼ are the Christoffel symbols of the surface metric. Launch many almost-parallel paths. At the start, they look like a clean beam until curvature takes over. Some paths focus, others separate and some slide around ridges. The surface is essentially the rulebook for motion. The shortest path is local. The geometry remembers everything. #DifferentialGeometry #Geodesics #RiemannianGeometry #MathematicalPhysics #Curvature #TensorCalculus #AppliedMathematics #Geometry #ScienceAnimation

Ever Heard of a Metric in Differential Geometry? How About a Geodesic? These two ideas are central to how Mathematics and Physics describe Spacetime. A metric is how a surface measures distance and angle. A geodesic is the path that counts as "straight" after that measuring rule is chosen. Once the metric changes from point to point, straightness is no longer something you judge by eye. On a curved surface, the shortest paths are geodesics. They are chosen by the metric. Take a surface written as r(x,y) = (x, y, f(x,y)) Its metric is gᵢⱼ = ∂ᵢr · ∂ⱼr A geodesic q(t) = (x(t), y(t)) obeys q̈ᵏ + Γᵏᵢⱼ q̇ᶦq̇ʲ = 0 where Γᵏᵢⱼ are the Christoffel symbols of the surface metric. Launch many almost-parallel paths. At the start, they look like a clean beam until curvature takes over. Some paths focus, others separate and some slide around ridges. The surface is essentially the rulebook for motion. The shortest path is local. The geometry remembers everything. #DifferentialGeometry #Geodesics #RiemannianGeometry #MathematicalPhysics #Curvature #TensorCalculus #AppliedMathematics #Geometry #ScienceAnimation

Mathelirium

22,170 Aufrufe • vor 3 Monaten

🚨 NOW: President Trump takes huge VICTORY LAP on the success of Space Force — which some Democrats MOCKED Space Force is now vastly improving the accuracy of our weapons on the ground. And we're leading China and Russia, easily 🔥 "I'm very proud of the Space Force because that was a branch that a new one that came up, and we were losing to Russia and to China in space." "Space Force is now leading the other countries, China, Russia, and there is no fourth, really, and leading them by, we saw numbers the other day, leading, we're leading in space by so much it's, we're never going to be caught. So I'm very proud of Space Force!" "I think it's going to be one of our most important as time goes by. A lot of the things that you see, a lot of the accuracy of the weapons is caused because of what we created with Space Force, so we're very proud of that."

🚨 NOW: President Trump takes huge VICTORY LAP on the success of Space Force — which some Democrats MOCKED Space Force is now vastly improving the accuracy of our weapons on the ground. And we're leading China and Russia, easily 🔥 "I'm very proud of the Space Force because that was a branch that a new one that came up, and we were losing to Russia and to China in space." "Space Force is now leading the other countries, China, Russia, and there is no fourth, really, and leading them by, we saw numbers the other day, leading, we're leading in space by so much it's, we're never going to be caught. So I'm very proud of Space Force!" "I think it's going to be one of our most important as time goes by. A lot of the things that you see, a lot of the accuracy of the weapons is caused because of what we created with Space Force, so we're very proud of that."

