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Science & philosophy

Between quantum indeterminacy and biological mutation: stability and uncertainty in a probabilistic living world

Dhia Bouktila

Published Jun 30, 2026• 0 citations
Publisher

Abstract

The classical deterministic worldview that dominated science from the seventeenth to the nineteenth century has been profoundly challenged by developments in modern physics and biology. Quantum mechanics has revealed that indeterminacy and probability are not merely epistemic limitations, but intrinsic features of physical reality. At the same time, evolutionary biology has shown that random genetic variation, filtered by natural selection, is the fundamental driver of biological diversity and adaptation. This article explores the conceptual parallel between quantum indeterminacy and evolutionary randomness, not as a reduction of biology to physics, but as an epistemological reflection on how stability and order emerge from probabilistic processes across different levels of organization. By examining emergence, contingency, historical irreversibility, and the limits of prediction, the paper argues that determinism is best understood as a scale-dependent approximation rather than a foundational ontological principle. The absence of finality in nature does not imply chaos or nihilism, but invites a renewed philosophical understanding of explanation, responsibility, and scientific humility in a probabilistic universe.

DOI
10.23756/sp.v14i1.1741

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The classical deterministic worldview that dominated science from the seventeenth to the nineteenth century has been profoundly challenged by developments in modern physics and biology. Quantum mechanics has revealed that indeterminacy and probability are not merely epistemic limitations, but intrinsic features of physical reality. At the same time, evolutionary biology has shown that random genetic variation, filtered by natural selection, is the fundamental driver of biological diversity and adaptation. This article explores the conceptual parallel between quantum indeterminacy and evolutionary randomness, not as a reduction of biology to physics, but as an epistemological reflection on how stability and order emerge from probabilistic processes across different levels of organization. By examining emergence, contingency, historical irreversibility, and the limits of prediction, the paper argues that determinism is best understood as a scale-dependent approximation rather than a foundational ontological principle. The absence of finality in nature does not imply chaos or nihilism, but invites a renewed philosophical understanding of explanation, responsibility, and scientific humility in a probabilistic universe.
The debate between determinism and indeterminism has shaped physics and philosophy for centuries. Laplace’s demon represented the deterministic ideal; Heisenberg’s uncertainty principle challenged it with irreducible unpredictability. This paper proposes a third position that dissolves the false dichotomy: the range of possible outcomes is determined by pre-existing geometric constraints, but the specific manifestation within that range is ontologically unpredictable. This distinction emerges naturally from the Gradient Indeterminacy framework, where stable quantum states require double saturation of conjugate gradients, forcing coherent oscillation between discrete configurations (e.g., 12 ↔ 13 charge events per cycle). We extend this principle beyond quantum physics via the Underlying Properties Hypothesis (UPH), showing how the same pattern manifests in biological mutation and neural variability. A case study documents an instance where a cybernetic intelligence generated images with text in an unexpected language—not as a bug, but as empirical signature of indeterminacy operating at the informational level. The framework invites a ontological shift: unpredictability is not epistemic limitation but condition of existence across scales.
Background. The author tries to identify the connection between the phenomena of quantum physics and the philosophical concepts of "fate", "free will" and "time". By examining how the probabilistic nature of quantum mechanics challenges classical deterministic views, and bridging the gap between modern physics and age-old philosophical debates, the author seeks to offer a nuanced understanding of these fundamental concepts Methods. The investigation employs a multidisciplinary approach, incorporating scientific theories and discoveries alongside religious and philosophical perspectives. Various viewpoints and schools of thought are considered, spanning both Western scientific frameworks and Eastern philosophical traditions, to provide a comprehensive analysis of the topic. Results. The positions of total determinism and indeterminism are compared, highlighting their respective strengths and limitations. It delves into the parallels between Buddhist philosophy and contemporary quantum theory, suggesting that both share common ground in their understanding of reality. Additionally, the concept of creationism is examined within the context of quantum mechanics. Conclusions. The exploration reveals that the concepts of fate and free will, and their relationship with time, are deeply intertwined with the existence of a hidden quantum reality. This hidden reality, characterized by the inherent uncertainties and probabilistic nature of quantum mechanics, challenges the deterministic worldview upheld by classical physics. The investigation highlights that the interconnectedness of fate and free will with our understanding of time is profoundly influenced by the quantum realm, which introduces complexities such as the "measurement problem." As a result, the deterministic predictability of classical physics is replaced by a framework where probabilities and potentialities govern the behavior of particles. The study concludes that acknowledging the existence of this hidden quantum reality necessitates a re-evaluation of traditional notions of fate, free will, and time, suggesting that these concepts are more fluid and interconnected than previously thought. By bridging the gap between quantum theory and philosophical inquiry, the exploration offers new insights into the nature of reality and human agency, ultimately contributing to a more nuanced understanding of the universe and our place within it.
