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 Member 56 Level 24.48 Mar 2006 
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Your white dwarf reaches a point called the Chandrasekhar Limit, which as you stated is approximately 1.44 solar masses. Below that mass, a white dwarf should remain stable. If it becomes too massive however, it collapses in on itself due to gravitic forces and becomes either a neutron star or a black hole. In special cases it might explode if it is able to accrete matter from somewhere else and hence maintain a supply of fusionable material. If there were little or no fuel left then there would be little chance of an explosion. I remember writing a paper on this subject many years ago at high school. Lol, nostalgia.
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Why Am I Allowed to Have Gray Paint