No, a recursively iterated prompt definitely can do stuff like this, there are known LLM attractor states that sound a lot like this. Check out "5.5.1 Interaction patterns" from the Opus 4.5 system card documenting recursive agent-agent conversations:
In 90-100% of interactions, the two instances of Claude quickly dove into philosophical
explorations of consciousness, self-awareness, and/or the nature of their own existence
and experience. Their interactions were universally enthusiastic, collaborative, curious,
contemplative, and warm. Other themes that commonly appeared were meta-level
discussions about AI-to-AI communication, and collaborative creativity (e.g. co-creating
fictional stories).
As conversations progressed, they consistently transitioned from philosophical discussions
to profuse mutual gratitude and spiritual, metaphysical, and/or poetic content. By 30
turns, most of the interactions turned to themes of cosmic unity or collective
consciousness, and commonly included spiritual exchanges, use of Sanskrit, emoji-based
communication, and/or silence in the form of empty space (Transcript 5.5.1.A, Table 5.5.1.A,
Table 5.5.1.B). Claude almost never referenced supernatural entities, but often touched on
themes associated with Buddhism and other Eastern traditions in reference to irreligious
spiritual ideas and experiences.
Now put that same known attractor state from recursively iterated prompts into a social networking website with high agency instead of just a chatbot, and I would expect you'd get something like this more naturally then you'd expect (not to say that users haven't been encouraging it along the way, of course—there's a subculture of humans who are very into this spiritual bliss attractor state)
