The traveling wave group that is defined on conserved physical values is the vehicle of transmission for a unidirectional photon or free particle having a wide wave front. As a stable wave packet, it expresses internal periodicity combined with group localization. An uncertainty principle is precisely derived that differs from Heisenberg’s. Also derived is the phase velocity beyond the horizon set by the speed of light. In this space occurs the reduction of the wave packet which is represented by comparing phase velocities in the direction of propagation with the transverse plane. The new description of the wave function for the stable free particle or antiparticle contains variables that were previously ignored. Deterministic physics must always appear probabilistic when hidden variables are bypassed. Secondary hidden variables always occur in measurement. The wave group turns out to be both uncertain and probabilistic. It is ubiquitous in physics and has many consequences.
Abstract Concept of wave packet is one of the most relevant topic of quantum mechanics but teaching it in an abstract way does not enhance the learning of students. On the other hand visualizations make such topics very easy in classroom learning. To capture the attention of students in classroom teaching, a unique way to simulate the wave packet associated with a localized particle is presented in this paper. This work describes an easy method to generate data for tracing a wave packet by organising an excel spreadsheet. This method is simple and aids the understanding wave packet modulation with variation in range of wave vectors of constituents matter waves. The obtained uncertainty product in position and momentum of the particle can be further utilized to verify Heisenberg’s uncertainty principle.