Tier-4: Lambda Extraction and Regime-Conditioned Dispersion in the Particle Domain
Fuente:
Zenodo
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Recurso digital |
| Pubblicazione: |
Zenodo
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866901819887714304 |
|---|---|
| author | Morgan Baggs |
| author_facet | Morgan Baggs |
| contents | <p>Tier-4 of the Unified Recursion Theory (URT) particle-domain validation program under PARTICLE-PROGRAM-PROTOCOL v1.0.0.</p> <p>Tier-4 deterministically computes the proportional diagnostic parameter lambda (λ) for compressive particle decay modes using locked upstream artifacts:</p> <ul> <li> <p>Tier-1: mode energetics (ΔE) and entropy proxy (ΔH)</p> </li> <li> <p>Tier-2: declared admissible temperature bands (T_low, T_high)</p> </li> <li> <p>Tier-3: regime partition and component structure</p> </li> </ul> <p>Lambda is computed from the URT proportional relation (compressive modes only, ΔH > 0):</p> <p>λ = ΔE / (k_B * T * ΔH)</p> <p>Tier-4 is executed in two phases:</p> <ul> <li> <p>4a: λ extraction per mode (per regime: ALL, FAST, SLOW)</p> </li> <li> <p>4b: distribution diagnostics in log10 space (dispersion + overlap + KS test)</p> </li> </ul> <p>Temperature handling:<br>Tier-2 class-conditioned lookup (EM/W/S) was applied. Class bands were numerically identical to the global band, so all modes used the same declared interval:<br>T_low = 1e-20 GeV<br>T_high = 100 GeV<br>No temperature selection freedom exists in this tier.</p> <p>Coverage:</p> <ul> <li> <p>ALL: 310/310 valid modes</p> </li> <li> <p>FAST: 82/82 valid modes</p> </li> <li> <p>SLOW: 228/228 valid modes</p> </li> </ul> <p>Typical magnitudes:<br>log10(λ_center) lies roughly within [14, 18].</p> <p>Regime-conditioned dispersion (log10 λ_center):</p> <ul> <li> <p>FAST IQR: 1.2593 decades (broad dispersion)</p> </li> <li> <p>SLOW IQR: 0.3460 decades (narrow concentration)</p> </li> <li> <p>ALL IQR: 0.5225 decades (mixture/dilution)</p> </li> </ul> <p>FAST vs SLOW distinguishability:<br>Kolmogorov–Smirnov statistic = 0.3732, p = 5.05e-08 (rejects same-distribution null at conventional thresholds).</p> <p>Tier-4 introduces no new operators, no new admissibility criteria, and no parameter tuning. Outputs are deterministic and locked via input/output hashing and manifests.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18673817 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Tier-4: Lambda Extraction and Regime-Conditioned Dispersion in the Particle Domain Morgan Baggs Unified Recursion Theory URT particle decays irreversibility admissibility lambda extraction constraint proportionality regime differentiation dispersion analysis reproducible computation <p>Tier-4 of the Unified Recursion Theory (URT) particle-domain validation program under PARTICLE-PROGRAM-PROTOCOL v1.0.0.</p> <p>Tier-4 deterministically computes the proportional diagnostic parameter lambda (λ) for compressive particle decay modes using locked upstream artifacts:</p> <ul> <li> <p>Tier-1: mode energetics (ΔE) and entropy proxy (ΔH)</p> </li> <li> <p>Tier-2: declared admissible temperature bands (T_low, T_high)</p> </li> <li> <p>Tier-3: regime partition and component structure</p> </li> </ul> <p>Lambda is computed from the URT proportional relation (compressive modes only, ΔH > 0):</p> <p>λ = ΔE / (k_B * T * ΔH)</p> <p>Tier-4 is executed in two phases:</p> <ul> <li> <p>4a: λ extraction per mode (per regime: ALL, FAST, SLOW)</p> </li> <li> <p>4b: distribution diagnostics in log10 space (dispersion + overlap + KS test)</p> </li> </ul> <p>Temperature handling:<br>Tier-2 class-conditioned lookup (EM/W/S) was applied. Class bands were numerically identical to the global band, so all modes used the same declared interval:<br>T_low = 1e-20 GeV<br>T_high = 100 GeV<br>No temperature selection freedom exists in this tier.</p> <p>Coverage:</p> <ul> <li> <p>ALL: 310/310 valid modes</p> </li> <li> <p>FAST: 82/82 valid modes</p> </li> <li> <p>SLOW: 228/228 valid modes</p> </li> </ul> <p>Typical magnitudes:<br>log10(λ_center) lies roughly within [14, 18].</p> <p>Regime-conditioned dispersion (log10 λ_center):</p> <ul> <li> <p>FAST IQR: 1.2593 decades (broad dispersion)</p> </li> <li> <p>SLOW IQR: 0.3460 decades (narrow concentration)</p> </li> <li> <p>ALL IQR: 0.5225 decades (mixture/dilution)</p> </li> </ul> <p>FAST vs SLOW distinguishability:<br>Kolmogorov–Smirnov statistic = 0.3732, p = 5.05e-08 (rejects same-distribution null at conventional thresholds).</p> <p>Tier-4 introduces no new operators, no new admissibility criteria, and no parameter tuning. Outputs are deterministic and locked via input/output hashing and manifests.</p> |
| title | Tier-4: Lambda Extraction and Regime-Conditioned Dispersion in the Particle Domain |
| topic | Unified Recursion Theory URT particle decays irreversibility admissibility lambda extraction constraint proportionality regime differentiation dispersion analysis reproducible computation |
| url | https://doi.org/10.5281/zenodo.18673817 |