Forum Moderators: phranque
Your backlinks link to your domain, not your IP address... ditto with PageRank and rankings. Although you might find a slight change in your rankings over time if your new server's IP is in a different geographic area to your previous server.
when changing domains
Changing domain DOES harm SE rankings, backlinks etc. Can you be more precise about what you are going to do? Is the content from your current site moving to a new domainname, or is the content moved to another hosting facility and do you change the DNS settings of your current domain? The first will bring you in the Google sandbox, the second will have no consequences in most circumstances. The only change might be country targeting if you are moving your hosting to another country.