SISO Collapse
Multiplication destroys its inputs. The product does not contain the factors.
1 — Collapse
2 — Contrast
3 — Fiber
Forward — (p, q) → N
×
Forward
Reverse — N → { (a,b) }
Reverse
All Pairs
Demo: 3×4 then 2×6 → same N
Forward examples
3×4
2×6
7×13
11×17
6×10
Reverse examples
12
60
91
360
17 (prime)
Mode
—
p
—
q
—
N
—
N bits
—
Fiber size
—
Selector bits
—
Type
—
SISO contract
—
Fiber — divisor pairs
Inverse Contrast
Collatz m
Multiply N
Compare
Collatz Forward Step
n
Step
Collatz Inverse Tree
root
depth
Build Tree
Demo: m=22 vs N=60
Contrast examples
m=22 N=12
m=16 N=60
m=4 N=360
m=10 N=91
Inverse Ledger
Fiber Map — ab = N
N
Show Fiber
From Pair — (p, q) → fiber of p×q
p
×
q
Show Fiber
Fiber Scan — landscape
from
to
Scan
Demo: N=60 fiber
Fiber examples
12
60
91
360
1024
17 (prime)
Selector Deficit
Lattice Points (non-trivial)
Gate Log