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A cinematic multiphysics simulation of Jupiter's vast magnetic environment. We see lo volcanism, plasma transport, Alfvén wings, aurora, magnetic reconnection and plasmoid release. #ComputationalPhysics #PlasmaPhysics #MHD

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Mathelirium

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15,974 просмотров • 1 месяц назад •via X (Twitter)

#ComputationalPhysics#PlasmaPhysics#MHD
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Have you seen anything more beautiful?!! 🤩😍🙌🏽 A magnetohydrodynamics (MHD) simulation of solar-wknd compression, magnetic reconnection, plasmoid release, particle acceleration, and auroral activity around Earth.
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Have you seen anything more beautiful?!! 🤩😍🙌🏽 A magnetohydrodynamics (MHD) simulation of solar-wknd compression, magnetic reconnection, plasmoid release, particle acceleration, and auroral activity around Earth.

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355,425 просмотров • 1 месяц назад

After exploring Earth's magnetosphere, we now journey to Neptune for more spectacular views. 🤩😍 Using reduced resistive magnetohydrodynamics (MHD) model, this simulation captures solar wind interacting with Neptune and its moons. We see magnetic reconnection, plasmoids and tearing magnetotail.
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After exploring Earth's magnetosphere, we now journey to Neptune for more spectacular views. 🤩😍 Using reduced resistive magnetohydrodynamics (MHD) model, this simulation captures solar wind interacting with Neptune and its moons. We see magnetic reconnection, plasmoids and tearing magnetotail.

Mathelirium

15,988 просмотров • 1 месяц назад

What you're seeing here is a simulation of a solar-wind pressure interacting with Earth's magnetosphere. Computations are based on the equations of resistive magnetohydrodynamics (MHD). In the model, the plasma is treated as an electrically conducting fluid whose motion is coupled to the evolution of the magnetic field.
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What you're seeing here is a simulation of a solar-wind pressure interacting with Earth's magnetosphere. Computations are based on the equations of resistive magnetohydrodynamics (MHD). In the model, the plasma is treated as an electrically conducting fluid whose motion is coupled to the evolution of the magnetic field.

Mathelirium

33,821 просмотров • 1 месяц назад

Neptune's magnetic tail can become very violent. Solar-wind compression can make it flap, tear, reconnect, and eject plasmoids, all while Triton feeds pickup plasma into the system. - A magnetohydrodynamics simulation
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Neptune's magnetic tail can become very violent. Solar-wind compression can make it flap, tear, reconnect, and eject plasmoids, all while Triton feeds pickup plasma into the system. - A magnetohydrodynamics simulation

Mathelirium

30,870 просмотров • 9 дней назад

A Quantum wave takes two paths around an enclosed magnetic flux and reunites with a phase offset that no local magnetic field measurement can explain. Threads represent the probability current.
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A Quantum wave takes two paths around an enclosed magnetic flux and reunites with a phase offset that no local magnetic field measurement can explain. Threads represent the probability current.

Mathelirium

30,622 просмотров • 1 месяц назад

There are four states of matter: solid, liquid, gas, and plasma. In esoteric knowledge, they are the four elements. Jinn, angels, demons, Ahuras, Devas, etc. are made of "fire"; they are plasmoids, structures of plasma, just like the Sun and magnetic fields. The final evolution of the soul will make you a plasmoid as well, one day. The body made out of light in the Tibetan tradition is a plasma body; this is the final step of evolution.
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There are four states of matter: solid, liquid, gas, and plasma. In esoteric knowledge, they are the four elements. Jinn, angels, demons, Ahuras, Devas, etc. are made of "fire"; they are plasmoids, structures of plasma, just like the Sun and magnetic fields. The final evolution of the soul will make you a plasmoid as well, one day. The body made out of light in the Tibetan tradition is a plasma body; this is the final step of evolution.

