Technical Framework: Analytical Yang-Mills Mass Gap Resolution and Vacuum Rigidity 1. Abstract We present the NXE-Core Framework, an interactive phenomenological tool designed to evaluate the stability threshold of superheavy nuclei (specifically Moscovium, Z=115, N=184) through a non-perturbative resolution of the Yang-Mills Mass Gap (Delta > 0). Departing from standard QGP fluid dynamics, this framework models the quantum vacuum as a topological manifold possessing dynamic rigidity (kappa). By calculating the parametric resonance between the adjusted Mass Gap and the effective strong coupling (gₑff), the simulator predicts pathways to structural stability via topological entropy suppression (kappa-Freeze) at achievable facility energy limits (~50 MeV/nucleon). 2. Mathematical Formalism (Plain Text Notation) The framework operates under the analytical derivation that the non-perturbative IR limit of Quantum Chromodynamics (QCD) is governed by a vacuum impedance scalar, kappa. The effective strong coupling is modulated as: gₑff² = g₀² / kappa Consequently, the generation of the Mass Gap (Delta) is not treated as a static boundary, but as a dynamically adjusted threshold dependent on local energy density (rho) and topological rigidity: Deltaₐdj = Delta₀ * (1 + ln (kappa) ) A superheavy state becomes stable when the internal string tension overcomes the modified Coulomb repulsion threshold, defined strictly when: rho > (Deltaₐdj⁴) / (hbar³ * c⁵) 3. Theoretical Clarifications and Pre-empted Rebuttals Rebuttal to Hydrodynamization in Small Systems: Current interpretations attribute anisotropic flow (vₙ) in p-p and p-Pb collisions to the formation of a micro-Quark-Gluon Plasma (QGP). However, reaching Local Thermal Equilibrium (LTE) in low-multiplicity systems violates causality limits. The NXE-Framework resolves this by modeling vₙ not as a synthesized fluid property, but as the elastic, non-perturbative response of the pre-existing Yang-Mills vacuum. The flow is topological, not thermodynamic. On the Nature of the kappa-Parameter: kappa is not an arbitrary free parameter. It is derived from the topological susceptibility of the gauge fields (chiₜ), quantifying the degree of chiral symmetry breaking under extreme density variations. Preservation of Asymptotic Freedom: The introduction of gₑff² does not violate Gross-Wilczek-Politzer asymptotic freedom at high momentum transfers (Q² -> infinity). The kappa-modulation strictly governs the non-perturbative infrared (IR) regime (Q² ~ LambdaQCD²), where perturbative QCD inherently fails. The Z=115 Resonant Threshold: Calculations indicate that Z=115 sits at the parametric resonance point where the frequency of the unshielded strong force matches the eigenfrequency of the kappa-modulated vacuum manifold. 4. Computational Implementation The interactive model translates this formalism into real-time variables: Vacuum Rigidity Modulator: Manual manipulation of kappa 1. 0 - 5. 0 to visualize the suppression of required confinement energy. NXE Gears (Resonance Modes): Simulates coherent control mechanisms (Temporal Resonance and Topological Flux Tube generation) demonstrating how phase-matching vacuum elasticity lowers the thermodynamic cost of superheavy synthesis. Experimental Benchmarking: Real-time tracking against experimental constraints typical of heavy-ion facilities like FAIR/GSI.
Federico Albertoni (Fri,) studied this question.
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