Linked Questions
16 questions linked to/from Maxwell in multiple dimensions: What happens to curl?
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What exactly are the Differential Forms in Maxwell's Equations? [duplicate]
While trying to understand Maxwell's equations (having learned a bit about manifolds) I encounter the following issue:
Gauss' Law seems to integrate the electric field $E$ over a $2$-manifold, ...
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5-dimensional electrodynamics [duplicate]
In the traditional 3+1 spacetime, Maxwell's equations také the following form:
$\nabla × \mathbf E = -\frac 1 c\frac {\partial \mathbf B} {\partial t}$
$\nabla \cdot \mathbf B=0$
$\nabla \cdot \...
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Do Maxwell's Equations overdetermine the electric and magnetic fields?
Maxwell's equations specify two vector and two scalar (differential) equations. That implies 8 components in the equations. But between vector fields $\vec{E}=(E_x,E_y,E_z)$ and $\vec{B}=(B_x,B_y,B_z)$...
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Does Coulomb's Law, with Gauss's Law, imply the existence of only three spatial dimensions?
Coulomb's Law states that the fall-off of the strength of the electrostatic force is inversely proportional to the distance squared of the charges.
Gauss's law implies that the total flux through a ...
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Why don't magnetic monopoles exist? [closed]
Electric monopoles do exist, but magnetic monopoles don't. Why?
The question is closed because I need to clarify it, but I don't know how I could ask it another way. However, I've recieved many ...
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How to define orbital angular momentum in other than three dimensions?
In classical mechanics with 3 space dimensions the orbital angular momentum is defined as
$$\mathbf{L} = \mathbf{r} \times \mathbf{p}.$$
In relativistic mechanics we have the 4-vectors $x^{\mu}$ and ...
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Basis for the Generalization of Physics to a Different Number of Dimensions
I am reading this really interesting book by Zwiebach called "A First Course in String Theory". Therein, he generalizes the laws of electrodynamics to the cases where dimensions are not 3+1. It's an ...
user87745
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Is it possible to generalize the Maxwell equations to higher dimensions?
The usual Maxwell equations are for 3 spatial dimensions, right?
Is it possible to generalize them to 2 spatial dimensions or 4 spatial dimensions?
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Why are there 4 Dimensions and 4 Fundamental Forces?
Is it a coincidence that there are four fundamental forces and four spacetime dimensions ? Does a universe with three spacetime dimension contain four fundamental forces? Can magnetism be realized in ...
PhysicsGuy
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Justifying Gauss Law in 1D
From Maxwell equations, Gauss Law read:
$\nabla\cdot\vec{E} = \rho/\epsilon_0$
Integrating this divergence over some volume and applying the Divergence theorem leads to:
$\int \vec{E}\cdot d\vec{S} = ...
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Maxwell's equations in differential form in 2-space+1-time dimensions
How does one write maxwell's equation in 2+1 dimensions? It becomes particularly interesting as the components of 2 forms and 1 form are 3. Are there any sources for this?
user183683
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Is curl of a vector a scalar quantity in 2 spatial dimensions? If it is so, then somebody help me understanding Maxwell's equations in 2+1 D
I have seen on wikipedia that in 2 spatial dimensions, Green's theorem, Gauss's divergence and Stokes theorems are equivalent and it makes sense. When I tried to write Maxwell's equations in 2+1 ...
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Electric potential energy in $1+1$-dimensional space-time
In $1+1$-dimensional space-time, Gauss's law implies that
$$\int\ \vec{E}\cdot{d\vec{A}}=\displaystyle{\frac{Q}{\epsilon_{0}}} \implies 2 E =\displaystyle{\frac{Q}{\epsilon_{0}}} \implies E =\...
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How to get $\vec{B}$ from $\vec{H}$ in hyperspatial ($n>3$) electromagnetism?
So I’m currently trying to formulate Maxwell’s equations in dimensions in other than 3 in order to improve my understanding of electromagnetism. In 3D, Maxwell’s equations can be described by
$$\begin{...
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Magnetic vector potential in 1+1 spacetime dimensions
In the theory of electromagnetism in 1+1 spacetime dimensions (one temporal and one spatial coordinate), one can define the 2-potential vector (analogous to the 4-potential vector in 3+1 spacetime ...