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

instrument mechanism / verified-clean

# Photon Energy & Momentum Calculator mechanism

The inspectable method record for Photon Energy & Momentum Calculator, kept separate from implementation and qualification.

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

## Model scope

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.

- 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.

## Units and conventions

- 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.

## Inspectable vector

One of 4 source-bound review vectors:

````
{
  "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."
}
````

## Failure boundary

**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.

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/photon-energy-momentum-calculator/>)[03**Implementation**](<https://guthlabs.ai/docs/instruments/photon-energy-momentum-calculator/implementation/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/photon-energy-momentum-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`

- `BOUNDARY_HAZARD_CATALOG.json`