As a lay reader, the label 'hierarchy' seems fitting, but 'mechanistic' seems not an apt term. Do you rule out hypotheses for quantum aspects? Penrose and other hypotheses?
Seems to me the immense numbers of interactions happening in the brain at any moment, some neuroscience more or less understands and others it does not yet understand rules out any reductionistic 'mechanical' account where 'mechanics'. This may only be a question of terminology for your findings, but as someone from the humanities and 'soft' sciences, the term turns my interest off, and will likely do same for others?