We can assume that there 2 particles with no mass for each of theme but they are separated by displacement D measured by meter as shown in the figure
Now both particle typically doesn't interact as
F = k (m1 x m2) / D2 ………………… gravitation law for
So
F = Zero
The best example for 2 zero mass particles is the photon (particle who carry the electromagnetic wave) both of these particle have the same phenomena, but they interact without any media between theme as electromagnetic theory say now this interact can be described as the following formula say:
E = hν ………. The total energy carried by the both particles
Now
F= - d(E) / dr . …………………. Which dr can replacement by dD
And now we can talk that ν is variable with λ (wave length) and imagen that the both photon move in the same speed and the both wavelength separated by distance D approaches to λ however we can write :
F= - d(E) / dλ
And we can write E= hν = h (C/λ)
So
F= - d(Ch/λ) / dλ = -Ch * ((d/dλ)(1/ λ))
F= Ch/ λ2
From the debroli formula we can get
λ =h/P
λ = h/m.c
so
F= C*P2 ………..but F= (dP/dt)
And for any particles move in speed V the force will be
F= V*P2
