NAMING THE RESOLUTION Spatial, Phase, Chirality, and Infratier Structure Four Connected Terms for Generator-Resolved Closure Physics

Spatial → Spatial–Phase → Spatial–Phase–Chirality → Spatial–Phase–Chirality–Infratier P → S | S → SP → SPC → SPCI As a physical framework develops, terminology adequate at one stage can become ambiguous at a later stage. This is particularly true when a single expression is asked to describe both an ontological relation and a mathematical decomposition. This note distinguishes four connected structural terms: Spatial, Spatial–Phase, Spatial–Phase–Chirality, and Spatial–Phase–Chirality–Infratier. The sequence is proposed as a resolution vocabulary: each successive term names an additional structure that has been explicitly distinguished rather than merely assumed. This vocabulary is separated from the expression phase-spatial, which has a different purpose. Phase-spatial describes an explanatory or disclosure direction in which phase organization participates in the disclosure of physical spatial structure. Spatial-phase, by contrast, names the resolved structural pair consisting of spatial and phase organization. Naming order ≠ ontological generation order. Consequently, Phase–Spatial and Spatial–Phase need not be interchangeable expressions. Their ingredients overlap, but their semantic arrows differ. The resulting terminology provides a compact vocabulary for discussing increasingly resolved structures without forcing claims about ontological priority into every compound name.

Authors

Institutions

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-21
DOI
https://doi.org/10.5281/zenodo.22879382
Primary Topic
Philosophy and History of Science
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
preprint

NAMING THE RESOLUTION Spatial, Phase, Chirality, and Infratier Structure Four Connected Terms for Generator-Resolved Closure Physics

Philip Lilien
Zenodo (CERN European Organization for Nuclear Research)
Philosophy and History of Science
preprint

NAMING THE RESOLUTION Spatial, Phase, Chirality, and Infratier Structure Four Connected Terms for Generator-Resolved Closure Physics

Philip Lilien
preprint en

Abstract

Spatial → Spatial–Phase → Spatial–Phase–Chirality → Spatial–Phase–Chirality–Infratier P → S | S → SP → SPC → SPCI As a physical framework develops, terminology adequate at one stage can become ambiguous at a later stage. This is particularly true when a single expression is asked to describe both an ontological relation and a mathematical decomposition. This note distinguishes four connected structural terms: Spatial, Spatial–Phase, Spatial–Phase–Chirality, and Spatial–Phase–Chirality–Infratier. The sequence is proposed as a resolution vocabulary: each successive term names an additional structure that has been explicitly distinguished rather than merely assumed. This vocabulary is separated from the expression phase-spatial, which has a different purpose. Phase-spatial describes an explanatory or disclosure direction in which phase organization participates in the disclosure of physical spatial structure. Spatial-phase, by contrast, names the resolved structural pair consisting of spatial and phase organization. Naming order ≠ ontological generation order. Consequently, Phase–Spatial and Spatial–Phase need not be interchangeable expressions. Their ingredients overlap, but their semantic arrows differ. The resulting terminology provides a compact vocabulary for discussing increasingly resolved structures without forcing claims about ontological priority into every compound name.

Zenodo (CERN European Organization for Nuclear Research)
University Foundation (BE)
Philosophy and History of Science
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

NAMING THE RESOLUTION Spatial, Phase, Chirality, and Infratier Structure Four Connected Terms for Generator-Resolved Closure Physics — Philip Lilien · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS