Results Glossary Entry Canonical metaphysics The Empirical Register Reg_E is the τ-categorical readout functor whose codomain is Obs (observations): the structural interface between the τ-framework and falsifiable empirical content. Reg_E is one of four canonical readout functors (E/P…
Results · Metaphysics Glossary · Register MG-R01-empirical-register Reg_E Canonical Lean · planned

Empirical Register (Reg_E)

The Empirical Register Reg_E is the τ-categorical readout functor whose codomain is Obs (observations): the structural interface between the τ-framework and falsifiable empirical content. Reg_E is one of four canonical readout functors (E/P/D/C) that together exhaust the metaphysical register architecture.

Metaphysics Glossary Primary: VII.D01 register empirical readout obs codomain first register

τ-Definition

The Empirical Register Reg_E is the τ-categorical readout functor whose codomain is Obs (observations): the structural interface between the τ-framework and falsifiable empirical content. Reg_E is one of four canonical readout functors (E/P/D/C) that together exhaust the metaphysical register architecture.

Categorical invariant. Functor Reg_E: τ → Obs whose image-objects are observable phenomena and whose morphisms preserve falsifiability. The first of four canonical readouts.

Primary registry anchor: VII.D01

Supporting items: VII.D07, VII.D02, VII.D03, VII.D04

τ-Derivation Chain

  1. I.K0 — Universe Postulate
  2. VII.D01 — Empirical Register Reg_E with codomain Obs
  3. VII.D07 — S_E (empirical sector) — the τ-sector that Reg_E reads

Phenomenological Correlate

Reg_E is instantiated whenever a categorical claim is rendered as a falsifiable observation. Examples: physics measurement (m_n via mass spectrometry); biology measurement (ATP/ADP ratio via NMR); psychology measurement (reaction time, neural correlates).

Examples:

  • Mass spectrometry of m_n → 1.6749 × 10⁻²⁷ kg (empirical reading of physics-glossary anchor)
  • Polarimetry of homochirality → ee ≈ 1.0 (empirical reading of life-glossary anchor)
  • fMRI of conscious vs unconscious states → BOLD activation patterns (empirical reading of phenomenal correlates)

Register codomain: Obs (observations, measurements, falsifiable empirical content)

Manuscript reference: manuscript-sources/book-07/part01/ch04-four-registers.tex

Lean Coverage

Status: Planned

Cross-domain bridges

This glossary term sits on the boundary between domains. The τ-framework's cross-domain pivots are the structural junctions where physics, life, and metaphysics readouts meet.

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