## Field Tubes and Bisurfaces in the Electromagnetism

**Authors:** Radi I. Khrapko

Faraday's field lines are not enough for an adequate graphical representation of electromagnetic
fields, It is necessary to use bisurfaces, The bisurfaces and field tubes replacing the field
lines permit to represent evidently for example how electric current creates magnetic field
and electric field produces scalar potential field,
A conception of differential forms and contravariant tensor densities is used, We say that
an exterior derivative of the form or a divergence of the density result in boundaries of the
geometric quantities, The integration of the quantity by the Biot-Savarat formula results in a
new quantity, We name the quantity a generation, Generating from a generation yields zero,
So generations are sterile as well as boundaries are closed. A conjugation is considered The
conjugation converts a closed quantity to a sterile quantity and back, The conjugation differs
from the Hodge operation, The conjugation does not imply a dualization, Chains of field and
an analog of Hodge decomposition theorem are considered

**Comments:** recovered from sciprint.org

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### Submission history

[v1] 25 Mar 2007

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