Why GPT’s Mathematical Foundations Cannot Guarantee Reliable Outputs

GPT models are built on ten unproven mathematical shortcuts stacked on top of each other, and no one has formally proven how errors from each layer combine. This isn't a fixable bug — it's a structural problem baked into the architecture. Research demonstrates that as models scale up, these compounding errors grow exponentially, making unreliable or fabricated outputs mathematically inevitable rather than accidental, and no current safety guardrail addresses this underlying instability.