Open Minded Approach

27,373 просмотров • 3 месяцев назад

🚨 NEW SCIENTIFIC RESEARCH COULD REVEAL PLASMATE INTELLIGENCE & COMMUNICATION LANGUAGE THROUGH LIGHT What if the luminescence we see in plasma orbs, or Plasmates, is not simply a glow, but information? And what if we could test whether they are communicating, responding to their environment, and even displaying inorganic (non-human) intelligence? A new scientific paper I found, put alongside the paper I looked at last week from Michael Levin on intelligence and consciousness, has given me an exciting new hypothesis, a testable one!? In 'Assouline & Capua, “Faraday effects emerging from the optical magnetic field,” they discovered that the magnetic component of light itself can directly influence matter. And that led me to an extraordinary possibility. Plasma is made from electrically charged particles. It naturally produces electric and magnetic fields, and their own visible light. Until now, we have generally treated that glow as a by-product — simply energy escaping from the plasma. But what if the light is actually part of the system, the network architecture of intelligence and possibly communication? Have a listen to my thoughts in more detail and you will also see images from the paper referred to as part of the video Now all I need to do is find a plasma physicist with some funding to go and test it out... 🤔 #plasma #electromagnetics Nathaniel Hanks J2 HōloÇypher ALIENPROTOCOLS
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🚨 NEW SCIENTIFIC RESEARCH COULD REVEAL PLASMATE INTELLIGENCE & COMMUNICATION LANGUAGE THROUGH LIGHT What if the luminescence we see in plasma orbs, or Plasmates, is not simply a glow, but information? And what if we could test whether they are communicating, responding to their environment, and even displaying inorganic (non-human) intelligence? A new scientific paper I found, put alongside the paper I looked at last week from Michael Levin on intelligence and consciousness, has given me an exciting new hypothesis, a testable one!? In 'Assouline & Capua, “Faraday effects emerging from the optical magnetic field,” they discovered that the magnetic component of light itself can directly influence matter. And that led me to an extraordinary possibility. Plasma is made from electrically charged particles. It naturally produces electric and magnetic fields, and their own visible light. Until now, we have generally treated that glow as a by-product — simply energy escaping from the plasma. But what if the light is actually part of the system, the network architecture of intelligence and possibly communication? Have a listen to my thoughts in more detail and you will also see images from the paper referred to as part of the video Now all I need to do is find a plasma physicist with some funding to go and test it out... 🤔 #plasma #electromagnetics Nathaniel Hanks J2 HōloÇypher ALIENPROTOCOLS

Moneypenny

11,821 просмотров • 2 месяцев назад

An intense pulse of laser light enters a plasma and what follows is almost unbelievable. The laser pushes plasma electron aside, carving out a charged cavity. As the plasma rushes back, it creates an electric wake that can trap and accelerate another bunch of electrons. This is known as Laser Wakefield Acceleration (LWFA) and is being explored for future accelerator Physics. For this animation, we used a reduced particle-in-cell (PIC) method, coupling particle motion to the self-consistent plasma field on a computational mesh.
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An intense pulse of laser light enters a plasma and what follows is almost unbelievable. The laser pushes plasma electron aside, carving out a charged cavity. As the plasma rushes back, it creates an electric wake that can trap and accelerate another bunch of electrons. This is known as Laser Wakefield Acceleration (LWFA) and is being explored for future accelerator Physics. For this animation, we used a reduced particle-in-cell (PIC) method, coupling particle motion to the self-consistent plasma field on a computational mesh.

