Time Dilation Calculator implementation

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

t5-212

Effect

Computation or source lookup only

Input and validation requirements

The formula has an undefined point at exactly |v|=c and is non-real for |v|>c. A conforming calculator must explicitly reject these inputs; silently returning infinity, NaN, or a complex value would be a boundary-handling failure.

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": {
    "v": 0,
    "v_unit": "fraction_of_c",
    "delta_t0": 10,
    "time_unit": "s"
  },
  "expected_outputs": {
    "gamma": 1,
    "delta_t": 10,
    "time_difference": 0
  },
  "working": "v²/c²=0²=0. γ=1/√(1−0)=1. Δt=γΔt0=1×10 s=10 s. Time difference=Δt−Δt0=10−10=0 s."
}

Other records

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