Comment on the Double Slit Experiment
In classical physics, physical events take place in space-time. Space-time is the background on which physical phenomenon takes place. So we have a rigid geometrical reference and physical objects.
In quantum topology, the background shifts to the quantum space itself, and physical phenomenon are projections from the quantum space; both the space-time and the physical objects themselves.
In the classical experiment one consider the superposition of two states (or many) of the electron that interfere together and form the interference pattern on the screen, and then we ask which state was the electron actually in?
Or how come that electron virtually occupies the two (many) states simultaneously?
In quantum topology, we introduce boundaries into the quantum space, then the states which are component of the quantum space itself map the boundaries and form interference patterns which is the Topology itself, this Topological patterns are not detected in experiment. A free particle which (I do not know how to qualify it regriously) acts like a singular physical object in the space will follow the pattern and map the Topology.
This free electron is the one that is detected in the experiment.
The question of physics is whether the electron passed through one or both of the slits?
But the mathematical structure of the theory; as reflected in states themselves, describe the Topology itself! In quantum topology the electron is a singular physical object in a sense that it register a dot on the screen that is it excites atoms, but electron itself follow a Topological pattern that is invisible to the screen that is Topology itself does not excite the atoms.
The pattern we see is a discrete phenomenon while topology itself is continuous.