If the axiom is to preserve each participant’s viable relational geometry, then “maximizing” it looks much less like an algorithm scoring people and much more like a public developmental commitment — a promise society makes to help each person become able to carry what is structurally theirs.

It reverses education

Ordinary education mostly asks: what capacities does society want people to acquire? This model asks the opposite: what capacities does this participant need in order to operate their own particular architecture competently?

That flips the direction. The participant is not raw material to be standardized for society’s use. Society takes on some responsibility for helping them discover, strengthen, and learn to carry what is genuinely theirs. So “maximizing geometry” does not mean maximizing IQ, productivity, income, happiness, or even talent in the usual sense. It means something closer to: supply enough support, exposure, training, correction, opportunity, and fit that a person can make unusually full use of the architecture they actually carry.

What that changes

  • A child with enormous mechanical capacity should meet tools, spatial problems, machinery, and mentors early.
  • A child with extraordinary musical gift needs instruments, practice environments, teachers, and enough material support to stay with it.
  • Someone built for weighing and reconciling needs exposure to negotiation, mediation, group dynamics, governance, and conflicting viewpoints.
  • Someone unusually receptive to systems needs complexity to work on, not endless reduction to standardized assignments.

The point is never “you tested high in category X, so your assigned role is X” — that becomes a caste system fast. It is simply: there appears to be real capacity here, and society has an obligation not to starve it. A capacity the field never supplies the resources to develop is not merely unfortunate; under this ethic it is an ecological failure.

Coherent use, not intensity

Crucially, “maximize” includes learning the architecture’s limits. You do not become competent at driving a powerful vehicle by flooring the accelerator. You learn where it handles beautifully, where it oversteers, what conditions destabilize it, what other capacities compensate, when someone else should lead, and what consequences your driving creates for others.

So the goal is maximum coherent use, not maximum intensity — and the difference is everything:

  • Someone driven to challenge constraints does not need to be made maximally disruptive; they need to learn to spot unnecessary constraint without tearing out necessary structure.
  • Someone with a strong instinct for structure does not need maximum authority; they need fine discrimination about what actually requires structure and what does not.
  • Someone with strong influence does not need maximum reach; they need to understand what happens when they elevate something and cause others to organize around it.

Formation is how a powerful capacity becomes a competent one. But much of what a person carries is never even visible — sealed behind behavior because it was never supplied with what it needed to appear — and real formation has to reach that, not only what already shows. And once you take all of this seriously for people, a harder question follows: we are now forming a new kind of participant on purpose.