You make a good point, and gained my interest when you mentioned "instantaneous travel". Congratulations, you have come one step closer to the solution. But, you should delete the idea of a 'singularity computer' and 'dimensional machine'. Neither exist. Maybe focus your studies more directly upon the gravitational effects of magnetic vortices, generated by the sun, which interact with Earth's core (and some of which penetrate to the surface). You may think of these occurrences as the catalyst. Otherwise, you will also be required to need a sound awareness, and fully-functional mental facilities (as consciousness is part of the process, otherwise, without awareness, nothing exists). Another required process that must be developed is the ability to manipulate and control (within the confines of a prescribed model) the base tuning of the substrate. I think you probably know this idea as 'string theory' or something similar. Surprisingly, once the concepts are more fully understood, the process of what you know as 'time travel' is incredibly easy to achieve. Based on the current model (the Torus model), 'time travel', at least in reverse, is fairly easy to conduct, without a great deal of expended energy. The key lies in several as of yet undiscovered ideas and processes which will provide not only for a realistic experience, but also the transfer of valid information, at least in the negative field (as of this writing).
One last note: You are partially correct in your statement that you can't change the future. That is not possible, as what does not yet exist, does in fact, not exist. The propagation of existence may be described crudely as 'passage of time', but in reality this is not the case either. There exists no 'time', only the steady state model of unified existence. Moving very fast does not effectively propel one significantly into the 'future', and, is impractical and probably not even possible.
Changing the "present" is also not an option, as no exact "present" moment may be measured. This concept is antiquated and of no value to the thinker.
Changing the "past", while theoretically possible, has proven to also be impossible, or at least un-observable. Experiencing the "past", however, is quite possible, along with information transfer, bi-directionally in many cases. But, interestingly, when the experiment concludes, no direct information transfer has ever been observed to have been returned. Therefore, bi-directional information transfer, at this point of our understanding, is only achievable during the project, and not upon return (excepting for photographic evidence). Photographic evidence only proves phase-shifting and while highly important to the research, does not provide direct transfer of information, even if the photo includes some type of language imagery which seems to indicate a type of information transfer, but not directly so.
