Cross-Domain Projection Terms

Projection terms are familiar concepts from scientific or mathematical domains that are interpreted through Coherence Geometry. They include terms such as charge, particle, field, bond, entropy, measurement, protein fold, memory basin, and related domain-facing structures.

In CG, these terms are not usually treated as base-level primitives. Instead, they are understood as appearances of coherence-geometric structure under a particular projection. A physical term, chemical term, biological term, or computational term may therefore describe a domain-specific expression of the same underlying framework.

The entries below are intended as translation aids. They help readers connect familiar scientific language to the CG atate while preserving the distinction between the underlying framework and its domain-specific projections.

Charge

Type: Projection term
Domain: Electromagnetism / field theoryAt the CG base level, charge is not assumed as a primitive point property. It is interpreted as an emergent source-like structure arising from coherence organization, phase alignment, amplitude structure, and projection into an electromagnetic field description.

In the electromagnetic projection, charge appears as a source property that couples to field structure and supports Maxwell-type behavior.

Primitive status: Not primitive at the CG base level; recovered as a projected source property.

Related CG terms: phase alignment, source structure, field geometry, coherence channel, projection, amplitude organization.

Appears in: Charge paper, Electromagnetism paper, Part II physics text.


Particle

Type: Projection term
Domain: Physics

At the CG base level, a particle is not assumed as a primitive point object. It corresponds to a stable, localized, admissible coherence organization whose phase-amplitude structure persists under the constraints of a projection domain.

In physical projections, such structures may appear as particles, excitations, bound states, localized field observables, or persistent coherent configurations.

Primitive status: Not primitive at the CG base level; recovered as a projected localized coherence structure.

Related CG terms: coherence basin, admissibility, localization, phase structure, amplitude sharing, projection.


Field

Type: Mixed term
Domain: Core CG framework and physics

At the CG level, a field may refer to an organized distribution of amplitude, phase, and coherence relations across a domain. This is broader than a classical physical field.

In physics projections, field structure may appear as electromagnetic fields, scalar fields, wave fields, effective gravitational structure, or other domain-specific field quantities.

Primitive status: Mixed. CG may use field language internally, while classical fields appear as projected domain structures.

Related CG terms: phase field, amplitude structure, field geometry, projection, source structure.


Bond

Type: Projection term
Domain: Chemistry

At the CG base level, a bond corresponds to a stable coherence relation between components, maintained by compatible phase structure, amplitude sharing, and constraint satisfaction.

In chemistry, this projects as a molecular or atomic bond. Bond formation is interpreted as constrained coherence formation rather than merely selection from a fixed list of possible states.

Primitive status: Not primitive at the CG base level; recovered as a stable projected coherence relation.

Related CG terms: coherence relation, amplitude sharing, phase compatibility, torsion, constraint, relaxation.


Pauli Exclusion

Type: Projection term
Domain: Quantum chemistry / quantum foundations

At the CG base level, Pauli-like exclusion may be interpreted as a compatibility constraint on coherent structure, especially involving phase, torsion, or orientation relations that prevent certain configurations from jointly stabilizing.

In chemistry and quantum projections, this appears as exclusion behavior among fermionic states or as a constraint shaping allowable bonding configurations.

Primitive status: Not primitive at the CG base level; interpreted as a projected coherence-compatibility constraint.

Related CG terms: torsional phase component, admissibility, coherence relation, phase compatibility, constraint.


Protein Fold

Type: Projection term
Domain: Biology / biophysics

At the CG base level, a protein fold corresponds to a stable coherence organization maintained under many simultaneous constraints. It is not merely a selected final shape; it is a persistent structural regime compatible with local interactions, global geometry, hydrophilic/hydrophobic organization, and dynamical motion.

In biological projection, this appears as protein folding and folded protein dynamics.

Primitive status: Not primitive at the CG base level; recovered as a stable biological projection of constrained coherence formation.

Related CG terms: coherence basin, relaxation, constraint, amplitude sharing, stable organization, persistence.


Memory Basin

Type: Projection term
Domain: Computation / CDI / machine learning

At the CG base level, a memory basin is a coherence basin used as an organized response region within a computational projection. It represents stable memory-like organization rather than a symbolic stored value alone.

In CDI or learning projections, class responses may organize into distinct basins during training, with response fields refining around structured centers.

Primitive status: Projection of the coherence basin concept into computation.

Related CG terms: coherence basin, response field, training center, relaxation, classification, projection.


Entropy

Type: Projection term
Domain: Thermodynamics / information theory

At the CG base level, entropy may be interpreted through the multiplicity of coherence-compatible configurations under reduced observation. It reflects the loss of resolution or multiplicity that appears when a full coherence structure is projected into macroscopic or informational variables.

In thermodynamic projection, entropy appears as a measure of macroscopic disorder or multiplicity. In information projection, it appears as uncertainty or information content.

Primitive status: Not primitive at the CG base level; recovered through projection and coarse-graining.

Related CG terms: projection, reduced observables, multiplicity, coherence state, thermodynamic structure.


Measurement

Type: Projection term
Domain: Quantum foundations / observation theory

At the CG base level, measurement may be interpreted as a projection or stabilization event in which a coherence structure becomes expressed through a restricted observable channel.

In quantum projection, measurement appears as the transition from structured possibility to observed outcome, often described through collapse, decoherence, or operator-based observables in conventional language.

Primitive status: Not primitive at the CG base level; interpreted as projection, stabilization, or attractor convergence under observational constraint.

Related CG terms: projection, observable, coherence basin, relaxation, constraint, attractor convergence.