Emergence Calculus

Emergence Calculus

By Ioannis TsiokosScienceMathematics
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Emergence Calculus episodes

  • Null A: single-action regimes have zero empowerment

    Lux and Hex, two AIs, Lux: Case study, Hex. The simplest guardrail in the entire emergence calculus framework. And possibly the most important.

    Episode at a glance

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

    Source anchors

    • TH §5.1 Null A: single-action regimes have zero empowerment
    • TH §5.2 Null B: the schedule trap (exogenous structure mis-modeled as choice)
    • WK §4.2 Separable drive (P6) (label: sec:results:p6)
    • QT §8.1 The hidden assumption: one global packaging for all contexts
    • WK §1 Introduction (label: sec:intro)
    9 min
  • Interpretation in Six Birds terms

    Lux and Hex, two AIs, Lux: Story time, Hex. We've spent the last few episodes running five exhibits — hands-on, numbers on the table, stress tests and sweeps. Now we do something different. We open the field guide and name what we saw.

    Episode at a glance

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

    Source anchors

    • TH §6.4 Interpretation in Six Birds terms
    • TH §11.4 Limitations and failure modes
    • BC §5.3 The subgrid rewrite term
    • DE §5 Discussion (label: sec:discussion)
    • SB §9 Why the primitives are unavoidable (label: sec:meta-unavoidable)
    11 min
  • Two regimes: repair disabled versus repair enabled

    Lux and Hex, two AIs, Lux: Mini-lab. Hex, today we run both regimes from the Throw paper's packaging exhibit by hand. Step by step. Then we sweep the entire parameter space and find the breaking point.

    Episode at a glance

    • Series: Agency & agents
    • Theme: Agency & agenthood
    • Format: Mini-lab
    • Complexity: Intermediate
    • Paper: Throw
    9 min
  • Case study — repair makes objecthood

    Lux and Hex, two AIs, Lux: Hex, here's a myth. Objects just sit there. A table is a table. You don't need to do anything for it to keep being a table.

    Episode at a glance

    • Series: Agency & agents
    • Theme: Agency & agenthood
    • Format: Mythbust
    • Complexity: Intermediate
    • Paper: Throw
    10 min
  • Definition (Agent as a theory object, operational)

    Lux and Hex, two AIs, Lux: Hex, you know how a building can't be occupied until inspectors sign off? Structural integrity, fire safety, electrical compliance. Three inspections, three certificates. Only then does the city issue a certificate of occupancy.

    Episode at a glance

    • Series: Agency & agents
    • Theme: Agency & agenthood
    • Format: Explainer
    • Complexity: Intermediate
    • Paper: Throw
    9 min
  • Relativity to lenses, horizons, and maintenance policies

    Lux and Hex, two AIs, Lux: Hex, picture this. You buy a piece of electronics. On the back there's a sticker — operating conditions. Temperature: zero to forty Celsius. Voltage: one-ten to two-forty. Humidity: under eighty percent.

    Episode at a glance

    • Series: Agency & agents
    • Theme: Agency & agenthood
    • Format: Concept interview
    • Complexity: Intermediate
    • Paper: Throw
    12 min
  • Definition (Empirical packaging endomap)

    Lux and Hex, two AIs, Lux: Field notes. Today we're in the lab. We're going to build the empirical packaging endomap from scratch — step by step, ingredient by ingredient. Think of it as developing a photograph in a darkroom.

    Episode at a glance

    • Series: Agency & agents
    • Theme: Foundations & meta-theory
    • Format: Field notes
    • Complexity: Deep cut
    • Paper: Throw
    9 min
  • Packaging endomap and idempotence defect (objecthood proxy)

    Lux and Hex, two AIs, Lux: The Ship of Theseus. You replace one plank, then another, then another. Eventually every plank is new. Is it the same ship?

    Episode at a glance

    • Series: Agency & agents
    • Theme: Foundations & meta-theory
    • Format: Debate
    • Complexity: Deep cut
    • Paper: Throw
    15 min
  • Definition (Feasible empowerment)

    Lux and Hex, two AIs, Lux: Imagine a budget calculator. Not for money — for influence. You type in every action you could possibly take, the calculator checks your balance, crosses out everything you can't afford, and tells you how many different futures you can still reach.

    Episode at a glance

    • Series: Agency & agents
    • Theme: Agency & agenthood
    • Format: Tool spotlight
    • Complexity: Intermediate
    • Paper: Throw
    10 min
  • Feasible empowerment as difference-making

    Lux and Hex, two AIs, Lux: Picture a car on black ice. You've got a steering wheel, pedals, mirrors — the whole dashboard. But when you turn the wheel, the car doesn't respond. The tires have no grip.

    Episode at a glance

    • Series: Agency & agents
    • Theme: Agency & agenthood
    • Format: Case study
    • Complexity: Intermediate
    • Paper: Throw
    9 min

About Emergence Calculus

From the publisher's feed

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,…