Uncertainty permeates most real-world contexts, motivating mathematical frameworks that can faithfully represent vagueness, inconsistency, and incomplete information. Classical approaches include fuzzy sets and intuitionistic fuzzy sets. Extending these ideas, the neutrosophic framework introduces neutrosophic sets in which each element x is characterized by a triplet of independent degrees (T (x), I (x), F (x)) ∈ [0, 1]3 , representing, respectively, truth, indeterminacy, and falsity, typically subject to T (x) + I (x) + F (x) ≤ 3. This book concentrates on a selection of concepts developed and discussed in the Nidus idearum series, with particular emphasis on Neutrosophy, Plithogenic Sets, Physics, and related scientific domains. We focus on ideas that, despite their conceptual richness and potential applicability, have so far received relatively limited systematic treatment. Our aim is to present these notions in a coherent and accessible manner, in order to support further theoretical development and to encourage new applications in Neutrosophy, Plithogenic Set theory, Physics, and allied fields
