Wavefunction; Guided Energy of Wave

This paper expound on true nature of wavefunction and answered questions that arise from quantum foundation. The fundamental analysis presented in this work show that mathematical formalism of wavefunction was wrongly formulated. On this basis, we therefore mathematically formalized new wavefunction equation which applicable to any forms of particles. We further introduced diffraction concept which mathematically establishes space-time quantization. We further show that wavefunction does not collapse, only converges and diverges gradually. The gradual process of divergence of wavefunction display how particle-like behavior return to wave-like behavior, and the gradual process of convergence of wavefunction also display how wave-like behavior return to particle-like behavior. The fundamental equations and analysis presented in this work hereby provides single description for both wave properties of smallest tiny particles (e.g. electrons) and matter properties of large particles (celestial bodies). The fundamental analysis presented here confirms that quantum mechanics needs to be profoundly modified to absorbs ideas of fundamentals analysis presented in this paper so that it might become a unique theory that accounts for dynamics behaviors of all particles regardless of sizes.