Are there multiple singularities inside the event horizon?

I was wondering in the shower today if when a star collapses into a black hole, if individual particles are "crushed" under the pressure from gravity and collapse into a singularity, and if many different particles will experience this simultaneously, would this process result in multiple singularities inside the event horizon of the black hole? Also, if an individual particle started falling toward a singularity, it would presumably cross the threshold for pressure (after which point it would itself collapse into a singularity) before it contacted the singularity.

It occurred to me that two (or more) orbiting singularities would never meet (this assumes that space-time is continuous), and so if the process of creating a black hole ended up resulting in multiple singularities inside the event horizon, these singularities would never merge. Presumably they would eventually end up in very tight orbits inside the event horizon, but even in this case, it would presumably mean that the event horizon itself wouldn't be completely spherical, (or elliptical), and that you may be able to measure this difference.

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