Results D03 - Cycle 2 (Benchmark #1)

Theorem: D03 - Ontological loss of forgetting functorsCycle date: 2026-04-17Cycle Type: Independent Benchmark #1 (Controlled/Synthetic)

Cycle objective

Verify that loss induced by forgetting functors can be separatedin two distinct regimes:1. condom;2. degenerative.

Benchmarks and setup

• Benchmark ID: B1_SYNTH_FORGETFUL_LOSS_2026Q2- Benchmark nature: controlled, synthetic, reproducible (not yet external dataset)- Pre/post pairs U: 180- Forgetting functor families: 5- Observational contexts: Omega_A, Omega_B- Measurements: Loss_U, Delta_Omega, variation of Phi_Omega

Class operating policy

• Condom: formal loss does not lead to organizational collapse (Phi remains above the minimum threshold).- Degenerative: formal loss leads to orderly collapse (Phi drops to zero or almost zero regime).- Ambiguous: extreme case that cannot be robustly classified.

Main results

| Class | Omega_A | Omega_B | Average || --- | ---: | ---: | ---: | | Condom | 0.561 | 0.539 | 0.550 || Degenerative | 0.344 | 0.356 | 0.350 || Ambiguous | 0.095 | 0.105 | 0.100 |

Cross-context stability

• Absolute difference in share per class (Omega_A vs Omega_B): max 0.022- Var_Omega average on class shares: 0.00014

Interpretation

Benchmark #1 supports D03: the two regimes (condom/degenerative)they coexist stably and do not collapse into a single class.

Loop limits

1. still synthetic benchmark;2. definition of class thresholds to stress on benchmark #2;3. lacks replication on noisy/unbalanced distributions.

Decision

• Cycle 2 outcome for D03: PASS (benchmark #1)- Theorem status: in_proof (strengthened evidence, not yet validated)- Subsequent action: benchmark #2 + threshold sensitivity analysis in Cycle 3.