Work Classification Layer
Compare Works
Pick two or more works to set their attribute fingerprints, dimension-by-dimension passages, and shared school embodiments side by side. Especially useful for author-stage comparisons (Wittgenstein early vs late) and for setting a single tradition's foundational texts against each other.
An Example of a New Type of Cosmological Solution to Einstein's Field Equations
A mathematically consistent rotating universe in which closed timelike curves exist — time-travel into the past is permitted by Einstein's equations
Attribute Fingerprint
Rows where works disagree are highlighted in gold. The full ontology grid is shown.
| Attribute | An Example of a New Type of Cosmological Solution to Einstein's Field Equations (Mature (the Princeton period — Gödel's only published paper in general relativity)) |
|---|---|
| Time · Extent | Infinite |
| Time · Ontological Status | Relational |
| Time · Grain | Continuous |
| Time · Freedom | Deterministic |
| Time · Traversability | Cyclical |
| Time · Dimensionality | One |
| Time · Direction | Non-directional |
| Space · Extent | Infinite |
| Space · Ontological Status | Substantival |
| Space · Curvature | Curved |
| Space · Dimensionality | Three |
| Space · Locality | Non-local |
| Matter · Extent | Infinite |
| Matter · Ontological Status | Substantival |
| Matter · Conservation | Conserved |
| Matter · Dimensionality | Three |
| Matter · Locality | Local |
| Observer · Time Instance | Multiple |
| Observer · Space Instance | Single |
| Observer · Knowledge Extent | Partial |
| Observer · Knowledge Retainment | Total |
| Observer · Physicality | Embodied |
| Observer · Agency | Active |
| Observer · Number | Plural |
| Observer · Metaphysical Agency | None |
| Observer · Moral Authority | Reason |
| Observer · Theological Method | — |
| Energy · Extent | Infinite |
| Energy · Ontological Status | Substantival |
| Energy · Conservation | Conserved |
| Energy · Dispersibility | Reversible |
| Information · Ontological Status | Substantival |
| Information · Cosmic Conservation | Conserved |
| Information · Personal Conservation | Conserved |
| Information · Granularity | Continuous |
Dimension-by-Dimension Evidence
What each work's passages reveal about its stance on each of the six dimensions.
Time
An Example of a New Type of Cosmological Solution to Einstein's Field Equations
The decisive dimension — the paper exhibits a relativistic universe with no global time function; closed timelike curves through every point mean past, present, and future cannot be globally distinguished.
Space
An Example of a New Type of Cosmological Solution to Einstein's Field Equations
Curved Lorentzian spacetime; the rotating matter induces a non-trivial global geometry.
Matter
An Example of a New Type of Cosmological Solution to Einstein's Field Equations
Pressure-free dust with non-zero density and angular velocity; Einstein's equations are satisfied with a negative cosmological constant.
Observer
An Example of a New Type of Cosmological Solution to Einstein's Field Equations
The observer is "local" — a worldline in the spacetime — and the paper denies that any privileged global "now" picks out the observer's present.
Energy
An Example of a New Type of Cosmological Solution to Einstein's Field Equations
Energy-momentum tensor of the rotating dust; the cosmological-constant term contributes a constant background.
Information
An Example of a New Type of Cosmological Solution to Einstein's Field Equations
The mathematical content of the solution and the philosophical lesson Gödel draws — that the lived "now" is not in the physics itself.
Internal Tensions
Where each work's argument pulls against itself.
The Gödel universe is not (and was not expected by Gödel to be) the actual cosmology — the observed universe shows no global rotation. The philosophical argument depends on the modal move from "physically possible" to "metaphysically informative," which presentists and growing-block theorists resist (Tooley, Markosian, Sider). Whether the existence of pathological solutions teaches anything about the actual structure of time remains contested.