The Nested Dimensions of the Plenum: Resonant Etheric Dynamics (TDRE): definitions of the dimensions, gravity, the dark sector and the matter-antimatter asymmetry

Resonant Etheric Dynamics (TDRE) describes space as a discrete medium, the plenum, made of massless constituents (etherons) in motion, in which energy is motion and every physical entity is a collective state. This work defines the dimensions of the plenum and derives their consequences. A cell is a closed circulation of etherons (a vortex); one cycle of a cell carries one quantum of action h. Cells tile in a hexagonal lattice and nest: we show that the minimal whole-cell nesting with hexagonal symmetry contains 7 cells, that each nesting step is rotated by arctan(√3/5) = 19.107◦, and that exact three-dimensional self-similarity requires a step of ×7 in size and ÷7 in frequency. A dimension is a frequency plane containing 72= 8×9 steps, from its elementary cell to its edge; there are eight dimen- sions, nested in increasing frequency, contained in a ninth (the bubble). Adjacent dimensions share one frequency, that of the elementary cell of the lower one: this neck is an inter-realm without space and without topological matter, crossed by self-conjugate (Majorana) monopoles that carry the return of the gravitational flux. With a single rule for etheron–vortex collisions (capture or rejection accord- ing to alignment) and no adjusted parameters, the framework gives: an elementary cell of 6.4 Planck lengths (TDRE v4: 7.4); an edge of our dimension at 7.2×1026 m, i.e. 1.6 times the observable radius (observable universe at 71.1–71.7 steps, edge at 72); a dark-energy density of the right order of mag- nitude across 121 orders; a dark-to-ordinary matter ratio of 5.0–6.0 (observed 5.36); the acceleration scale of the radial acceleration relation, c2/R72 = 1.24 ×10−10 m s−2 (observed 1.20 ±0.02 ±0.24); and a matter–antimatter asymmetry of 2 ×10−10 per formation event (observed 6.1 ×10−10 baryons per photon). Each statement is labelled as derived, postulated, compared or predicted, and the choices made after seeing data are stated explicitly.