## 27.01.2023 14:15

# Masterkolloquium: Models of mutual attraction of spatially confined oscillations

## Dong Zhang

Abstract

Based on the assumption that particles are spatially confined oscillations (SCO),

dynamics of such objects can be developed. Under the assumption that the equation of

motion of the SCO is related to the refractive index of the ambient medium, one can

attempt to derive the interaction between SCOs and show that there is an attractive

acceleration between SCOs. In this thesis, the above conjecture will be tested.

Specifically, to enable an interaction between two or more SCOs, we construct a model

of the SCO where we assume that the SCO itself will change the local ambient refractive

index, so that other nearby SCOs will be subjected to a non-zero refractive index gradient

and produce a change in velocity in response. It is shown that such an SCO will attract

other SCOs if small deviations of the propagation speed of the medium are allowed. We

shall demonstrate that, if the high frequency modes dominate in the SCO spectral

density, the attractive acceleration will fall at large distances as 1/r³ (here r is the

distance between two SCOs). However, it is possible to construct a model which exhibits

Newtonian behaviors 1/r². In this model, low-frequency modes provide a dominant

contribution at large distances.

In addition, in order to test the above hypothesis, solitons are used as a toy SCO model,

to find, whether the method considered here reproduces the known result.

Room: Meeting Room, HISKP, 2nd floor

Time: Friday, 27/01/2023, 14:15 pm