Recent content by greswd

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    Undergrad The best ways to display a map of non-Euclidean 3-D space?

    let's say we're trying to convey the locations of all the features in the universe, their locations in 3-D space kinda like a globe (although its a 2-D surface)
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    Undergrad The best ways to display a map of non-Euclidean 3-D space?

    and maybe the best way to teach non-Euclidean geometries is to use mock maps
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    Undergrad The best ways to display a map of non-Euclidean 3-D space?

    You might have seen such a 3-D map of the stars before: And I was wondering about a 3-D map if space was non-Euclidean, what would be the best ways to display it. To keep it simple, if you're considering elliptic space, you can consider the entire "global" map. Just like we have world maps of...
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    Undergrad Is there research on 4D wave propagation in 3D solids?

    miss PBS Infinite Series lol
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    Undergrad Solving the EM field equations to produce the desired vector field

    oh nice, i would like a general solution
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    Undergrad Solving the EM field equations to produce the desired vector field

    does this mean like every single potential which is Lorenz gauged
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    Undergrad Solving the EM field equations to produce the desired vector field

    ahh yeah, for EM I guess it'd have to drop to zero at infinity so you think an analytical solution might be out of reach?
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    Undergrad Solving the EM field equations to produce the desired vector field

    So, we have A, the magnetic vector potential, and its divergence is the Lorenz gauge condition. I want to solve for the two vector fields of F and G, and I'm wondering how I should begin##\nabla \cdot \mathbf{F}=-\nabla \cdot\frac{\partial}{\partial t}\mathbf{A} =-\frac{\partial}{\partial...
    • greswd
    • Thread
    • Electro Em Field field equations Vector Vector field
    • Replies: 8
    • Forum: Classical Physics
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    Undergrad What's the name of a 2-torus looped in the 4th dimension?

    Seems like it. Is it the simplest way to form a torus free from compressing and stretching in the 4th dimension?
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    Undergrad What's the name of a 2-torus looped in the 4th dimension?

    slivers meaning just infinitely thin flat planes remaining in 3D space? If a straight tube is bent into a torus, the inner (red) region will be compressed, while the outer (blue) region will be stretched. But if the loop is made in the 4th dimension, neither region will be compressed nor...
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    Undergrad What's the name of a 2-torus looped in the 4th dimension?

    sorry, can you elaborate on this? thanks
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    Undergrad What's the name of a 2-torus looped in the 4th dimension?

    To form a 2-torus, a narrow tube can be bent into a loop and joined end to end: But instead of forming this loop in our three-dimensional space, the loop can also be formed in a direction perpendicular to three-dimensional space, moving it into the fourth dimension of space. What's the name of...
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    Undergrad Possible illogicalness of a 3-sphere shape of the Universe's space?

    @Ibix as I'm unclear on how to proceed, I'm looking at another example which has a nice infinite map, that of the torus. above I've posted the infinite map for Pac-Man on a torus. Its a modified Pac-Man, while the 1979 game Asteroids is originally toroidal.
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    Undergrad The Cosmological Principle and the Universe

    what about a 3-torus?
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    Undergrad The Cosmological Principle and the Universe

    wouldn't the ratio be the odds of the guess being correct? And just asking on what one might think the odds are