Turn math into action: declared cutpoints, clear duties, defensible timelines
7.1 What band is
Definition. band is the action stance derived from align using published numeric cutpoints in the manifest. It tells systems and humans what to do now (e.g., run, watch, stop, approve, review, block), not how a dashboard should look.
Key properties.
- Policy-bound.
band := band_from_align(align, manifest_id)via declared thresholds. - Human-facing. Maps math to duty-of-care (throttle, page, shut down, hold-for-review).
- Replayable. Anyone can recompute
bandlater fromalign+ manifest.
# canonical mapping (illustrative; declare in manifest)
band := band_from_align(align, manifest_id)
# example cutpoints (safety)
GREEN : align >= +0.50
AMBER : -0.20 <= align < +0.50
RED : align < -0.20
7.2 Why band must be declared, not improvised
Problem. Ad-hoc judgment (“seems fine”) turns into blame after incidents.
Solution. Declare bands as numeric intervals tied to explicit responses—and reference them via manifest_id in every record.
# manifest excerpt style (policy, not vibes)
bands := [
{ name:"GREEN", range:"[+0.50,+1.00)", action:"continue normal" },
{ name:"AMBER", range:"[-0.20,+0.50)", action:"throttle + heightened watch <= 30m" },
{ name:"RED", range:"(-1.00,-0.20)", action:"controlled stop + notify human <= 10m" }
]
Outcome. Operators can prove: “I followed published policy at that timestamp,” not “I guessed.”
7.3 Typical band families
Industrial / safety telemetry
GREEN -> normal operation
AMBER -> restrict (throttle, increase inspection, alert supervisor)
RED -> stop / isolate
# example numeric cutpoints declared in manifest
GREEN: align >= +0.50
AMBER: -0.20 <= align < +0.50
RED: align < -0.20
Finance / operations stability
A++ -> strong predictable rhythm
A0 -> normal jitter
A- -> unstable; investigate <= 24h
A-- -> urgent review now
# example numeric cutpoints
A++: align >= +0.80
A0 : -0.20 <= align < +0.80
A- : -0.60 <= align < -0.20
A--: align < -0.60
AI routing / decision automation
AUTO-EXECUTE -> proceed automatically under policy
HUMAN-REVIEW -> hold and route to a qualified reviewer
BLOCKED -> do not execute without elevated override
# example numeric cutpoints
AUTO-EXECUTE : align >= +0.70
HUMAN-REVIEW : +0.20 <= align < +0.70
BLOCKED : align < +0.20
Common thread. Names vary; numbers and actions are declared in the manifest and resolved through manifest_id.
7.4 How band links to escalation, routing, and control
band is designed to drive workflow, not decorate a UI. Once standardized, you can encode simple, enforceable rules:
# control examples (receiver-side)
if band == "RED" -> cut_power(Pump_7); page safety <= 10m
if band == "HUMAN-REVIEW" -> enqueue_underwriting(case_id)
if band in {"A-","A--"} -> alert_CFO_and_controller()
Because band is computed from align (bounded, replayable) and pinned to manifest_id (policy-at-time), the entire escalation trail becomes auditable: who was notified, required timing, and under which rulebook.
7.5 How band protects the human-in-the-loop
Before. The same action is later called “reckless” or “too slow.”
After SSMDE. The record proves the operator followed declared policy at that moment.
# operator defense pattern (copy-ready)
record.value -> exact facts
record.align -> bounded dial in (-1,+1)
record.band -> policy stance at that moment
record.manifest_id -> resolves numeric cutpoints + required actions
record.stamp -> proves time and order
# sample reading
{
value: { bearing_vibration_rms: 0.037, rpm: 3400 },
align: -0.28,
band: "AMBER",
manifest_id: "PLANT_A_BEARING_SAFETY_v7",
stamp: "SSMCLOCK1|2025-11-05T10:14:55Z|sha256=8fe3...|prev=71bc..."
}
Result. No scapegoating via hindsight. The policy-in-force is locked to the moment by manifest_id and stamp.
One-line takeaway (Section 7).band is not a color; it’s the action contract derived from align under a declared manifest—so humans can act quickly, systems can escalate consistently, and no one can rewrite what “continue,” “review,” or “stop now” meant after the fact.
Navigation
Previous: SSMDE – The Stamp (6.0–6.6)
Next: SSMDE – Legal Positioning and Independence (8.0–8.5)
Directory of Pages
SSMDE – Table of Contents
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https://github.com/OMPSHUNYAYA/Symbolic-Mathematical-Data-Exchange
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