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According to the mathematical framework of quantum mechanics, there is a concept called quantum tunneling that allows particles to pass through energy barriers that would be classically impossible to overcome. This phenomenon arises due to the probabilistic nature of quantum mechanics.

In the case you described, where an apple is one centimeter away from its initial position on a table, the probability of it spontaneously re-appearing one centimeter away would depend on various factors. These factors include the mass of the apple, the height of the energy barrier it needs to overcome, and the quantum mechanical properties of the apple itself.

While it is technically possible, according to quantum mechanics, for particles to tunnel through energy barriers, the probability of such an event occurring for macroscopic objects like an apple on a table is incredibly low. The reason is that the energy barriers involved in macroscopic objects are typically large compared to the energy scales at which quantum effects become significant.

In practical terms, the probability of an apple spontaneously teleporting one centimeter away on a macroscopic scale is effectively zero within the framework of quantum mechanics as applied to everyday objects. The laws of classical physics, which govern macroscopic objects in most situations, provide an accurate description of their behavior, and such macroscopic teleportation events are not observed in our everyday experience.

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