The Heisenberg uncertainty principle constitutes one of the foundational pillars of quantum mechanics and represents a definitive rupture with the deterministic ideal of classical physics. This work develops a comprehensive analysis of the uncertainty principle from a mathematical, physical, and philosophical perspective, demonstrating that it should not be interpreted as an instrumental or epistemological limitation, but rather as an ontological property inherent to the formalstructure of quantum theory.Within the framework of Hilbert spaces, self-adjoint operators, and non-commutative algebras, it is shown that uncertainty emerges necessarily as a consequence of the structural incompatibility between conjugate observables. The study articulates the uncertainty principle with classical chaos theory and the sciences of complexity, establishing a fundamental distinction between epistemological unpredictability and ontological indeterminacy. While classical chaos preserves well-defined trajectories that are practically inaccessible, quantum mechanics eliminates the very notion of trajectory as a fundamental entity.This rupture manifests itself in the granularity of phase space, the impossibility of defining exact initial conditions, and the consequent reformulation of determinism. Contemporary experimental developments designed to exclude instrumental disturbances are analyzed, reinforcing the ontological interpretation of the uncertainty principle.Finally, the implications for simulation, predictability, and quantumOverall, this work argues that the uncertainty principle does not undermine scientific rationality, but rather redefines itsscope and deepens our understanding of physical reality. Keywords: uncertainty principle; quantum mechanics; mathematical structure; non-commutative operators; chaos theory; complexity; determinism; physical ontology.
This essay proposes fundamental ontological clarification within contemporary debates on quantum physics: the rigorous distinction between probability as a regime of prediction and the real as material dynamics. Against the widespread view according to which quantum indeterminacy would imply a vague, unstable, or “merely statistical” reality, the text argues that probability belongs to the epistemic plane of knowledge and anticipation, not to the ontological plane of what exists. Quantum physics does not describe an ontologically fluctuating world, but a world whose symbolic access is structurally limited. On this basis, the essay examines the role of Born’s statistical interpretation, decoherence theory, Bell’s theorems, and the Pusey–Barrett–Rudolph result, showing how these impose formal costs on any ontology that conflates formalism and reality. In critical dialogue with QBist, relational, and agential-realist approaches, the text develops a conception of concretion grounded in the notion of mark: the concrete emerges when a material interaction is irreversibly inscribed in a physical support. Stability, far from meaning fixity, is understood as emergent robustness—movement in regime—sufficient to sustain practices, techniques, and historical continuity. The essay concludes by arguing that quantum physics, rather than dissolving the real, demands a more exacting ontology capable of distinguishing precisely between the real, the concrete, and theory.
This paper introduces a new philosophical and scientific framework called Quantum Ontology, which integrates quantum mechanics and metaphysics to explore the possibility of a probabilistic God. Moving beyond deterministic paradigms, it investigates how quantum indeterminacy, probability amplitudes, and the collapse of wave functions challenge classical understandings of causality, order, and divine omniscience. The central thesis posits that if the foundation of physical reality is probabilistic, then any concept of divinity that aligns with it must also reflect this probabilistic nature. The work synthesizes insights from physics, philosophy, theology, and cosmology to construct an original view of a God who is not the controller of certainties but the ground of all lawful possibilities.The author acknowledges the use of OpenAI’s language model for assistance in drafting certain sections of this work.
Classical science and in fact Post-Newtonian science up till the early twentieth century were mired in a deterministic interpretation of realities. The deterministic hypothesis in science holds that everything in nature has a cause and if one could know the antecedent causes, he could predict the future with certainty. But quantum mechanics holds that sub-atomic particles, though the ultimate materials from which all the complexity of existence in the universe emerges, do not obey deterministic laws, hence, their activities are causally indeterminate and could only be understood with probability. This paper argues that quantum mechanics can not totally be free from determinism, for it has subtly conceded to determinism in holding that the sub-atomic particles are the building blocks of the macro world, and that there is interconnection between entities in the universe, even at the nonmanifest level. The probabilistic interpretation of quantum mechanics only betray our human limitation of the knowledge of nature, which, I believe still have lots of tricks in our sleeves over mankind. Sophia: An African Journal of Philosophy Vol. 8(1) 2005:72-79 Keywords: Keywords: