"Practical Considerations for Humidifying and Flattening Paper" (2003) by Stephanie Watkins, a conservationist, has this to say about how to flatten paper (emphasis mine):
The aim of humidification is to reintroduce moisture into the paper support to relax the fibers... Gravity and time, or
pressure and time, can be as effective, depending on the
relative humidity of the storage area. Curled paper that is
sturdy can be hung from flat clips, such as paper-protected
bull clips, and left over a short time to slowly uncurl
(e.g. panoramas, large blueprints, etc.). Protect the items
from dust and light exposure during this process as it may
take several weeks.
However, humidification relaxes the paper in a faster
manner and fibers are less likely to be stressed.
Thus:
- Paper becomes flat once the microscopic cellulose fibers in the paper relax.
- This process does not complete instantaneously upon application of a force, i.e. it takes time so the longer you leave it the flatter it becomes.
- The energy should be coming from the book lowering ever so slightly as the creases in the paper disappear.