Absurdity of Small Planck Constant, Length and Time

                   
                       Absurdity of modern physics as quantum foam and strings of Planck length.

Starting from Planck's (reduced) constant $\bar h\approx 10^{-34}$, the Planck length $l_p$ and Planck time $t_p$ are defined by

• $l_p =\sqrt{\frac{\bar hG}{c^3}}\approx 1.6\times 10^{-35}\, m$, 
• $t_p = \sqrt{\frac{\bar hG}{c^5}}\approx 5.3\times 10^{−44} s$,

where $G$ is the gravitational constant and $c$ the speed of light. Wikipedia tells us the following limits of modern physics:

• The Planck length is about $10^{-20}$ times the diameter of a proton, and thus is exceedingly small.
• The Planck length sets the fundamental limits on the accuracy length measurement.
• Planck time is the time it would take a photon traveling at the speed of light to cross a distance equal to one Planck length. 
• Theoretically, this is the smallest time measurement that will ever be possible, roughly $10^{−43}$ seconds.

The relation of the Planck length to the size of the proton is about the same as the diameter of golf ball to the size of a galaxy. 

Planck length and time is the scale of string theory. The goal of string theory is to explain the origin of gravitation with a change of scale of $10^{60}$, and to explain the origin of the Universe starting from Big Bang at time $10^{-43}$. 

All this absurdity comes from an absurdly small Planck's constant $h = 6.626\times 10^{-34}$. To see clearly see the absurdity, recall that Planck's constant enters Planck's radiation law

• $R_\nu (T)=\gamma\nu^2T\times \theta(\nu ,T)$,

where $R_\nu (T)$ is radiated energy per unit frequency, surface area, viewing angle and second, $\gamma =\frac{2k}{c^2}$ where $k = 1.3806488\times  10^{-23} m^2 kg/s^2 K$ is Boltzmann's constant and $c$ the speed of light in $m/s$, $T$ is temperature in Kelvin $K$, only in the high-frequency cut-off factor

• $\theta (\nu ,T)=\frac{\alpha}{e^\alpha -1}$, 
• $\alpha=\frac{h\nu}{kT}$,

where $\theta (\nu ,T)\approx 1$ for $\alpha < 1$ and  $\theta (\nu ,T)\approx 0$ for $\alpha > 10$. In other words, the relevant quantity in Planck's law is not the absurdly small $h$, but instead

• $\hat h\equiv\frac{h}{k}= 4.8\times 10^{-11}$, 

which is to be compared with $\frac{T}{\nu}$ and thus with the dependence on $\nu$ connects to atomistic dimensions. The relevant Planck constant $\hat h\approx 10^{-10}$ thus has a physical meaning, while the conventional Planck constant $h\approx 10^{-33}$ can only represent fiction.

The idea of a quantum of energy as a smallest possible quantity (as well as particle) is absurd. The idea of a quantum of energy which is absurdly small, is doubly absurd.