M-Series: Formal Mechanisms
The M-series formalizes the structural mechanisms governing cohesion, construction, modes, tolerance, and phase behavior, plus meta-level programme structure.
These papers explain how cohesion, construction, modes, and phase transitions operate as formal mechanisms and provide programme-level infrastructure for definition management and coherence.
What the M-Series Establishes
The M-series builds on substrate mechanics (A-series) to formalize:
- Cohesion and constructive viability
- Admissibility, precedence, and construction dynamics
- Modes as emergent constraint eigenstructures
- Phase, path, and coherence structure
- Constructor emergence in cohesive continua
- Tolerance window W constraints and empirical hooks
- Definition stewardship and explanatory weight
- Symmetry descent and reconciliation limits
Papers
M1 — Constructive Viability in Constrained Informational Domains
Cohesion and viability foundations
Establishes the foundations of cohesion and constructive viability. Shows how mismatch acts as a structural degree of freedom and how bounded tolerance W enables admissibility without rigidity.
Status: Draft
M2 — Formal Constraint Dynamics and Emergent Constructors
Admissibility, precedence, construction
Formalizes constraint dynamics including precedence-restricted admissibility, persistence via structural invariance, and repair and reuse through constraint geometry.
Status: Draft
M3 — Modes as Emergent Constraint Eigenstructures
Discrete stability and mode structure
Explains modes as discrete basins in state space, showing how finite stable configurations emerge under precedence and how mode invariance is maintained under admissible updates.
Status: Draft
M4 — Phase, Path, and Coherence Structure
Provenance, phase, compatibility
Establishes phase as closure-cycle alignment and develops the formal structure of provenance, coherence, and compatibility relationships.
Status: Draft
M5 — Constructor Emergence in Cohesive Continua
Constructor emergence mechanisms
Shows how constructors emerge in cohesive continua and establishes the mechanisms by which stable, self-maintaining structures arise from substrate dynamics.
Status: Draft
M6 — Constraining the Tolerance Window W
W programme and empirical hooks
Develops the W programme for constraining the tolerance window and establishes empirical hooks for testing substrate parameter regimes.
Status: Draft
M7 — Layered Definitions and Explanatory Weight
Definition stewardship framework
Provides the definition stewardship framework for maintaining coherent definitions across the research programme and assessing explanatory weight.
Status: Published
M8 — From Tolerance to Invariance in Cohesive Continua
Ledger-stable structure and closure semantics
Establishes ledger-stable structure and clarifies closure semantics, showing how tolerance leads to invariant structures in cohesive continua.
Status: Published
M9 — Symmetry Descent, Structure, and Limits of Reconciliation
Symmetry, provenance, irreversibility
Develops the theory of symmetry descent, showing how provenance structure leads to irreversibility and limits of reconciliation.
Status: Published
Who Should Read This Series?
This series is for you if:
- You want to understand the formal mechanisms that govern substrate behavior
- You need to understand how cohesion, construction, and modes work before reading B-series
- You are comfortable with formal mechanism definitions
- You want to see how substrate axioms lead to structural consequences
This series is not:
- Concerned with deriving physics (that is B-series and G-series work)
- Providing empirical predictions directly (that comes in P-series)
- A substitute for substrate definitions (see A-series for that)
Additional Resources
For context on how the M-series fits into the broader research programme, see the Research Programme page.
The M-series provides essential background for understanding the B-Series quantum recovery and G-Series geometry derivations.