Hello,
paradox will always exist in the modern physics because it is based on the arithmetic rule - on the energy conservation Law.
According to Godel Incompleteness Theorem such Theory contains a paradox if it is complete.
(the formulation of Godel theorem - theory that contains rules of arithmetic can not be both consistent and complete).
Physics is complete because it can always answer for any sentence A if it is valid or it is negation is valid.
(Physics always knows what is the truth).
Hence Physics is inconsistent. It means it contains a paradox.
There are so many paradoxes in physics, starting from Zeno's paradox.
But there was always "good" guy who found a reasonable explanation and built more theory to solve the paradox.
But after some time there is another paradox....
This leads to chaos finally.
The prove is given in the attached PDF file. In the file the proof is given for Sociology, but as one can see the same applies for Physics or any other Theory that is based on arithmetics. For example, Computer Science since it studies Computers and computers work is based on processors but processors work is based on arithmetic.
In the file it is noted that the same questions about paradox and about the sense and nonsense were already studied by Ludvig Wittgenstein in his Tractatus.
People should understand that if there is a paradox then it means that the theory is inconsistent and hence it is wrong.
Because the question if it is true or false has no sense in such theory. => Theory has no value except creating a chaos in the knowledge
http://vixra.org/pdf/1601.0192v1.pdf
Philosophical system Chaos Theory.pdf