« on: 19/02/2018 12:34:03 »
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Great question. Let me take a layman's stab at this...
I assume you're asking could two 1-Planck scale particles, and 2-Planck scale particles? However, isn't a Planck scale particle, by definition a theoretical particle thought to be a tiny black hole whose Compton wavelength is equal to its Schwarzschild radius?
So:No, total distance travelled, from rest, at a given acceleration of c^2/R
c^2t^2/2R= extra distance travelled due to acceleration?
(Where t is the age of the universe.)
Extra distance due to acceleration depends what you are comparing it to eg constant speed cts = at2/2, as we said earlier, so 13.8 x c4/2R2 billion light years.@alancalverd Alan, did you mean c2/2R x 13.82 billion light years.
I’m still not sure how Smolin derived c2/R as being the acceleration.
In science experiment trumps theory. You can have the most elegant and self-consistent framework possible, but if it disagrees with what is observed in the real world, it can't be correct.
There are many experimental observations that establish that spaceflight and thrust are quite possible.
Let's imagine there is an airtight box filled with helium gas. Each of the helium atoms has mass, and a speed that is related to the temperature of the gas (the hotter the gas, the faster the atoms are moving; at 20 °C, the average speed of the atoms is about 1200 m/s). The helium atoms are whizzing around within the box, bouncing off of each other, and off the sides of the box. It is the repeated action of the atoms hitting the side that causes what we observe as pressure. Every time a helium atom hits one of the walls, there is a transfer of energy and momentum between the two, but because the atoms are hitting all walls of the box at the same rate and with the same force, the box doesn't move.
If we now open one side of the box (say it's the left hand side), any helium atom that would have hit that wall, instead keeps moving (to the left). Thus all of the helium atoms that impart their rightward momentum to the wall opposite the open side have no opposing force to keep the box stationary. Eventually all of the helium will have exited the box, heading towards the left, and having imparted all of their rightward momentum to the box.