Source: https://guthlabs.ai/docs/instruments/length-contraction-calculator/implementation/

instrument implementation / implementation-contract

# Length Contraction Calculator implementation

A source-bound implementation contract for Length Contraction Calculator; deployment and executable qualification remain separate.

Status: **VERIFIED_CLEAN**Lifecycle: **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**: t5-215

**Effect**: Computation or source lookup only

## Input and validation requirements

The formula is undefined at exactly |v/c|=1 and for |v/c|>1. An implementation that does not validate the domain can produce division-by-zero, NaN, or misleading outputs. The input convention must also enforce that v is a dimensionless fraction of c.

## 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": {
    "L0": 2,
    "L0_unit": "m",
    "v": 0,
    "v_unit": "fraction_of_c"
  },
  "expected_outputs": {
    "L": 2,
    "L_unit": "m",
    "gamma": 1
  },
  "working": "β=0.00. γ=1/√(1−β²)=1/√(1−0)=1/√1=1. L=L0/γ=2.0/1=2.0 m."
}
````

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/length-contraction-calculator/>)[02**Mechanism**](<https://guthlabs.ai/docs/instruments/length-contraction-calculator/mechanism/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/length-contraction-calculator/qualification/>)

## 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`