Theoretical Supplement to Condensed Matter Nuclear Reactions: Global Cold Fusion and Local Thermal Fusion

This paper systematically elaborates two key supplementary mechanisms in the Constrained Quantum Geometry framework: the activation memory effect and the localized thermalization clustering phenomenon. The activation memory effect refers to the fact that after a material has successfully established a global broadcast signal for the first time, even after degassing and long-term storage, reloading the gas allows it to skip the long activation period and directly enter a high‑fusion‑rate state. This paper argues that the physical origin lies in the mechanical modulation of local material structures by the global broadcast — frequency‑locked coherent phonons, through stress annealing and local polarization, form “local coherent islands” with extremely long relaxation times, which serve as the physical carriers of memory. Localized thermalization clustering refers to the appearance of local thermal bursts lasting seconds to tens of seconds in an otherwise macroscopically steady fusion power output, accompanied by transient opening of particle channels and neutron bursts. This paper argues that the physical origin is an upper limit on the collective absorption of ordered energy by the coherent volume. When the local fusion event density becomes too high and the ordered energy accumulation rate exceeds the intrinsic absorption rate of the collective oscillation modes, the excess energy thermalizes locally, the temperature spikes briefly satisfying the conditions for hot fusion, and a hot‑fusion‑like branch opens. Under localized thermalization, the fusion mechanism can be described simultaneously by the “Motion‑Penetration” paradigm (thermal kinetic energy overcoming the Coulomb barrier) and the “Existence‑Refresh” paradigm (spatial coincidence upon wavefunction collapse); when coherence deteriorates, the branch selection is instantaneously determined by the coherence state within the Existence‑Refresh paradigm — high coherence selects the ⁴He channel, low coherence selects the particle channels. The complete reaction equation D + D + 2e⁻ → ⁴He + 2e⁻ + coherent energy reflects the conserved role of electrons in the reaction. The theoretical analysis in this paper provides a unified and self‑consistent explanatory framework for long activation periods, memory effects, thermal burst clustering, and transient neutron bursts observed in experiments, and gives clear engineering implications.