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## Phase 1A — Lₜ/Rₜ National Back-Test Scaffold
**Created and developed by:** Collin D. Weber
**Framework:** Primordial Calculus / HIR × OAM
**Role:** Systems Architect / Systems Integrity Steward
**Status:** Public aggregate calibration plan, not completed empirical validation.
## Purpose
This note defines a narrow, falsifiable Phase 1A scaffold for testing whether aggregate erosion in labor-time retention and rest/recovery bandwidth can be detected before downstream repair-collapse markers rise.
## Variables
- **Lₜ** = labor-time retention
- **Rₜ** = rest / recovery bandwidth
- **T_LR,t = √(Lₜ · Rₜ)**
Full Time Sovereignty extension under development:
```text
S_eff,t = AₜBₜ · Tₜ^η − Pₜ[1 + κ(1 − Tₜ)]
```
## Dataset spine
**Lₜ sources**
- BLS ATUS for time use / work time / work-related travel
- BLS CPS for work hours / multiple-job holding / labor-force pressure
- ACS/PUMS for commute burden / geography / household structure
**Rₜ sources**
- BLS ATUS for sleep/rest/recovery time
- CDC/NCHS/BRFSS for short-sleep and sleep-health proxies
- BLS National Compensation Survey / Employee Benefits for paid leave access
## Derivation method
```text
winsorize → normalize 0–1 → invert harmful indicators → geometric mean → erosion flag
```
## Pseudocode skeleton
```text
for year, location in dataset:
L_raw = {work_hours, multiple_job_rate, commute_burden, work_travel, schedule_instability}
R_raw = {sleep_sufficiency, paid_leave_access, recovery_time, short_sleep_inverse, burnout_proxy_inverse}
L_w = winsorize(L_raw)
R_w = winsorize(R_raw)
L_n = normalize(invert_harmful(L_w))
R_n = normalize(invert_harmful(R_w))
L_t = geom_mean(L_n)
R_t = geom_mean(R_n)
T_LR_t = sqrt(L_t * R_t)
P_proxy = compute_pressure_markers()
if dT_LR_t < 0 and P_proxy rising:
flag_erosion()
```
## Required claim language
Preliminary patterning suggests Lₜ/Rₜ erosion may be detectable before some downstream repair-collapse markers in select periods, but this remains a hypothesis until the full back-test is run.
## Boundary
- aggregate public data only
- no individual risk scoring
- no child profiling
- no carceral prediction loop
## Core test
Can aggregate erosion in labor-time retention and rest/recovery bandwidth be detected before downstream repair-collapse markers rise?
Money is the proxy.
Time is the substrate.
Repair is the target.
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