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NIOT-00 · Overview draft
Numerical Information Object Theory
NIOT-00 · Overview draft
Neo.K (as signed)
Numerical Information Object Theory: From Linear Floating-Point Projection to Unbounded Probe Matrices and the Microscopic World of Numbers
The seed of the whole series. It proposes that a usable numerical value x is only a finite projection of a richer 'numerical information object' 𝔑_x, which can be examined from different angles by a family of 'information probes' held in matrices that are finite at every epoch but have no fixed bound on dimension (unboundedly expandable finite matrices). The draft lists seven axioms and ten open questions, and states in §17 and §30 that it is a working framework: it does not claim completed formalization, proof, engineering validation or fixed terminology.
The overview proposes a framework in which a usable numerical value is a projection of a richer information object that can be observed, step by step, with finite but unboundedly expandable probe matrices. It is a proposal, not an established result.
Phrases such as 'this is the main paradigm shift proposed here' are proposal-voice. §17 lists three over-claims to avoid, and §30 declares that the draft does not claim completed formalization, proof, engineering validation or fixed terminology. The series' own central test question (question 10: how to build a first executable MVP showing that the theory is not a renaming of metadata) is not yet answered.
Connections · Connections
This is a full-text translation of the Chinese source, which remains authoritative for its research claims. Translation is not independent mathematical verification and does not upgrade the original evidence level.