Institutions as Generators of Possibility: How Social Formations Produce New Subpotentials of Action

Just as mathematics and semiotic systems are structured potentials, so too are social formations. Institutions — legal systems, markets, universities, and norms — are relational structures specifying possible actions and interactions.

Each individual act is an instance actualising one trajectory through the relational potential defined by the institution. And like registers or theorems, institutions evolve by differentiating subpotentials without invoking a temporal process of “becoming.”

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1. Institutions as Structured Potential

A social institution $I$ consists of:

• Rules, roles, and norms R

• Patterns of coordination C

• Relational affordances A

These elements define a field of possible actions. They do not determine what will happen, nor do they exist as inert substance behind the actors.

When an agent acts:

• System (potential): the relational architecture of $R$, $C$, and A

• Cut: the perspectival actualisation of a single action within the constraints

• Instance: the realised social act

The cut is relational, not temporal. The field of potential is already present; each action actualises one trajectory.

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2. Differentiation of Subpotentials

Institutions evolve and generate novelty through the differentiation of subpotentials:

• New laws create new legal subpotentials, enabling previously impossible judgments or contracts.

• Organisational restructuring generates new roles and new interaction potentials.

• Emergent norms or conventions reconfigure affordances, creating new possibilities for coordinated action.

These are structural changes to the potential field, not a linear accumulation of “more reality.”

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3. Constraints Shape Possibility

Constraints are not limitations — they are the structure that makes novelty intelligible:

• Legal procedures constrain but also enable specific actions.

• Social norms preclude arbitrary moves while opening paths for coordinated behaviour.

• Organisational hierarchies channel interactions, creating patterns of emergent subpotential.

Structured constraints define the space of actualisable instances, just as grammar constrains utterances or axioms constrain derivations.

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4. Actualisation as Perspectival Cut

An act — a verdict, a market transaction, a research decision — does not “come into being” in a linear sense.

• The act is a cut: one actualised trajectory through relational potential.

• The institution itself is not altered by a single act, though its potential may be rearticulated over time via differentiation.

• The actualisation respects the relational structure; novelty emerges within constraints, not outside them.

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5. Scaling the Structural Logic

Social formation demonstrates that the grammar of potential, cut, and instance scales:

• Mathematics → symbolic rigour

• Semiotics → contextual and symbolic articulation

• Social formation → distributed, coordinated potential

• Cosmology → reality itself

Each domain shows the same architecture:

• Potential = structured relational space

• Cut = perspectival actualisation

• Instance = realised trajectory

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6. Bridge to Cosmology

Once social formations are understood relationally:

• It becomes coherent to extend the same logic to reality itself.

• Quantum mechanics can be read as a micro-case: structured potential actualised via the cut.

• Cosmology, at the largest scale, is the limit case of the same pattern: the universe is a field of structured potential, continuously actualised through perspectival cuts.

Social formations thus act as the intermediate scale — showing relational potential at work in collective, distributed, and historically evolving domains — before we take the final, cosmological leap.