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The Common-Schema Project

Archives of Architectural Validations (Retrodictions)

Note to the Reader: Context of this Section

This section archives the "retrodictions" from the initial discovery phase of the Common-Scheme. These documents tested the relevance of the architectural grammar (qualitative) of the SC by confronting it with known systems in various domains (biology, chemistry, physics, etc.).

With the advent of the dynamic formalism based on the Lagrangian L_SC, the methodology of the theory has evolved. Physical laws are no longer "constructed" by architectural analogy, but "calculated" by field dynamics.

However, these documents retain significant epistemological value. They demonstrate the fractal scope of the SC grammar and its remarkable ability to model the organizational logic of functional systems at all scales. They constitute the corpus of evidence that justified the development of the more rigorous physical formalism.

Please consult the final demonstration for the most advanced and dynamic version of the theory.

Synthesis of Architectural Validations

The set of validations by retrodiction has been synthesized in two main documents that summarize the scope and coherence of the architectural approach.

Mechanical Principle of the SC Corresponding Validation Tests
The Dual Engine (`Feu²`)
A unique agent or command center generates two opposite effects (excitation/inhibition, action/reaction) via a contextual operator.
  • Neurobiology: Chemical Synapse (Excitation/Inhibition) [Report]
  • Neuro-Control: Antagonistic Muscles (Reciprocal Inhibition) [Report]
  • Physiology: Sympathetic/N parasympathetic Nervous System [Report]
  • Biochemistry: Insulin/Glucagon Regulation [Report]
  • Biochemistry: Protein Quality Control (Repair vs. Destruction) [Pred. Ref.]
The Feedback Loop & Inversion
The output of a system (the product, the effect) acts in the opposite direction on its input (the cause, the engine) to maintain stability (homeostasis).
  • Electronics: Operational Amplifier in Negative Feedback [Report]
  • Biochemistry: Enzymatic Retro-Inhibition [Report]
  • Biology: Homeostasis (e.g., Thermoregulation) [Report]
  • Genetics: Repressible Operon (Tryptophan) [Report]
  • Ecology: Predator-Prey Cycles (Lotka-Volterra) [Report]
  • Economics: Law of Supply and Demand [Report]
Inversion by Direct Opposition
A system reacts to a perturbation by generating a directly opposed force or effect.
  • Physics: Lenz-Faraday Law on Electromagnetic Induction [Report]
  • Chemistry: Le Châtelier's Principle [Report]
  • Chemistry: Acid-Base Buffer Systems [Report]
The Hierarchical Control Principle
A powerful local engine can supplant a global equilibrium state in case of functional necessity.
  • Physiology: Control of Renal Function (Nervous vs. Hormonal) [Pred. Ref.]

Conclusion of the Mechanical Synthesis

This series of tests validates the dynamic mechanics of the Common-Scheme as a model of remarkable universality and relevance. The ability of the same logical grammar (dual engine, feedback loop, inversion) to describe functional mechanisms in more than six distinct scientific domains constitutes an extremely strong convergent proof.

The SC presents itself not as a theory of physics or biology, but as a theory of functionality itself, describing the logical architecture that any stable and dynamic system — whether material, biological, informational, or artificial — seems to implement. The validation phase of the SC mechanics is complete.

Explore the Corpus of Architectural Validations

The robustness of the Common-Scheme grammar has been tested on a wide range of functional systems. The following reports document these "retrodictions" that validate the fractal scope of the model.