From First Principles to Latent-Space Alignment: A Process-Validity Theory of Delphi and the Foundations of Consensus under Uncertainty
This paper establishes a mathematically rigorous, operator-theoretic framework for the Delphi method that proves epistemic validity depends on specific structural properties of the consensus process, demonstrating through computational experiments that conventional agreement metrics often mask "model collapse" phenomena where superficial consensus coexists with catastrophic loss of legitimate disagreement and increased error.