The closest to this idea is SQLite (open source and mentioned in the article) and SQL Anywhere from SAP (commercial and not mentioned in the article). But as the article pointed out most of the current solutions rely on SQL.
I'd love to have the new database system to be open source and uses modern open data format for examples TileDB, Arrow and Parquet. The computation part should be language agnostic and independent of the programming languages such as JuliaDB or personally I'd prefer D programming language.
Coincidentally, around seven years ago Bryan from Joyent (Joyent's presentation is mentioned as the main motivation early in the article) has blogged about this similar effort targeting POSIX systems (specifically ZFS) that eventually becomes Manta and now part of Triton a.k.a SmartDataCenter [1]. For details implementation please refer to the original paper [2].
[1]http://dtrace.org/blogs/brendan/2013/06/25/manta-unix-meets-...