Hi Harry, > Is y = xa^2 not an equation? > Yes, it is the equation of a straight line with slope a^2.
Of course, it is an equation. All the variables are truly variables and have the same dimension of one. Do you really think that E=mc^2 is the equation of a straight line with slope c^2? Are you implying that because y=xa^2 is an equation that p=ac^2 is an equation where p is pressure, a is acceleration, and c is the speed of light? When you arbitrarily change variables to constants and assign specific dimensions to other variables, you end up with completely different expressions. In the case where y and x are given specific dimensions, those dimensions have specific implied values, depending upon the system of units used. For example, in the MKS system of units: joule = kilogram * (meter/second)^2 You cannot then arbitrarily change the unit values for meters per second to a different value and still have an equality. Once you assign a constant to one of the variables, which is not consistent with the system of units being used, the other variables cannot maintain their dimensions within the equation. You end up with: y = xc^2 You cannot reference y as energy or x as mass. Since c was arbitrarily chosen, x and y are now also arbitrary. You would need a system of units where v^2 = c^2, such as in the Aether Physics Model's quantum measurements units, in order have a dimensional equation involving c^2. True, there are many situations that will work as though x is mass and y is energy, but it is not a mathematical certainty. Therefore, it is possible for many applications of E=mc^2 to appear to be valid, but there are also applications for where it is not. Dave
