Surface Area Definition of the Meridian Touching Wave Packet
收藏资源简介:
This paper defines the surface area of the Meridian Touching Wave Packet. The true surface area is defined by the particle's true waveform functions: S_true = S_true[V_j(t), D_j(t), S_j(t)] It is a functional of the instantaneous velocity functions. Its value depends on the full waveform, not merely on the three RMS values. Therefore it is not computable from the known parameters. In the absence of knowledge of the particle's true trajectory, the RMS surface area S = 2(Vu·Du + Vu·Su + Du·Su) / f_w² is proposed as the best definition. This definition is consistent with the velocity sphere constraint, computable from first principles, and the natural companion to the volume definition V = Vu·Du·Su / f_w³. However, it must be clearly stated: S is a definition, not the particle's true surface area. Keywords: Meridian Touching Wave Packet, surface area, cross-sectional area, volume, RMS velocity



