No, the new double-slit time experiment does not prove that a machine can be made to send telecommunication signals to a period before the signal was generated. It is important to be cautious when making claims about the implications of scientific experiments.
The double-slit time experiment you may be referring to could be a reference to a hypothetical scenario where particles are sent through a double-slit apparatus, and the information about which slit the particles pass through is obtained after the particles have already reached their destination.
While this experiment can be conceptually intriguing, it is important to note that it is purely hypothetical at this point. There is no experimental evidence or scientific consensus that such a scenario is possible or that it would enable communication with the past.
The concept of sending information or signals to the past, often referred to as retrocausality, is a topic of ongoing debate and speculation within the realm of quantum mechanics and theoretical physics. However, currently, there is no experimental confirmation of retrocausality or a practical method for achieving communication with the past.
It is crucial to distinguish between hypothetical thought experiments or theoretical speculations and actual empirical evidence. As of now, there is no scientific support for the claim that the new double-slit time experiment proves the ability to send telecommunication signals to the past.