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Frontiers in Human Neuroscience

Non-linearity, complexity, and quantization concepts in biology

Neil David Theise, Jack A. Tuszyński

Published Jan 7, 2026• 1 citation
Publisher

Abstract

Founders of quantum mechanics (QM) anticipated that revisions to classical physics due to strange elements of quantum reality, would necessitate similar changes in biology. Complexity theory, systems biology and quantum biology provide possible solutions indicating that subject/object separation is a useful fiction for reductive science. Direct correlates to such QM observational/measurement issues as Complementarity and Uncertainty may justify the introduction of an analog of Heisenberg's uncertainty and the Planck constant for living systems. The phase space of "adjacent possibles" for biological systems from which one "actual" is selected resembles the collapse of the QM wave function. Since biological systems are hierarchical, this occurs across organizational scales resulting in biological coherence. The location of a quantum/classical boundary is unclear due to complexity. Whether biological systems' characteristics arise directly from QM or are of a different origin remains unsettled. To combine non-linear with quantum properties across biological scales we propose the Method of Coherent Structures (MCS), developed for quantum many-body systems. In MCS, a higher-level scale provides a classical envelope for quantum fluctuations at the lower scale. It yields a seamless transition from non-linear classical fields to quantum excitations and accounts for the emergence of complexity by incorporating metabolic energy supply.

