Interesting thread. I basically agree that time travel is only possible in an astral sense. There are some misconceptions...
First, particles can travel faster than the speed of light. On Earth, light does not travel at 186,000 miles per second. In water, it travels even slower. So it's possible to accelerate a particle faster than the speed of light in a medium where light travels considerably slower than c. When this happens, a magnificant blue or green glowing light emerges and is equivalent to a visible shock wave. It's quite intense -
Time is really the difference between chaos and harmony. It may sound like a simplistic definition, but consider that scientists view time as entropy, or as energy being disorganized through heat. This means they view the world as constantly progressing towards chaos (2nd law of thermodynamics). I highly disagree with this, as the purpose of anyone's life is to create more stability, and that purpose is shared by the universe. Plus you can see this in particle accelerators. Particle physics is actually a legitimate hoax created by physicists who dreamt up explanations of why a pion turns into a muon and then an electron. A glimpse of an omega, a tauon, a muon or such particle is simply a flash back in time.
As for the mind, it technically operates at reverse time or negative entropy. It exists in a constant state of macroscopic quantum coherence. There is no speed of thought, because one thought can be slow while 1000 thoughts in the same quantum wave function is both 1 and infinite at the same time. It is the idea of silience of the mind, focus, or left-right brain synchronization. Electric current is very slow, normally it barely moves at all.
For the acceleration comment, you must first eliminate acceleration (and thus friction) to be able to physically exceed the speed of c in a vacuum. Eliminating acceleration is a key to opening Pandora's box.
Finally, the big bang theory is not inoperable in quantum physics. People think of quantum physics as some mystical phenomenon that is only recent. It's not. Understanding of quantum mechanics is what proved the Big Bang. Furthermore, the speed of light is not a limit, rather it is a divider. Most importantly, everything I am saying is supported by religion/spirituality.
Prior to the Big Bang, there was no time and All That Is existed as 1. Creation was the act of sharing the infinite light with itself. In order to do so, part of the infinite had to condense into form, to create a vessel to receive light. This is when the Godhead condensed, which is literally a roadmap back to the source. At the beginning, the universe was full of dense, chaotic energy, which as it spread out became more coherent and stable. This was the beginning of time. Their is no end of time, only infinite time.
This is when we have reached an ultimate balance between form and source, a state of universal superconducting fields (where the Godhead leads us). In this reality, electrons may exist at a more evolved state with a cosmic bosonic nature. It would be mind induced molecular manufacturing on an intense and interactive level. A Kundalini awakening of the universe; a realization that we are much more than you or I.
This world would be like a constant shifting of unified quantum wave functions, where thoughts are the construct of perception and physical reality. Heaven isn't in the stars, it's in our mind and on Earth.