16 papers
Auditing an AI-Generated Mathematical Proof: A Correction to a Greedy Conditioning Lemma in Quantum Parallel Repetition
Mikołaj Sienicki, Krzysztof Sienicki
Chapter 6 of OpenAI's *Ten Advances in Mathematics and Theoretical Computer Science* claims an exponential parallel-repetition theorem for all finite two-player, one-round entangle…
The New Tractatus Program: Quantum Mechanics, Anti-Totalitarian Ontology, and Consciousness
MikoÅaj Sienicki, Krzysztof Sienicki
This article reads two recent tractatus-style texts - Niccolo Covoni and Carlo Rovelli's Tractatus Quanticus (arXiv:2512.06034) and Mikolaj Sienicki and Krzysztof Sienicki's Tracta…
Comment on arXiv:2601.04248v1: Superposition of states in quantum theory (J.-M. Vigoureux)
MikoÅaj Sienicki, Krzysztof Sienicki
Vigoureux suggests replacing the usual linear superposition rule of quantum mechanics with a M"obius-type "composition law" , motivated by (i) bounded-domain composition la…
Comment on arXiv:2511.21731v1: Identifying Quantum Structure in AI Language: Evidence for Evolutionary Convergence of Human and Artificial Cognition
Krzysztof Sienicki
This note is a friendly technical check of arXiv:2511.21731v1. I highlight a few places where the manuscript's interpretation of (i) the reported CHSH/Bell-type calculations and (i…
Tractatus de Conscientia: A Tractatus-Style Sketch Toward a Modern, Physically Operational Theory of Consciousness
MikoÅaj Sienicki, Krzysztof Sienicki
Tractatus de Conscientia is a tractatus-style sketch toward a modern, physically operational account of consciousness. It is also a tractatus-style attempt to talk about consciousn…
EPR Revisited: Context-Indexed Elements of Reality and Operational Completeness
MikoÅaj Sienicki, Krzysztof Sienicki
We reframe the EPR argument through an operational lens, replacing the notion of fixed "elements of reality" with context-indexed conditional states - what's often referred to as a…