de Broglie Wavelength Calculator mechanism

Model scope

The core non-relativistic and momentum forms are standard and numerically testable. Verdict is NEEDS_REVIEW because the relativistic option and the atomic-scale comparison are not mathematically specified, and the honest label does not identify the actual relativistic equations or input constraints.

• λ=h/p is the standard de Broglie relation when p is momentum, and λ=h/(mv) is correct only in the non-relativistic approximation p=mv.
• The claimed relativistic option is underspecified: no relativistic momentum formula or kinetic-energy-to-momentum formula is provided. For relativistic velocity, p=γmv with γ=1/sqrt(1-v²/c²); for relativistic kinetic energy K, p=sqrt(((K/c)+mc)^2-(mc)^2), equivalently p=sqrt(K²/c²+2mK).
• The output claim 'comparison to atomic scale' has no defined reference length or comparison formula, so that output cannot be verified.

Units and conventions

• h=6.62607015e-34 J·s exactly.
• Mass must be supplied in kilograms, momentum in kg·m/s, velocity in m/s, kinetic energy in joules, and wavelength is returned in meters.
• The mass presets are assumed to use electron mass 9.1093837e-31 kg, proton mass 1.67262192369e-27 kg, and neutron mass in kilograms.
• The velocity formula λ=h/(mv) assumes non-relativistic motion, sufficiently far below the speed of light.
• If atomic-scale comparison is implemented, its reference scale must be explicitly specified, for example 1e-10 m; no such assumption is made here.

Inspectable vector

One of 4 source-bound review vectors:

{
  "inputs": {
    "mode": "velocity",
    "particle": "electron",
    "mass_kg": 9.1093837e-31,
    "velocity_m_per_s": 1000000,
    "h_J_s": 6.62607015e-34
  },
  "expected_outputs": {
    "wavelength_m": 7.2738951e-10
  },
  "working": "p=mv=(9.1093837e-31 kg)(1.000000e6 m/s)=9.1093837e-25 kg·m/s. λ=h/p=(6.62607015e-34 J·s)/(9.1093837e-25 kg·m/s)=0.72738951e-9 m=7.2738951e-10 m."
}

Failure boundary

BREAK_CLAIMED · SELF_FLAGGED

The specification leaves hazardous edge behavior unresolved: zero momentum causes division by zero, v=c is outside the non-relativistic model although plain arithmetic produces a value, and signed velocity can produce a negative wavelength unless magnitude and direction conventions are separated.

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