AI Noob here. Trying to learn. Frameworks for Neuro-Symbolic AIs using a proposed equation linking weak and gravitational forces as inspiration?

I need to know if these outputs are slop or not.

The equation used as inspiration:

V(ϕ, g) = ½m²ϕ² + (β/M\_Pl)Rϕ²

Links to Google Docs for each of three responses from Gemini Pro:

1. https://docs.google.com/document/d/1iT9CgHhLIvlZQi6M9oba18QTgCQIi1FbuIzK3mpgwD8/edit?usp=drivesdk

2. https://docs.google.com/document/d/1Xnzp7eC0Nor2zgkCl4DD1Ro0aWsPT2ggTs-WNMxHhtY/edit?usp=drivesdk

3. https://docs.google.com/document/d/1tOl9Rsl0bP0rGThqiBh9RWpCukxveQbL2dkO-A3R4WQ/edit?usp=drivesdk