Could there be some system of units such that all fundamental constants are 1? The fundamental constants in physics have extremely low values because of our scale compared to fundamental particles. Could there be such a system of units such that all fundamental constants are 1?
 A: No, I don't believe there can (although this depends which physical constants you include).
The problem is that there are fundamental physical constants like the fine structure constant $\alpha$ that are dimensionless and have the same numeric value ($\alpha \simeq 1/137$) in all systems of units.
Since $\alpha$ can be expressed in terms of a combination of the speed of light, Planck's constant, the permittivity of free space and the electric charge, then it isn't possible to set all of these to unity simultaneously. For example, in Planck units, where $\hbar =G= c = (4\pi\epsilon_0)^{-1}= 1$, then $\alpha = e^2$, which thus defines the electric charge to be $\sqrt{\alpha}$.
There are other dimensionless coupling constants, such as the gravitational coupling constant $\alpha_G$ that involves $G$, the mass of an electron, the speed of light and Planck's constant. Even in Planck units you still have something left over that must be given a non-unity value; in this case the electron mass, such that $m_e =\sqrt{\alpha_G}$.
A: no it can not be possible because we define a constant by a basic equation and the same thing can be included in other fundamental constant equation so all constants can not be one
