It's the rather trivial limit. I mean, it's pretty clear the limiting maximum for my walking speed is also the speed of light. Yet it's not useful to consider that detail when figuring out how long it will take me to walk to the store.
> Consider a single particle to have kinetic energy 1/2mv^2, and then allow for self replicating particles
That short summary appears to violate the conservation of energy. How does a self-replicating particle get the mass and energy to replicate a new particle, much less one with the same kinetic energy?
> its quite clear that all of the experimental evidence has tended to show that the human nervous system is capable of expending an exponential amount of energy in time
Can you point to any of the evidence? Especially evidence which shows it's unbounded? How can a human body produce 1 MW of power? (A simple estimate using the Stefan–Boltzmann law shows the body temperature would be over 1,000 degrees C.)
> Make an analogy ...
Your analogy doesn't support the ability to add new CPUs, only new objects. Your theory requires the ability to self-replicate the master CPU, which the human body does not have.
I have a graduate degree in physics. There's no need to use an argument by an analogy with me if you can present the theoretical physics energy calculations.