As far as I know, it will be possible to package applications as DEB or RPM packages, you will be able to include an embedded VM (for example Avian VM) if you want, probably no JVM will be installed by default. JavaSE Embedded and OpenJDK should work (maybe with small modifications) under Tizen even though the documention only mentions C/C++ for native apps and HTML5/JavaScript for web apps. Moreover, there is no Java binding to its native APIs yet except those already available for Linux ARM and for APIs supported in any Linux distribution (for example JOGL 2.0). If you really need some help to use Java under Tizen, please contact the JogAmp Foundation here. Xerxes already succeeded in running JOGL 2.0 under Meego as you can see here, why not doing the same thing under Tizen?
N.B: Don't expect official Java support under Tizen.