One of the interesting features of neoclassical macro is the vagueness of how the models are supposed to work. One can find popularisations of General Relativity which are meant to be understood by people who just took high school physics. And if one has the misfortune of studying tensors and manifolds, one might even have a chance of guessing at the mathematics behind the explanations. I have not seen anything remotely useful for neoclassical macro at a general reading level, while the more technical introductions have the defect of being expressed in what is best described as “economist mathematics.”
Mountain Goat came to the following conclusion
"However, Sims states that Taylor’s original intuition is not how the Taylor rule works in the standard NK model. Instead, the central bank uses the Taylor principle to rule out indeterminacy by creating explosive inflation dynamics. If inflation gets above target the central bank increases inflation further, ensuring that the inflation rate eventually goes to infinity. Somehow solutions with infinite inflation in inflation are ruled out, and so by destabilising the economy the central bank ensures inflation will stay on target."
The article is worth your time if you haven't read it already: https://themountaingoateconomics.com/2023/07/24/new-keynesian-macroeconomic-models-are-worse-than-you-think/