The LIØNSBERG Adoption Curve, and Loss Rate as the limiting variable

A hypothesis about how the Way spreads — small groups, reciprocal, expanding by a fixed ratio each cycle — and the finding that what limits it is not motivation or message but loss rate.

The model is stated as a hypothesis and should be read as one. Adoption happens in small groups who help one another learn, localise, and adapt, rather than by broadcast: group size 3 to 20, averaging about seven (Cell · Human-Scaling). Expansion proceeds by roughly the golden ratio per reciprocal cycle (Fibonacci Spread · Fibonacci). On those assumptions, and with no losses at all, the count passes a billion groups on the forty-fourth cycle.

Then the honest part. Add attrition — people who accept and drift, Cells that form and dissolve — and the arithmetic changes far more than intuition expects:

Doubling the loss rate does not double the effort; past a point it multiplies it beyond any available time. Loss rate, not enthusiasm, is the limiting variable — and the practical consequence is blunt: a season spent making the experience better for the people already here buys more than a season spent reaching more people. The canon's own stated hypothesis is that continuously improving the community, the instrument, and the lived experience can hold loss below twenty per cent.

These are estimates, not measurements — an arithmetic model with parameters chosen in advance, published so it can be falsified. Every number above depends on assumptions (average group size, a golden-ratio expansion, a uniform loss rate) that no one has yet tested at scale, and the schedule the model is paired with is now historical (LIØNSBERG Cycles of Growth and Cycle Time · 10 Billion People In 10 Years). What survives the dates is the shape of the finding, and one instruction that needs no arithmetic at all: if the movement dies, begin again with a new group of at least three, and never give up — no matter how difficult, dangerous, or embarrassing it gets.

Also called: the adoption curve · loss rate · the LIØNSBERG Loss Rate Stands on: Cell · Fibonacci Spread · Hypothesize · Measurement Opens onto: LIØNSBERG Cycles of Growth and Cycle Time · Tipping Point Strategy · 10 Billion People In 10 Years · The First Three Percent · Grow Your Cells · Self-Sustenance and Self-Replication · Pass The Flame · Drift · Disbanding · Continuous Improvement · The Score · Honesty about time · Human-Scaling In play: beyond — the number a body watches once it has more than one Cell Sources: LIØNSBERG Adoption Curve (root page, draft; states itself a hypothesis and gives its parameters) · LIØNSBERG Cycle Time (root page, draft) · Audit Ledger memo R-5 ("Loss Rate is the Limiting Variable") · lionsberg.wiki: LIØNSBERG Adoption Curve Open: The loss-rate table is arithmetic on assumed parameters, not observation; no loss rate has ever been measured. · The model's dates (a 2022 start, a 2029 finish) have passed or shifted, and the page has not been re-based. · The canon's Tipping Point Strategy carries no loss term at all, so the two strategy pages predict different things and neither refers to the other. · Expansion rate is given as "under 42" with no unit, and appears to mean days per cycle rather than a multiplier.