<p data-path-to-node="15,1" style="font-family:"Google Sans Text", sans-serif !important;line-height:1.15 !important;margin-top:0px !important">Dear list members,</p><p data-path-to-node="15,2" style="font-family:"Google Sans Text", sans-serif !important;line-height:1.15 !important;margin-top:0px !important">I am sharing a theoretical framework titled "The Language Funnel Hypothesis," which proposes a non-linear dynamical model to quantify the stability-plasticity tradeoff in learning systems.</p><p data-path-to-node="15,3" style="font-family:"Google Sans Text", sans-serif !important;line-height:1.15 !important;margin-top:0px !important">The model introduces a physical criterion for information consolidation. By defining a threshold <span data-math="\theta" data-index-in-node="97"><b>theta</b></span> and a variance penalty <span data-math="\sigma^2" data-index-in-node="127"><b>sigma^2</b></span>, we can mathematically predict the rate of "crystallization" vs. "fluid loss" of representations. I believe this perspective is particularly relevant to preventing Catastrophic Forgetting in both biological and artificial neural architectures, with broader implications for AGI stability and long-term system security.</p><p data-path-to-node="15,4" style="font-family:"Google Sans Text", sans-serif !important;line-height:1.15 !important;margin-top:0px !important">I would appreciate any technical feedback or rigorous critique from this community, especially regarding the information-theoretic foundations of the model.</p><p data-path-to-node="15,5" style="font-family:"Google Sans Text", sans-serif !important;line-height:1.15 !important;margin-top:0px !important">Full Paper: <span><span><a target="_blank" rel="noopener" href="https://doi.org/10.5281/zenodo.19394365" data-hveid="0" data-ved="0CAAQ_4QMahcKEwjYmKmYw9qTAxUAAAAAHQAAAAAQFg">https://doi.org/10.5281/zenodo.19394365</a></span></span></p><p data-path-to-node="15,5" style="font-family:"Google Sans Text", sans-serif !important;line-height:1.15 !important;margin-top:0px !important"><span><br></span></p><p data-path-to-node="15,6" style="font-family:"Google Sans Text", sans-serif !important;line-height:1.15 !important;margin-top:0px !important">Best regards,</p><p data-path-to-node="15,6" style="font-family:"Google Sans Text", sans-serif !important;line-height:1.15 !important;margin-top:0px !important"><span style="font-size: 0.875rem;">Natalie Shannon</span></p><p data-path-to-node="15,7" style="font-family:"Google Sans Text", sans-serif !important;line-height:1.15 !important;margin-top:0px !important">Independent Researcher</p>