Summary This paper is written to be read on its own, without other literature. It starts from three lines ofaxioms: existence and non-existence cancel (1 + (−1) = 0); perfect cancellation does not happen anda small difference remains; that difference becomes the wave, the minimal unit that stores energy,which closes on itself to become a wavon, and three wavons form a particle. For three equal partsto cancel they must be spaced at 120°, and this condition forces complex numbers.From these axioms follows a lattice of 39 seats built from three letters (a, b, c) on three sites, and inall three rooms charge is fixed by one formula Q = q₀ − Σ/3. The eight seats that contain no letter aform the dark sector. Since a is the letter through which light, magnetism, and temperature act, a-free seats do not meet light. Moreover, all six seats of the electron family contain exactly one a, sothe dark sector cannot contain electrons in principle. Without electrons the dark side has noatoms, chemistry, light, magnetism, or temperature; the charges of dark pieces are silent — they donot respond to light.Conclusion: the dark sector of our universe consists of the dark photon bbb (a photon without a,spread out) and the dark neutron bbc + bcb + cbb (charges +2/3, +2/3, −4/3 bound to 0, clustered).On the dark side a composite can close only by balance of shape; among charged dark compositesonly this form satisfies it, and its neutrality follows from that balance. The observed property ofdark energy (density unchanged as space grows) belongs not to bbb but to the background itself.All results follow from arithmetic inside the lattice; no particle, force, or charge is added. Openquestions (such as the stability of the dark neutron) are not hidden but listed in §14.
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Myung Dal SON (2026) studied this question.
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