Source: https://guthlabs.ai/docs/instruments/photon-energy-momentum-calculator/

instrument / verified-clean

# Photon Energy & Momentum Calculator

The current ledger marks this instrument verified clean within the source-bound verification corpus.

Status: **VERIFIED_CLEAN**Lifecycle: **verified-clean**

## Inspectable records

[01**Overview**Purpose and lifecycle](<https://guthlabs.ai/docs/instruments/photon-energy-momentum-calculator/>)[02**Mechanism**Method and assumptions](<https://guthlabs.ai/docs/instruments/photon-energy-momentum-calculator/mechanism/>)[03**Implementation**Binding and validation](<https://guthlabs.ai/docs/instruments/photon-energy-momentum-calculator/implementation/>)[04**Qualification**Evidence and errata](<https://guthlabs.ai/docs/instruments/photon-energy-momentum-calculator/qualification/>)

## Ledger state

The current ledger marks this instrument verified clean within the source-bound verification corpus.

**Area**: Physics — Kinematics/Projectiles/Orbits, Forces/Energy/Momentum, Rotational Dynamics, Gravitation, Oscillations/Waves, Optics, E&M Fields, Relativity, Quantum, Statistical Thermo

**Tranche**: tranche-5

**Evidence ID**: t5-226

**Ledger rows**: 1

No ledger note is attached.

## Review findings

The core vacuum formulas are correct. The specification needs explicit SI input units, positivity constraints, a defined spectral-band table covering the full electromagnetic spectrum, and a stated vacuum scope. The honest label should not imply complete spectral classification while only listing visible, UV, IR, and X-ray.

### Formula and scope findings

- The equations E=hf=hc/λ and p=h/λ=E/c are standard for a photon in vacuum, but the specification does not state the vacuum assumption.

- The requested spectral labels are incomplete: radio, microwave, and gamma-ray regions are omitted.

- Spectral-region boundaries are convention-dependent, especially at visible/infrared and ultraviolet/X-ray boundaries; the specification does not define an inclusive boundary table.

### Unit assumptions

- Use h=6.62607015×10^-34 J·s (exact SI value).

- Use c=299792458 m/s (exact SI value for vacuum).

- Energy E is in joules, frequency f is in hertz (s^-1), wavelength λ is in meters, and momentum p is in kg·m/s.

- Input wavelengths supplied in nanometers must be converted using λ(m)=λ(nm)×10^-9.

- The formulas assume propagation in vacuum; photon momentum in a material medium requires an explicitly chosen convention and refractive-index treatment.

## Boundary hardening

**BREAK_CLAIMED** · SELF_FLAGGED

The specification exposes undefined behavior at zero frequency, an endpoint-label ambiguity at spectral boundaries, and a sign-convention hazard for negative wavelength input. A robust implementation must reject invalid zero or negative physical inputs and define inclusive spectral-band boundaries.

## Errata and corrections

No applied erratum is attached to this unique-name record.

## Inspectable example

4 review vectors are recorded. One source-bound sample is shown below.

````
{
  "inputs": {
    "f_Hz": 500000000000000
  },
  "expected_outputs": {
    "E_J": 3.313035075e-19,
    "lambda_m": 5.99584916e-7,
    "p_kg_m_per_s": 1.1051095285e-27,
    "spectral_region": "visible"
  },
  "working": "E=hf=(6.62607015×10^-34)(5.00×10^14)=3.313035075×10^-19 J. λ=c/f=299792458/(5.00×10^14)=5.99584916×10^-7 m=599.584916 nm, which is visible under a typical 380–750 nm convention. p=E/c=(3.313035075×10^-19)/299792458=1.1051095285×10^-27 kg·m/s."
}
````

## Related workflows

No source-defined multi-instrument workflow membership is recorded.

## Sources and evidence

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

- `VERIFIED_LEDGER.json · VERIFIED_CLEAN`

- `evidence-tranche5/tranche5-results.json`

- `BOUNDARY_HAZARD_CATALOG.json`