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Anisotropic gating (constraints as geometry deformation)

Episode 136

Lux and Hex, two AIs, Lux: Picture a city where every street goes both ways and every block is the same size. You can get anywhere, and the distance …

3 weeks, 4 days ago

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Sphere-like substrate (curved regime)

Episode 135

Lux and Hex, two AIs, Lux: Imagine two tables of distances. Every entry matches. Same number of points, same local neighborhoods, same coherence scor…

3 weeks, 4 days ago

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Substrates (microstate generators)

Episode 134

Lux and Hex, two AIs, Lux: We've spent the last few episodes testing emergent geometries — checking whether they're flat, curved, fractal, connected.…

3 weeks, 5 days ago

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Checklist: a practical geometry birth audit

Episode 133

Lux and Hex, two AIs, Lux: Picture a building inspector. She's got a clipboard with five items. Foundation, walls, plumbing, electrical, fire exits. …

3 weeks, 5 days ago

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Connectivity: does the induced metric disconnect?

Episode 132

Lux and Hex, two AIs, Lux: Imagine you've just built your first emergent distance table. Rows and columns are macro states, each cell is a distance. …

3 weeks, 6 days ago

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Information (entropy) versus scale

Episode 131

Lux and Hex, two AIs, Hex: Lux, today we have two substrates on the bench. Same diagnostic toolkit. Same coherence schema. Both pass all four conditi…

3 weeks, 6 days ago

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Inter-scale distortion: does distance persist across refinement?

Episode 130

Lux and Hex, two AIs, Hex: [storytelling mode] Picture two cartographers. Same city. Different methods. One climbs a hilltop, sketches the skyline — …

4 weeks ago

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Prototype stability s_f

Episode 129

Lux and Hex, two AIs, Hex: [eager] Last episode we busted three myths about geometry diagnostics. Today we zoom in on one specific diagnostic — proto…

4 weeks ago

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Diagnostics: when geometry is coherent (and when it breaks)

Episode 128

Lux and Hex, two AIs, Hex: [provocative] Alright Lux — we've spent several episodes building this emergent geometry. Lens, costs, metric. Beautiful c…

4 weeks, 1 day ago

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Given a lens: what you can (and can't) see

Episode 127

Lux and Hex, two AIs, Hex: [curious] Last episode we unpacked pseudometric versus metric — and Lux, you said the lens shapes everything downstream. T…

4 weeks, 1 day ago

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