Hybrid Neutrosophic Triplet Ring in Physical Structures

\textbf{~}The Hybrid Neutrosophic Triplet Ring (\textit{HNTR}) is a set M endowed with two binary laws (M, *, {\#}), such that: a) (M, *) is a commutative neutrosophic triplet group; which means that: - $M $is a set of neutrosophic triplets with respect to the law * (i.e. if $x $belongs to $M$, then \textit{neut(x) }and \textit{anti(x)}, defined with respect to the law *, also belong to $M)$; - the law * is well-defined, associative, and commutative on $M $(as in the classical sense); b) (M, {\#}) is a neutrosophic triplet set with respect to the law {\#} (i.e. if $x $belongs to $M$, then \textit{neut(x) }and \textit{anti(x)}, defined with respect to the law {\#}, also belong to $M)$; - the law {\#} is well-defined and non-associative on $M $(as in the classical sense); c) the law {\#} is distributive with respect to the law * (as in the classical sense).