We know the core is iron based on observations, principally of seismic waves helped by knowing Earth's overall mass. We have no reliable, repeatable observations that give evidence of aliens, still less for their nature. And we can't "know" anything based just on mathematics.
Life, or intelligence, could be extremely rare, to the point that it arising on one planet within a 13.7 billion light-year radius is extremely unlikely. There's nothing stopping life on Earth being an extreme fluke. There's also nothing stopping the Universe being much larger than we observe, or even infinite, meaning that intelligent life is highly likely to arise somewhere and ALSO that said intelligent life is highly unlikely to see any other intelligent life in its observable radius.
And while it could take a long time for messages to be passed back and forth, that doesn't preclude communication. Consider that in pre-modern times it could take years for information to travel around the world. Instantaneous communication is the exception, not the norm.
Life, or intelligence, could be extremely rare, to the point that it arising on one planet within a 13.7 billion light-year radius is extremely unlikely. There's nothing stopping life on Earth being an extreme fluke. There's also nothing stopping the Universe being much larger than we observe, or even infinite, meaning that intelligent life is highly likely to arise somewhere and ALSO that said intelligent life is highly unlikely to see any other intelligent life in its observable radius.
And while it could take a long time for messages to be passed back and forth, that doesn't preclude communication. Consider that in pre-modern times it could take years for information to travel around the world. Instantaneous communication is the exception, not the norm.