Considered by Einstein as “the fundamental dice-game”, the quantum-mechanical description of quantum objects in the real world is controversial. According to Einstein’s understanding of the physical world, the quantum-mechanical description is incomplete, but rendering quantum mechanics complete might be possible. Derived by resorting to a hidden-variable theory, Bell inequalities attempted to render quantum mechanics complete somehow. Unfortunately, the attempts all failed. More unfortunately, the failure and the widely accepted but erroneous interpretation of the failure resulted in giving up either or both of locality and realism, the two fundamental hypotheses for scientific research, and hence opened the door to so-called quantum information technologies. Consequently, quantum information technologies all stem from “the fundamental dice-game”. Based on an important mathematical fact irrelevant to any issue about measurement instruments or accuracies of measurement outcomes, namely, precise space and time coordinates are practically unattainable by measurements, which reflects a general principle regarding the nature of measurements (henceforth principle of measurements), this paper reports the following findings: (a) Einstein’s understanding of the physical world is correct. (b) Without resorting to any hidden-variable theory, rendering quantum mechanics complete is possible while keeping the mathematical setting for quantum mechanics (i.e., Hilbert space) essentially unchanged; therefore, eligible applications of quantum mechanics, which are all irrelevant to “the fundamental dice-game”, will also remain unchanged. (c) As fictitious results in “the fundamental dice-game” based on the problematic postulate of quantum superposition in current quantum theory, quantum information technologies are all physically unrealizable. A very regrettable conclusion then follows inevitably from the above findings: An extremely huge amount of time, effort, funding, and investment in realizing physically unrealizable quantum information technologies has been wasted because of “the fundamental dice-game”, which has seriously damaged science!
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Guang-Liang Li (2024) studied this question.
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