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A Revision of Condensed Matter Nuclear Reaction Theory: Existence Refresh and Motion Penetration

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Zenodo
DOI
10.5281/zenodo.20808765

This paper presents systematic revisions and refinements to several key theoretical issues within the Constrained Quantum Geometry framework. First, based on the physical picture of the coherent volume acting as a momentum–energy absorber, the mechanism of fusion branch selection is revised: the dominance of the ⁴He channel in condensed matter originates from the coherent volume carrying away recoil momentum and energy through collective excitations, thereby eliminating the quantum cost of γ-photon emission; when the coherent volume is insufficient, the system is forced to select the particle-channel branches to naturally satisfy conservation laws. Second, the confinement volume in the geometric probability is revised from a cube to a sphere of diameter L, yielding P_geom = 8r_N³/L³. Third, the complete dynamical mechanism of the refresh rate is clarified: refreshment is the result of competition between coherence (which delocalizes the wavefunction) and decoherence (which collapses it); the effective refresh rate is constrained by both the amplitude and frequency of coherent oscillations—only when a sufficient number of LCUs generate coherent oscillations of adequate amplitude can the wavefunction become fully delocalized over the entire confinement space; the saturation refresh rate is the outcome of a coherence–decoherence dynamic equilibrium, and whether its upper limit can be further raised requires experimental investigation. Fourth, the concept of temperature in the description of the local thermal fusion branch is abandoned and replaced by a pure energy description: the 3–4 MeV energy released by the particle-channel branches imparts keV-level kinetic energy to neighboring particles, thereby triggering secondary fusion via the motion penetration mechanism, coexisting with the existence-refresh branch in low-coherence regions. This paper no longer relies on quantitative fitting of historical experimental data. Instead, based on purely theoretical qualitative analysis, it establishes the engineering inevitability of the existence-refresh mechanism: when the confinement scale L < 0.1 nm, the geometric probability P_geom is of order 10⁻¹³–10⁻¹⁴; the effective refresh rate is determined jointly by the frequency and amplitude of coherent oscillations; increasing the physical volume directly increases the number of LCUs participating in coherent oscillations, thereby overcoming the amplitude threshold. On this basis, the core engineering strategy is proposed: expand the reaction volume from the historical <1 L to 1 m³, adopt multiple acoustic resonance triggers, and implement effective thermal management to raise and sustain the refresh rate.

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