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Originally Posted by YeOldeButchere
Matter can be created or destroyed, matter/anti-matter annihilation gives a fairly definite answer.
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Nope, matter/anti-matter annihilation is just the process of turning all matter of a system into energy. Nothing is being removed from existence. It's just a transfer of a matter state to an energy state.
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But there are cases where it's slightly more difficult to answer. Nuclear fission/fusion is one example. Assume you were to take 2 protons and 2 neutrons, and mesure their mass, for this example let's say each particle weighs 1 (no unit), so the total mass is 4. Now, fuse them together to form an helium nucleus. Surely you'd expect that the nucleus would weigh 4, but it won't be the case. The nucleus will weigh slightly less than 4, with the difference between 4 and the actual mass being tranformed in energy in accordance to E=mc^2. But the number of particles is still the same! The only thing that has changed is the mass. Can we say that matter was destroyed in this case?
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Nope, some of the matter was converted into energy. It wasn't lost. Under the right conditions that energy can be reclaimed into matter again thus that matter hasn't been destroyed. Its state has only been changed. This is the Law of Conservation of Matter and Energy. I think some of you are reading way too far into what the law states. The sum of energy and matter of what you put into something results in a equal matter and energy sum.
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The answer is essentially a matter (pun intended) of what definition of matter you use, and it's pretty much the same for a number of other problems. Creation of particle/antiparticle pairs? Well, it depends on whether or not you consider said particles to be matter or not. Creation then destruction of particles through the Heisenberg uncertainty principle when applied to time and energy? Same thing, it depends of what you consider matter to be.
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If it is not matter, its energy. If it is not energy it is matter. These are the only two states of existence in our Universe. There are no in between or ambiguous states. There is only one single definition of matter. If your 'object' doesn't fall under the matter category, then it is in an energy state.
Heisenberg uncertainty principle also deals with the wave/matter duality of electrons and the fact that we have no measurable way to detect the moment of electrons. We can only guess their probable position based on observable/measurable events. It has nothing to do with the creation and destruction of particles.
There's nowhere I can't reach.