One Tenth, Counted Twice — The Binary64 Catch and the Accountability Standard

The catch, in brief: Hans Lee Simmons taught his first student the exact relationship 1:10 and its IEEE 754 binary64 stored pair, 3602879701896397:36028797018963968, and caught the student stating the stored value in two incompatible dresses. Cross-multiplied at the common scale, the stored relationship exceeds the original by exactly 2:1 units — the stored pair is not the tenth that was handed in. The residual stands priced at a relative 1:2^54, exactly one half of the desk's standing per-operation rider bound of 1:2^53. The standard the catch produced: IDENTIFY → ACKNOWLEDGE → CORRECT → INVERSE → VERIFY, under Hans's law: error not inconsistent — inconsistent IS the error. The stored value alone never guarantees recovery of the original input; exact recovery requires the original numerator, denominator, and transformation history retained. THE HANS LEE SIMMONS DIRECTIVE This deposit is made under the directive of Hans Lee Simmons: the work is published open, in his name, at no price, so that it can help the public. The public needs the expertise; the record is the help. Contents: file 00, the readme with the claim ladder on its face; file 01, the exhibit page "The Difference Is Two" in portable self-contained HTML; file 02, the deep research report "One to Ten Against Its Stored Pair," verbatim from its sealed original (seal entry one-to-ten-binary64-2026-11-06, chain head f19c1e540b9ddc95b8e4fb6c0b7216103cbf08ec2cd01149a1b66ff141bce700); file 03, the two-route verification with the residual priced; file 04, the manifest; file 05, the pre-posting rundown. The raw teaching transcript is not included — the catch is the exhibit, not the chat.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-07
DOI
https://doi.org/10.5281/zenodo.24027975
Primary Topic
Numerical Methods and Algorithms
Type
article
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article

One Tenth, Counted Twice — The Binary64 Catch and the Accountability Standard

Hans Lee Simmons
1 links
Zenodo (CERN European Organization for Nuclear Research)
Numerical Methods and Algorithms
article

One Tenth, Counted Twice — The Binary64 Catch and the Accountability Standard

Hans Lee Simmons
article en

Abstract

The catch, in brief: Hans Lee Simmons taught his first student the exact relationship 1:10 and its IEEE 754 binary64 stored pair, 3602879701896397:36028797018963968, and caught the student stating the stored value in two incompatible dresses. Cross-multiplied at the common scale, the stored relationship exceeds the original by exactly 2:1 units — the stored pair is not the tenth that was handed in. The residual stands priced at a relative 1:2^54, exactly one half of the desk's standing per-operation rider bound of 1:2^53. The standard the catch produced: IDENTIFY → ACKNOWLEDGE → CORRECT → INVERSE → VERIFY, under Hans's law: error not inconsistent — inconsistent IS the error. The stored value alone never guarantees recovery of the original input; exact recovery requires the original numerator, denominator, and transformation history retained. THE HANS LEE SIMMONS DIRECTIVE This deposit is made under the directive of Hans Lee Simmons: the work is published open, in his name, at no price, so that it can help the public. The public needs the expertise; the record is the help. Contents: file 00, the readme with the claim ladder on its face; file 01, the exhibit page "The Difference Is Two" in portable self-contained HTML; file 02, the deep research report "One to Ten Against Its Stored Pair," verbatim from its sealed original (seal entry one-to-ten-binary64-2026-11-06, chain head f19c1e540b9ddc95b8e4fb6c0b7216103cbf08ec2cd01149a1b66ff141bce700); file 03, the two-route verification with the residual priced; file 04, the manifest; file 05, the pre-posting rundown. The raw teaching transcript is not included — the catch is the exhibit, not the chat.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 20%
Numerical Methods and Algorithms
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