You mean the map or list of records to be processed by a trigger? 

new

A map of IDs to the new versions of the sObject records.

Note that this map is only available in before update, after insert, and after

update triggers.

newMap

Returns a list of the old versions of the sObject records.

Note that this sObject list is only available in update and delete triggers.

old

A map of IDs to the old versions of the sObject records.

Note that this map is only available in update and delete triggers.

oldMap

A map of IDs to the old versions of the sObject records.

Note that this map is only available in update and delete triggers. 

No, I want to pass the entire Trigger at once. I know that I can pass Trigger.new. This is a better example of that i want.

SomeAbstractClass.doSomething(Trigger);

instead I have to do something like so...

SomeAbstractClass.doSomething(Trigger.new, Trigger.oldMap);

Or cannot make the class completely abstract. i would need to instantiate the class and assign members... as you can see this is more work than necessary.  Perhaps there's a System getter i'm not aware of that exposes the Trigger object inside of the abstract class? This would be the answer I'm looking for I guess. But I'd rather pass it as an argument. I'm doing this because I want to take advantage of class methods to organize my code for this complex step I am working on. Plus, i want to reuse the code.

Thanks