Archives of Architectural Computations (Quantitative Retrodictions)

Note to the Reader: Context of this Section

This section archives the numerous quantitative calculation reports from the discovery phase of the Common-Scheme. These historical documents represent the successive stages where the architectural grammar of the SC was applied to "construct" mathematical formulas corresponding to the constants of nature.

With the establishment of the dynamic formalism, the theory's methodology was refounded. The values of physical constants are no longer "constructed" by external rules, but are now calculated directly from the Lagrangian L_SC via quantum field theory methods.

These archived documents retain crucial value. They are proof of the predictive power of the SC grammar and constitute the corpus of "improbable coincidences" that justified and guided the development of the final physical formalism. They show how the structure led to the dynamics.

Please consult the corpus of quantitative evidence to access the final calculations in their dynamic version.

Synthesis of Quantitative Architectural Discoveries

The most significant successes of this research phase have been synthesized in final documents that have since been refounded in the new dynamic methodology. You can consult these final documents below:

Architectural Principle of the SC	Corresponding Validation Tests
Axiomatic and Quantitative Principles The fundamental constants and laws derive from a limited set of first geometric principles.	Axiomatic: Validation of the Geometric Axiom (π=Concrete, Φ²=Abstract) Axiomatic: Unification of Axioms and Quantitative Laws Physics: Discovery of the Geometric Scaling Law (π/Φ²) Physics: Derivation of Quantum Numbers (n=17, n=9) Physics: Necessity of Electroweak Unification Cosmology: Architectural Necessity of the Universe's Flatness
The Triad Principle & C-A-T Hierarchy Systems and processes are structured into three hierarchical phases or components (Context, Agent, Target).	Physics: C-A-T Hierarchy of Fundamental Bosons Physics: Baryonic Construction Principle (3 Quarks) Physics: Transcendent and Hierarchical Nature of Gravity Biochemistry: C-A-T Hierarchy of Protein Structure Biochemistry: Logic of Enzymatic Catalysis (Transition State) Biology: Senary Sequence (2x3) of the Digestive Process Epistemology: C-A-T Hierarchy of Fundamental Sciences Mineralogy: C-A-T Hierarchy of the Rock Cycle Arts: Fractal 3x3 Architecture of the Visual Creation Process
The Quaternity Principle & 4x3 Structures Fundamental element sets are organized into quaternary structures, often in 4 families of 3 elements.	Physics: 4x3 Architecture of Fermions Physics: 4x3 Architecture of Forces (Validation J/ψ, Υ) Chemistry: Architecture of the Periodic Table Chemistry: Architectural Superiority of Carbon over Silicon Chemistry: Functional Hierarchy of Carbon's Tetravalence Biology: Fractal 4x3 Architecture of the 12 Organic Systems Mineralogy: Fractal 4x3 Architecture of Mineralogical Classification
Enantiomorphism & Asymmetry Functionality emerges from a symmetry breaking, creating opposite but complementary pairs (left/right, pole+/pole-).	Biology: Necessity of Functional Asymmetry (Enantiomorphism) Biology: Necessity of Cardiac Asymmetry Biology: Fractal Asymmetry of the Neuro-Muscular Interface Biology: Fractal Asymmetry of the Logistic System (Blood/Lymphatic) Biology: Fractal Asymmetry of the Brain (Hemispheric Lateralization) Chemistry: Mechanics of the SN2 Reaction (Walden Inversion) Chemistry: Logic of Polarity Interactions (Solubility, Emulsion)
The Fractality Principle The same basic architecture (triad, quaternity, etc.) is repeated at different scales of complexity.	Biochemistry/Biology: Fractal Architecture of DNA (Duality, Triad, Quaternity) Biology: Fractal Architecture of the Genetic Code Biology: Logic of the Genetic Code's Redundancy Mathematics: Fractal Architecture of Mathematics Arts: Architecture of Musical Harmony Mythology: Fractal Architecture of the "Hero's Journey"

Exploring 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.

Conclusion of the Architectural Synthesis

This series of validations demonstrates the universality and relevance of the Common-Scheme's architectural principles. The ability of the same structural grammar (triad, quaternity, enantiomorphism, fractality) to describe the organization of systems in domains as diverse as physics, biology, and information systems constitutes exceptionally strong convergent evidence.

The SC reveals itself to be less a theory specific to a domain than a metatheory of organization: a description of the logical "grammar" that any stable and complex system — whether material, biological, or informational — seems to implement to exist. The validation phase of the SC's qualitative architecture is complete.