Eric Daugherty

15,034 Aufrufe • vor 5 Monaten

Desveaux’s Theory of Helix Fields Tweet 1 of 2 For decades, we treated the universe like a giant stage where particles act out their lives. What if the stage itself isn't empty? What if the "void" of space is a structured, rotating medium that is constantly twisting & turning? We have been looking at the pieces of the puzzle, but ignoring the board they sit on. It’s been hiding in plain in sight? My idea on Helix Fields suggests everything we see, from the smallest atom to the largest galaxy, is actually a "corkscrew" in the fabric of reality. In standard physics, we think of particles like tiny billiard balls. In Helix Field Theory, we rethink them as solitons - essentially stable, high-energy "whirlpools" or "corkscrews" made of space itself. Imagine a ribbon. If you pull it straight, it’s flat and simple. But if you twist it, you create a spiral. That twist is what we call Torsion. My theory says that what we perceive as "matter" is simply a place where the vacuum of space is rotating so tightly that it creates a "density core." To explain how this all works, we use a mathematical roadmap called a Lagrangian. Think of it as a master recipe or cookbook for the universe. It combines four key ingredients: 1. Electricity and Magnetism: How light and energy move. 2. Scalar Fields: The underlying "pressure" of the vacuum in space itself 3. Matter: The physical "stuff" we can touch. 4. Torsion: The "twist" or rotational force of space. By looking at the universe through this "helix" lens, we can solve two of the biggest headaches in modern science: The Hubble Tension - Astronomers are currently arguing over how fast the universe is expanding because different measurements give different answers. My theory suggests this "tension" exists because we haven't accounted for the universal rotation (torsion) affecting our measurements. The Dark Sector - We know there is "Dark Matter" and "Dark Energy" out there, but we can't find it. Helix Field Theory suggests these aren't invisible particles, but rather geometric artifacts - ripples and shadows created by the rotating vacuum itself. We are moving away from a universe of "things" and toward a universe of geometry and motion. If the vacuum of space is a structured, rotating medium, then we aren't just living in the universe - we are part of its physical rotation. The "Quantum Substratum" isn't just a theory; it’s a new way to understand the very "twist" of existence. - Protons: tiny rotating black hole-like cores anchoring the scalar field - Neutrons: stabilisers that prevent proton cores from decaying - Quarks & Gluons: the deepest torsion knots; the strong force is intrinsic torsion - Electrons: corkscrew-shaped solitons producing microscopic magnetic vortices - Neutrinos: ultra-light messenger waves traveling along the field’s “communication lines.” - Photons: instruction ripples traveling at light speed - Dark Photons: the “torsion messengers” of the Helix Field. They carry the twist, regulate the twist, and stabilize the twisting motion - W and Z bosons: on/off switches and stabilising nodes in the neutrino network - Higgs field: the local density of the scalar field, giving solitons their effective mass - Dark energy: the gentle outward push caused by the field’s overall rotation - Entropy: friction in that rotation, giving time its arrow - Cosmic Microwave Background: the universal “sustain pedal” like on a guitar or piano, keeping the field’s vibrations in phase. In this vision, dark matter isn’t missing matter - it’s the gravitational echo of the scalar field itself. Exploring antiparticles further: they may regulate the flow of time itself. In a rotational and torsional universe Time is a neutral observer: the past and future are fixed, but the present - our free will - is the point where choices echo into fate. Time is the “God” of the universe: ever-present, ever-aware, never interfering - just watching, as we decide which thread to follow.

Desveaux’s Theory of Helix Fields Tweet 1 of 2 For decades, we treated the universe like a giant stage where particles act out their lives. What if the stage itself isn't empty? What if the "void" of space is a structured, rotating medium that is constantly twisting & turning? We have been looking at the pieces of the puzzle, but ignoring the board they sit on. It’s been hiding in plain in sight? My idea on Helix Fields suggests everything we see, from the smallest atom to the largest galaxy, is actually a "corkscrew" in the fabric of reality. In standard physics, we think of particles like tiny billiard balls. In Helix Field Theory, we rethink them as solitons - essentially stable, high-energy "whirlpools" or "corkscrews" made of space itself. Imagine a ribbon. If you pull it straight, it’s flat and simple. But if you twist it, you create a spiral. That twist is what we call Torsion. My theory says that what we perceive as "matter" is simply a place where the vacuum of space is rotating so tightly that it creates a "density core." To explain how this all works, we use a mathematical roadmap called a Lagrangian. Think of it as a master recipe or cookbook for the universe. It combines four key ingredients: 1. Electricity and Magnetism: How light and energy move. 2. Scalar Fields: The underlying "pressure" of the vacuum in space itself 3. Matter: The physical "stuff" we can touch. 4. Torsion: The "twist" or rotational force of space. By looking at the universe through this "helix" lens, we can solve two of the biggest headaches in modern science: The Hubble Tension - Astronomers are currently arguing over how fast the universe is expanding because different measurements give different answers. My theory suggests this "tension" exists because we haven't accounted for the universal rotation (torsion) affecting our measurements. The Dark Sector - We know there is "Dark Matter" and "Dark Energy" out there, but we can't find it. Helix Field Theory suggests these aren't invisible particles, but rather geometric artifacts - ripples and shadows created by the rotating vacuum itself. We are moving away from a universe of "things" and toward a universe of geometry and motion. If the vacuum of space is a structured, rotating medium, then we aren't just living in the universe - we are part of its physical rotation. The "Quantum Substratum" isn't just a theory; it’s a new way to understand the very "twist" of existence. - Protons: tiny rotating black hole-like cores anchoring the scalar field - Neutrons: stabilisers that prevent proton cores from decaying - Quarks & Gluons: the deepest torsion knots; the strong force is intrinsic torsion - Electrons: corkscrew-shaped solitons producing microscopic magnetic vortices - Neutrinos: ultra-light messenger waves traveling along the field’s “communication lines.” - Photons: instruction ripples traveling at light speed - Dark Photons: the “torsion messengers” of the Helix Field. They carry the twist, regulate the twist, and stabilize the twisting motion - W and Z bosons: on/off switches and stabilising nodes in the neutrino network - Higgs field: the local density of the scalar field, giving solitons their effective mass - Dark energy: the gentle outward push caused by the field’s overall rotation - Entropy: friction in that rotation, giving time its arrow - Cosmic Microwave Background: the universal “sustain pedal” like on a guitar or piano, keeping the field’s vibrations in phase. In this vision, dark matter isn’t missing matter - it’s the gravitational echo of the scalar field itself. Exploring antiparticles further: they may regulate the flow of time itself. In a rotational and torsional universe Time is a neutral observer: the past and future are fixed, but the present - our free will - is the point where choices echo into fate. Time is the “God” of the universe: ever-present, ever-aware, never interfering - just watching, as we decide which thread to follow.

