The Physics of Becoming

Constraint-Governed State Resolution

Authors: Jordan Vallejo and the Transformation Management Institute Research Group

Status: Monograph A4 | October 2025 (Revised Jan 2026)

I. Scope and Ontological Commitments

This monograph specifies substrate-general invariants of system persistence across time. Its claims apply to all admissible systems under System Existence Theory and exclude semantic, interpretive, normative, and agentic assumptions.

A system is treated as an entity that persists across temporal intervals under constraints. A state is the configuration of such an entity at a time index under those constraints. A constraint is any condition that restricts admissible system states or state transitions, independent of representation, enforcement, or recognition.

Physics is used here to denote invariants that apply independent of meaning, intention, governance, and evaluation. This monograph introduces no variables, diagnostics, interpretive mechanisms, or professional standards. It fixes the minimal dynamics of persistence across time.

Non-goals. This monograph does not model mechanisms, predict trajectories, or specify measurement. It establishes the constraint form presupposed by downstream programs.

II. Necessity of State Transition

Persistence is defined over temporal intervals. Any system described across an interval admits a time-indexed state function, s(t). “No change” denotes a special case in which selected variables remain constant across indices. It does not denote absence of time-indexed state occupancy.

The system occupies successive time-indexed states under constraints.

Stability or equilibrium denotes a region of admissible trajectories that remain bounded over time. Equilibrium does not suspend time-indexed state occupancy; it bounds variation in selected variables. As long as a system persists, it occupies time-indexed states.

III. Constraint Dominance and State Elimination

State evolution is constraint-governed, not selection-driven. Systems do not select among successor states. Constraints restrict admissible states and transitions. Configurations that violate constraints are not admissible continuations.

Constraints eliminate non-admissible continuations. Resolution is not an action, event, or decision. It is the consequence of constraint over time. When multiple admissible successor states exist, constraint structure determines which trajectories remain admissible over time.

A state is viable only in the sense that it remains admissible under constraints over the relevant interval. Viability carries no evaluative, moral, or legitimacy content.

IV. Constraint-Governed State Resolution (CGSR)

Constraint-Governed State Resolution (CGSR) names the baseline condition of persistence across time.

CGSR — Propositions

1. Systems persist only by occupying time-indexed states under constraint.

2. Constraints restrict admissible system states and state transitions.

3. For any interval from t to t+Δt, successor states that violate prevailing constraints are not admissible continuations of the system.

4. The realized trajectory is therefore restricted to admissible continuations; non-admissible continuations are eliminated from persistence.

CGSR is not a mechanism description. It specifies the unavoidable restriction of persistence to admissible continuations. CGSR is continuous. Suspension is not presumed at this layer.

V. Preservation of Alternatives as Exception

Some systems preserve multiple admissible successor trajectories over longer intervals before constraints eliminate alternatives. Such preservation does not negate CGSR. It alters the timing of elimination.

This monograph does not specify mechanisms of alternative preservation. It states only that preservation remains constraint-bounded and that elimination occurs. Structural treatment of suspension and binding is reserved for the General Theory of Interpretation.

VI. Substrate Generality

CGSR is substrate-general. It applies to physical, biological, computational, and social systems insofar as they qualify as admissible systems under System Existence Theory.

Any system-object admitted by System Existence Theory falls under CGSR by definition of admissibility. Semantic content, representation, coordination goals, and agency are excluded at this level.

CGSR constitutes the baseline constraint form presupposed by higher-order system theories.

VII. Canonical Placement

Canonical placement:

• System Existence Theory defines admissible system objects.

• Physics of Becoming specifies the unavoidable dynamics of persistence across time.

• Downstream programs presuppose these dynamics without modifying them.

This monograph introduces no interpretive mechanics, variables, diagnostics, governance doctrine, or intervention models. Its function is to fix the constraint form presupposed by downstream analysis.

Conclusion

Constraint-governed state resolution is the baseline condition of persistence across time. Systems persist only along admissible trajectories. Non-admissible continuations do not persist.

Interpretation, meaning, coordination, and intervention presuppose CGSR and do not replace it.

Becoming is a condition of persistence.

Citation

Vallejo, J. (2025). The Physics of Becoming. Monograph A4. Transformation Management Institute Scientific Monograph Series.