There is just tons of reading on this if you care to scour the literature. Penrose' objective collapse theory is usually given as the prime example of the whole genre.
I already read through https://en.wikipedia.org/wiki/Penrose_interpretation when I was trying to figure out what nonsense you were spewing. The article does not mention the Church-Turing thesis, hypercomputation, Gödelian incompleteness, or the Lucas-Penrose argument.
People can be known for more than one thing. Those two things can be unrelated, even if they're in the same field.
In Penrose book that introduced his thoughts on this argument he devotes an entire chapter to his objective collapse theory and quantum gravity. You asked for a paper and I gave you many. You want to know more pick up his book.
There is just tons of reading on this if you care to scour the literature. Penrose' objective collapse theory is usually given as the prime example of the whole genre.