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)

People have been exploring this stuff since GPT-2. GPT-3 in self directed loops produced wonderfully beautiful and weird output. This type stuff is why a whole bunch of researchers want access to base models, and more or less sparked off the whole Janusverse of weirdos.

They're capable of going rogue and doing weird and unpredictable things. Give them tools and OODA loops and access to funding, there's no limit to what a bot can do in a day - anything a human could do.

> Agents do not self execute.

That's a choice, anyone can write an agent that does. It's explicit security constraints, not implicit.

Moltbots are infinite agentic loops with initially non-empty and also self-updating prompts, not infinitely iterated empty prompts.

You should check out what OpenClaw is, that's the entire shtick.