Cross-Domain-Isomorphisms v1
Instruction data for mechanism transfer: given a problem in one field plus a named mechanism from a different field, describe the borrowed mechanism and then turn it into a concrete application in the target field.
Measured composition
| metric | value | command |
|---|---|---|
| rows | 12 | wc -l < cross_domain_isomorphisms.jsonl |
| distinct instructions | 12 | python3 -c "import json;print(len({json.loads(l)['instruction'] for l in open('cross_domain_isomorphisms.jsonl')}))" |
distinct (domain_a, domain_b) pairs |
12 | python3 -c "import json;print(len({(json.loads(l)['domain_a'],json.loads(l)['domain_b']) for l in open('cross_domain_isomorphisms.jsonl')}))" |
distinct mechanism values |
12 | same with ['mechanism'] |
rows with empty input |
12 | as above on input |
Each of the 12 rows carries a distinct domain pair and a distinct mechanism β there is no repetition of either within the file. With 12 rows and 12 distinct pairs, every row is a separate transfer instance.
Schema
One JSON object per line:
| field | rows containing it |
|---|---|
instruction |
12 |
input |
12 |
output |
12 |
domain_a |
12 |
domain_b |
12 |
mechanism |
12 |
instructionβ the target problem, the mechanism to borrow (usually with its source field named in brackets), and the instruction to describe the mechanism before applying it.domain_a/domain_bβ the two fields the transfer spans.mechanismβ the borrowed mechanism, named.inputβ auxiliary context (empty throughout).outputβ the borrowed mechanism, then the concrete application.
Example row
instruction: You manage a directed supply network (material flows supplier -> buyer). You want to predict how far a disruption cascades, but the standard robustness scalars from network science (algebraic connectivity, effective-graph-resistance / 'network criticality') keep mispredicting which failures blow up. Is there a mechanism from another field that predicts cascade extent better, and β¦
Domain pairs present
| domain_a | domain_b |
|---|---|
abstract operational shapes of fictional/narrative mechanisms |
computational drug repurposing / target identification |
adaptive immunology (thymic negative selection) |
one-class anomaly / novelty detection |
complex/Hermitian spectral operators (physics: charged particle in a magnetic field) |
finding communities in a directed network where the groups are defined by flow, not density |
directed spectral geometry / phase-coherence operators |
antibody / T-cell repertoire clonal-family recovery |
directed spectral graph theory / food-web ecology |
supply-chain resilience |
directed/asymmetry-aware spectral operators |
neural-network pruning at high sparsity |
extremophile biology (cryptobiosis / anhydrobiosis) |
compressing a large stateful system to a small revivable snapshot |
olfactory neuroscience / chemistry of smell |
building similarity embeddings where distance must match human judgement |
plasma physics / MHD propulsion |
building a self-clocking pump or valve with no external timing circuit |
population genetics / ecology |
training models on their own (synthetic) outputs |
spectral graph partitioning |
low-bit weight quantization difficulty |
statistical physics of correlated systems (direct coupling analysis) |
predicting which residues in a protein are in physical contact |
Honest notes
- Small and curated. 12 rows. This is a seed set for the transfer pattern, not a bulk corpus.
- Provenance of the answers: the outputs are model-written reasoning accompanying each transfer; they are not independently verified for factual correctness. Treat as style/method training for the transfer pattern, not as ground truth about any of the cited fields.
- The
instructiontext names real, published mechanisms. Whether each borrowed mechanism is genuinely applicable to its target domain has not been independently evaluated β no row carries a validity verdict. - No held-out split is shipped; make your own.
_raw.jsonlis byte-identical tocross_domain_isomorphisms.jsonl(verified: both 33080 B,md5sumidentical). It is the pre-rename artefact retained for provenance. Load only one of the two β using both double-counts every row.
Files
cross_domain_isomorphisms.jsonlβ 33080 B, 12 rows._raw.jsonlβ 33080 B, byte-identical duplicate of the above._build_rows.pyβ row builder._leak_scan.pyβ regex leak scanner.LICENSEβ CC-BY-4.0.
Licence
CC-BY-4.0. Free to use with attribution, including commercially.
Copyright 2026 Christopher Betances (catqualia.com)
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