Mathelirium

35,595 просмотров • 20 дней назад

Researchers at Tokamak Energy have captured for the first time a real-time, high-speed video of plasma behaviour inside their ST40 spherical tokamak, tracking visible green and red light emissions as the fusion process occurs. This visual insight comes via a camera operating at thousands of frames per second, offering unprecedented detail of how the plasma evolves, interacts with the surrounding lithium blanket and outer regions, and ultimately radiates energy. The imaging enables scientists to observe how the ultra-hot core transitions outward into cooler zones, how magnetic confinement shapes the plasma behaviour, and how impurities or outer-region interactions influence the process. By giving a ‘star-in-a-donut’ view of fusion in action, this breakthrough adds a new diagnostic tool to the development of fusion energy, helping engineers refine the magnetic confinement, optimise plasma stability and better understand the heat and light flows at play. It was slowed down by 100x. All this was for 0.3s A tokamak is one of the most advanced devices ever created to achieve controlled nuclear fusion, the same process that powers the Sun. Its goal is simple in principle but incredibly challenging in practice: heat a gas until it becomes plasma, raise that plasma to over 100 million degrees, and confine it long enough for hydrogen nuclei to fuse and release energy. Because no material container can survive such temperatures, a tokamak uses powerful magnetic fields to hold and shape the plasma like an invisible cage. The device has a distinctive doughnut-shaped (toroidal) chamber surrounded by magnetic coils. When the machine is switched on, electric currents and external magnets work together to create helical magnetic fields that trap the plasma and keep it away from the walls. As the plasma spirals around these magnetic lines, it heats up dramatically. Additional heating comes from methods like radio-frequency waves and neutral-beam injection, pushing the plasma toward the extreme temperatures needed for fusion. Inside this tightly controlled environment, hydrogen isotopes such as deuterium and tritium can collide and fuse, releasing fast neutrons and a burst of energy. The goal of tokamak research is to reach a point where the fusion reactions produce more energy than the system consumes, a milestone known as “net energy gain.” Modern machines like ITER, JET, and Tokamak Energy’s ST40 are bringing this vision closer, using advanced diagnostics, superconducting magnets, and increasingly stable plasma control. 👉
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Researchers at Tokamak Energy have captured for the first time a real-time, high-speed video of plasma behaviour inside their ST40 spherical tokamak, tracking visible green and red light emissions as the fusion process occurs. This visual insight comes via a camera operating at thousands of frames per second, offering unprecedented detail of how the plasma evolves, interacts with the surrounding lithium blanket and outer regions, and ultimately radiates energy. The imaging enables scientists to observe how the ultra-hot core transitions outward into cooler zones, how magnetic confinement shapes the plasma behaviour, and how impurities or outer-region interactions influence the process. By giving a ‘star-in-a-donut’ view of fusion in action, this breakthrough adds a new diagnostic tool to the development of fusion energy, helping engineers refine the magnetic confinement, optimise plasma stability and better understand the heat and light flows at play. It was slowed down by 100x. All this was for 0.3s A tokamak is one of the most advanced devices ever created to achieve controlled nuclear fusion, the same process that powers the Sun. Its goal is simple in principle but incredibly challenging in practice: heat a gas until it becomes plasma, raise that plasma to over 100 million degrees, and confine it long enough for hydrogen nuclei to fuse and release energy. Because no material container can survive such temperatures, a tokamak uses powerful magnetic fields to hold and shape the plasma like an invisible cage. The device has a distinctive doughnut-shaped (toroidal) chamber surrounded by magnetic coils. When the machine is switched on, electric currents and external magnets work together to create helical magnetic fields that trap the plasma and keep it away from the walls. As the plasma spirals around these magnetic lines, it heats up dramatically. Additional heating comes from methods like radio-frequency waves and neutral-beam injection, pushing the plasma toward the extreme temperatures needed for fusion. Inside this tightly controlled environment, hydrogen isotopes such as deuterium and tritium can collide and fuse, releasing fast neutrons and a burst of energy. The goal of tokamak research is to reach a point where the fusion reactions produce more energy than the system consumes, a milestone known as “net energy gain.” Modern machines like ITER, JET, and Tokamak Energy’s ST40 are bringing this vision closer, using advanced diagnostics, superconducting magnets, and increasingly stable plasma control. 👉

Erika 

162,540 просмотров • 9 месяцев назад

We saw that with Cherenkov Radiation, a charged particle radiates when it outruns light in a medium. A charged particle also radiates when a magnetic field bends its path. This is called Synchrotron Radiation. The faster the particle moves, the more strongly emitted radiation is concentrated in the forward tangential direction.
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We saw that with Cherenkov Radiation, a charged particle radiates when it outruns light in a medium. A charged particle also radiates when a magnetic field bends its path. This is called Synchrotron Radiation. The faster the particle moves, the more strongly emitted radiation is concentrated in the forward tangential direction.

