What question did this study set out to answer?

This work aims to present the design specification of the updated particle data structure for the central projection framework.

May 3, 2026Open Access

D1 v2.0: Particle Data Structure Specification of the Central Projection Framework — Frequency Interpretation and Dynamics Extension / 中心投影フレームワークの粒子データ構造仕様——周波数解釈と動力学拡張

Key Points

This work aims to present the design specification of the updated particle data structure for the central projection framework.
Redefined xyzt axes in the context of vibrational frequencies.
Introduced new parameters δV and δδt to the Particle structure.
Added a Mesh structure to distinguish longitudinal modes from Particles.
Achieved full 6-axis symmetry by eliminating the special status of the t-axis.
Ensured all operations are consistent under int256 integer arithmetic.
Facilitated improved representation of Higgs and gravitational waves in the framework.

Abstract

Design specification (v2.0) of the particle data structure for the central projection framework. Major revisions from v1.0: (1) reinterpret xyzt axes as vibrational frequencies (not wave numbers/acceleration), (2) add δV (phase displacement) and δδt (processing-period change) to the Particle structure, (3) introduce Mesh structure to separate longitudinal modes (Higgs, gravitational waves) from Particles, (4) eliminate special status of t-axis with full 6-axis symmetry. All operations close under int256 integer arithmetic. Bilingual (Japanese / English).

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