Hello everyone. Until recently, I have been having very vivid dreams which were quite troubling. Each night I go to sleep and dream that I am Einstein teaching general relativity theory. In my dreams I see one equation repeatedly and I wish to share it with you. I believe God has shown me the truth and here I will help you learn it.

The general idea is that we can derive much of the previous relativity theories by beginning with the following definition of time, where:

<span class="math">t:=\int_{P} E(x)dx[/spoiler]

That is; time is defined to be the sum (integral) of energy present (contributed by vector or scalar fields) along a path P in some Riemannian manifold.

I believe this definition immediately implies the constancy of the speed of light, and hence special relativity. Furthermore, it explains exactly why an electron and a proton do not spiral into one another in the atomic nucleus. (N.B - the gravitational reason for this is clear)

I would like to hear arguments against this definition of time, I have not had much time to work out the mathematical theory, so any critique mathematical, physical or philosophical will be considered.