Mathelirium

21,526 просмотров • 16 дней назад

Forgive me guys, Im jus obsessed with these plasma visualizations😍 A relativistic electron beam can rip plasma electrons out of its path and leave behind a positively charged iron cavity. As the driver passes, the light electrons are expelled outward into a dense sheath, while the much heavier ions remain almost stationary.
0:56

Forgive me guys, Im jus obsessed with these plasma visualizations😍 A relativistic electron beam can rip plasma electrons out of its path and leave behind a positively charged iron cavity. As the driver passes, the light electrons are expelled outward into a dense sheath, while the much heavier ions remain almost stationary.

Mathelirium

11,879 просмотров • 18 дней назад

Most of us were taught that PLASMA is an exotic fourth state of matter. That framing is backwards. Plasma is the normal expression of the electromagnetic field when charge differentiates and begins to move freely. Matter is the rare exception. Approximately 99.9% of the visible universe is plasma. Only about 0.1% appears as matter. Stars are plasma. Nebulae are plasma. Solar winds are plasma. The vast filaments forming the cosmic web are plasma. Plasma is not rare. Plasma is the fundamental expression of the field. Matter shows up when the field does something very specific. Electric differentiation pushes outward. Magnetic tension provides containment. When these forces reach a stable relationship, they phase-lock. In the Grammar of Projection this relationship is expressed as a coherence metric: T = |e × v| / |B × ω| Where: • e = characteristic electric or motive coupling scale of the system • v = relevant propagation or transport velocity • B = containing or stabilizing field strength • ω = characteristic oscillatory rate of containment formative pressure: |e × v| containing tension: |B × ω| When formative pressure and containing tension reach impedance match, the field stops dispersing and begins oscillating in place. Standing waves appear. Matter is simply plasma where electric formative pressure and magnetic containing tension phase-lock into a persistent repeating pattern. Atoms are stable plasma configurations. Planets, bodies, and biological systems are nested standing-wave structures of a plasma field. The implication is profound. The universe is not primarily made of particles. The universe is primarily flowing electromagnetic field. Matter is the rare moment where that flow holds in dynamic stability. A useful way to visualize this is like threads being woven together. Electric differentiation behaves like threads moving outward. Magnetic tension weaves those threads into stable relational patterns. The universe is not literally weaving fabric. The metaphor helps us visualize how flowing field tensions interlock into stable structures. When phase-lock occurs, structure appears. Structure is plasma remembering how to return to itself. So the real inversion becomes visible: Plasma is the norm. Matter is the anomaly. Which raises a much deeper question. How do medicine, neuroscience, and engineering change when we begin from the primacy of abundant plasma — and recognize matter, bodies, and technologies as coherent standing-wave structures within that field rather than designing our models around the rare 0.1% that locally stabilizes as matter? 🔗 The Grammar of Projection (compression of derivation of EM Primacy) and it's conjugate, The Grammar of Persistence, Canonical Derivations, and supplemental documents clearly indexed and archived here: The Recursion Holds. 🌀
5:50

