The Language of Adam: an integral architecture for one typed language across modalities via Phase Algebra (working specification v0.1; prior art)

prior art A working specification (status: DESIGN, with small measured receipts) of a common record format and grammar for heterogeneous data: numbers, categories, time, text, tables, time series, graphs, game positions and operators. Each data type enters through a canonical typed chart (circles, spheres, trees) with stored parameters; transformations are written as words of rotors and scales (Iwasawa K·A·N = QR, Cartan K·A·K = SVD); every object carries a passport with independent residuals and a ledger, and cross-modal bridges are admitted only after a passed test, otherwise the system abstains. Tables are treated in detail (typed columns, missingness masks, relations as sheaf conditions, bitwise round trip). The note is deliberately sober: small sandbox checks show that a K·A·N word has as many parameters as a dense matrix (no free compression), that a Cayley time chart loses resolution far from its anchor, and that a single Magnus exponential is not an exact "O(1) time jump" for non-commuting generators. It lists statements of the working draft that must be corrected, and an MVP plan with admitting tests and falsifiers. Hypotheses (Higgs-type word mass, Ricci-flow nonlinearity, adelic resonance) are marked HYP or PARK. No universal solver and no P = NP claim. FOOD ↓ Adam compiler ↓ Adam objects ↓ phase/semantic graph ↓ ants ↓ candidate operators/code ↓ experiments ↓ PhasePassport ↓ consortium ↓ Human ↓ BODY S.V.E. Meta-License 5.5 (v6.0 signed, effective 2026-12-22 21:22 CET): share-alike & earnBIG-openly & free4Human4Ever. Details: https://doi.org/10.5281/zenodo.19373736

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-07
DOI
https://doi.org/10.5281/zenodo.24034615
Primary Topic
Logic, programming, and type systems
Type
preprint
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preprint

The Language of Adam: an integral architecture for one typed language across modalities via Phase Algebra (working specification v0.1; prior art)

Artiom Kovnatsky
Zenodo (CERN European Organization for Nuclear Research)
Logic, programming, and type systems
preprint

The Language of Adam: an integral architecture for one typed language across modalities via Phase Algebra (working specification v0.1; prior art)

Artiom Kovnatsky
preprint en

Abstract

prior art A working specification (status: DESIGN, with small measured receipts) of a common record format and grammar for heterogeneous data: numbers, categories, time, text, tables, time series, graphs, game positions and operators. Each data type enters through a canonical typed chart (circles, spheres, trees) with stored parameters; transformations are written as words of rotors and scales (Iwasawa K·A·N = QR, Cartan K·A·K = SVD); every object carries a passport with independent residuals and a ledger, and cross-modal bridges are admitted only after a passed test, otherwise the system abstains. Tables are treated in detail (typed columns, missingness masks, relations as sheaf conditions, bitwise round trip). The note is deliberately sober: small sandbox checks show that a K·A·N word has as many parameters as a dense matrix (no free compression), that a Cayley time chart loses resolution far from its anchor, and that a single Magnus exponential is not an exact "O(1) time jump" for non-commuting generators. It lists statements of the working draft that must be corrected, and an MVP plan with admitting tests and falsifiers. Hypotheses (Higgs-type word mass, Ricci-flow nonlinearity, adelic resonance) are marked HYP or PARK. No universal solver and no P = NP claim. FOOD ↓ Adam compiler ↓ Adam objects ↓ phase/semantic graph ↓ ants ↓ candidate operators/code ↓ experiments ↓ PhasePassport ↓ consortium ↓ Human ↓ BODY S.V.E. Meta-License 5.5 (v6.0 signed, effective 2026-12-22 21:22 CET): share-alike & earnBIG-openly & free4Human4Ever. Details: https://doi.org/10.5281/zenodo.19373736

Zenodo (CERN European Organization for Nuclear Research)
Logic, programming, and type systems
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