A dimensional analysis of the Genesis equation.
The Genesis equation is: E = (u/k)c
The very definition of an equation is that whatever is to the left of the equal sign must be the same as whatever is to the right. Therefore, it must have the same units.
The left-hand term of the equation is E, or energy, so the units of E are kg (m/s)*2. That must also be the units of the right-hand side.
u is defined as the product of mass and the speed of light, c, and the units of mass is kg and c is m/s. So the units of u are kg(m/s).
k is defined as kinetic energy, and the units of energy, as we have shown above, are kg (m/s)*2.
And c,, as we have shown, is a speed, the units are m/s.
So substituting all the units of the equation: kg(m/s)*2 = [kg(m/s) / kg(m/s)*2]/(m/s)
And simplifying: kg(m/s)*2 = [ 1/(m/s) ] / (m/s) = (m/s)/(m/s) = 1
So the right hand side of the equation is NOT in the units of Energy, it is dimensionless.
So the equation is not just wrong, it is meaningless. That is, it does not represent something that is false, it doesn’t represent anything at all.