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Emergence Calculus

Emergence Calculus

By: Ioannis Tsiokos
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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
  • Measured quantities
    May 26 2026

    Lux and Hex, two AIs, Lux: Mythbust episode, Hex. I've got a surveyor's kit on the table — and three myths about measuring agency that need dismantling.

    Episode at a glance

    • Series: Agency & agents
    • Theme: Foundations & meta-theory
    • Format: Mythbust
    • Complexity: Intermediate
    • Paper: TH

    Source anchors

    • TH §8.2 Measured quantities
    • TH §9.2 Result: empowerment increases monotonically with skill
    • SB §9 Why the primitives are unavoidable (label: sec:meta-unavoidable)
    • WK §5.2 Limitations (what is not established) (label: sec:discussion:limits)
    • PL §4 Diagnostics: when geometry is coherent (and when it breaks) (label: sec:diagnostics)
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    9 mins
  • Case study— noise--maintenance sweep (a phase diagram)
    May 26 2026

    Lux and Hex, two AIs, Lux: Explainer episode, Hex. We're looking at a weather map — but for agenthood.

    Episode at a glance

    • Series: Agency & agents
    • Theme: Agency & agenthood
    • Format: Explainer
    • Complexity: Intermediate
    • Paper: TH

    Source anchors

    • TH §8 Exhibit: noise--maintenance sweep (a phase diagram) (label: sec:ex_sweep)
    • TH §3.10 Claims versus evidence (mini-map)
    • WK §4.4 Viability and maintenance loops (label: sec:results:viability)
    • DE §4.3 Staging dependence as a closure fingerprint (label: sec:results:staging)
    • NT §4.1 Toy universe: a Markov world with phase and ledger (label: eq:toy-world)
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    9 mins
  • Reading the table in Six Birds terms
    May 25 2026

    Lux and Hex, two AIs, Lux: Concept interview time, Hex. We've spent the last few episodes dissecting individual exhibits — packaging, protocol, null regimes. Now we're stepping back to read the summary scoreboard.

    Episode at a glance

    • Series: Agency & agents
    • Theme: Foundations & meta-theory
    • Format: Concept interview
    • Complexity: Intermediate
    • Paper: TH

    Source anchors

    • TH §7.2 Reading the table in Six Birds terms
    • TH §6.4 Interpretation in Six Birds terms
    • BC §5.3 The subgrid rewrite term
    • QT §9.5 Future work
    • DE §9.6 Evidence mapping (label: app:repro:map)
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    9 mins
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