Short of time: I'll try and write some of this:
For an object to exist; it must be distinct.
To be distinct, it must have a BOUNDARY; a beginning and ending (EG. inside, outside; left, right; forwards, backwards; before, after; above, below; this dimension, that dimension)
As you see, a boundary involves a pair of 'objects'. One might consider the OBJECT that comprises this pair.
One might from the perspective of one side of its boundary, see the whole (both sides) as forming a pair of objects with the other side.
One might from the perspective of the other side of the boundary, see the whole (both sides) as forming a pair of objects with the earlier mentioned side.
So you could suppose an object to be a 3-in-1 arrangement that can be viewed from any of 3 perspectives, each revealing a similar view. You can 'set your gauge to zero' at any view (thus local gauge invariance). The whole object is all there 3-in-1.
An object can be regarded as a CHANGE. For example, a change from 'left' via BOUNDARY to 'right'; or change from 'inside' via BOUNDARY to 'outside'; or change from 'before' via BOUNDARY to 'after'; or change from 'this dimension' via BOUNDARY to 'that dimension', etc.
A, B, are the two 'sides', I'll call 'states' of C. (C is AB)
Can have view: A, B are states of C.
Can have view: A, C are states of B.
Can have view: B, C are states of A.
The above is what happens with 'yaw', 'pitch', and 'roll' of an aircraft.
'Yaw' is sum of 'pitch' and 'roll'.
'Roll' is sum of 'yaw' and 'pitch'.
'Pitch' is sum of 'yaw' and 'roll'.
The three rotations, thus accelerations, of 'yaw', 'pitch', 'roll' can compensate to create a stable aircraft, stationary in this 3 system.
Note: 'A' state of 'C', 'B' state of 'C' has the difference: 'A' to 'B' (jump); and sameness: C''.
B state of A, and C state of A, have difference: B jump to C, and sameness: A.
A state of B, and C state of B, have difference: A jump to C, and sameness: B.
Internet cafe time up- DNA similarity to come