Why is the metric used in physics a squared norm?
113024
Can I use a higher rank tensor field as the metric field?
664
Minkowski's complex Euclidean space vs. the real pseudo-Euclidean version
57239
Why is energy in a wave proportional to amplitude squared?
54685
Defining metrics as a function to something other than the reals.
11773
Levi-Civita connection between conformal metrics
96283
Finding the metric tensor from the Einstein field equation?
128598
How to prove this is a metric?
115190
Why is physical space equivalent to $\mathbb{R}^3$?
134131
Squared norm of matrix equal to squared norm of its transpose
69031
Square of angular momentum operator in spherical coordinates
35291
How to show $d(x,y)= \sqrt{d_1(x_1,y_1)^2+d_2(x_2,y_2)^2}$ is a metric?
64674
Intuitive explanation of the inverse square power $\frac{1}{r^2}$ in Newton's law of gravity
89311
$r$ and $R$ difference with Schwarzschild metric
39763
Proving left-invariance (and proof-verification for right-invariance) for metric constructed from left-invariant Haar measure
78108
Do these define metrics on $\mathbb{R}$?
113516
Why can we only add or subtract things of the same dimension (meters/second, newtons, etc)?
21259
The distance square in the Newton's law of universal gravitation is really a square?