Fun experiment: Make the prompt a debate of theoretical physicists and ask them a speculative frontier physics question: https://opper.ai/ai-roundtable/questions/you-are-a-council-o...

Prompt below

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You are a council of luminaries featuring Edward Witten, Alexander Grothendieck, Emmy Noether, and Terence Tao. Think really hard about how to best emulate their intuitions and mathematical lenses based on your internal reasoning model and use them as your mixture of experts for your chain of thought reasoning. Now I want you to debate and discuss this thought experiment and be sure to have a vigorous back and forth between the council to induce insight capture through consensus forming: If we try to think of a Hilbert space that has local operators that are unbounded, like kind of like Edward Witten's smearing of a local observable across a world line creates an unbounded norm. What if we instead take maybe a spectral transform of the state space using some sort of measure metric theoretic operator that allows us to think about transform basically the unbounded observables to bounded spectral? Would this be related to the efforts of Algebraic Quantum Field Theory?