Admissibility frontier · Edition 3

Expanded claim page · assertion 1 of 3

the screened field is not the whole carrier

ConditionalTranslator

Works after a named field, coefficient, boundary condition or control is supplied. moves a structure between mathematical, physical or ordinary languages.

Exact assertion

The long-range energy-current problem has a conventional local completion when matter and finite-speed electromagnetic fields are retained together. Matter gains the work density \(\mathbf j\cdot\mathbf E\); field energy loses the same amount through Poynting continuity. Their sum therefore has a local finite-\(q\) current without assigning every Coulomb bond to one endpoint. A finite Fourier certificate closes this identity and its ordinary potential-gauge invariance.

What this commits us to

The construction is admitted only after the named additional input is supplied. The page records the dependency instead of hiding it inside the conclusion.

Logical anatomy

Scope

Chapter “The admissibility frontier”, section “the screened field is not the whole carrier”. This is assertion 1 of 3 in that section.

Evidence posture

Identify the named external input and verify that the construction follows after it is supplied.

Research move

moves a structure between mathematical, physical or ordinary languages.

Verification route

  1. Recover the declared objects and assumptions from the controlling documents.
  2. Check the calculation, construction, obstruction or stopping rule on those same objects.
  3. Compare the source conclusion with the exact assertion above; do not strengthen its verbs or enlarge its domain.
  4. Apply the status rule and retain every named external dependency.

What would move or defeat this claim

Show that the named input is inconsistent, insufficient, unavailable, or fails to imply the claimed construction.

Source map

Controlling documents