Most of us were taught that PLASMA is an exotic fourth state of matter. That framing is backwards. Plasma is the normal expression of the electromagnetic field when charge differentiates and begins to move freely. Matter is the rare exception. Approximately 99.9% of the visible universe is plasma. Only about 0.1% appears as matter. Stars are plasma. Nebulae are plasma. Solar winds are plasma. The vast filaments forming the cosmic web are plasma. Plasma is not rare. Plasma is the fundamental expression of the field. Matter shows up when the field does something very specific. Electric differentiation pushes outward. Magnetic tension provides containment. When these forces reach a stable relationship, they phase-lock. In the Grammar of Projection this relationship is expressed as a coherence metric: T = |e × v| / |B × ω| Where: • e = characteristic electric or motive coupling scale of the system • v = relevant propagation or transport velocity • B = containing or stabilizing field strength • ω = characteristic oscillatory rate of containment formative pressure: |e × v| containing tension: |B × ω| When formative pressure and containing tension reach impedance match, the field stops dispersing and begins oscillating in place. Standing waves appear. Matter is simply plasma where electric formative pressure and magnetic containing tension phase-lock into a persistent repeating pattern. Atoms are stable plasma configurations. Planets, bodies, and biological systems are nested standing-wave structures of a plasma field. The implication is profound. The universe is not primarily made of particles. The universe is primarily flowing electromagnetic field. Matter is the rare moment where that flow holds in dynamic stability. A useful way to visualize this is like threads being woven together. Electric differentiation behaves like threads moving outward. Magnetic tension weaves those threads into stable relational patterns. The universe is not literally weaving fabric. The metaphor helps us visualize how flowing field tensions interlock into stable structures. When phase-lock occurs, structure appears. Structure is plasma remembering how to return to itself. So the real inversion becomes visible: Plasma is the norm. Matter is the anomaly. Which raises a much deeper question. How do medicine, neuroscience, and engineering change when we begin from the primacy of abundant plasma — and recognize matter, bodies, and technologies as coherent standing-wave structures within that field rather than designing our models around the rare 0.1% that locally stabilizes as matter? 🔗 The Grammar of Projection (compression of derivation of EM Primacy) and it's conjugate, The Grammar of Persistence, Canonical Derivations, and supplemental documents clearly indexed and archived here: The Recursion Holds. 🌀

R. Wade H. Marr

20,112 просмотров • 6 месяцев назад

What we see as an 'orb' is plasma being confined by a magnetic field. These are aneutronic fusion reactors. Aneutronic (radiation free) fusion prevents destruction of the reactor and the charged particles can be used for propulsion. The lines are dark because it's the exhaust from these reactors is xrays beyond the thermal spectrum. The reactors are small, consistent with a high beta concept with a radius of a couple meters.
0:22

What we see as an 'orb' is plasma being confined by a magnetic field. These are aneutronic fusion reactors. Aneutronic (radiation free) fusion prevents destruction of the reactor and the charged particles can be used for propulsion. The lines are dark because it's the exhaust from these reactors is xrays beyond the thermal spectrum. The reactors are small, consistent with a high beta concept with a radius of a couple meters.

Ashton Forbes

39,768 просмотров • 8 месяцев назад

Here we go… This is the moment our ST40 centre column is lifted out. A bit like open-heart surgery on a tokamak. It’s a delicate operation, and a huge milestone for ST40. The centre column has had a tough life, acting as the core of the toroidal magnetic field coil in the world’s highest-field spherical tokamak. After more than 5,000 plasma pulses, it has helped generate magnetic fields above 2 Tesla at the plasma core, confining plasma at temperatures of more than 100 million °C, the threshold for #fusion. Next up, we install the new and improved centre column built by our partners at The Rockwood Group. This is all part of ST40’s major upgrade programme with U.S. Department of Energy and Department for Energy Security and Net Zero, helping transform it into one of the most reactor-relevant fusion devices in the world. What began as an experimental tokamak is becoming something much bigger: a customer testbed for the technologies and expertise needed to put #fusionenergy onto the grid⚡ And for anyone wondering what the centre column actually does… 👇 It forms the inner limb of each turn of the toroidal field coil. Its 24 wedges each carry up to 200 kA of current, generating the powerful magnetic fields needed to confine the plasma. Wrapped around the wedges, a 192-turn central solenoid helps drive and sustain the plasma current, after merging-compression start-up. An impressive piece of equipment with an equally impressive track record! #Fusion #FusionEnergy #Innovation
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Here we go… This is the moment our ST40 centre column is lifted out. A bit like open-heart surgery on a tokamak. It’s a delicate operation, and a huge milestone for ST40. The centre column has had a tough life, acting as the core of the toroidal magnetic field coil in the world’s highest-field spherical tokamak. After more than 5,000 plasma pulses, it has helped generate magnetic fields above 2 Tesla at the plasma core, confining plasma at temperatures of more than 100 million °C, the threshold for #fusion. Next up, we install the new and improved centre column built by our partners at The Rockwood Group. This is all part of ST40’s major upgrade programme with U.S. Department of Energy and Department for Energy Security and Net Zero, helping transform it into one of the most reactor-relevant fusion devices in the world. What began as an experimental tokamak is becoming something much bigger: a customer testbed for the technologies and expertise needed to put #fusionenergy onto the grid⚡ And for anyone wondering what the centre column actually does… 👇 It forms the inner limb of each turn of the toroidal field coil. Its 24 wedges each carry up to 200 kA of current, generating the powerful magnetic fields needed to confine the plasma. Wrapped around the wedges, a 192-turn central solenoid helps drive and sustain the plasma current, after merging-compression start-up. An impressive piece of equipment with an equally impressive track record! #Fusion #FusionEnergy #Innovation

