The Two Thinnings, and the Shapes

Two kinds in the census. A held record — a rock — is a three-dimensional coupling that has mass; its information propagates under constraint while gravity holds it in place against the stiffness of the substrate, and the record persists. A running reading — light — is the line.

Light pays the stretch. As the room grows, a held record pays the room: its share of the census thins with the volume, three dimensions. A running reading pays the room and its own line: the line is itself pulled long as the room grows, so light thins by four. The extra dimension is not a slight tip. The ε is the per-tick shed; the extra dimension is its integral over the room’s whole growth — AP45’s SHED line, the line that integrates.

The shapes. Under the equation of §5 a census thinning by a count n grows the room as t to the power 2/n while it dominates. While light outweighs the records, t^2/4 = t^½. Once the records outweigh light, t^2/3. These are the standard equation’s radiation-era and matter-era solutions; what is the corpus’s in them is the counts — the room’s three, the line’s one, the balance’s two — and the sky’s two shapes are the counts read back.

The alternative, shown dead. The four was stated first; the author then asked whether the line’s extra dimension might instead be the same +1×ε, the slightest tip of the scale, rather than a whole dimension. Run side by side: with light thinning by three plus ε the first era’s shape is indistinguishable from the second’s, and the relic glow could not be what it is. The glow is 3000 K stretched to 2.725 K, a factor of eleven hundred — the line paying the whole stretch. Four stands on its derivation; three plus ε is eliminated by the glow, which is data doing what KS-CCC.1 lets data do — eliminate, not generate.