From the post "Pressure, Energy Per Unit Vol" dated 12 Dec 2017,
\(P=\cfrac{2}{3}\rho_n*\cfrac{4}{3}\pi{(2c)^3}*\cfrac{1}{2}m_av^2_{rms}\)
but,
\(\rho_n=\cfrac{dn_s}{df}=\cfrac{8\pi}{c^3}f^2\)
so,
\(P=\cfrac{2}{3}*\cfrac{8\pi f^2}{c^3}*\cfrac{4}{3}\pi{(2c)^3}*\cfrac{1}{2}m_av^2_{rms}\)
\(P=\cfrac{8^3}{9}\pi^2* f^2*\cfrac{1}{2}m_av^2_{rms}\)
We have just mix wave and particles which would make sense only if \(v_{rms}=c\), in the time dimension, where the particles are photons. In the time dimension, one particle occupies the time volume,
\(Vol_{time}={T^3}=\cfrac{1}{f^3}\)
per unit time volume per particle is,
\(per\, time\, volume, particle=\cfrac{1}{T^3}=f^3\)
density per particle volume in the time dimension,
\(\rho_n=1\)
and
\(E=m_ac^2\)
So,
\(P=\cfrac{8^3}{18}\pi^2*f^2*m_ac^2=1*f^3*m_ac^2\)
only if,
\(f=\cfrac{c}{\lambda}=\cfrac{8^3}{18}\pi^2=280.73541407543064515\)
where in the time dimension all entangled particle in a spherical volume of radius \(r=2c\) is considered a single particle; a photon at light speed. And total energy within such a volume/entity is conserved between the time and space dimension.
If we define \(\lambda=10^{6}\) then
\(c=280735414.07543064515\)
or
\(c=\cfrac{8^3}{18}\pi^2*10^{6}\)
If \(c=299792458\), then
\(\lambda=1.0678825790017675793e6\)
which is just nonsense because light speed is just fine defined as \(299792458\,ms^{-1}\). What about
\(f=280.73\,Hz\) ???
What happened when you flash photons (light at whatever wavelength) at this frequency at someone? This frequency engage all entangled photon within the spherical volume \(r=2c\). Do photons start oozing from the time dimension? All such photons are entangled.
Total nonsense...
