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Chapman & Hall/CRC eBooks

Spooky or Random?

George G. Szpiro

Published Dec 10, 2025• 0 citations
Publisher

Abstract

While one may argue about whether tosses of coins, throws of dice, rolls of roulette balls, twirlings of ping-pong balls are truly unbiased, unpredictable, uniformly distributed, most scientists agree – Albert Einstein’s reservations (“God does not play dice”) notwithstanding – that quantum phenomena are honest-to-goodness random.

DOI
10.1201/9781003641520-15

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Abstract Quantum mechanics, like other enormously successful physical theories, accurately describes how the natural world behaves. Its explanatory powers regarding the indeterminate behavior of the smallest constituents of nature have proven to be both profound and practical. Many technological devices from lasers to computer chips are based on quantum mechanics. Not surprisingly, the universe filled with microscopic random events revealed by quantum mechanics has generated wonder and interpretive bewilderment. Reactions to the unsettling revelations of quantum unpredictability have included appeals to unknown variables to preserve classical physics, and even wholesale theoretical dismissals. Far from proof of mathematical trickery or theoretical incompletion however, the now well-established and irreducible quantum randomness suggests a physical universe that is open to a future not determined by the past, and perhaps to a God that really does play dice.
‘God’, said Albert Einstein, ‘does not play dice’. This famous remark by the author of the theory of relativity was not intended as an analysis of the recreational habits of a supreme being but expressed his reaction to the new scientific ideas, developed in the first quarter of the twentieth century, which are now known as quantum physics. Before we can fully appreciate why one of the greatest scientists of modern times should have been led to make such a comment, we must first try to understand the context of scientific and philosophical thought that had become established by the end of the nineteenth century and what it was about the ‘new physics’ that presented such a radical challenge to this consensus. What is often thought of as the modern scientific age began in the sixteenth century, when Nicholas Copernicus proposed that the motion of the stars and planets should be described on the assumption that it is the sun, rather than the earth, which is the centre of the solar system. The opposition, not to say persecution, that this idea encountered from much of the establishment of that time is well known, but this was unable to prevent a revolution in thinking whose influence has continued to the present day. From that time on, the accepted test of scientific truth has increasingly been observation and experiment rather than religious or philosophical dogma.
Einstein wrote his famous sentence "God does not play dice with the universe" in a letter to Max Born in 1920. All experiments have confirmed that quantum mechanics is neither wrong nor “incomplete”. One can says that God does play dice with the universe. Let quantum mechanics be granted as the rules generalizing all results of playing some imaginary God’s dice. If that is the case, one can ask how God’s dice should look like. God’s dice turns out to be a qubit and thus having the shape of a unit ball. Any item in the universe as well the universe itself is both infinitely many rolls and a single roll of that dice for it has infinitely many “sides”. Thus both the smooth motion of classical physics and the discrete motion introduced in addition by quantum mechanics can be described uniformly correspondingly as an infinite series converges to some limit and as a quantum jump directly into that limit. The second, imaginary dimension of God’s dice corresponds to energy, i.e. to the velocity of information change between two probabilities in both series and jump.