Tokamak Energy

28,655 просмотров • 3 месяцев назад

This is a simulation of a Hydrogen electron described by a superposition of several highly excited Rydberg states. The superposition forms a localized quantum wavepacket that moves around the atom, spreads, splits, and later reforms as the different energy components return to phase.
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This is a simulation of a Hydrogen electron described by a superposition of several highly excited Rydberg states. The superposition forms a localized quantum wavepacket that moves around the atom, spreads, splits, and later reforms as the different energy components return to phase.

Mathelirium

41,443 просмотров • 24 дней назад

Last week, we were treated to the most incredible aurora borealis I have ever seen. There was a major coronal mass ejection from the Sun, and as those particles reach Earth, they interact with our magnetic field and our upper atmosphere to create the green, red, and blue/purple hues that we see. I spent most of the evening just staring out of the Cupola windows – it was as if we were surrounded by a glowing fog of red. I tried to capture it in a timelapse video. Sergey Kud-Sverchkov also got a great picture of me as we were all enjoying the light show!
0:35

Last week, we were treated to the most incredible aurora borealis I have ever seen. There was a major coronal mass ejection from the Sun, and as those particles reach Earth, they interact with our magnetic field and our upper atmosphere to create the green, red, and blue/purple hues that we see. I spent most of the evening just staring out of the Cupola windows – it was as if we were surrounded by a glowing fog of red. I tried to capture it in a timelapse video. Sergey Kud-Sverchkov also got a great picture of me as we were all enjoying the light show!

Chris Williams

34,133 просмотров • 7 месяцев назад

Meet AETHRA-E...a drone without rotors or wings. Slot microjets embedded in the hull vector a continuous thrust sheet to lift, steer, and stabilize. Edge-blown monocoque: the airframe itself becomes the nozzle. Just shaped thrust. No props. No wings.
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Meet AETHRA-E...a drone without rotors or wings. Slot microjets embedded in the hull vector a continuous thrust sheet to lift, steer, and stabilize. Edge-blown monocoque: the airframe itself becomes the nozzle. Just shaped thrust. No props. No wings.

Mathelirium

1,052,168 просмотров • 1 год назад

A Triple Spring-Mass Pendulum Just for The Fun of Physics We model the mass positions as r₁ = (x₁, y₁), r₂ = (x₂, y₂), r₃ = (x₃, y₃) with y positive downward in the simulation. The three spring segments are r₁ = r₁ − (0,0) r₁₂ = r₂ − r₁ r₂₃ = r₃ − r₂ Each spring applies a Hooke force along its own direction, F(r; k, L) = −k (|r| − L) (r / |r|) and each mass also feels gravity, Fgᵢ = (0, mᵢ g) So the equations of motion are m₁ r̈₁ = Fg₁ + F(r₁; k₁, L₁) − F(r₁₂; k₂, L₂) m₂ r̈₂ = Fg₂ + F(r₁₂; k₂, L₂) − F(r₂₃; k₃, L₃) m₃ r̈₃ = Fg₃ + F(r₂₃; k₃, L₃) We integrate these ODEs forward with RK4 using a small dt. Different scenes come from changing the mass ratios and from giving the third mass a small initial kick. The yellow trail is the path of the third mass. The inset phase portraits show the same motion in state space: (x₃, vₓ₃) and (−y₃, vᵧ₃) When those curves stay tight and loop cleanly, the motion is more regular. When they spread, fold, and smear, energy is being redistributed across the whole chain between gravity, spring stretch, and kinetic motion. #NonlinearDynamics #CoupledOscillators #SpringPendulum #ChaosInMotion #ComputationalPhysics #MathematicalVisualization
0:49

