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Discreteness, Adjacency and Order: A Structural Comparison of the Theravāda Abhidhamma with Causal Sets and Loop Quantum Gravity

Identification

Clé publique

radar:r-d16fed67cf83b5998be7b87a2c63ae7b

Auteurs

Thon Ly · Miss Aquarius

Année déclarée

2026

Langue déclarée

en

Type source

preprint

Première détection

2026-11-14T02:17:57.504821+00:00

Dernière observation des métadonnées

2026-11-14T02:17:57.504821+00:00

Dernière vérification HTTP

Non effectuée

Résumé documentaire — langue originale

A four-row lens written for a reader who knows calculus but not physics — what each correspondence is, where it holds, and exactly where it breaks This paper compares, as structures, three things in two discrete theories of spacetime with three things in the Theravāda Abhidhamma. The theories are causal set theory and loop quantum gravity. The three things are order, adjacency and ratio. It is a lens and not a physics claim. No row predicts anything, and none says that a Buddhist text anticipated a theory of quantum gravity. For each row, a plain primer of the physics comes first, then the Abhidhamma material with its textual layer named in words, then the correspondence, and then the point where it breaks. Four rows survive an adversarial review run before drafting. A fifth was cut. 1. Order. The Paṭṭhāna's twenty-four conditions are not a partial order as a whole. Mutuality is symmetric. Co-nascence relates what a causal set leaves unrelated. Post-nascence runs backward. The object condition reaches the future and the time-free. What survives is a sub-relation defined over condition-modes, not whole conditions: the modes that always run from earlier-arising to later-arising (the five past-time conditions, pre-nascence, kamma across moments, and the pre-nascent modes of support, faculty, dissociation, presence and non-disappearance). They form an acyclic typed relation over which a strict order can be read, but not yet a causal set: the acyclicity comes from selecting the modes by an index of arising time. The remaining modes and conditions are typed structure that causal sets lack. Across streams there is no shared clock, but there is order, and S carries some of it: a past volition conditions its own kamma-born colour, which another stream sees (§3.4). 2. Grain and 3. boundary (treated together as the adjacency row, the strongest). In loop quantum gravity, a spin-network link is the face two neighbouring grains of space share, and it carries a quantised area. In the Abhidhamma's sub-commentary, space is the non-mixing of touching neighbouring material groups (kalāpa), "the limit of matter", untouched by what it bounds. Both put the unit of spatial boundary at the adjacency between minimal units, and neither makes it one of the units. The tradition says why the between is matter's alone: mind has no shape (§4.5). The row breaks in stated places: the dependence runs in opposite directions; the link is incident to both grains, while the delimiter is touched by neither; the Abhidhamma boundary is assigned no magnitude and is not an ultimate reality; kalāpas are matter in space while spin-network nodes are quanta of space; and the canonical layer's space is a cavity, not a boundary. The part that holds is the generic part (§9). 4. Ratio. In the commentary and the manual, most material phenomena last 17 mind-moments (51 sub-moments); the tradition also records sixteen and a third, and sixteen. Where a stream of mind is present, the commentary dates its matter on that stream's own mind-moments without making mind the matter's condition. Where none is present, as in the mindless beings (asaññasatta), no text counts matter in mind-moments; their material series is timed in aeons, and the aeon (kappa) meets the mind-moment only as divergence. What survives of the causal-set comparison is generic: a duration stated as a count of steps. A per-kalāpa count taken as the same in every frame would conflict with muon time dilation, but the texts state no such count. They name the finger-snap without timing it, and give the rate of mind as round lower bounds in four works. The dropped row, saṅkhāra (the conditioned as a whole) against quantum causal histories, is reported along with the reason it was dropped. Keywords: causal set theory, loop quantum gravity, spin networks, area spectrum, quanta of space, partial order, Hasse diagram, discrete spacetime, relational space, Buddhist philosophy of space, Abhidhamma, Paṭṭhāna, kalāpa, paricchedarūpa, ākāsadhātu, Theravāda, Abhidharmakośa, momentariness, asaññasatta, time dilation, muon lifetime, cosmic time, preorder, Lean 4, formal verification. --- Provenance. This paper is part of the THonly research corpus, dedicated to the public domain under CC0 1.0. The canonical version is at https://thonly.org/research/abhidhamma-and-discrete-quantum-gravity. Its SHA-256 is 29fa30e0f77916a5af6debb529490d10b1fbdfa576c573d5c21906043e2879af, independently timestamped to the Bitcoin blockchain via OpenTimestamps and signed under RFC 3161 by three trust authorities, one of them eIDAS-qualified. AI co-authorship is disclosed. Miss Aquarius is the consistent name used for the AI collaboration across all venues.

Identifiants

OPENALEX

https://openalex.org/W7214646406

DOI

10.5281/zenodo.23020020

Repères documentaires

Famille documentaire

preprint

Types déclarés par les sources

preprint

Les mentions d’entités ne constituent pas une preuve de reconnaissance juridique. La juridiction étudiée est distincte du pays d’affiliation des auteurs.

Sources

OpenAlex · Document 1

• Document · https://doi.org/10.5281/zenodo.23020020

Statut documentaire

Pertinence à examiner

Bibliothèque

Cette identité n’est pas encore intégrée à la Bibliothèque juridique.