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Volume Definition of the Meridian Touching Wave Packet

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Zenodo2026-09-27 更新2026-10-01 收录
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This paper defines the volume of the Meridian Touching Wave Packet. The true volume is defined by the particle's true waveform functions: V_true = (∫₀ᵀ V_j dt) · (∫₀ᵀ D_j dt) · (∫₀ᵀ S_j dt) This is not computable: it requires the instantaneous velocity functions V_j(t), D_j(t), S_j(t), which are not available. The Meridian Touching Wave Packet is a periodic process, not a closed one — each period it advances along the meridian by a fixed displacement. Therefore V_true is not zero, but it remains incomputable without the waveform functions. In the absence of knowledge of the particle's true trajectory, the RMS volume V = Vu · Du · Su / f_w³ is proposed as the best definition of volume. This definition is consistent with the velocity sphere constraint, forced by the non-overlapping filling requirement, and computable from first principles. However, it must be clearly stated: V is a definition, not the particle's true volume. It measures the spatial extent of oscillation, not the actual occupied volume. This paper also defines the Touching Wave Packet Cross-Sectional Area A = Du · Su / f_w² as a fundamental geometric quantity. Keywords: Meridian Touching Wave Packet, volume, cross-sectional area, wavelength, RMS velocity, periodic process

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2026-09-27
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