Error in Einstein's Equation?

What if I posit that Einstein was wrong? That the relationship between mass, energy and speed is not E = mc^2 ? What if I claim that the Einstein’s equation in all its beauty is realy an approximate for a more interesting Equation:


E   = α . m. c^β

Where  α is  some mass related value whose definition I do not currently know and β is another value. What if I continue by claiming that both values may be constants for certain systems, but not necessarily constant for all systems? Also what If I claim that the values of 1 and 2 are indeed close approximates for the earth but not necessarily 1 and two?

What if I take my claim further by saying these values may not even be constants across the earth , but that the differences for different subsystems that we observe are so unidentifiable by existing technologies that we hardly notice them?

How will this affect ‘basic’ physics constraints such as Energy can only be transformed from one form to the other, but can neither be created nor destroyed?

That matter like its paradox energy is neither creatable nor destroyable?

How will this affect the concept of the speed of light as the ultimate speed after which matter must be transformed? What if there is no ultimate value for speed.

In the interim, will it be clearer if I define some relationship between c and  β such that  c = g(β) where g() is a decreasing function such that we tend to see a convergence of these values into a constant?

This claim will be considered un-substantiatable by many and an heresy by others? But I do not believe in Einstein’s results wholesale. I consider them to be very good approximates for the phenomena that we have been able to investigate today, but the search for reality still evades us. We are still short of the full story, just like Darwin was short of the full story.