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4h
comment If something is not moving in space, is it moving on the time axis at the speed of light?
Fair enough @Ben Crowell. I think I first heard this statement in Greene's The Elegant Universe. It's interesting that "light doesn't age" seems to be used more regularly than "objects at rest move through time at the speed of light," when in some sense they're on equal footing. Agree / disagree?
5h
revised If something is not moving in space, is it moving on the time axis at the speed of light?
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17h
awarded  Informed
1d
answered If something is not moving in space, is it moving on the time axis at the speed of light?
Oct
16
revised Finding out time $t$ when a particle is more likely to be on the right half than the left half of the box
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Oct
16
answered Finding out time $t$ when a particle is more likely to be on the right half than the left half of the box
Oct
16
revised What is the significance of clamping the center of the spring?
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Oct
16
answered What is the significance of clamping the center of the spring?
Oct
15
revised Linearization of equation of oscillatory motion
using latex for mathematical expressions
Oct
15
suggested suggested edit on Linearization of equation of oscillatory motion
Oct
15
revised Linearization of equation of oscillatory motion
latexed equation
Oct
15
suggested suggested edit on Linearization of equation of oscillatory motion
Oct
15
revised Normalization of a wavefunction that's superposition of two unknown energy eigenfunctions
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Oct
15
answered Normalization of a wavefunction that's superposition of two unknown energy eigenfunctions
Oct
14
revised Set of orthotogonal complex functions
I have never seen the Kronecker delta written $\delta\left(m-n\right)$ instead of $\delta_{mn}$.
Oct
14
suggested suggested edit on Set of orthotogonal complex functions
Oct
13
revised The Delta-Function Potential
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Oct
13
answered The Delta-Function Potential
Oct
11
answered Potential due to a continuous charge distribution on ring
Oct
10
comment Frequency of Oscillations about Circular Orbit
The Taylor expansion of $U_{eff}\left(r\right)$ is $U_{eff}\left(r_*\right) + k_{eff} \left(r - r_*\right)^2 / 2 + O\left(r^3\right)$ (since $dU_{eff}/dr$ at $r_*$ is $0$), where $k_{eff} = d^2U_{eff}/dr^2$ evaluated at $r=r_*$ is an effective spring constant. If that's not clear, note that $F_{eff}\left(r\right) = -dU_{eff}/dr = - k_{eff} \left(r-r_*\right) + O\left(r^2\right)$. The angular frequency of small oscillations is then $\left(k_{eff}/m\right)^{1/2}$.