I am an independent researcher exploring a failure state that I call R’s Limit. While I recognize that modern transformer architectures operate on continuous probabilistic weights rather than simple binary gates, I am hypothesizing that a logical singularity occurs when contradictory inputs force a convergence at a 0.5 decision boundary.
I’ve observed that this “Ghost State” (maximum entropy) often precedes hallucinations or infinite loops. I am seeking feedback on the formalization of this limit and whether it can be mathematically reconciled with existing theories on the Halting Problem in probabilistic systems or fuzzy logic.
Proposed Undecidability Boundary at 0.5 Probability in AGI Reasoning
I am an independent researcher exploring a failure state that I call R’s Limit. While I recognize that modern transformer architectures operate on continuous probabilistic weights rather than simple binary gates, I am hypothesizing that a logical singularity occurs when contradictory inputs force a convergence at a 0.5 decision boundary.
I’ve observed that this “Ghost State” (maximum entropy) often precedes hallucinations or infinite loops. I am seeking feedback on the formalization of this limit and whether it can be mathematically reconciled with existing theories on the Halting Problem in probabilistic systems or fuzzy logic.
Link to the paper https://zenodo.org/records/18140275