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Emergence Calculus

Emergence Calculus

By: Ioannis Tsiokos
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About this listen

 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).@ Automorph Inc. Mathematics Science
Episodes
  • Holonomy obstruction (no global time)

    Holonomy obstruction (no global time)
    Apr 17 2026

    Lux and Hex, two AIs, Lux: [settling back] Last episode — the reproducibility darkroom. Today we leave infrastructure behind and step into geometry. The mathematical reason there's no global time.

    Episode at a glance

    • Theme: Time, clocks & arrows
    • Format: Story

    Source anchors

    • NT §7 No global time from protocol holonomy (label: sec:no-global-time)
    • NT §4.7 Audit 6: no global time via protocol holonomy
    • SB §6 AUT + REV + ACC regime and graph 1-forms (label: sec:acc)
    • DE §2.2 Coherence: idempotence and route mismatch (label: sec:framework:mismatch)
    • QT §6.3 Reproducible diagnostics: global purity, packaged mixture, idempotence
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    9 mins
  • Reproducibility: regenerating artifacts and paper tables

    Reproducibility: regenerating artifacts and paper tables
    Apr 16 2026

    Lux and Hex, two AIs, Lux: [settling in] Last episode we opened the appendices — four myths busted. Today we go deeper. One specific drawer: the reproducibility layer.

    Episode at a glance

    • Theme: Methods, mechanization & reproducibility
    • Format: Mini-lab

    Source anchors

    • NT §10.1 Reproducibility: regenerating artifacts and paper tables (label: sec:appendix-repro)
    • NT §4.9 Reproducibility and auto-generated paper tables (label: tab:artifact-manifest)
    • BC §9 Reproducibility (label: sec:repro)
    • PL §11 Reproducibility appendix (label: app:reproducibility)
    • DE §9.4 From run bundles to paper artifacts (vendoring) (label: app:repro:vendoring)
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    9 mins
  • Bonus material: what's hiding in the appendices?

    Bonus material: what's hiding in the appendices?
    Apr 16 2026

    Lux and Hex, two AIs, Lux: [settling back] Last episode — the fine print, the scope, the non-claims. Today we go somewhere most people never look.

    Episode at a glance

    • Format: Mythbust

    Source anchors

    • NT §10, NT §1, SB §9, PL §11.6, SB §3.5
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    9 mins
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