1. A dynamic spine stabilization system comprising: a first horizontal rod system having a first horizontal rod, a deflection rod, and a mount which connects a middle portion of the first horizontal rod to a middle portion of the deflection rod with the deflection rod spaced from and substantially parallel to the first horizontal rod; the deflection rod having a first deflectable end and a second deflectable end which can deflect relative to the first horizontal rod in response to a load; a first vertical rod connected by a first pivoting joint to the first deflectable end of the deflection rod, and a second vertical rod connected by a second pivoting joint to the second deflectable end of the deflection rod; a second horizontal rod having a first end portion adapted to mount a first pedicle screw and a second end portion adapted to mount a second pedicle screw; the first vertical rod being fixedly connected to the second horizontal rod medial of the first end portion, and the second vertical rod being fixedly connected to the second horizontal rod medial of the second end portion; whereby a load supported by the second horizontal rod is transmitted by the first and second vertical rods to the first and second deflectable ends of the deflection rod causing bending of the deflection rod such that said load is transmitted from the middle portion of the deflection rod to the middle portion of the first horizontal rod by the mount and distributed horizontally along the first horizontal rod from the mount.
4. The system of claim 1 including: a third horizontal rod having a third end portion adapted to mount a third pedicle screw and a fourth end portion adapted to mount a fourth pedicle screw; the first vertical rod being fixedly connected to the third horizontal rod medial of the third end portion, and the second vertical rod being fixedly connected to the third horizontal rod medial of the fourth end portion; and whereby the third horizontal rod is immobilized relative to the second horizontal rod.