A Triple Spring-Mass Pendulum Just for The Fun of Physics We model the mass positions as r₁ = (x₁, y₁), r₂ = (x₂, y₂), r₃ = (x₃, y₃) with y positive downward in the simulation. The three spring segments are r₁ = r₁ − (0,0) r₁₂ = r₂ − r₁ r₂₃ = r₃ − r₂ Each spring applies a Hooke force along its own direction, F(r; k, L) = −k (|r| − L) (r / |r|) and each mass also feels gravity, Fgᵢ = (0, mᵢ g) So the equations of motion are m₁ r̈₁ = Fg₁ + F(r₁; k₁, L₁) − F(r₁₂; k₂, L₂) m₂ r̈₂ = Fg₂ + F(r₁₂; k₂, L₂) − F(r₂₃; k₃, L₃) m₃ r̈₃ = Fg₃ + F(r₂₃; k₃, L₃) We integrate these ODEs forward with RK4 using a small dt. Different scenes come from changing the mass ratios and from giving the third mass a small initial kick. The yellow trail is the path of the third mass. The inset phase portraits show the same motion in state space: (x₃, vₓ₃) and (−y₃, vᵧ₃) When those curves stay tight and loop cleanly, the motion is more regular. When they spread, fold, and smear, energy is being redistributed across the whole chain between gravity, spring stretch, and kinetic motion. #NonlinearDynamics #CoupledOscillators #SpringPendulum #ChaosInMotion #ComputationalPhysics #MathematicalVisualization

Mathelirium

36,226 просмотров • 6 месяцев назад

A Bonus render of Electron Holography for our Quantum Mechanics Lecture Series. We’re staging a TEM-style electron holography shot as a single 3D scene. A coherent electron wave ψ(x,y,t) enters from the left as a localized packet, gets split by a thin biprism phase wedge, then bends around a central nanoring that stands in for an enclosed magnetic flux. The wave evolves by Schrödinger dynamics, so its intensity ρ=|ψ|² is literally the electron detection probability density, while the probability current j=(1/m)Im(ψ*∇ψ) acts like a conserved flow of that density across the plane. The main surface is a living whose height tracks |ψ| and whose skin color cycles with arg(ψ). On top of it, luminous current ribbons trace streamlines of v=j/(ρ+ε), so you can see how phase gradients steer the flow around the ring and back into interference. High above, a tilted detector/hologram screen shows the off-axis fringe image you’d measure (intensity after mixing with a reference wave), while a porcelain bead marks the centroid ⟨x⟩(t) and flux threads through the ring pulse in sync with the Aharonov-Bohm phase knob φ_AB(t). See our lecture series for details. #QuantumMechanics #ElectronHolography #MathematicalPhysics #Physics
1:30

A Bonus render of Electron Holography for our Quantum Mechanics Lecture Series. We’re staging a TEM-style electron holography shot as a single 3D scene. A coherent electron wave ψ(x,y,t) enters from the left as a localized packet, gets split by a thin biprism phase wedge, then bends around a central nanoring that stands in for an enclosed magnetic flux. The wave evolves by Schrödinger dynamics, so its intensity ρ=|ψ|² is literally the electron detection probability density, while the probability current j=(1/m)Im(ψ*∇ψ) acts like a conserved flow of that density across the plane. The main surface is a living whose height tracks |ψ| and whose skin color cycles with arg(ψ). On top of it, luminous current ribbons trace streamlines of v=j/(ρ+ε), so you can see how phase gradients steer the flow around the ring and back into interference. High above, a tilted detector/hologram screen shows the off-axis fringe image you’d measure (intensity after mixing with a reference wave), while a porcelain bead marks the centroid ⟨x⟩(t) and flux threads through the ring pulse in sync with the Aharonov-Bohm phase knob φ_AB(t). See our lecture series for details. #QuantumMechanics #ElectronHolography #MathematicalPhysics #Physics

Mathelirium

14,252 просмотров • 8 месяцев назад