Poster abstract details

It is shown that the system of point particles can be
described by an action which is just the minimal length
action in a multidimensional configuration space ${\cal C}$.
In the absence of interactions, the latter action gives
the same equations of motion as the ordinary action.
A difference occurs when a gravitational field is switched on.
Then the second action allows for a generalization that goes beyond
the usual theory, since the metric of ${\cal C}$ in general allows for
extra couplings amongst the particles within the system. From the point
of view of 4-dimensional spacetime $M_4$, which is a subspace of
${\cal C}$, there exist extra forces that act on a particle besides gravity.
Analogous holds for other kinds of configuration spaces, e.g., those
associated with strings and branes. A brane can be described in terms
of infinite dimensional configuration space, or in terms of a quenched,
finite dimensional configuration space, e.g., the space of points, areas
and volumes, the so called Clifford space. In all those cases we have
theories which are analogous to Kaluza-Klein theories, and yet we have
not augmented the dimension of spacetime in which those systems live.
This generalized theory seems to be promising for the unification of
fundamental interactions, and also for the resolution of the notorious
astrophysical puzzles.