Chapter 9 · Section 1
The Scale Model: What Each Drawn Thing Stands For
The BPT law
BPT's universes are defined at their true level L: the Pulsecore of level L is 4·2^L cells across, holds 16·4^L pixels (the Local Pixel Count), and its life produces 2^(L/3) wells (the Progeny Count Law). BPT does not state how such a universe is to be computed; the scale model is a game method that keeps the theory's totals while computing a smaller field. The game runs a model level Lm (Chapter 1, Part 1.10), computes its field, its wells and its matter there, and stands every one of them for its share of the true level, so the census at the end of a run, the one the theory's laws are tested against, is the true level's.
The established physics
None beyond the conservation laws: what is drawn is a sample, and the sums are the real sums. Cosmological simulations do the same; one simulation particle stands for a fixed mass of matter, often millions of Suns.
The game's math
Every drawn or simulated thing carries a multiplier, the real count it stands for:
| Thing | Multiplier | Where |
|---|---|---|
| a drawn Proto Well or well | wellMult = law ÷ drawn | wellWeight() app.js |
| a body of matter | q = real quanta ÷ bodies | sendOutMatter() app.js |
| a drawn star point | the matter's share per point | scene3d.js star points |
| a stellar well | starMult, the stars it came from | app.js |
The census the theory compares against (the Progeny Count Law at the final well, the matter's mass, the light of the stars) is always taken with the multipliers, so a phone and a desktop report the same universe.
The scale model
This part is the scale model.
Fixed numbers
None.