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Assuming it is somehow possible to get a small piece of a white dwarf (maybe a dice) and this piece escapes into free space. Would that piece of white dwarf matter keep its density/state, or would it expand, explode, or transform into another state without the huge gravitational force of the whole white dwarf it was captured in before?

There is a similar question here for neutron stars: What would happen to a teaspoon of neutron star material if released on Earth?. Neutrons decay without the large pressure inside the neutron star, so the fate of a piece of neutron star material is clear. But what would happen to white dwarf material? I think the state of white dwarf matter is different from neutron stars (which mainly consists of neurons...)?

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The answer is similar to What would happen to a teaspoon of neutron star material if released on Earth? but the energetics are not so extreme. The material consists of fully ionised carbon and oxygen nuclei plus a gas of highly degenerate electrons.

At typical densities for white dwarfs of $10^{9} - 10^{11}$ kg/m$^3$, the internal kinetic energy density of the electrons in the degenerate gas is very high - of order $10^{22}$ to $10^{25}$ J/m$^3$. This energy would be "released"/explode if the white dwarf material is unconfined by gravity. Note that this would be true, even if the white dwarf material was cool, since the kinetic energy density of a degenerate gas is independent of temperature and the ions in the gas are minor contributors to the overall kinetic energy.

The result would be widely dispersed electrons plus carbon and oxygen ions.

ProfRob
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