What are the situation to prove the law of conservation of mass ?

What are the situation to prove the law of conservation of mass ?

The Mass content of a moving structure depends on the Power given to cause it to move.

Einstein indicated in Relativity theory that mass changes as a function of the resulting velocity. An atomic structure in motion may gain or lose mass.

However ;The Law of thermodynamics indicates that when work is done to move a mass at a certain velocity a certain amount of energy is lost to the surrounding(Entropy).Hence a change of mass as result of the motion. Thus, a mass loss in exchange for Kinetic Energy.

Since the mass content decreased as result of the Power transfer for the motion, it indicates that atoms lose mass to the surrounding as they experience maximum acceleration.

Stars lose mass to the surroundings ,and with time it becomes considerable.

Never the less the total mass of the Universe can only remain unchanged if the system is a closed Finite system. That means that no physical mass can escape the Containment of the Universe.

Thus mass, Time and Energy are constant in the Universe and obey the conservation laws that apply to a conservative system.

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Noether's theorem. To every differentiable symmetry generated by local actions, there corresponds a conserved current. A symmetry implies a conservation law. In the case of mass (energy) if an experiment yields the same results now and at some point in the future, it is time-symmetric. This implies conservation of energy and hence mass.

The reaction should happen in a closed system; The system does not allow exchange of matter with the surroundings but allows heat and work to escape.