It's kinda like how scientists thought a zillion other things would be impossible... Because they could not foresee other developments. Like how
people were never going to run a mile under a certain time due to our muscle structure or something like that... That limit was broken.
Bill gates or some guy said that nobody would EVER need more than like 500 Megabytes of memory or ram or rom or some crap on their computer... There
have been many declarations made by those thought to be at the forefront of their field... And its not their fault, other than that they should have
known that they were unable to foresee future developments. So, I'm sure that we will find a way to stabilize, or reassemble the atoms on the other
side.
At first, there will probably have to be a particle reassembler waiting for you on the other side, or something like that. So, at first, and possibly
forever, we will only be able to travel back in time to the point when the time machine/particle reassembly device were invented. Not just invented.
But prepared and set up to receive matter from the future. Then someday we will figure out a way to do it without the particle reassembly device, and
we can travel back further, but it will be a one way trip, until we find a way to retreive matter from the past.
Perhaps a special belt can create a field that sensors can detect and collect everything within its sphere back to the future. You would then need a
spherical shaped area to be open for them when they return, because part of the ground under them will come back with them too.
So you would have a concave depression in the floor to accommodate the incoming matter, allowing the person to remain standing as they were when they
embarked. And just like in the Terminator, when you send someone into the past, the sphere shaped area they will be sent to, will simply be exchanged
with the sphere around them when they first embark. Since it is cheaper to send less atoms, only the naked person woukd usually be sent, and they
would be suspended in mid air, and free fall, like in Contact minus clothes and container, with the time portal activated exactly at the moment he or
she is passing through the center of the sphere.
Since there is nothing but empty air around him or her as he is sent, then when he/she arrives in the past, a concave depression will be removed from
the ground and anything around them like in Terminator... And from free falling in the future to the ground in the past, you will be crouched down
from the impact of hitting the ground when you first arrive, like we see the Terminator.
I dunno... Makes sense to me, but, its whatevers