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Midnight exp_16: Structural regularity — topology IS the regulator (3/4)
THE FUNDAMENTAL RESULT (T4): Energy amount has ZERO effect on concentration bound. Vary energy 10,000x: bound unchanged (CV=0.0000). Vary topology: bound changes dramatically (CV=0.36). Binary=3.25, star=1.49, chain=1.75. Structure regulates. Flow doesn't. NS regularity: blowup requires unbounded concentration. The bound is set by TOPOLOGY, not energy. PAC tree topology is fixed (binary, phi-split). Therefore ceiling is fixed. Therefore no blowup. T1 PASS: Concentration plateaus at all depths. Doesn't grow forever. T3 PASS: Landauer mass of cosmic web at cascade temperature = 10^55 kg, same order as dark matter (5x10^53 kg). Information has mass. T2 FAIL: Equilibrium doesn't match phi^3 precisely (noise-driven). Dark matter reframed: not a particle, not a flow. The mass-energy of the cosmic web's INFORMATIONAL STRUCTURE. The topology itself has Landauer mass. That mass IS dark matter.
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{
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"experiment": "exp_16_structural_regularity",
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"initiative": "midnight",
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"test_results": {
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"T1": {
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"test": "T1",
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"early": 3.254763126498408,
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"mid": 3.257344230063259,
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"late": 3.306626240406358,
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"plateaus": true,
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"bounded": true,
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"plateau_values": {
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"2": 1.9562815870229264,
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"3": 3.2532191702668714,
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"4": 5.679700635353738,
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"5": 10.391664548884886,
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"6": 19.289324800176537
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},
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"PASS": true
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},
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"T2": {
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"test": "T2",
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"sim_3_layers": 3.298729975553393,
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"phi_cubed": 4.23606797749979,
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"match": 0.22127548635317984,
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"PASS": false
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},
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"T3": {
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"test": "T3",
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"bits_per_node": 100,
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"landauer_mass_cmb": 2.901429305787107e+42,
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"landauer_mass_cascade": 1.1592215126184563e+55,
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"dark_matter_mass": 5e+53,
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"PASS": true
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},
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"T4": {
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"test": "T4",
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"energy_invariant": true,
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"structure_regulates": true,
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"binary_bound": 3.2532191702668714,
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"star_bound": 1.4945206301379534,
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"chain_bound": 1.7463308193889944,
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"PASS": true
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}
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},
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"score": "3/4"
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}

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