From fuzzification and intervalization to anglification: a new 5D geometric formalism for physics and data processing

We show that in understanding foundations of modern physics, with its 10-dimensional (and higher-dimensional) space-time models, it is very helpful to use the main ideas behind fuzzification - extension of arithmetic operations and elementary functions from exact numbers to fuzzy numbers. The resulting formalism is, from the mathematical viewpoint, somewhat more complex than the traditional fuzzy arithmetic, but it is still much simpler than the quantum field theory - and thus, it helps to make several important ideas from foundations of modern physics much more intuitively clear.