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docs: add BMVR BVMR AVMR CMR receipt quotient

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Allaun Silverfox 2026-05-09 19:51:46 -05:00
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0-Core-Formalism/receipts/universe_model_orbit_zoom_semiautonomous_protocol.md
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@ -167,6 +167,59 @@ zero-torque equilibrium
If beta-step dissipates energy and receipts replay, ADMIT_LOCAL_CORRECTION. If the residual forms a bounded stable scar, HOLD_AS_SCAR and route to FAMM. If energy grows unbounded, receipt is missing, or an assigned value is treated as derived, QUARANTINE.
## Bernoulli / Vector / Combination Receipt Layer
Bernoulli trials provide the smallest useful stochastic control primitive for semiautonomous routing: a one-bit witness with probability mass attached.
```text
BMVR = bit-first Bernoulli receipt
BVMR = vector-first Bernoulli gate receipt
AVMR = algebraic vector composition receipt
CMR = quotient/composition receipt: AVMR / BVMR
```
Meaning:
```text
AVMR = algebraic/vector possibility space
BVMR = Bernoulli-gated vector receipt space
CMR = combination receipt after failed branches are divided out
```
The quotient form is:
```text
AVMR / BVMR = CMR
```
The division is not ordinary scalar division. It means quotienting the vector-combination space by failed Bernoulli gates.
Tight definition:
```text
CMR = { combine(v_i, v_j, ...)
| AVMR verifies composition
and BVMR(v_k).outcome = 1 for each participating vector }
```
Short operational form:
```text
BVMR gates the vectors.
AVMR combines the survivors.
CMR receipts the combination.
```
Safety rule:
```text
collapse is not permission;
BVMR gate pass is permission to enter AVMR composition;
CMR is the replayable result.
```
This gives semiautonomous routing a bounded combinatorial layer. The system can explore combinations without letting every possible combination become real. Only gated survivors become receipt-bearing state.
## Equation Sniffer Routing
The phi-prime probe pings the Equation Forest, but the Equation Sniffers decide what kind of trail the ping produced.
@ -271,4 +324,7 @@ The Equation Sniffers classify the scent.
The Underverse gets the bill.
FAMM follows the scar.
Warden checks the receipt.
BVMR gates the vectors.
AVMR combines the survivors.
CMR receipts the combination.
```