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Results tagged with absolute-units
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user 207910
Absolute units, or natural units, are a system of units where certain dimensionful constants are set to 1. This often simplifies various formulae.
5
votes
How to rigorously put back dimensions in equations involving natural units?
It is tricky!
Let's see what happens in the example you asked about. The starting point is
$$
x^{'} = \dfrac{x-vt}{\sqrt{1-v^2}}. \tag1
$$
From the denominator on the right hand side we deduce that $v …
- 61.8k
24
votes
Accepted
Isn’t natural units prone to mistakes?
You are quite correct that the use of natural units removes a useful method for detecting errors.
This is an example of a more general concept in information theory. If you use the minimum number of s …
- 61.8k
8
votes
Is the exact definition of the Planck units important?
I think it's all just order-of-magnitude stuff and factors of $\pi$ etc. are unimportant, but would be happy to be corrected.
Having said that, if someone defined a Planck time $t_p$ and then defined …
- 61.8k
2
votes
Why don't we take the universal gravitational constant $G$ to be equal to 1 in $F= \frac{Gm_...
Ok let's try it. Say mass $m_1 = 1000$ kg is at distance $1$ metre from mass $m_2 = 0.5$ kg. How will mass $m_2$ move?
With $G=1$ the force on it is $F = m_1 m_2/r^2 = 500$ newtons. So the acceleratio …
- 61.8k
2
votes
Is my friend right about omitting $c^2$ in world famous tiny equation?
Your friend was more wrong than right, as others here have said. I am just adding some thoughts that emerged after long experience with relativity. This becomes a question of practicalities. Basically …
- 61.8k