The Leibniz Convergence: Binary Arithmetic, Infinitesimal Calculus, and Monadology as the Mathematical Prehistory of V=N/D (v2 — Peer-Critique Strengthened)

Revised v2: Three critical objections addressed and embedded. (1) Rational-number LUX multipliers (1.5×, 2.0×) are fully representable as IEEE 754 binary fractions — the binary substrate claim is strengthened, not weakened. (2) Genetic pre-programming of bone growth is identified as KOKU from evolutionary GENKI at geological timescale — the KOKU=∫N dt relationship holds at all timescales simultaneously. (3) LUX transfer (payment, royalty) does not violate the monad irreducibility claim — the analogy operates at the unit-definition level; LUX transfers are the ledger-level pre-established harmony, not monad-level interaction. All three propositions now include rigorous objection-response pairs. Leibniz's three contributions (binary 1679, calculus 1675, monadology 1714) are established as mathematical predecessors to V=N/D, Hikari LUX, and GENKI/KOKU.

Authors

Institutions

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-18
DOI
https://doi.org/10.5281/zenodo.20740731
Primary Topic
History and Theory of Mathematics
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

The Leibniz Convergence: Binary Arithmetic, Infinitesimal Calculus, and Monadology as the Mathematical Prehistory of V=N/D (v2 — Peer-Critique Strengthened)

Yoshimitsu Katayama
Zenodo (CERN European Organization for Nuclear Research)
History and Theory of Mathematics
preprint

The Leibniz Convergence: Binary Arithmetic, Infinitesimal Calculus, and Monadology as the Mathematical Prehistory of V=N/D (v2 — Peer-Critique Strengthened)

Yoshimitsu Katayama
preprint en

Abstract

Revised v2: Three critical objections addressed and embedded. (1) Rational-number LUX multipliers (1.5×, 2.0×) are fully representable as IEEE 754 binary fractions — the binary substrate claim is strengthened, not weakened. (2) Genetic pre-programming of bone growth is identified as KOKU from evolutionary GENKI at geological timescale — the KOKU=∫N dt relationship holds at all timescales simultaneously. (3) LUX transfer (payment, royalty) does not violate the monad irreducibility claim — the analogy operates at the unit-definition level; LUX transfers are the ledger-level pre-established harmony, not monad-level interaction. All three propositions now include rigorous objection-response pairs. Leibniz's three contributions (binary 1679, calculus 1675, monadology 1714) are established as mathematical predecessors to V=N/D, Hikari LUX, and GENKI/KOKU.

Zenodo (CERN European Organization for Nuclear Research)
Bukhara State University (UZ)
History and Theory of Mathematics
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.