Trailokya¶
A source-indexed Indian religious schema that organizes a declared cosmological range into exactly three named worlds or realms, while leaving their membership, ordering, transitions, and transcendent boundary to the governing Hindu, Buddhist, or Jain tradition.
Core Idea¶
Trailokya (Sanskrit trailokya, also triloka) literally means “three worlds.” In Indian religious literature it names a family of cosmological schemas in which a tradition-declared range of existence is organized into exactly three worlds, spheres, planes, or realms. The term may also function metonymically for “the whole inhabited or conditioned cosmos” when a deity, event, teaching, or action is said to extend across all three worlds.
The abstraction is source-indexed. It does not assert that Hindu, Buddhist, and Jain traditions share one map whose labels can be translated position by position. A Hindu vertical triad such as earth, midspace, and heaven; the Buddhist realms of desire, form, and formlessness; and the Jain lower, middle, and upper worlds all instantiate threefold cosmological organization, but they divide by different axes, populate the divisions differently, and relate them differently to rebirth and liberation.
Scope of Application¶
Hindu texts and practices. Triloka and trailokya can name the three worlds as a total cosmic range. Monier-Williams glosses trailokya as the three worlds and gives the familiar heaven, earth, and lower-region sense; modern Sanskrit philosophical reference works likewise record triloka as “the three worlds.” Individual sources may use earth–midspace–heaven, earth–heaven–netherworld, or other inherited arrangements. Narratives of Viṣṇu as Trivikrama or Vāmana use cosmic strides to express traversal or dominion over the worlds, while compounds and epithets can invoke all-world scope without restating a complete map. The exact triad must be recovered locally.
Clarity¶
The decisive question is not “Does this mention three?” but “Which cosmological total is being divided, along what axis, by whose convention?” That question prevents most conflations.
For each use, fill six fields: source or school; three member names; translation; differentiating axis; inhabitants or states; and outside boundary. If the fields cannot be filled, the phrase may be an all-world epithet or an incomplete reference, but it should not support detailed cosmological inference.
Manages Complexity¶
Religious cosmologies can contain many heavens, hells, continents, beings, meditative states, temporal cycles, and routes of rebirth. Trailokya compresses this multiplicity at one declared analytical resolution. Thirty-one Buddhist planes, numerous Jain heavens and hells, or many Hindu lokas can be grouped under three primary domains without erasing their internal levels. The triad becomes a table of contents for a much larger cosmography.
Abstract Reasoning¶
The tuple \(T_V\) licenses several bounded deductions.
Coverage reasoning. If a source explicitly treats \(W_1,W_2,W_3\) as exhaustive for \(C_V\), then a case inside that declared range must be routed to one domain. If a being seems to fit none, either the membership rule is misunderstood, the source admits an outside category, or the alleged partition is incomplete. Exhaustivity is source-relative: the Buddhist realms can exhaust conditioned rebirth without exhausting every claim about nirvāṇa.
Knowledge Transfer¶
Within Hindu studies, the method transfers across texts by preserving the analytical procedure rather than one list: identify the compound, recover the three members, locate the narrative or ritual operation, and distinguish inherited cosmography from rhetorical “all worlds” scope. A Trivikrama narrative and a deity epithet can invoke the same totalizing vocabulary while using it differently.
Within Buddhist studies, it transfers across Abhidharma, Yogācāra, cosmological diagrams, and meditation discussions when desire/form/formless membership and the relation to conditioned rebirth remain explicit.
Relationships to Other Abstractions¶
Current abstraction Trailokya Domain-specific
Parents (1) — more general patterns this builds on
-
Trailokya is a kind of Partition Prime
Trailokya strictly instantiates
prime:partitionwhen the source's declared cosmological range is treated as exhaustively divided at the primary level into three mutually distinguishable domains.
Hierarchy path (1) — routes to 1 parentless root
- Trailokya → Partition → Set and Membership
Neighborhood in Abstraction Space¶
Trailokya sits in a sparse region of the domain-specific corpus (98th percentile for distinctiveness): few abstractions share its structure, so a faithful description tends to retrieve it precisely.
Family — Unclustered & Miscellaneous (1565 abstractions)
Nearest neighbors
- Cosmogony — 0.77
- Zero-Energy Universe — 0.76
- Static universe — 0.75
- Bentley's paradox — 0.74
- Canon — 0.74
Computed from structural-signature embeddings · 2026-09-08