Make a field in SharePoint Content Type immutable

Hi All,

I need to add a single line of text field for the default Document Content Type across all the site collections in my server. So any document in the server must have this field as metadata property.

I need this field to be immutable meaning that data to this field can be written only once per document. i.e. during the document creation. This field should be read-only at all the edit, display forms. The value will be set during the document upload programatically. Is there a way to do this?

Note: I have complete access to the server and can change any settings at any scope(includes any changes required to the XML files on server file system)

Thank you in advance :)