Source: https://guthlabs.ai/docs/instruments/relativistic-velocity-addition-calculator/implementation/

instrument implementation / implementation-contract

# Relativistic Velocity Addition Calculator implementation

A source-bound implementation contract for Relativistic Velocity Addition 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**: t5-218

**Effect**: Computation or source lookup only

## Input and validation requirements

The formula returns an undefined 0/0 result at u=1, v=-1 unless the input is rejected. It also produces a superluminal numerical result for an input just beyond the physical validity boundary, u=0.5 and v=1.001, contrary to the stated no-superluminal-result behavior unless validation rejects that input.

## 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": {
    "u": 0.6,
    "v": 0.5,
    "units": "fractions_of_c"
  },
  "expected_outputs": {
    "u_prime": 0.8461538462,
    "u_prime_exact": "11/13",
    "units": "fraction_of_c"
  },
  "working": "u'=(u+v)/(1+uv)=(0.6+0.5)/(1+(0.6)(0.5))=1.1/(1+0.3)=1.1/1.3=11/13=0.8461538462."
}
````

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/relativistic-velocity-addition-calculator/>)[02**Mechanism**](<https://guthlabs.ai/docs/instruments/relativistic-velocity-addition-calculator/mechanism/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/relativistic-velocity-addition-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`