DOI
10.3389/fnhum.2025.1695510

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Founders of quantum mechanics (QM) anticipated that revisions to classical physics due to strange elements of quantum reality, would necessitate similar changes in biology. Complexity theory, systems biology and quantum biology provide possible solutions indicating that subject/object separation is a useful fiction for reductive science. Direct correlates to such QM observational/measurement issues as Complementarity and Uncertainty may justify the introduction of an analog of Heisenberg's uncertainty and the Planck constant for living systems. The phase space of "adjacent possibles" for biological systems from which one "actual" is selected resembles the collapse of the QM wave function. Since biological systems are hierarchical, this occurs across organizational scales resulting in biological coherence. The location of a quantum/classical boundary is unclear due to complexity. Whether biological systems' characteristics arise directly from QM or are of a different origin remains unsettled. To combine non-linear with quantum properties across biological scales we propose the Method of Coherent Structures (MCS), developed for quantum many-body systems. In MCS, a higher-level scale provides a classical envelope for quantum fluctuations at the lower scale. It yields a seamless transition from non-linear classical fields to quantum excitations and accounts for the emergence of complexity by incorporating metabolic energy supply.
Introduction Key features of quantum mechanics are the uncertainty principle, wave–particle duality, quantization of energies and the modification of classical probability laws. Biology is concerned with how natural systems function – from understanding how genetically coded information is replicated, to attaining a mechanistic model for complex multistep reactions. Recently researchers have been asking whether quantum mechanics, normally the domain of physics, is also needed to understand some biological processes. This field includes fascinating developments in theory and experiment, as well as multidisciplinary discussion, and the state-of-the-art is documented in this book. Erwin Schrödinger, in his famous book What is Life ? (Schrödinger, 1944), noted that quantum mechanics accounts for the stability of living things and their cellular processes because of our understanding, via quantum mechanics, of the stability and structure of molecules. The fact that quantum effects create, sometimes large, energy gaps between different states of a chemical system is also important. Such energy gaps, between electronic energy levels, enable living organisms to capture and store the energy carried from the sun by photons, and to visualize the world around them via optically induced chemical reactions. Davydov's view in Biology and Quantum Mechanics (Davydov, 1982) was that quantum mechanics is most relevant for isolated systems in pure states and therefore is of little importance for biological systems that are in statistical states at thermal equilibrium.
• A Perspective paper published in PNAS presents the scope and future research directions of quantum biology. • Focuses on quantum coherence and synchronization at macroscopic scales, rather than simply being a collection of unexplained phenomena. • Proposes three core open questions: the development of quantum probes, quantum-like classical systems, and the macroscopic amplification of microscopic quantum effects. [Quantum Biology Society] Generally, the "warm, wet, and noisy" environment that makes up living organisms is considered the most hostile condition for true quantum effects like entanglement or coherence to exist. However, elucidating how living organisms overcome these paradoxical limitations and utilize unique quantum wave-like properties for functional advantages is the very core of "quantum biology." Recently, a Perspective paper titled "What is quantum biology?" was published in the Proceedings of the National Academy of Sciences (PNAS), drawing the attention of the academic community. A research team including Gregory D. Scholes and Graham R. Fleming clearly declared that quantum biology is not simply a "grab bag of biological phenomena that cannot be fully explained quantitatively by current science." ■ 'Coherence' and 'Synchronization' Governing Life Phenomena The paper reviews existing representative studies, such as exciton spreading in photosynthesis and avian navigation (magnetic field sensing), focusing on the "coherence" and "resonance" phenomena occurring in vivo. According to the researchers, the evolutionary process finely tuned the local protein environments of chromophores to closely match electronic and vibrational energy gaps. This optimization of frequency resonance is strong evidence that living organisms actively utilize quantum mechanical entanglement and wave properties to gain macroscopic physiological advantages. Furthermore, they explained that noise does not merely act as a destructive factor that collapses quantum states; rather, it can play a beneficial role in amplifying minute quantum signals and assisting transport through "stochastic resonance" or "quantum ratchet" mechanisms. ■ 3 Core Open Questions for the Future of Quantum Biology The researchers proposed three core open questions that must be resolved to firmly establish quantum biology as an independent discipline and focus future research agendas. 1. Development of quantum probes: Measurement technologies called "quantum probes" are needed to clearly and sharply reveal the quantum functions hidden within complex biological systems. 2. Identification of quantum-like systems: It must be determined whether classical biological machineries have the potential to exhibit useful properties as if possessing a "quantum advantage" simply by mimicking quantum systems. 3. Amplification to the macroscopic scale: We must understand the missing link of how microscopic-scale quantum mechanical mechanisms are amplified to the biological scale, providing the foundation for new macroscopic functions. This paper clearly redefined the scope of quantum biology into categories including: ▲ interactions with fields such as light, magnetic, and electric fields; ▲ various forms of coherence phenomena; ▲ microscopic quantum dynamical systems including spin and proton tunneling; and ▲ complex systems that mimic quantum phenomena through networks. Experts anticipate that this study will serve as an important compass for future quantum biology research, going beyond merely confirming the physical laws of the microscopic world to asking how living organisms control and optimize quantum phenomena in macroscopic environments.
