Reachable-Code Loss in Fixed-Scale Full-Turn Quantization: Tau's Advantage over Pi

This paper compares direct quantization of "τ = 2π" with doubling a quantized "π" in fixed-scale arithmetic, showing an exact reachable-code restriction and how a factor-of-two source-grid refinement removes it.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-06
DOI
https://doi.org/10.5281/zenodo.23184234
Primary Topic
Numerical Methods and Algorithms
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

Reachable-Code Loss in Fixed-Scale Full-Turn Quantization: Tau's Advantage over Pi

Meryem Katircioglu
Zenodo (CERN European Organization for Nuclear Research)
Numerical Methods and Algorithms
preprint

Reachable-Code Loss in Fixed-Scale Full-Turn Quantization: Tau's Advantage over Pi

Meryem Katircioglu
preprint en

Abstract

This paper compares direct quantization of "τ = 2π" with doubling a quantized "π" in fixed-scale arithmetic, showing an exact reachable-code restriction and how a factor-of-two source-grid refinement removes it.

Zenodo (CERN European Organization for Nuclear Research)
Numerical Methods and Algorithms
DOIOpen Access PDFOpenAlex
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.

Reachable-Code Loss in Fixed-Scale Full-Turn Quantization: Tau's Advantage over Pi — Meryem Katircioglu · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS