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Aminu Kano Academic Scholars Association Multidisciplinary Journal

Bridging Two Worlds: The Paradigm Shift from Classical Mechanics to Quantum Theory

Abubakar Sani Garba, Habibu Ahmad Ibrahim, Abdurrashid Abusafiyan

Published Apr 12, 2026• 0 citations
Publisher
DOI
10.64726/gjnakk25

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For three centuries Newtonian mechanics had been firmly established as a valid theory for the understanding of physical reality; if one understands the laws of physics, then one understands the whole universe. Classical physicists had contented themselves with the search for regularities in measurements and in the physical world. Irregularities were regarded as noises that interfered with the deterministic picture of physical reality. However, from 1900s onwards with the quantum hypothesis, physicists had begun to recognize that the physics of Newton and Maxwell were inadequate for the understanding of all of the physical reality. For example, the interaction of radiation with matter could not be explained from classical physics. This dilemma led to the discovery of quantum mechanics. In this article we explore the challenges that students face in understanding quantum mechanics that arises from paradigm shift in the mode of reasoning about the physical world. The description of physical reality in general and quantum reality in particular requires that we shift our mode of reasoning from classical Boolean logic to quantum non Boolean logic.
The pivotal shift in Physics initiated by Erwin Heisenberg's seminal work in 1925 marked a significant departure from classical paradigms towards what is now known as modern quantum physics. Heisenberg's groundbreaking paper, "On the quantum-theoretical reinterpretation of kinematical and mechanical relationships," commonly referred to as "Die Umdeutung," heralded a radical transformation in the foundation of physics. By replacing the traditional religious notion of "Causality" with an atheistic concept of "Probability," Heisenberg's work revolutionized the field. The removal of "Causality" challenged the religious underpinning of physics, leading to a reevaluation of fundamental principles. This shift, epitomized by the Heisenberg Uncertainty Principle, transformed the deterministic worldview into a probabilistic one, sparking debates on the nature of existence and human agency.The ramifications of this paradigm shift extended beyond theoretical discourse. The ethical implications of scientific advancements, exemplified by the development of the atomic bomb during World War II, underscored the complex interplay between physics, morality, and political ideologies. The juxtaposition of Heisenberg's involvement in Nazi Germany's atomic research and Oppenheimer's leadership in the Manhattan Project highlighted the ethical dilemmas faced by scientists in wartime.Moreover, the integration of Heisenberg's Uncertainty Principle with Newton's Causality Principle rekindles discussions on the interconnectedness of Physics, Philosophy, and Theology. The quest for a unified framework underscores the importance of reconciling divergent perspectives to forge a coherent understanding of the universe. This synthesis seeks to bridge the gap between classical paradigms and modern quantum theory, offering new insights into the intertwined fabric of physical laws and metaphysical beliefs.
Feynman insisted 'no one understands quantum theory'. Yet, experimentalists tell us quantum theory is the most successful theory in history. Quantum theory cannot be understood as a classical mechanical theory since it arose through the 'interpolation' of two highly successful but complementary classical mechanics: Newtonian particle mechanics and Maxwellian wave mechanics. The two-slit experiment illustrates that what is experienced depends on choice of experimental set-up. Quantum theory is properly understood within the more general framework of engineering thermodynamics. In Part One, I point to four essential characteristics of quantum theory that cannot be understood in any framework defined by the classical mechanical presuppositions of symmetry and conservation. These four characteristics are the participatory, the complementary, the indeterminate and the new non-commutative geometry. In Part Two, articulating engineering thermodynamics, I note there are two histories and two formulations of thermodynamics: Carnot's engineering thermodynamics and the 'rational mechanical' tradition of Clausius-Boltzmann. These four essential characteristics of quantum theory are also characteristics of engineering thermodynamics. In Part Three, I trace the precursors of Lazare Carnot's engineering thermodynamics to earlier insights of Huygens, d'Alembert, Leibniz and the Bernoullis. Leibniz brought these forth in his meta-paradigm shift from Statics to Dynamics. This article is part of the theme issue 'Thermodynamics 2.0: Bridging the natural and social sciences (Part 2)'.