Opinion particles: Classical physics and opinion dynamics

• CODA model of Opinion Dynamics is extended to continuous time
• The concept of Opinion Particles is introduced and inertia is obtained.
• The relationship between opinion particle models and basic Physics is discussed.
• Harmonic oscillator dynamics is obtained for opinion particles.
• Possible equivalences to General Relativity are briefly discussed.

A model for Opinion Particles, based on Bayesian-inspired models of Opinion Dynamics such as the CODA model, is presented. By extending the discrete time characteristic of those models to continuous time, a theory for the movement of opinion particles is obtained, based only on inference ideas. This will allow inertia to be obtained as a consequence of an extended CODA model. For the general case, we will see that the likelihoods are associated with variables such as velocity and acceleration of the particles. Newtonian forces are easily defined and the relationship between a force and the equivalent likelihood provided. The case of the harmonic oscillator is solved as an example, to illustrate clearly the relationship between Opinion Particles and Mechanics. Finally, possible paths to apply these results to General Relativity are debated.