March 8, 2020
limited universe, particle movement, open ball, 4-dimensional model, the fifth dimension
An abstract world enclosed in an open n-dimensional ball is discussed. Inside the ball we define linear,
metric vector space based on the addition and multiplication operators defined in the paper. Properties of this
space are discussed and some simulations of a moving cloud of particles are described. The four-dimensional
space-time ball universe is defined. This ball is used to encapsulate the whole evolution of the 3-dimensional
world. Then, we extend the dimensionality of the ball, adding the 5th dimension, being a new, "hyper-time"
coordinate. It is suggested that this process can be continued, by treating the time as a multi-dimensional