ar X iv : m at h - ph / 0 50 70 22 v 2 2 6 Ju l 2 00 5 On the sharpness of the zero - entropy - density

ar X iv : m at h - ph / 0 50 70 22 v 1 7 J ul 2 00 5 On the sharpness of the zero - entropy

The zero-entropy-density conjecture states that the entropy density defined as s ≔ lim N→∞ S N /N vanishes for all translation-invariant pure states on the spin chain. Or equivalently, S N , the von Neumann entropy of such a state restricted to N consecutive spins, is sublinear. In this paper it is proved that this conjecture cannot be sharpened, i.e translation-invariant states give rise to ar...

ar X iv : m at h - ph / 0 50 70 22 v 3 1 9 D ec 2 00 5 On the sharpness of the zero - entropy - density conjec - ture

The zero-entropy-density conjecture states that the entropy density defined as s ≔ lim N→∞ S N /N vanishes for all translation-invariant pure states on the spin chain. Or equivalently, S N , the von Neumann entropy of such a state restricted to N consecutive spins, is sublinear. In this paper it is proved that this conjecture cannot be sharpened, i.e., translation-invariant states give rise to ...

ar X iv : m at h - ph / 0 60 70 40 v 1 2 0 Ju l 2 00 6 Invariant Form of BK - factorization and its Applications

ar X iv : m at h - ph / 0 50 10 64 v 6 2 5 Ju l 2 00 6 Hidden Consequence of Active Local Lorentz Invariance ∗

In this paper we investigate a hidden consequence of the hypothesis that Lagrangians and field equations must be invariant under active local Lorentz transformations. We show that this hypothesis implies in an equivalence between spacetime structures with several curvature and torsion possibilities.

ar X iv : 0 70 7 . 33 03 v 1 [ m at h . O A ] 2 3 Ju l 2 00 7 OPERATOR - VALUED FRAMES