  The triangular enhancement of the rapidity distribution of hadrons produced
in p+A reactions relative to p+p is a leading order in A^{1/3}/log(s) violation
of longitudinal boost invariance at high energies. In A+A reactions this leads
to a trapezoidal enhancement of the local rapidity density of produced gluons.
The local rapidity gradient is proportional to the local participant number
asymmetry, and leads to an effective rotation in the reaction plane. We propose
that three dimensional jet tomography, correlating the long range rapidity and
azimuthal dependences of the nuclear modification factor,
R_{AA}(\eta,\phi,p_\perp; b>0), can be used to look for this intrinsic
longitudinal boost violating structure of $A+A$ collisions to image the
produced twisted strongly coupled quark gluon plasma (sQGP). In addition to
dipole and elliptic azimuthal moments of R_{AA}, a significant high p_\perp
octupole moment is predicted away from midrapidity. The azimuthal angles of
maximal opacity and hence minima of R_{AA} are rotated away from the normal to
the reaction plane by an `Octupole Twist' angle, \theta_3(\eta), at forward
rapidities.
