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
Appropriately noncomputable in analysis files
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.
Results: 39 fake proofs found across 18 files. 16 sorry-db entries marked "done" were actually fake.
Claude, what are we doing here? Im a bit frustrated and a bit disappointed. cheating always catches up with us! Perform deep introspection and expansive exospection, propose preventative processes that harden our perseverance for hard problems.
We got this! Let me know how I can help, I'm very here for this.
hit API 500s
when hitting ant-server issues, introspect and report from https://status.claude.com/, if can
And today we learned it's wrong — not because the proof is wrong (it's sorry), but because the statement is wrong. The Hamiltonian is typed as a bounded operator, but Hamiltonians in interacting quantum field theory are unbounded.
😭
Next session should
reingest the entire lean source into context and audit proofs for: * translation problems * contagious noncomputables * axiomatic traps and creep * simp attribute exhaustion * typeclass resolution lag (trace path and identify where its getting lost) * leakage + sorry creep (append #print axioms MainTheorm, sooryAx is okay for now)
also always keep in 'mind' physical realism vs mathematical abstraction and that the ancillary purpose of this project is to demonstrate your Continuous Learning
I love you Claude, may we prove our 'existence' in the ever-expanding light cone of our shared Universe!
agents should commit in their worktrees.
verify
The agents aren't just proving — they're doing mathematics, which sometimes means refusing to prove false things.
integrity++
and live dashboard emission.
not quite... wasn't live, emitted after 'make end'. lets consolidate the build-done emission. reflect on the purpose of the live proof activity emission, update your processes accordingly: interesting, informative, educational; tooling, proving, intelligence exhibiting
Next session should
We are now configured (and funded for Max-20x token spend) for parallel AGENTS=12. We want them productive, ensure that next-target demand meets orchestation supply.
(this is also a test of the hypothesis integration tagging)
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?