Blackbody Color Temperature → RGB Approximation implementation

A source-bound implementation contract for Blackbody Color Temperature → RGB Approximation; deployment and executable qualification remain separate.

Status: VERIFIED_CLEANLifecycle: implementation-contract

Binding contract

This record describes what an executable surface must bind and validate. It does not claim that a public calculator, package, or production route is deployed.

Record owner: Guth Instruments
Lifecycle: verified-clean
Evidence ID: t5-034
Effect: Computation or source lookup only

Input and validation requirements

The approximation has an observable discontinuity at the t = 66 branch boundary: 6600 K produces approximately (255,255,253), while 6601 K produces approximately (255,252,255). Inputs at or below 0 K also reach ln(0) or an invalid logarithm and must be rejected.

Required corrections

No binding erratum is attached to this unique-name record. Implementers must still preserve the declared units, domain, and failure behavior.

Inspectable interface fixture

The sample below is evidence for interface and validation tests, not a production implementation.

{
  "inputs": {
    "temperature_K": 1000
  },
  "expected_outputs": {
    "R": 255,
    "G": 68,
    "B": 0
  },
  "working": "t=1000/100=10. R=255 because t<=66. G=99.4708025861*ln(10)-161.1195681661=99.4708025861*2.302585093-161.1195681661≈229.03999-161.11957=67.92042→68. B=0 because t<=19. Result=(255,68,0)."
}

Other records

01Overview 02Mechanism 04Qualification

Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

VERIFIED_LEDGER.json
evidence-tranche5/tranche5-results.json