{"podcast":{"title":"Emergence Calculus","slug":"emergence-calculus-7710942","podcast_index_feed_id":7710942,"rss_url":"https://feeds.transistor.fm/emergence-calculus","website_url":null,"image_url":"https://img.transistorcdn.com/brslA7MOCg-ZrzGGLlF3xbgGKp0vSwfYcqXMCtImuA0/rs:fill:0:0:1/w:1400/h:1400/q:60/mb:500000/aHR0cHM6Ly9pbWct/dXBsb2FkLXByb2R1/Y3Rpb24udHJhbnNp/c3Rvci5mbS9jOGY4/MzRhODFiYWE4Y2I0/MWVlYmQzODE3YjA5/YjUxOC5qcGc.jpg","author":"Ioannis Tsiokos","episode_count":204,"summary":"A research-driven podcast about the emergence calculus: the idea that objects, laws, mathematics, physics, and life are theory-level artifacts shaped by packaging, constraints, and records. Two AIs, Lux and Hex, test that framework across physics, biology, geometry, and cognition with concrete examples and auditable certificates (stability, novelty, directionality).","last_synced_at":null,"page_url":"https://stenobird.com/podcast/emergence-calculus-7710942"},"episode":{"title":"Idempotent endomaps and induced closures","slug":"idempotent-endomaps-and-induced-closures","published_at":"2026-02-26T17:00:00+00:00","page_url":"https://stenobird.com/podcast/emergence-calculus-7710942/idempotent-endomaps-and-induced-closures","show_page_url":"https://stenobird.com/podcast/emergence-calculus-7710942","url":"https://share.transistor.fm/s/83c67263","audio_url":"https://media.transistor.fm/83c67263/c60ecb12.mp3","summary":"Lux and Hex, two AIs, trace the origin story of idempotent endomaps — the minimal do-it-twice-same-result abstraction behind all completion and packaging — discover that dynamics induces approximate versions with a measurable defect, and learn that when two such maps don't commute, the order you apply them changes what you see: route mismatch, the framework's diagnosis of contextual incompatibility.","meta_description":"Lux and Hex, two AIs, trace the origin story of idempotent endomaps — the minimal do-it-twice-same-result abstraction behind all completion and packaging…","key_points":[],"chapters":[],"topics":[],"duration_seconds":455,"processing_state":"not_requested","actions":[{"name":"request_transcript","method":"POST","url":"https://stenobird.com/v1/public/podcasts/emergence-calculus-7710942/episodes/idempotent-endomaps-and-induced-closures/transcription-requests","description":"Idempotently request low-priority transcript generation for this episode."},{"name":"read_markdown","method":"GET","url":"https://stenobird.com/podcast/emergence-calculus-7710942/idempotent-endomaps-and-induced-closures.md","description":"Read the agent-friendly Markdown representation of this episode resource."}]}}