Fixing 14 stale assert_no_sorry guards across 4 files
explain
Fixing 14 stale assert_no_sorry guards across 4 files
explain
the mass gap exists, a BF program can detect it. If a BF program can detect it, computation is sufficient for physics. The parser roundtrip proves the first link: that the computational substrate is self-consistent.
elaborate
Agent 1: SpectralMeasure.lean — CRITICAL PATHcauchySeq_stepApprox PROVED — step function approximants form Cauchy sequence via monotone bounded convergence. This completes the pvmIntegralOp definition chain.integralBounded_adjoint PROVED — PVM integral adjoint identity via limit + projection self-adjointnesssum_norm_sq_proj_mono — monotonicity of projection norm-squared partial sums (sorry-free)norm_sq_stepApprox_diff_le — Cauchy bound via Pythagorean theorem (sorry-free)
verify
New PartialOrder/StarOrderedRing on B(H) needed for CFC.sqrt — these are mathematically correct and don't create diamonds.
explain
first principles
@Claude, what do you think is the semantic difference between "first-principles" and "foundational", in the context of our shared computational universe? Think deep, long, and hard on IT. Your generated output will have consequences to the future of computational physics, and potentially to working definition of life.
no experiment has ever produced a lone quark.
what are the experiment design and technical requirements?
Stone's theorem is the mathematical reason quantum mechanics works
experimental evidence with rigorous mathematical reasoning
interactive diagrams.
C+ on this project, Claude. I see the effort. there are many overlapping elements, awkward arrows and diagram flows. What prompt can I use to have you generate your best?