Field-Network Theory (FNT) Complete Irreducible Distinction as a Structural Definition of Quantum

Abstract

This research memorandum examines the structural definition of the quantum within Field-Network Theory (FNT). A series of internal breaking tests shows that FNT does not presently derive a universally smallest non-zero distinction. The analysis therefore separates metric smallness from completeness of occurrence. The resulting proposal is that a quantum is one complete irreducible distinction. A quantum is not defined as a smallest object, nor as a universal minimum of size, duration, energy, or mass. Its quantum character lies in the completeness of an irreducible occurrence: a structural part either realizes its own distinction and therefore constitutes another event, or it does not constitute a partial occurrence of the same event. The memorandum distinguishes this structural definition from the quantum state, which is treated as structurally open continuity prior to realized distinction. It also states explicitly what has not been established: the proposed FNT definition has not yet been shown to be identical to the quantum of physical quantum theory. Establishing that connection remains a separate mathematical and physical research problem. https://sites.google.com/view/field-network-theory