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Created a overview and summary. Not much to say, as they are only theoretical constructs so far.
'''Tachyons''' are hypothetical particles that would travel faster than light.
==Theoretical Basis==
The [[Special Theory of Relativity]] does not preclude faster than light travel per se. Rather, there is a impassable barrier at the speed of light itself for particles with any mass. The [[Lorentz factor]] becomes infinite, and so an equation like
::<math>E = mc^2 \gamma</math>
for the relativistic energy of a particle with mass becomes infinite; in other words, an infinite amount of energy would have to put into the particle from the rest of the universe. One's speed can only asymptotically approach the speed of light, but never cross it.
This does not forbid speeds greater than the speed of light. Rather, since the barrier is impassable, such a particle would have to be "born" there. '''Tachyon''' is the name given to such a hypothetical particle.
==Evidence==
Currently, there is no experimental evidence for the existence of tachyons.
==Implications for Free Will==
As detailed in [[Faster Than Light Travel]], tachyons would create the possibility of negative time passage, and thus for some observers of a given spacetime event effects precede their causes: i.e., the tachyon arrives before it leaves. This creates the possibility that certain observers would have "privileged" information, or an early warning, about what is to happen. If they could use that information to change what other observers see happen, such as to keep it from happening at all, then this would create a paradox. Either this is not possible at all, or to preserve spacetime integrity such privileged observers would simply have no ability to effect changes regardless of their wishes. This in turn means that there is predeterminism in the universe, with fundamentally negative implications for the existence free will.
==Theoretical Basis==
The [[Special Theory of Relativity]] does not preclude faster than light travel per se. Rather, there is a impassable barrier at the speed of light itself for particles with any mass. The [[Lorentz factor]] becomes infinite, and so an equation like
::<math>E = mc^2 \gamma</math>
for the relativistic energy of a particle with mass becomes infinite; in other words, an infinite amount of energy would have to put into the particle from the rest of the universe. One's speed can only asymptotically approach the speed of light, but never cross it.
This does not forbid speeds greater than the speed of light. Rather, since the barrier is impassable, such a particle would have to be "born" there. '''Tachyon''' is the name given to such a hypothetical particle.
==Evidence==
Currently, there is no experimental evidence for the existence of tachyons.
==Implications for Free Will==
As detailed in [[Faster Than Light Travel]], tachyons would create the possibility of negative time passage, and thus for some observers of a given spacetime event effects precede their causes: i.e., the tachyon arrives before it leaves. This creates the possibility that certain observers would have "privileged" information, or an early warning, about what is to happen. If they could use that information to change what other observers see happen, such as to keep it from happening at all, then this would create a paradox. Either this is not possible at all, or to preserve spacetime integrity such privileged observers would simply have no ability to effect changes regardless of their wishes. This in turn means that there is predeterminism in the universe, with fundamentally negative implications for the existence free will.