New general DBI action, its solution to the paradox of the conversion of
  kinetic and potential energy in equal rights and their true applications to
  inflationary cosmology
  The Dirac-Born-Infeld (DBI) field theory in string theory is important and
can provide the field of the universe's inflation. At the same time, it
provides a causal mechanism for generating the original density perturbation,
thereby providing the necessary density perturbation for existing the dense and
sparse matter distributions of the universe. However, there is the paradox of
the conversion of potential energy and kinetic energy in equal rights in string
theory. Therefore, we give a new general DBI action, which enables the kinetic
energy and potential energy in the action to be converted each other in equal
rights, i.e., solving the paradox. Therefore, we deduce a new general DBI
action, introduce it into inflationary cosmology to calculate various inflation
parameters, further calculate the scalar perturbation spectrum and the
tensor-scalar ratio, which are compared with Planck + WMAP9 + BAO data, the
power spectrum predicted by the new general DBI inflation theory satisfies the
CMB Experiment constraints, i.e., is consistent with the current theories and
experimental observations. Consequently, the theory of this paper conforms to
current experiments and is supplying the current theories, and also a new way
of explaining the inflation of the universe.
