BH-ARCHA Trilogy COMPLETE v2.2 - Carrollian Dynamical Filter, Falsifiable Mass-Gap Hypothesis v2.2 with Safety Saturation, and Bilingual Kosice Root

BH-ARCHA Trilogy COMPLETE v2.2 - Final PackageAuthor: Ján Rezničák (Independent, Košice, SK)Date: 2026-11-10Concept DOI: 10.5281/zenodo.24098741 (all versions linked here)License: CC-BY 4.0 - Open Access === THIS DEPOSITION CONTAINS 3 FILES === [1] BH-ARCHA-FINAL-MASTER-EN-V2-2-CLEAN.pdf - MAIN PAPERBH-ARCHA v2.2 - A Falsifiable Speculative Hypothesis for the Yang-Mills Mass Gap via Carrollian Memory Erasure.NEW in v2.2: Appendix E - Saturation & Safety.Introduces Rezničák energy stop to prevent run-away vacuum collapse:D_u Bh = alpha * Bh * (1 - Bh^2 / Bh_max^2)+ 6-petal topological fuse: when one petal saturates, energy redistributes to neighboring Planck foam cells instead of forming a singularity.Prevents formation of micro black hole / local vacuum collapse.Defines Bh_max ~ E_Planck / V_Planck as topological capacity of vacuum. Includes 4 falsifiers F1-F4, experimental parameters:V=3.14e-13 m3, E_topo, omega_0=6.17e5 rad/s, rho_S,krit=1.62 J.s/m3.Pure thought experiment, not peer-reviewed. [2] PASTERSKI-X-BH-ARCHA-MOST-V1-6.pdf - MATHEMATICAL TOOLCarrollian Dynamical Filter as Solution to Celestial Hologram Freeze-out Problem.V1.6 bridge: Defines dynamical ratio rho = ||S|| / ||D|| solving freeze-out of Carrollian CFT.Provides geometric memory layer Bh = frozen shadow of S_u.Stable mathematical foundation for V2.2. [3] Hierarchia-Hologramu-Dvojjazycna-Kosice-V7.pdf - BILINGUAL ROOTDvojjazyčný koreňový dokument SK/EN - Hierarchia Hologramu.Original Slovak idea development from R=... formula to current trilogy.Contains early intuition and bilingual explanation for Slovak community. === CHANGELOG ===v1.0 (2026-11-10): Carrollian filterv2.0 (2026-11-10): Initial mass-gap hypothesisv2.1 (2026-11-10): CLEAN version - removed risky claims, added falsifiabilityv2.2 (2026-11-10): Added Safety Saturation - energy stop + topological fusev3.0 (2026-11-10): COMPLETE TRILOGY - all 3 parts unified === KEYWORDS ===Yang-Mills mass gap, Clay Millennium, Carrollian holography, celestial holography, w1+infinity, Pasterski, Landauer principle, vacuum saturation, falsifiable hypothesis === DISCLAIMER ===Highly speculative. No claim of proof. No collaboration claimed.Inspired by results from Pasterski, ZARM, PTB, Leibniz Univ. Hannover - no affiliation.Experimental test requires independent verification. If omega_0 shows no anomaly, hypothesis is falsified. Contact: via Zenodo / ORCIDLocation: Košice, Slovakia