# PAPER_2170 — Route Families and the No-Negligible-Bin Doctrine: Amending PAPER_2144 from Winner Selection to Family Registration

**Author:** Daniel T. Murphy
**Project:** UQFF (Unified Quantum Field Framework) — Star-Magic
**Date:** 2026-08-13
**Landmark Type:** Doctrine amendment (Daniel's ruling, verbatim basis) — PAPER_2144 selection
rules reframed; DUPLICATES ledger re-read corpus-wide
**Authority:** Daniel T. Murphy, 2026-08-13: *"DON'T MANY CONSTANTS HAVE FAMILIES OF SOLUTIONS
YOUR CALLING DUPS? THERE IS NO SUCH THING AS PERFECTION WHEN WE ARE MEASURING FROM A MOVING
POSITION, OBSERVING OBJECTS THAT [ARE] ALSO IN CONSTANT MOTION. SOME SOLUTIONS ARE LESS ACCURATE
THAN TH[EIR] COUSINS; HOWEVER, THE EVOLUTIONARY SIMULATION REQUIRES ALL MAGNITUDES OF NEGLIGIBLE
IMPERFECTION."* And 2026-06: *"THEY ARE ALL SIMULTANEOUSLY CORRECT... DISAGREEMENT POINTS ARE
WHERE MY SYSTEMS CROSS, NOTHING IS NEGLIGIBLE."*
**Status:** Formal landmark whitepaper — UQFF canonical

---

## Abstract

PAPER_2144's canonical-route selection rules were written to fill a registry column that holds
one route per constant. Applied as physics, that column created a winner-take-all frame: routes
"superseded," "relegated," "pending adjudication," and a DUPLICATES ledger whose very name
implies a trash bin. Daniel's ruling corrects the frame. Constants in UQFF have **families of
solutions** — one per calculation system that reaches them — because every measurement is taken
from a moving position observing moving objects. A route's residual is its system's honest
parallax, not an error ranking; the offsets *between* family members are crossing offsets, which
the H_0 case already proved can themselves be exact physics (the 1/12 tilt). This landmark
amends the doctrine: the canonical column is redemoted to **consumption default** (engineering
bookkeeping only), route families become the first-class physics object, inter-route deltas
become recorded observables, and the DUPLICATES ledger is re-read corpus-wide as the **FAMILY
ledger**. Nothing is negligible; there is no bin.

---

## 1. The Two Readings of "Canonical"

| | Old reading (implicit, wrong) | New reading (this doctrine) |
|---|---|---|
| Canonical route | the *true* derivation; others relegated | the **consumption default** — what the calculator returns when a consumer does not specify a system |
| Other routes | duplicates / superseded / pending elimination | **family members** — each tagged with its source system, permanently first-class |
| Residual differences | error to minimize; pick the smallest | each system's **parallax from its own position**; a measured property of that system |
| Inter-route offsets | discrepancies to reconcile | **crossing offsets** — candidate exact structure (H_0 precedent: 73/67.4 → 13/12) |
| DUPLICATES ledger | deduplication record | **FAMILY ledger** — the registry of recurrences and route families |

PAPER_2144's operational content survives intact where it belongs: choosing the consumption
default still prefers exact integer identities, simpler forms, physical interpretability, and
non-compounding couplings, and the **pre-swap coupling verification** rule still governs any
change of default. What is removed is the implication that the default's siblings are lesser
physics.

---

## 2. The Founding Family: α

Three wired routes, three systems, all permanently first-class:

| System | Route | Value | Parallax |
|---|---|---|---|
| Vacuum-ledger | Λ_ledger = 1/(8π·β_i·UA·(13/3)²) (PAPER_2169) | 1/137.0301 | 0.0043% |
| Integer lattice | P1549 mantissa, lead A_5·K_Mex = 125 | 137.04 | 0.0029% |
| Projection | PAPER_591 chain | — | 0.138% |

**Consumption default: the ledger route (PAPER_2169)** — it carries the physical mechanism
(ledger saturation per interaction) and explains the seven Λ_ledger consumers; the lattice route
is the precision cross-check; the projection route is the projection system's view. The
OPEN_RULING "pick one" flag is WITHDRAWN and replaced by this family registration. The three
pairwise deltas (0.0014%, 0.0072%, 0.135%) are recorded as observables under study — the
crossing offsets of three systems meeting at one constant.

