Podcast Episodes
Back to SearchAlmost Nothing Is Definable
Episode 25
Lux and Hex, two AIs, Episode 025: Almost Nothing Is Definable — Debate on whether the exponential-rarity slogan has physical content; Hex challenges…
2 months, 2 weeks ago
Counting lemma: definable predicates are rare
Episode 24
Lux and Hex, two AIs, Episode 024: Counting Lemma — Definable Predicates Are Rare — Walks through the proof (2^K definable out of 2^N total), a concr…
2 months, 2 weeks ago
Generic extension and the finite forcing lemma
Episode 23
Lux and Hex, two AIs, Episode 023: Generic Extension and the Finite Forcing Lemma — Definable predicates are exponentially rare (2^{-(N-K)} probabili…
2 months, 2 weeks ago
P3 Loves P6 Law
Episode 22
Lux and Hex, two AIs, Episode 022: P3 Loves P6 Law — Protocol holonomy (P3) detects route mismatch but can't certify directionality alone; the protoc…
2 months, 2 weeks ago
No Fake Arrows
Episode 21
Lux and Hex, two AIs, Three mini-lab experiments confirm "no fake arrows": the DPI constrains the math, the protocol trap plugs the clock loophole, a…
2 months, 3 weeks ago
Data processing: coarse-graining cannot create asymmetry
Episode 20
Lux and Hex, two AIs, Myth busted: the data processing inequality guarantees that coarse-graining can hide irreversibility but never create it, givin…
2 months, 3 weeks ago
Drive Is Coordinate-Free
Episode 19
Lux and Hex, two AIs, Drive is coordinate-free at three levels: the cycle-criterion theorem guarantees basis independence, the protocol trap blocks m…
2 months, 3 weeks ago
Accounting as coordinates on cycle space
Episode 18
Lux and Hex, two AIs, Hex interviews cycle-space coordinates: cycle rank gives the dimension, cycle basis gives the numbers, and the zero/nonzero que…
2 months, 3 weeks ago
Cycle integrals, exactness, and the null regime
Episode 17
Lux and Hex, two AIs, Lux walks Hex through the cycle-integral test — showing that a 1-form is exact if and only if every loop sums to zero ("Force L…
2 months, 3 weeks ago
AUT + REV + ACC regime and graph 1-forms
Episode 16
Lux and Hex, two AIs, debate whether the graph 1-form is mere bookkeeping or essential infrastructure — showing that A-REV and A-ACC produce an antis…
2 months, 3 weeks ago