- Only zero-dimensional particles are acceptable building blocks in physics. ..Wtf...?!?
- So string theory must be a theory of point-like particle fields with infinitely many components, too.
(The only question is, why scientists have realized just after forty years of string theory existence..)
- This localization is inconsistent with the idea of world-sheets and the string theoretical interpretation of T-duality.
T-duality is the stand of (T)orroidal duality. We can imagine formation of such duality by torsion field inside of repulsing particle system or elastic fluid, which we would jump on like onto heavy urethane mattress. During which toroidal torsion deformations will be formed. At the moment, when the energy density/frequency of undulations exceed certain level, the inertia of environment must be taken into account and new daughter generation of smaller vortices perpendicular to original direction will be formed, and so on... In fluid mechanics this mechanism of vortex propagation is called Widnall's instability. From this follows, its a toroidal symmetry, which connect small and large distances by R-1/R relation. It's a continuous version of one to many duality, as expressed in following scheme:
Which conclusion follows from the above insights for string theory? Well, none specific. String theory is a theory of 1-dimensional quantum objects, which were later extended to N-dimensional quantum objects in M-theory. It's NOT theory of particle field or quantum loops or whatever else - and as such it's fully defined by its postulate set (or at least it should be..). It has no meaning to speculate, if description of T-duality or wordsheet in existing string theory is consistent or not, until it follows from string theory postulates in rigorous way. The introduction of quantum loops or particle field into string theory is indeed possible and string field theory or string net liquid concept takes account into it. But such theories aren't string theory anymore and they can lead to completely different predictions, then the AWT or string theory in its classical form and we cannot expect consistency in anything.
Until we believe, only zero-dimensional particles are acceptable building blocks of physics, no additional constrains or postulates of string theory are required to make such concept testable and predictable - or such theory becomes overloaded by its postulates, thus leading into new generation of fuzzy landscape of many possible solutions.