To understand the Principles, one must first see what self-determination is in essence, setting aside the later statist vocabulary.
The right of peoples to self-determination was born in decolonization. A people that had been the subject of an empire - which was determined, ruled, shaped from outside - became a subject in the active sense, the author of its own development. The international covenants mention "political status," but the weight of the norm is in what follows: peoples freely ensure their economic, social and cultural development. Political status here is an instrument. The essence is authorship over one's own being. The root of self-determination lies not in politics but in the right to be the author of one's own life, rather than the object of another's determination.
Now let us apply this root to the person. In what way does the person still remain a subject determined from outside?
In the most fundamental matter. A person receives their primary belonging - which "we" they belong to, what whole they are a part of - at birth, apart from their own will, from an external power. They were not asked. They were assigned. At this, the deepest point of their existence, the person is still an object of determination, whereas the people has become a subject. The people won the right to be the author of its own being; the person does not have this right. Here is the gap that the Principles fill.
Voting does not close this gap. Voting is a choice within an assignment that the person did not choose. The ballot asks who will rule in their state, but never asks whether they consent to belong to that state at all and whether their belonging to humanity is not more primary. The ballot presupposes the assignment as a given. The self-determination of the individual is not a choice within an assignment, but the right to be the author of the assignment itself. These are different categories: one can vote one's whole life and never be a subject for an instant, because one chooses within what was chosen for one.
The reversal of primacy. From this comes the main shift that the Principles introduce. Today a person has political existence because the state granted it: the state is primary, the person is derived from it. The Principles reverse the order - what is recognized as primary and self-standing is the person's belonging to humanity and the Earth, while belonging to a state becomes a secondary, in principle reconcilable, layer. The person is primary, the polity is derived. At the same time the person becomes not the only source of their belonging - that would be an overstatement, readable as anarchism - but one of the sources, alongside the state. What ends is the state's monopoly on political belonging, not the state itself.
The person becomes a source of their own belonging, not the ultimate source of law. The Principles do not introduce a third sovereign above states - they recognize one more source of belonging alongside them.
Let us say at once: the primary belonging to humanity and the Earth here is not a biological or a mystical category, but a legal recognition of the common human condition. Law is not derived from metaphysics; it merely recognizes a condition common to all people.