Neutrosophic Triplet as extension of Matter Plasma, Unmatter Plasma, and Antimatter Plasma

A {Neutrosophic Triplet}, is a triplet of the form: {\textless a, neut(a), and anti(a) \textgreater , } where neut(a) is the neutral of a, i.e. an element (different from the identity element of the operation *) such that a*neut(a) $=$ neut(a)*a $=$ a, while anti(a) is the opposite of a, i.e. an element such that a*anti(a) $=$ anti(a)*a $=$ neut(a). Neutrosophy means not only indeterminacy, but also neutral (i.e. neither true nor false). For example we can have neutrosophic triplet semigroups, neutrosophic triplet loops, etc. As a particular case of the Neutrosophic Triple, in physics one has \textless Matter, Unmatter, Antimatter\textgreater and its corresponding triplet \textless Matter Plasma, Unmatter Plasma, Antimatter Plasma\textgreater . We further extended it to an {{m-}}{valued refined neutrosophic triplet}, in a similar way as it was done for T$_{\mathrm{1}}$, T$_{\mathrm{2}}$, ...; I$_{\mathrm{1}}$, I$_{\mathrm{2}}$, ...; F$_{\mathrm{1}}$, F$_{\mathrm{2}}$, ... (i.e. the refinement of neutrosophic components). We may have a {neutrosophic m-tuple} with respect to the element ``a'' in the following way: ( a; neut$_{\mathrm{1}}$(a), neut$_{\mathrm{2}}$(a), ..., neut$_{\mathrm{p}}$(a); anti$_{\mathrm{1}}$(a), anti$_{\mathrm{2}}$(a), ..., anti$_{\mathrm{p}}$(a) ), where m $=$ 1$+$2p, such that: - all neut$_{\mathrm{1}}$(a), neut$_{\mathrm{2}}$(a), ..., neut$_{\mathrm{p}}$(a) are distinct two by two, and each one is different from the unitary element with respect to the composition law *; - also a*neut$_{\mathrm{1}}$(a) $=$ neut$_{\mathrm{1}}$(a)*a $=$ a, a*neut$_{\mathrm{2}}$(a) $=$ neut$_{\mathrm{2}}$(a)*a $=$ a, \textellipsis , a*neut$_{\mathrm{p}}$(a) $=$ neut$_{\mathrm{p}}$(a)*a $=$ a; - and a*anti$_{\mathrm{1}}$(a) $=$ anti$_{\mathrm{1}}$(a)*a $=$ neut$_{\mathrm{1}}$(a), a*anti$_{\mathrm{2}}$(a) $=$ anti$_{\mathrm{2}}$(a)*a $=$ neut2(a), \textellipsis , a*anti$_{\mathrm{p}}$(a) $=$ anti$_{\mathrm{p}}$(a)*a $=$ neut$_{\mathrm{p}}$(a); - where all anti$_{\mathrm{1}}$(a), anti$_{\mathrm{2}}$(a), ..., anti$_{\mathrm{p}}$(a) are distinct two by two, and in case when there are duplicates, the duplicates are discarded.