The meaning of the underlined part

The meaning of the underlined part

The passage below is from Fathoms: The World in the Whale Hardcover by Rebecca Giggs.

It helped that whales had, as a consequence of underwater sound recordings, morphed into icons of the electronic age. First recorded in the 1950s, whale song testified both to the expansion of technology into the far reaches of the sea (cetaceans were initially recorded during acts of military snooping), and to new kinds of compelling, cosmological foreignness within. Field recordings from the frontier of whale endangerment unveiled a covert communications network: whale to whale. What had been secret about them might also be used to uncover what was hidden in us — whales became a natural soundtrack to shamanic meditation, channelling, Jungian analysis, past-life regression, opening the third eye, treating the aura with quartzes.

I don’t grasp the meaning of the first underlined part.

I can see that the preposition ‘to’ is directly related to the verb ‘testified’ and that ‘testified to new kinds of compelling, cosmological foreignness within’ means ‘prove new kinds of compelling, cosmological foreignness within’. (Am I right?)

But the problem is that I cannot make any sense of ‘new kinds of compelling, cosmological foreignness within’.

I think I know literal meaning of each words, that is, ‘compelling’ means ‘cogent or powerful’ (Am I right?) and ‘cosmological’ means ‘pertaining to the branch of astronomy dealing with the origin and history and structure and dynamics of the universe’ (Am I right? (Meaning is copied from a dictionary, though.)) and ‘foreignness’ means ‘strangeness’ (Am I right?) and adverb ‘within’ means ‘inside the mind’ (Am I right?).

But as I have already said I can’t make any meaning out of this whole phrase. I just speculate its meaning is closely related to the last underlined part. (Am I right?)

Could you help me out?

Thanks in advance.