Unsolved Mysteries

Quantum theory is about the nature of matter.There are still some of the mysteries occurring around us that are unanswered. Scientists claim that quantum theory or quantum mechanics would be the answers to all these questions.
Some of the unsolved mysteries/ unanswered problems:
1.) Shakuntala devi: the prodigy calculator

Shakuntala gave the 23rd root of the number -91674867692003915809866092758538016248310668014430862240712651642793465704086709659 32792057674808067900227830163549248523803357453169351119035965775473400756818688305 620821016129132845564895780158806771 within just 21 seconds.!!

In Dallas she competed with a computer to see who give the cube root of 188138517 faster, she won.     On June 18, 1980 she demonstrated the multiplication of two 13-digit numbers 7,686,369,774,870 x 2,465,099,745,779 picked at random by the Computer Department of Imperial College, London. She answered the question in 28 seconds. Her correct answer was 18,947,668,177,995,426,462,773,730. This event is mentioned on page 26 of the 1995 Guinness Book of Records.

Shakuntala, who is still alive and who has been around the world, in almost all the universities, exhibiting her intuition. She is not a mathematician, she is not even much educated -- just a matriculate. Even when Albert Einstein was alive she was giving her demonstration in front of him. And her demonstration was strange. She would sit with a chalk in her hand before the board: you would ask any kind of question about mathematics or arithmetic, and you would not have even finished the question and she would have started writing the answer.

Albert Einstein gave her a certificate --in which Albert Einstein says, "I asked this woman a question which I take three hours to solve because I have to follow a whole method; I cannot just jump from the question to the answer. I know that nobody can do it in less time than I can, and that is three hours. Others may take even six hours hours or more, but I can do it in three hours because I have done it before. But the whole procedure has to be followed. If you miss even a single step...." The figures were so big that it took the whole board for her to write the answer. And before he had even finished the question, she started writing the answer.!!

She said that 'when she saw those questions the answers appeared before her eyes just by instinct.

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Now the unanswered(till date) question is how she is able to do it ? how such kinds of instincts actually appear? 

2.)About misbehaved electrons, or: the probability cloud model.

The nature of electrons seems odd. Seemingly they exist in different places at different points in time, but it is impossible to say where the electron will be at a given time. At time t1 it is at point A, then at time t2 it is at point B, yet without moving from A to B. It seems to appear in different places without describing a trajectory. Therefore, even if t1 and A can be pinpointed, it is impossible to derive t2 and B from this