There's a different paradox with this version of time travel though. Suppose I'm a kid and future-Me comes back and tells me a story. "you will write down this story and publish it and it will be famous." I do as he asks and he's absolutely right, leading me to eventually return the favor to my past self in a time loop.
Where did the story come from?
Where do c (the speed of light), G (Gravitational constant) or π comes from?
This could be a kind of conservation law - imagine that instead of a story you had a golden coin, that you receive from your future self, keep, and give back to your past self after you travel, you've added some mass to the universe, which would be impossible because of conservation of energy.
https://www.frontiersin.org/articles/10.3389/fphy.2020.00139...
2. What does it have to do with the third law of thermodynamics (which is about the impossibility to reach a temperature of 0K)
What does that even mean? This is the kind of hand-waving the OP was pointing out.
He probably meant the first law.
Any variation on this: “sending this item in the past, will grab the same amount of mass from the past, taken at random in a way that preserve the energy on both ends”
Either it's impossible to travel back in time in this universe or it is not an isolated system... or the law of conservation could somehow be broken... do my thoughts make any sense?
If instead the rule is that we need to conserve the energy sum of all possible locations in space-time, then no law is broken.
It also would seem to be impossible to calculate energy at a specific moment. Energy = mc^2, or expressed differently, e = m * d^2 * t^-2. If t = 0, then t^-2 is not calculable.
What people mean by "time travel" isnt time-reversal. It's taking information from the future and injecting it into the past by moving the atoms of your now-body into the past.
This isn't "time travel" in any sense that physics uses the term. And is certainly impossible on very many grounds.
Physics has nothing to say on "time travel" in the popular imagination.