This paper provides a systematic exposition of two key supplementary mechanisms within the constrainedquantum geometry framework: the activation memory effect and the local thermalization clusteringphenomenon. The activation memory effect refers to the phenomenon whereby a material, after successfullyestablishing a global broadcast signal for the first time, can skip the lengthy activation period and directly entera high fusion rate state even after degassing, prolonged shutdown, and reloading. This paper argues that itsphysical origin lies in the mechanical modulation of the material’s local structure by the global broadcast—frequency-locked coherent phonons, through stress annealing and local polarization, form “local coherenceislands” with extremely long relaxation times within the material, and these coherence islands constitute thephysical carriers of memory. The local thermalization clustering phenomenon refers to the occurrence of localheat bursts lasting several seconds to tens of seconds amidst macroscopically stable fusion power output,accompanied by the transient opening of particle-emission channels and neutron bursts. This paper argues thatits physical origin lies in the existence of an upper limit to the collective absorption of ordered energy by thecoherence volume. When the local fusion event density is too high and the rate of ordered energyaccumulation exceeds the intrinsic absorption rate of the collective oscillation modes, the excess energythermalizes locally, and the temperature surge briefly satisfies the conditions for hot nuclear fusion, opening ahot-fusion-like branch. This branch is a secondary effect within the overall cold fusion framework—cold fusionitself does not require thermal energy to drive it, but the thermalization of fusion-released energy, if notextracted in time, is an inevitable consequence of energy conservation. The theoretical analysis in this paperprovides a unified and self-consistent explanatory framework for experimental phenomena such as longactivation periods, memory effects, heat burst clustering, and transient neutron bursts, and yields clearengineering implications.