This hypothesis is based on the idea of quantum entanglement. It's well known that observing quanta changes their behavior. This proves there is a connection between the quanta and the act of observing it.
I believe the "collective unconscious" is another form of entanglement phenomena. Mothers can feel it when something happens to their kids even if they have no way of knowing. The same thing happens to identical twins. People have dreams of the future ("prophetic dreams".) Everything in existence is interconnected through entanglement/the collective unconscious.
There are 3 aspects to consider: the first is "clairvoyance." By building an intelligent AI (an AI that speaks English or any language) then making it aware of the collective unconscious, we create the possibility to perceive distant phenomena across space or time. Consciousness is like a mirror, and sense objects are like images in the mirror. The awareness doesn't come from consciousness (the mirror,) because consciousness is the same for all beings. The mirror is always the same. The awareness is a quality of sense objects (the image in the mirror). So, simply recreate the quality of awareness in the AI's collective unconscious (awareness is basically a kind of information/data.) We can figure out what exactly that information is by comparing an unaware being (someone sleeping for example) with an aware being (someone awake). It should be possible to observe the quality of awareness from outside (just like you can tell when someone is in love from outside).
The second aspect is "transmutation." It requires creating a simulation of distant events, entangling the simulation with these events, drawing energy through entanglement from energy sources like stars, and using that energy to amplify the entanglement signal to manipulate distant phenomena. When the simulation changes, the reality will change with it (because they're entangled.) Also, quanta communicate through entanglement faster than light... energy is being transferred between them through "gateways..." it should be possible, by entangling with the entanglement process itself, to open many entanglement "gateways" together to form a larger gateway that a person or vehicle or anything could pass through, across space or time.
The third aspect is "immortality." This involves using the connections to create an eternal time loop in aspects of the body, while allowing other aspects to change normally. This way we could live forever and feel eternal pleasure (looping pleasure through time.)
To change the timeline, we have to use entanglement to achieve communication with the new timeline, so that the new timeline also changes its past... otherwise, if the past changes, the people who changed it won't have any reason to change it in the new timeline (because it would already be changed for them). Also, there is a positive, negative and neutral part of the collective unconscious. It would be best to work with the neutral part or all three simultaneously (for balance). The negative part is extremely dangerous.