At what speed is the conservation of angular momentum carried out? If the sun suddenly slowed down would pluto's orbit immediately speed up? If so, then isn't the information pertaining to the sun's angular momentum change being carried to Pluto faster than light?
Would it also suggest that if a massive star in a distant galaxy suddenly slows down every other rotating body in the universe is suddenly aware of this, or is there a locality to the conservation laws that do not class the universe as a closed system?
This leads me to the question: Why isn't the conservation spread out among all spinning bodies, i.e the moon spins round the earth faster as the earths rotation is slowed by friction with the ocean, but why does the moon take on all of the momentum lost, why not spread it out through the whole universe,(if it is one system), which would produce little discernible affect locally?
Please forgive me if this is absolute nonsense but I couldn't get my head around it
 A: The theory of influences that the question assumes is known as telekinesis. Objects arbitrarily act on other objects and transmit their angular momentum (or momentum) to them. But according to physics, telekinesis isn't possible.
An object A may only transfer the angular momentum (or ordinary momentum) to another object B when A exerts torque (or force) on B. The torque (or force) is exactly the same thing as the transfer of the angular momentum (or momentum) on the other body. When the torque (or force) is absent, there can't be any transfer so there can't be any slowdown of the object A or acceleration of the object B.
The overall angular momentum carried by the Sun – in the form of its internal spinning – is conserved. If one wants to transfer this angular momentum to another object, one needs a particular "mechanism" that connects the Sun with the object. The tidal forces have this effect but the magnitude of this effect is extremely tiny. One could connect the Sun and Pluto by a metallic construction, or something like that. This could create torque and transfer the angular momentum. But without a mechanism like that, there won't be any transfer.
So the Sun's (or Earth's) spinning just can't slow down with no tangible reason. This is what the conservation of the angular momentum actually says for the Sun! The angular momentum (and similarly the momentum) can never uncontrollably and invisibly dissipate to distant corners of the Universe.
A: The sun (or any body) can't just "slow down" - there has to be a torque applied. And whatever is applying the torque gets the additional angular momentum. That is how conservation of angular momentum works - there is no "magic at a distance".
