Photon Energy & Momentum Calculator mechanism

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

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