WorldToLocalWeirdness

import com.jme3.app.SimpleApplication;
import com.jme3.material.Material;
import com.jme3.math.ColorRGBA;
import com.jme3.math.FastMath;
import com.jme3.math.Vector3f;
import com.jme3.scene.Geometry;
import com.jme3.scene.Node;
import com.jme3.scene.debug.Arrow;
import com.jme3.scene.debug.Grid;
import com.jme3.scene.shape.Box;
import com.jme3.texture.Texture;

public class WorldToLocal extends SimpleApplication {

    static Node container, pivot;
    static Material blank, wireframe;

    public static void main(String[] args) {
        WorldToLocal app = new WorldToLocal();
        app.start();
    }

    @Override
    public void simpleInitApp() {
        blank = new Material(assetManager, "Common/MatDefs/Misc/Unshaded.j3md");
        blank.setColor("Color", ColorRGBA.White);
        wireframe = blank.clone();
        wireframe.getAdditionalRenderState().setWireframe(true);
        flyCam.setMoveSpeed(10);

        //something to contain the pivot node, translated and rotated for testing
        container = new Node();
        container.setLocalTranslation(-0.5f, 1, 2);
        container.rotate(0, 45*FastMath.DEG_TO_RAD, -10*FastMath.DEG_TO_RAD);
        rootNode.attachChild(container);

        // the node that needs to face the tgt point
        pivot = new Node();
        pivot.setLocalTranslation(container.worldToLocal(Vector3f.ZERO, new Vector3f()));
        container.attachChild(pivot);

        // a point to look at
        Geometry tgt = new Geometry("realpoint", new Box(0.1f,0.1f,0.1f));
        tgt.setLocalTranslation(new Vector3f(-5,2,4));
        tgt.setMaterial(blank);
        rootNode.attachChild(tgt);

        //making an arrow that faces the z.axis. this geometry shouldn't be rotated but the parent node
        Arrow arrow = new Arrow(Vector3f.UNIT_Z.mult(2));
        arrow.setLineWidth(8);
        Geometry zaxisvector = new Geometry("vector", arrow);
        zaxisvector.setMaterial(blank);
        pivot.attachChild(zaxisvector);

        //should work but doesn't
        pivot.lookAt(pivot.worldToLocal(tgt.getWorldTranslation(), new Vector3f()), Vector3f.UNIT_Y);

        //works but shouldn't (comment out to test out the previous lookAt)
        pivot.lookAt(pivot.getWorldRotation().mult(pivot.worldToLocal(tgt.getWorldTranslation().add(pivot.getWorldTranslation()),new Vector3f())), Vector3f.UNIT_Y);

        //grid for reference 1 box = 1 unit
        rootNode.attachChild(attachGrid(Vector3f.ZERO, 81, ColorRGBA.White));
    }

    private Geometry attachGrid(Vector3f pos, int size, ColorRGBA color){
          Geometry g = new Geometry("wireframe grid", new Grid(size, size, 1));
          g.setMaterial(wireframe);
          g.center().move(pos);
          rootNode.attachChild(g);
          return g;
    }
}