From the previous post "Time Travel Made Easy",
\(\Delta_t=\cfrac{1}{mc^2}(\cfrac{\partial\,t_{gi}}{\partial\,t}E_{\Delta h}+t_{gi}\cfrac{\partial\,E_{\Delta h}}{\partial\,t})\)
\(E_{\Delta h}\) occurs naturally as state transitions of a particle, sometime with the emission of a photon. Time travel is thus a natural process and happens all the time.
Such phasing in and out of time might be the root of Brownian motions. The key is the frequency of the random motion and the frequency of energy state transitions. If these phenomena are related, these frequencies are equal if not of the same nature, assuming that all \(E_{\Delta h}\) results in observable discrepancies in time and position.
Note: If there is a flash of light on time travel, photons are emitted and \(\cfrac{\partial\,E_{\Delta h}}{\partial\,t}\lt0\), the time travel direction is backward in time. If there is a flash of light on arrival from time travel, \(\cfrac{\partial\,E_{\Delta h}}{\partial\,t}\) is still negative, the time traveler is from the future.
\(E_{\Delta h}\) is the change in energy experienced by the particle, an external agent effecting such energy changes on the particle will have to do the opposite; absorb energy, the external agent itself gaining energy for the particle to have a negative \(\cfrac{\partial\,E_{\Delta h}}{\partial\,t}\).
