The Poynting integral is a quantity quadratic in the e.m. field
. Recall that to determine this quantity
experimentally and to validate it as a Maxwell field requires *two*
distinct measuring processes. The first one measures the magnitude and
the direction of the e.m. field quantities. This is usually done with
an antenna, a radio receiver, and a volt meter. The second one
ascertains the place and the time of this receiving antenna in
relation to the dipole source. This is usually done optically. The
physicist illuminates his receiving antenna with optical radiation.

The experimental determination of the e.m. field quantities consists then of establishing a quantitative relation between the results of the two measuring processes, the optical measurements and those obtained with the receiving antenna. The augmented Larmor formula, Eq.(1), is an example of such a relation. The independent variable is measured optically. The dependent variable (flow of radiant energy into the direction of acceleration) is measured with the receiving antenna. The -measurements consist of identifying the relationship between observation events in and the tickings of the expanding reference clock AB in Figure 9. This clock also serves to make the -measurements of the source events in , but only after their coordinates have been transferred (by means of the ``radar map'') from to as illustrated in Figure 13.

An obvious feature of Eq.(1) is that
it differs from the standard Larmor formula by a significant
contribution. However, one should *not* conclude from this that there is
any contradiction with established knowledge. This is because the
prominent assumption that went into the derivation of
Eq.(1) is that the measurement of
the e.m. Poynting integral is done in an *inertially expanding
coordinate* frame. By contrast, the standard Larmor radiation formula
assumes that the measurement of the e.m. Poynting vector is done in a
free-float (``inertial'', ``Lorentz'') coordinate frame.

The difference between the standard and the augmented Larmor formula
goes with the difference between a free-float and an inertially
expanding reference frame. These two frames are
*incommensurable*. An attempt to evade this difference by, for
example, invoking a coordinate transformation between Minkowski and
boost coordinates or by resorting to ``covariance'' would be like
trying to transform apples into oranges. The two coordinate frames
reveal entirely different aspects of nature, and the radiation from an
e.m. source is one of them.

- Boost Coordinates as Physical and Nonarbitrary
- Conjoint Boost-Invariant Frames as an Arena for Scattering Processes
- Boost Coordinate Frame as a Valid Coordinate Frame in Quantum Field Theory