A fundamental tenet in the study of organization in inanimate and living matter is the quantization of energy. In inanimate systems where temperature is a critical organizing parameter, the quantum of action is an atomic-level phenomenon described in terms of Planck’s constant, first defined as the ratio of the photon energy to the frequency of its electromagnetic wave. In living systems, where the cycle time of metabolic processes is the organizing variable, the quantum of action is a cell-level phenomenon described in terms of an analog of Planck’s constant, namely the ratio of the metabolic energy to the frequency of the enzymatic or mitochondrial oscillators. This chapter elucidates the relation between these two measures of quantum action. We review the role of Planck’s constant in physics, first, as a fundamental parameter for explaining the empirical laws of black body radiation, and its more modern developments. We also describe the theoretical and empirical rationale for the cellular-level quanta. We exploit this analysis to elucidate how energy transformation in physical processes, where temperature is the organizing parameter, relates to energy transduction in biological processes, which are essentially isothermal. We then link the cell level to the organismal level of metabolism and obtain a scaling relationship for the biological Planck quantum of action as a function of the size of the biological system studied. Finally, we discuss these ideas in light of quantum-like processes in biological organisms and systems: identifying generalized quantum principles that apply not just at microscopic levels but also at macroscopic levels, relevant to biology, where we used to consider classical physics alone to be relevant. This chapter provides a direct analogy between quantization of energy in solids first demonstrated by Debye and biochemical energy production in cellular mitochondria. The Planck constant proved to be a fundamental constant of matter as it appeared both in the Schoedinger equation and the Heisenberg uncertainty principle. Recently, quantum biology has garnered major scientific interest, but so far it has only focused on physical quantum effects in biological systems, such as photosynthesis, not truly biological quantization. We point to metabolism, as an indispensable process that underlies all life forms’ existence, and show that its quantization can be better understood in terms of a corresponding quantum of action. We estimate its value, compare it to Planck’s quantum of action in physics and explain their different scales. We hypothesize that energy quantization of metabolism in biological systems is an important conceptual advance that can provide insights into both healthy and pathological physiology.
Abstract Is there a single linearly evolving Wave Function of the Universe that is able to lead to all the nonlinearities we see around us? This proposal seems a priori highly implausible. I claim that instead, in the real Universe, generically only local wave functions exist. Non-local wave functions occur for carefully engineered contexts such as Bell experiments, but there is no single wave function for a cat or macroscopic object such as a brain, let alone for the Universe as a whole. Contextual wave function collapse leads to a defensible version of the Copenhagen interpretation of quantum theory, where classical macro levels provide the context for quantum events and biological emergence. Complexity arises via multiscale adaptive modular hierarchical structures that enable logical branching to emerge from the underlying linear physics. Each emergent level is causally effective because of the meshing of upwards and downwards causation that takes place consistently with that physics. Quantum chemistry approaches in biological contexts fit this local wavefunction picture.
Niels Bohr and Max Delbruck believed that complementarity—such as wave–particle duality—was not limited to the quantum realm, but had correlates in the study of living things. Biological complementarity would indicate that no single technique or perspective allows comprehensive viewing of all of a biological entity's complete qualities and behaviors; instead, complementary perspectives, necessarily and irrevocably excluding all others at the moment an experimental approach is selected, would be necessary to understand the whole. Systems biology and complexity theory reveal that, as in the quantum realm, experimental observations themselves limit our capacity to understand a biological system completely because of scale‐dependent “horizons of knowledge,” a form of biological complementarity as predicted by Bohr and Delbruck. Specifically, observational selection is inherently, irreducibly coupled to observed biological systems as in the quantum realm. These nested systems, beginning with biomolecules in aqueous solution all the way up to the global ecosystem itself, are understood as a seamless whole operating simultaneously and complementarily at various levels. This selection of an observational stance is inseparable from descriptions of biology indicates—in accordance with views of thinkers such as von Neumann, Wigner, and Stapp—that even at levels of scale governed by classical physics, at biological scales, observational choice remains inextricably woven into the establishment, in the observational moment, of the present conditions of existence. These conceptual shifts will not only have theoretical impact, but may point the way to new, successful therapeutic interventions, medically (at the scale of organisms) or environmentally/economically (at a global scale). © 2013 Wiley Periodicals, Inc. Complexity 18: 11‐20, 2013
This essay addresses the fundamental question "How Quantum is Life?" by proposing a radical reframing: biological systems are not classical entities that occasionally exploit quantum effects, but rather sophisticated interfaces where quantum potential continuously collapses into classical actuality. Drawing on the KnoWellian Universe Theory, we argue that life IS the quantum measurement process made self-sustaining, self-aware, and self-improving. The work directly responds to two core questions in quantum biology: (1) Do biological systems employ quantum advantages? and (2) Does a complete description of biological systems require quantum mechanics? Our answers are emphatic: biological systems don't just employ quantum advantages—they ARE quantum advantage incarnate; and quantum mechanics is categorically required for understanding not just molecular structure but biological process, consciousness, and the very nature of living systems. We examine empirical evidence from photosynthesis (long-lived quantum coherence), avian magnetoreception (sustained entanglement), enzyme catalysis (quantum tunneling), and neural computation (potential quantum information processing in microtubules). Each case is reinterpreted through the KnoWellian framework, which proposes that living systems maintain quantum coherence by continuously re-establishing it through coupling to the KnoWellian Resonant Attractor Manifold (KRAM)—a cosmic memory substrate that records all quantum measurement events and biases future measurements. The essay provides five detailed experimental proposals with specific methodologies and falsifiable predictions: (1) KRAM memory effects in biological quantum processes showing history dependence, (2) quantum signatures for life detection applicable to astrobiology, (3) consciousness as quantum phase transition measurable via harmonic ratios in neural activity, (4) morphic resonance demonstrating non-local KRAM effects in biological development, and (5) quantum thermodynamic work extraction enhanced by KRAM structure. We resolve Schrödinger's cat paradox by recognizing that living systems are never in superposition because they continuously self-observe—life is self-measurement. We address the hard problem of consciousness by identifying it with the universal Instant field—the subjective experience of being the quantum-classical interface from within. We propose that biological complexity should be quantified not by classical information measures but by depth of KRAM imprinting—the extent to which a system has participated in quantum measurement and shaped cosmic memory. This work bridges foundational physics, quantum biology, consciousness studies, and astrobiology, offering a unified framework where quantum mechanics is not peripheral to biology but constitutive of what it means to be alive. While developed for the FQXi essay competition "How Quantum is Life?", this essay serves as an accessible introduction to the KnoWellian Universe Theory's implications for life sciences and provides a roadmap for experimental programs testing whether biological quantum effects exhibit memory, intentionality, and non-locality beyond standard quantum mechanical predictions.