Posts

Showing posts from October, 2019

Particle on a Ring and the Quantization of Angular Momentum

Image
In this blog, we are supporting the view that a localist and realist interpretation ("model") of quantum mechanics is indeed possible. This view has many benefits, as we have discussed in several previous posts . For instance, no need for such controversial concepts as wafunction collapse (no need for wavefunctions at all). The proposed model has been published here and here . The key feature of the model is motion on a discrete spatio-temporal lattice . In recent posts , we have presented the local-realistic rules that govern motion and interactions of particles in a three-dimensional spatial lattice. Moreover, we have disucssed how geometric constraints (such as motion on a line or surface) can be embodied while still keeping the universal structure of the lattice. In this post we want to discuss one particular application of constrained motion, that is, the scenario commonly known as "particle on a ring". In this scenario, a particle is confined on a set of ...

A code for 2D particle motion

Image
The local-realistic model for quantum mechanics that we are presenting in this blog is based on a set of rules for particles' motion and interactions in a discrete spatiotemporal lattice. In a previous post , we have introduced the 3D lattice and how the model rules (earlier described in a 1D space) are generalized to it. It is time to present a Matlab code that implements the multi-dimensional model as a program. We start from the fully trained expected-motion program , where both the lattice and the particles are " trained " and in addition we simulate the expected values of momentum and position, not their actual values (this in order to limit the computing times; for a "realistic" simulation see this code  instead). For the sake of clarity we limit the number of dimensions to two; adding the third is straightforward. The main addition to the code concern the inclusion of polarization (below noted as px, py), as we have seen in the corresponding post. %...