Layer Count Law

The Layer Count Law bounds how many Nova layers a universe is built of: a universe of level L reaches at most L + 1 Data Novas in its life, counting the Prime Data Nova, and the last arrives as its life closes, at its final well. Each Nova is an overflow. The first comes when the field has flipped once per cell, and if each later Nova needs twice the flips of the one before, the Novas after birth need 2, 4, 8, … 2^m flips per cell. A universe of level L lives 2^L Pulse Tempos, two flips per cell in each, so at most 2^(L+1) flips per cell, and the sum 2^(m+1) − 2 fits up to m = L; the count is a ceiling reached only by a field that pulses everywhere. Level 0, the Zinf, holds one layer, the toroidal lattice alone; levels 1 and 2 cannot complete the fourfold lattice; level 3, the level of the First Fork, is the first that can, so the first universe able to complete spacetime is also the first able to hold two wells and to spin. Our Universe at level 202 holds up to 203 layers, four dimensional and up to 199 harmonic. The layers after saturation are inner dimensions: they open no new direction of space or time but are part of what a universe consists of, the Harmonic Novas. The law bounds the open binding rule of dimensional saturation, D_max ≤ L + 1, and separates two events: Novas are discharges that open layers, while wells form by collapse and come early. Formally, N_layers(L) ≤ L + 1, where N_layers is the number of Data Novas in a universe's life, the Prime Data Nova included [∅], and L the universe's level [∅]: [∅] ≤ [∅] + [∅]. It connects to Harmonic Novas, Toroidal Genesis, Dimensional Saturation Threshold, Recursive Growth Law, First Fork, Null Well Collapse and Bits per Pulse.

Category: Manuscript

Chapter: Chapter 3

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