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### Why are so many forces explainable using inverse squares when space is three dimensional?

It seems paradoxical that the strength of so many phenomena (Newtonian gravity, Coulomb force) are calculable by the inverse square of distance. However, since volume is determined by three ...
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### How can we be so sure the universe has 3 dimensions?

I'm just a layman here so please bear with me if I don't get all the words or theories by correct name or whatever. I hope it will be clear enough what my question is. Here goes: When I read articles ...
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### Why does the universe exhibit three large-scale spatial dimensions? [duplicate]

Possible Duplicate: Is 3+1 spacetime as privileged as is claimed? Regardless of your favorite theory of how many dimensions the universe has in total, the universe seems to have a deep preference ...
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### Proof of Coulomb's law in two and higher dimensions

I have found that the Coulomb force in two dimension varies with $\frac 1 r$: $$\tag{2}F=\frac{1}{2\pi\epsilon}\cdot\frac{q_1q_2}{r}$$ But I was not able to prove it. I think ...
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### What could we observe if we see a 4 dimensional object and how could it change our physics view about our universe?

My question is little bit philosophical. I would like to explain my ideas with a 2 dimensional universe model. If we had lived in 2 dimensional universe like a plane, What could we observe when ...
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### Will Gauss's law still hold in case of deviation from inverse square law?

Assume a spherical metallic shell over which a charge $Q$ is distributed uniformly. Applying Gauss's law $\displaystyle\oint\textbf{E}\cdot d\textbf{a}=\frac{Q_{\text{enc.}}}{\epsilon_0}$ by ...
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### References on how dimensionality relates to inverse square laws

https://en.wikipedia.org/wiki/Spacetime#Privileged_character_of_3.2B1_spacetime Does Coulomb's Law, with Gauss's Law, imply the existence of only three spatial dimensions? Why are so many ...
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### Why is Coulomb's law is an inverse square law? [duplicate]

I read about Coulomb's law it says the force of attraction or repulsion between two charges is inversely proportional to the square of the distance between them. So generally if I say then Coulomb'...
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### What is the significance of the Inverse-square law? [duplicate]

Considering its occurrences in various fields like Electrostatics, Gravitation, Acoustics etc. how does the law bind these topics together?
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### Why do spherical waves diminish as 1/$r^2$?

Seeing the derivation of a plane wave in Giancoli, I can't understand why a spherical wave would diminish in amplitude. Shouldn't the peaks still be mutually induced, and therefore nondiminishing?
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### Is there a higher-level reason why $\nabla\cdot(\hat{\bf r}/r^2) = 0$ in three dimensions but not two? [duplicate]

I am working through Griffiths, Introduction to Electrodynamics, and finding the divergence of the electric field generated by a single charge sitting at the origin. \mathbf{E}(\mathbf{r}) = \frac{\...
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### Inverse Square Law and extra space dimensions

Newton's famous Inverse Square Law says that in $n=3$ dimension of space, force is inversely proportional to the square of the distance between a source and a target. I understand that for higher ...
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### Why Coulomb's law goes with inverse of square radius?

I've seen many similar questions, but none of them were appropriated to me. I was reading about an answer that used the Gauss' law. I don't think that's wise because, of course, the electrostatic ...