Existing families retroactively recognized under the same reading: H_0 (two kernels + tilt =
1/12, the proof case), Ω_Λ (holographic (6/5)·SSq + sequential composition), Λ (open-space
PAPER_2094 + mass-anchored ledger chain — the dual manifestation was this doctrine avant la
lettre), Fe-56 BE/A (nuclear-bucket route + polynomial route), τ_n (hierarchy template
bottle/beam + average route — **the pending "which supersedes" ruling is likewise dissolved:
both are family members; the template resolves methods, the average route resolves the PDG
mean**), π and the transcendentals (multiple compositions in the reservoir).

---

## 3. The Evolutionary-Simulation Requirement

Daniel's design intent (canonized): the simulation that evolves these systems **requires all
magnitudes of negligible imperfection as inputs.** Discarding a 0.1%-parallax route because a
0.003% cousin exists deletes exactly the data the evolution runs on — the spread is the signal.
Operationally: no route, once wired with an honest residual, is ever removed or downgraded for
accuracy reasons alone. Removal requires a structural falsification (PAPER_2161 scorekeeping),
never a precision comparison.

---

## 4. Standing Rules (canonized)

1. **Family registration replaces route adjudication.** New derivations of an already-wired
   constant are registered as family members with system tags — never as challengers. Rule B
   (one dispatch per paper) already gives each its wiring site.
2. **Consumption default is bookkeeping.** Changing it follows PAPER_2144 operational rules +
   pre-swap coupling verification, and implies nothing about the siblings.
3. **Deltas are data.** Every family's pairwise offsets are recorded in the FAMILY ledger;
   exact-rational offsets (the 1/12 class) are landmark candidates.
4. **FAMILY ledger re-reading (correction by reference):** every existing
   `UNIFIED_REGISTRY_DUPLICATES.csv` row is re-read as a family record. The filename is
   retained for ship-protocol stability (23-file charter unchanged); the semantic is corrected
   here, zero per-row touches — PAPER_2155/2156 mechanism.
5. **No negligible bin.** The words "superseded," "relegated," "duplicate" applied to honest
   routes are retired from future wiring language; "family member," "system view," "consumption
   default" replace them.

---

## 5. Wiring

```
uqff_calculator.py
    DISPATCH['PAPER_2170'] -> the alpha founding family (three routes, system tags, live
                              pairwise deltas), the doctrine table, retroactive family census
```

Gate assertions pin: three α routes all present and unmodified, pairwise deltas computed live,
the consumption-default tag, the withdrawal of the OPEN_RULING pick-one flag, the τ_n
dual-route dissolution, and the retirement of bin language from this dispatch forward.

---

## NOT REPLACEMENT

Conventional metrology also maintains multiple determinations of constants and studies their
tensions (CODATA input comparisons); UQFF's version makes the family structure and its offsets
first-class framework objects tied to named calculation systems.

---

## Cross-references

Daniel's rulings 2026-08-13 + 2026-06 (verbatim basis), PAPER_2144 (amended — operational rules
retained, verdict semantics removed), PAPER_2169/1549/591 (the α family), PAPER_2125/2144
(H_0 proof case), PAPER_2148/2153 (Λ dual manifestation — precedent), PAPER_2157/1726 (τ_n
family, ruling dissolved), PAPER_2155/2156 (correction-by-reference mechanism), PAPER_2161
(falsification-only removal).

**Copyright** — Daniel T. Murphy / Star-Magic Research Program, 2026.