Clinton Desveaux

23,492 Aufrufe • vor 9 Monaten

Electrons moving through a magnetic field can become trapped between two strong magnetic regions. As they approach either end, they slow down, turn around and travel back the other way. The glowing surface below shows the same motion in another way, revealing where the electrons are and how fast they are moving along the field.

Electrons moving through a magnetic field can become trapped between two strong magnetic regions. As they approach either end, they slow down, turn around and travel back the other way. The glowing surface below shows the same motion in another way, revealing where the electrons are and how fast they are moving along the field.

Mathelirium

17,907 Aufrufe • vor 11 Tagen

The Hidden Flow Inside Schrödinger’s Equation Once you define ρ = |ψ|² and differentiate it, Schrödinger equation rearranges into a continuity law, ∂ρ/∂t + ∇·j = 0, with j = (1/m)Im(ψ*∇ψ). Which means that probability is not just sitting there, it flows. Write ψ = r e^(iθ), and the current becomes j = (ρ/m)∇θ. So, the phase gradient is the steering field. When the phase winds by 2πn around a loop, the circulation is quantized, and the cores appear where ρ collapses so the phase can go undefined. In the animation, the ribbons trace that current, the color field shows phase, and the curls in the streamlines mark quantized vortex defects.

The Hidden Flow Inside Schrödinger’s Equation Once you define ρ = |ψ|² and differentiate it, Schrödinger equation rearranges into a continuity law, ∂ρ/∂t + ∇·j = 0, with j = (1/m)Im(ψ*∇ψ). Which means that probability is not just sitting there, it flows. Write ψ = r e^(iθ), and the current becomes j = (ρ/m)∇θ. So, the phase gradient is the steering field. When the phase winds by 2πn around a loop, the circulation is quantized, and the cores appear where ρ collapses so the phase can go undefined. In the animation, the ribbons trace that current, the color field shows phase, and the curls in the streamlines mark quantized vortex defects.

Mathelirium

26,511 Aufrufe • vor 6 Monaten

Some hitters constantly pull off the ball or get spinny. One reason could be related to Motor Shoulder. Every athlete has one shoulder that naturally sits slightly in front of the other. That shoulder often becomes the one that helps drive direction during rotation. In Motor Preferences we commonly see two patterns (with nuance): Back Motor Shoulder Keep the shoulders more in line with the pitcher so the back shoulder can work through and drive direction. Front Motor Shoulder Allow the athlete to load the front shoulder in so when rotation happens they can maintain direction through the middle of the field. The goal isn’t to force the same swing. It’s understanding the ranges of motion the athlete naturally organizes around and coaching toward them. We go deeper on Motor Shoulder and Motor Preferences in the Level 1 Baseball/Softball eCourse.

Some hitters constantly pull off the ball or get spinny. One reason could be related to Motor Shoulder. Every athlete has one shoulder that naturally sits slightly in front of the other. That shoulder often becomes the one that helps drive direction during rotation. In Motor Preferences we commonly see two patterns (with nuance): Back Motor Shoulder Keep the shoulders more in line with the pitcher so the back shoulder can work through and drive direction. Front Motor Shoulder Allow the athlete to load the front shoulder in so when rotation happens they can maintain direction through the middle of the field. The goal isn’t to force the same swing. It’s understanding the ranges of motion the athlete naturally organizes around and coaching toward them. We go deeper on Motor Shoulder and Motor Preferences in the Level 1 Baseball/Softball eCourse.

Motor Preferences Experts, LLC

11,224 Aufrufe • vor 7 Monaten

Normalize Working in Phase Space Ordinary space shows where the particle is. Phase space shows its complete state, position and momentum together, revealing the hidden geometry of its motion.

Normalize Working in Phase Space Ordinary space shows where the particle is. Phase space shows its complete state, position and momentum together, revealing the hidden geometry of its motion.

Mathelirium

103,511 Aufrufe • vor 2 Monaten