# 4. No Sources or Sinks
Across the extent of $u$, continuity holds. Energy transported across a region
does not create or destroy energy there. Rather, it changes how much energy is
stored there by moving it across regions.
Since $u$ is what is given to exist, its total quantity is given with it and
can therefore be considered fixed. A primitive source or sink would require
either that total to change or that disconnected regions compensate one another
without transport between them.
This is the source-free continuity statement itself: no added creation term, no
added destruction term, only transport.
Continuity gives local accounting. We now explore what it implies for the
shape of energy reorganization as a complete process.
Although $\mathbf{S}$ handles a directional accounting of how energy is
transported, even when taken as a whole it still fails to reveal the structure of
that transport. The next chapters develop that structure.
We next consider the transport of energy across empty space.
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