Glossary Onboarding

The τ-framework introduces some vocabulary that may be unfamiliar even to mathematicians, physicists, biologists, or philosophers. This primer covers the core terms you’ll encounter across the physics (95), life (78), and metaphysics (68) glossary collections.

If you read these definitions you’ll understand 90% of any glossary entry without further context. Each term links to its full glossary entry where applicable.

The kernel-level terms

τ (the kernel) The categorical universe of discourse. The framework’s foundational object, defined by the Universe Postulate (I.K0). Everything else derives from τ.

ι_τ (iota-tau, the master constant) A pure dimensionless number ι_τ ≈ 0.341304, equivalent to 2/(π+e) algebraically. Every dimensional constant in physics emerges as an ι_τ-chain expression times a (M, L, ℏ)-dimensional factor. See PG-C02-iota-tau.

τ-categorical Adjective. Means: derived from the τ-kernel’s categorical structure, as opposed to derived from a specific model or experimental input. A τ-categorical claim is a structural fact about τ itself.

Sector A τ-categorical sub-domain that emerges from the kernel as a coherent unit. Examples: the gravity sector (where Newton’s G lives), the chirality sector (where homochirality emerges), the empirical sector S_E (where Reg_E reads).

The reading-out terms

Register (Reg_E, Reg_P, Reg_D, Reg_C) The four canonical “readout functors” — categorical functions from τ into observation/normative/proof/stance codomains. Each register reads a different aspect of τ-categorical reality:

• Reg_E → Obs: empirical observations (MG-R01)
• Reg_P → Norm: ethical / normative content
• Reg_D → Proof: mathematical / logical content
• Reg_C → Stance: commitment / character / dignity

Codomain The target category of a register functor. Reg_E’s codomain is Obs; Reg_P’s is Norm. Each glossary entry’s “register codomain” field names where it lives.

The physics-cascade terms

SI translation The Section 3 of every physics glossary entry. The numerical SI value, uncertainty, and calibration anchor. Every physics SI value traces back through the cascade to one empirical input: m_n.

Calibration anchor The single empirical input to a calibration cascade. In physics, PG-P01-neutron (m_n = 1.6749275 × 10⁻²⁷ kg). In life, LG-Y02-kinetic-pseudoscalar-channel (the K_χ channel). Metaphysics has no anchor — it’s categorical-only.

m_n (neutron mass) The single SI anchor of the entire physics cascade. Why neutron and not electron or proton? See PG-P01-neutron.

(M, L, ℏ) triple The dimensional basis. Mass scale (anchored at m_n), length scale (Bohr-radius-related via ι_τ-chain), action quantum (via ι_τ-chain). Every physical constant is built from these three.

The life-cascade terms

K_χ (the Kinetic Pseudoscalar Channel) The single structural anchor of the life cascade (LG-Y02, registry VI.L18). A parity-odd, time-even operator that amplifies the weak-sector chirality seed (~10⁻¹⁷) into biological homochirality (ee ≈ 1.0).

Empirical correlate The Section 3 of every life glossary entry. A biomarker, measurable range, observation method, and (for chirality-sensitive entries) anchor chain to LG-Y02 / VI.L18.

Homochirality The dominance of one molecular handedness in living systems. L-amino acids in proteins; D-sugars in nucleic acids. ee ≈ 1.0 across all known terran biology.

The metaphysics-architecture terms

Phenomenological correlate The Section 3 of every metaphysics glossary entry. Lived-experience instantiation, narrative or ethical example, and the register codomain. No calibration anchor — metaphysics is categorical-only.

OR1–OR6 (Six Ontic Requirements) The structural narrowing principles that any candidate ontic reality must satisfy: self-coherence (OR1, MG-P01), completeness (OR2), generativity (OR3), independence (OR4), continuity (OR5), stability (OR6).

CI graph (Consequence-Intervention) The architectural structure connecting causal claims to their commitments across registers (MG-A01). Spans Reg_P / Reg_D / Reg_C.

The 4-section glossary contract

Every glossary entry — across all three domains — carries the same 4-section structure:

1. τ-Definition — what the term is in the framework, with primary registry anchor.
2. τ-Derivation — chain of registry steps that derive the term from I.K0.
3. Domain-specific Section 3 — si_translation / empirical_correlate / phenomenological_correlate.
4. Lean coverage — formal-verification status (formalized / partial / planned / etc.).

Plus: related glossary entries (cross-references) + referenced_by (reverse edges) + tags + version.

Cross-domain edges

When a glossary entry’s related_glossary_entries references a term in a different domain, that’s a cross-domain bridge. See Cross-Domain Edges for the full list.

How registry IDs work

Every τ-categorical commitment has a registry ID like I.K0 (Book I, axiom K0) or IV.D11 (Book IV, definition 11). Glossary entries’ primary_registry_id field anchors them to a specific registry item. The full registry has 4,547 objects across 7 books.

Read next

• Physics Glossary — start with PG-P01-neutron (the SI anchor) or PG-C02-iota-tau (the master constant)
• Life Glossary — start with LG-Y02-kinetic-pseudoscalar-channel (the K_χ anchor)
• Metaphysics Glossary — start with MG-R01-empirical-register (Reg_E)
• Cross-Domain Edges — the structural bridges
• How to read a result page