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Our current KE page states that kinetic energy shouldn't be used for high relativistic speeds. The reason for that is simply that by being close enough to the speed of light any arbitary value smaller than infinite can be reached.
Now "high relativistic speed" isn't a clear definition so the question is how we clearly define it. Instead of picking a speed boarder and saying that anything above that should not be calced at all, the approach I would like to take is that a border in relation (/as function) of newtonian kinetic energy is choosen to limit the values very close to the speed of light to reasonable amounts.
So the idea is that we pick a value and say that relativistic energy values get rounded of to the newtonian kinetic energy times that value.
I would think the reasonable values are in the interval from 2 to 13 times the newtonian kinetic energy (13 times would mean we only stop using the relativistic formula properly for speeds above 99% of the Speed of light, so that the regulation would barely affect any speed feats).
So the question is which value should be used here?
Now "high relativistic speed" isn't a clear definition so the question is how we clearly define it. Instead of picking a speed boarder and saying that anything above that should not be calced at all, the approach I would like to take is that a border in relation (/as function) of newtonian kinetic energy is choosen to limit the values very close to the speed of light to reasonable amounts.
So the idea is that we pick a value and say that relativistic energy values get rounded of to the newtonian kinetic energy times that value.
I would think the reasonable values are in the interval from 2 to 13 times the newtonian kinetic energy (13 times would mean we only stop using the relativistic formula properly for speeds above 99% of the Speed of light, so that the regulation would barely affect any speed feats).
So the question is which value should be used here?