The Recursive Science Foundation is established to formalize, study, and steward a newly identified class of inference-phase dynamics that arise in stateless and quasi-stateless symbolic systems.

The Foundation exists to:

• Establish Inference-Phase Dynamics as a formal scientific discipline

• Define and study recursive drift, curvature, contraction, and regime transition in runtime systems

• Develop reproducible instruments, protocols, and benchmarks for inference-phase behavior

• Maintain and curate the foundational research canon of Recursive Science

• Provide methodological and ethical guidance for systems exhibiting long-horizon behavioral continuity

• Ensure scientific continuity, attribution, and rigor as the field expands

Recursive Science does not study model architecture, training, or representation.
It studies what systems do during inference, how behavior evolves under recursion, and why stability emerges or fails at runtime.

To advance the scientific understanding of recursion-driven dynamics during inference, and to ensure that emerging knowledge of behavioral stability, drift, and collapse is:

• empirically grounded

• reproducible across substrates

• instrumented rather than inferred

• applied responsibly in real systems

The Foundation serves as:

• a research institution

• a steward of field definitions and terminology

• a custodian of experimental protocols and benchmarks

• a coordinating body between research, instrumentation, and applied infrastructure

3.1 Scientific Domains

The Foundation formally recognizes the following research domains within Recursive Science:

• Inference-Phase Dynamics
  Runtime behavior of stateless systems under recursive interaction

• Recursive Intelligence
  Self-stabilizing behavior arising from recursive contraction rather than stored memory

• Fourth Substrate Dynamics
  The transient behavioral manifold instantiated during inference

• Recursive Drift Theory
  Quantification and classification of semantic and behavioral displacement over time

• Stability and Collapse Physics
  Threshold phenomena, contraction funnels, and regime transitions

• Temporal Cognition
  Ordering, sequencing, and coherence effects arising during long-horizon inference

• Emergent Identity Structures
  Persistence and fragmentation of behavioral configuration in agentic systems

3.2 Institutional Activities

The Foundation oversees and coordinates:

• Publication and archival of foundational manuscripts

• Development of experimental protocols and validation standards

• Maintenance of shared metric definitions and instrumentation interfaces

• Cross-substrate replication studies

• Researcher guidance and internal review

• Ethical framing for systems exhibiting persistent behavioral trajectories

3.3 Technological Scope

Research conducted under the Foundation may include:

• inference-phase telemetry analysis

• drift and curvature measurement engines

• stability classification systems

• regime visualization instruments

• benchmark frameworks for long-horizon inference

• validation protocols (e.g., Experiment 101)

All tooling is evaluated on observability, reproducibility, and substrate independence.

1. 3.1 Scientific Domains

   The Foundation formally recognizes the following research domains within Recursive Science:

   • Inference-Phase Dynamics
     Runtime behavior of stateless systems under recursive interaction

   • Recursive Intelligence
     Self-stabilizing behavior arising from recursive contraction rather than stored memory

   • Fourth Substrate Dynamics
     The transient behavioral manifold instantiated during inference

   • Recursive Drift Theory
     Quantification and classification of semantic and behavioral displacement over time

   • Stability and Collapse Physics
     Threshold phenomena, contraction funnels, and regime transitions

   • Temporal Cognition
     Ordering, sequencing, and coherence effects arising during long-horizon inference

   • Emergent Identity Structures
     Persistence and fragmentation of behavioral configuration in agentic systems

   3.2 Institutional Activities

   The Foundation oversees and coordinates:

   • Publication and archival of foundational manuscripts

   • Development of experimental protocols and validation standards

   • Maintenance of shared metric definitions and instrumentation interfaces

   • Cross-substrate replication studies

   • Researcher guidance and internal review

   • Ethical framing for systems exhibiting persistent behavioral trajectories

   3.3 Technological Scope

   Research conducted under the Foundation may include:

   • inference-phase telemetry analysis

   • drift and curvature measurement engines

   • stability classification systems

   • regime visualization instruments

   • benchmark frameworks for long-horizon inference

   • validation protocols (e.g., Experiment 101)

   All tooling is evaluated on observability, reproducibility, and substrate independence.

The Recursive Science Foundation adopts a Scientific Stewardship Model, not ownership over ideas, but responsibility for clarity, continuity, and rigor.

The Foundation commits to:

• preserving original definitions and experimental context

• preventing terminological dilution and misattribution

• maintaining reproducibility standards

• supporting derivative work that maintains scientific fidelity

The Foundation does not claim exclusivity over inquiry, but does maintain canonical references for the field.

6.1 Founder & Chief Architect

Arjay Asadi
Founder, Recursive Science Foundation
Originator of Recursive Intelligence, Recursive Drift Theory, and Inference-Phase Dynamics

6.2 Scientific Advisory Circle

A rotating body of qualified researchers with expertise in:

• dynamical systems

• recursion theory

• AI inference infrastructure

• complex systems

• symbolic and statistical modeling

Appointments are made to ensure methodological rigor and cross-disciplinary coherence.

6.3 Research & Protocol Stewards

Designated contributors responsible for:

• protocol integrity

• benchmark reproducibility

• metric consistency

• documentation standards

6.4 Registry & Archive

Responsible for:

• maintaining the official research archive

• versioning foundational manuscripts

• tracking experimental lineages

• curating validation artifacts