Finite Ring Cosmology

Theoretical framework for reinterpretation of Mathematics, Physics and Cosmology over a finite holographic substrate whose cardinality is fixed by the de Sitter entropy. One succession of arguments from first principles to finite arithmetic, open problems of mathematics, and the physics of the Standard Model. Every claim tagged, sourced, formalised and, where it admits a finite check, machine-verified.

The predicate ledger of the corpus: the master ledger 00 and the ledger of every public paper, one predicate per row. A row is cited by its ledger and label, as 00:A1 or 35:P11, and each label opens the row in its own ledger. The accession key pNNNNN stays fixed while labels may move, and register.html#pNNNNN opens its row. The Filters choose a paper, a block and a status, and the search runs within the choice. Across all papers, a prediction or an explanation stated in more than one paper is listed once, at its first appearance, with its restatements linked.

Filters
#PredicateStatus Sources

Status

G
ground — the single given that conditions the discourse
T
theorem — derived within the framework
D
definition — a naming or set-up move, no empirical content
R
realisation — what a physical term denotes in the substrate; forced (A8), each row stating the falsifier that kills it
I
import — a standard result or measured datum, used without reproof
Ω
Ω-hard — a value in no embedded reader's window, not closeable by a bounded observer; host-decided on any laboratory Carrier; never applied to a relation
O
open — genuinely unresolved

Sources

python sourceLean, the coreLean, Mathlib
The witnesses. Gold: the python check that decides the predicate, at its line in the script. Green: the predicate as one Lean declaration in the core, named by its accession key, proved with no axioms. Violet: the same on Mathlib. Red: a check that fails or a proof the gate rejects.
section
As on the ledger page: the statement in the paper's body that carries the predicate or, for a master predicate, the papers that state it.
rests on
The predicates it rests on or names, by label.