PMS Theory

Overview

Praxeological Meta-Structure Theory (PMS)

A minimal operator grammar (Δ–Ψ) for structure, action, and constraint — substrate-independent.

The Praxeological Meta-Structure Theory (PMS) defines a formal grammar for structured action. It specifies how distinctions are introduced, how contexts are framed, how asymmetries arise, how processes iterate, stabilise, and bind themselves over time.

PMS is intentionally minimal: it consists of eleven irreducible operators (Δ–Ψ) and a set of structural dependency rules governing their composition. It does not model meaning, intention, experience, or value — only structure and constraint.

An operator denotes a structural transformation step; operator chains describe admissible sequences of transformation under dependency constraints.

Because the grammar is substrate-independent, the same operator system can be applied to human practice, technical systems, artificial agents, and quantum workflows.

What this is

At its core, PMS is based on the following ideas:

• Structure precedes interpretation
  PMS describes how structures form and interact before any semantic, psychological, or physical interpretation is applied.

• Irreducible operator set
  The 11 operators (Δ–Ψ) are minimal and non-derivable from each other.
  Each represents a distinct structural action (e.g. differentiation, framing, asymmetry, iteration, integration, self-binding).

• Constrained composition
  Operators cannot be combined arbitrarily.
  PMS defines which structural actions require prior conditions (e.g. asymmetry requires a frame or distinction).
  Dependency rules make structural validity checkable: a chain can be accepted, rejected, or audited without interpreting domain meaning.

• Action-oriented, not descriptive
  PMS is not a taxonomy of states, but a grammar of transformations.
  States appear as snapshots of structured histories; the grammar primarily specifies admissible transitions.

• No embedded ontology
  PMS does not assume a model of mind, society, physics, or reality.
  It can be applied within such models, but does not replace them.
  Neutrality here is semantic, not structural: PMS constrains form, while leaving interpretation to domain models.

In short: PMS is a meta-grammar for structured action, not a theory of meaning or being.

What PMS Is Not

To avoid common misunderstandings, PMS is explicitly not:

• a psychological or clinical model
• a phenomenological framework
• a metaphorical or narrative system
• a worldview, ideology, or philosophy of life
• a cognitive architecture
• a moral or normative theory

PMS does not explain why agents act, what they experience, or what is true. It specifies how structured action is possible at all.

Where PMS Can Be Used

Because PMS is substrate-independent, it can be applied wherever structured action, constraint, and coordination matter. Typical application domains include:

• Human practice & organisation
  Analysis of roles, routines, escalation, stabilisation, and institutional constraint.

• Software & system architecture
  Operator-based execution models, context isolation, integration boundaries, and invariants.

• Artificial intelligence & agent systems
  Action governance, constraint enforcement, multi-frame reasoning, and policy layers.

• Hybrid human–AI systems
  Structural auditability of decisions, handoffs, and responsibility boundaries.

• Quantum computing
  Framing of Hilbert spaces, asymmetry via control, iteration, attractor dynamics, measurement, and stabilisation.

• Distributed & multi-agent systems
  Separation, coordination, integration, and self-binding across nodes and layers.

PMS does not replace domain theories in these fields; it provides a shared structural layer for constraints, boundaries, and transformation logic. It does not compete with domain-specific formalisms; it operates above them, as a structural grammar.

Where PMS Is Instantiated

PMS serves as the foundational layer for several concrete projects:

• PMS-STACK
  An executable system architecture derived from PMS operators.

• PMS-QC
  A praxeological structural layer for quantum computing workflows.

• Maturity in Practice
  A praxeological application of PMS (book + model lineage), including the related repo and tooling.
  Book: Amazon (EN) · Amazon (DE) · Site (DE): reife-im-vollzug.de

Each project applies the same operator grammar under different constraints. Instantiations inherit the operator set unchanged; only the execution substrate and domain constraints differ.

Repositories & Specification

• Canonical specification (PMS.yaml)
  PMS.yaml — formal definition of operators, layers, dependencies
  → https://github.com/tz-dev/Praxeological-Meta-Structure-Theory/blob/main/PMS.yaml

• Repository (source + history)
  → https://github.com/tz-dev/Praxeological-Meta-Structure-Theory

• Related repositories
  → https://github.com/tz-dev/Maturity-in-Practice
  → https://github.com/tz-dev/PMS-QC

Custom GPTs (experimental assistants):

• PMS Model Assistant
• Maturity in Action — A Praxeological Anthropology

From Overview to the Operator System

This page introduces the scope and intent of PMS: its praxeological foundation, its domain of application, and its role as a minimal structural theory of action.

What it does not yet specify is the internal structure of PMS itself: the individual operators, their layers, and the constraints governing their interaction.

That structure is defined by the operator system, which enumerates the complete set of PMS operators (Δ–Ψ) and establishes their non-negotiable dependency relations.

→ Continue to:
The Operator System (Δ–Ψ)
(Operators, layers, and structural dependencies)