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Quantum Tunnelling and the Architecture of the Cosmos

Umair Abbas

Published Apr 14, 2026• 0 citations

Abstract

Quantum tunnelling represents one of the most fundamental conse-quences of quantum mechanics. The phenomenon allows particles to pen-etrate potential barriers even when their kinetic energy is insufficient ac-cording to classical mechanics. Although initially discovered while study-ing nuclear decay, tunnelling has since emerged as a unifying mechanism across multiple areas of physics. In astrophysics, tunnelling enables nu-clear fusion inside stellar cores by allowing positively charged nuclei to penetrate the electrostatic Coulomb barrier. This process provides the primary energy source for stars and enables the cosmic synthesis of heavy elements necessary for planetary systems and biological life. The proba-bility of such reactions is governed by the Gamow factor and the resulting Gamow peak in stellar energy distributions. Beyond astrophysics, tun-nelling phenomena play a central role in modern quantum technologies, including scanning tunnelling microscopy, semiconductor devices, and su-perconducting Josephson junctions used in quantum computing architec-tures. In theoretical physics, tunnelling also appears in models of Hawk-ing radiation, providing a quantum interpretation for particle emission from black holes. This work presents a unified theoretical exploration of quantum tunnelling across multiple physical scales. Beginning with the Schrödinger equation and barrier penetration theory, we examine tun-nelling in nuclear astrophysics, stellar reaction rates, quantum devices, and gravitational systems. Finally, we discuss emerging informational perspectives in modern physics, suggesting that probabilistic quantum processes may reveal deeper informational structures underlying physical reality.

DOI: 10.5281/zenodo.19571629

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Quantum tunneling — the passage of a particle through a potential barrier that it classically lacks the energy to surmount — has been described since Gamow (1928) by the tunneling probability T ≈ exp(−2κd), where κ = √(2m(V₀−E))/ℏ and d is the barrier width. The formula is well-confirmed experimentally but has not been derived from a physical principle more fundamental than the Schrödinger equation. We derive it from the principle of information processing load minimization, using the framework established in the preceding papers of this series. We define the tunneling load as C_tunnel = ∫κ(x)dx — the integral of the spatial attenuation coefficient through the barrier — and show that T = exp(−2·C_tunnel) exactly. This is not a restatement of the WKB approximation; it is an identification of the physical meaning of the integral ∫κ(x)dx as the information processing load of the tunneling path. The tunneling path is selected by load minimization: when C_tunnel < C_classical (the load of the classical over-barrier trajectory), the system tunnels. Three physical systems are verified numerically without free parameters: (i) proton-proton nuclear fusion in the solar core — Gamow load C_Gamow = πη = 11.28, T = 1.60 × 10⁻¹⁰, consistent with solar luminosity; (ii) scanning tunneling microscope (STM) current — C_STM = κd = 5.43 at 0.5 nm, T = 1.91 × 10⁻⁵, and the factor-of-ten current change per 0.1 nm distance change follows directly; (iii) Ra-226 alpha decay — C_Gamow = 79.2, T ~ 10⁻⁶⁹, consistent with the 1,600-year half-life. Tunneling is not a mysterious violation of classical mechanics. It is the selection of the minimum-load propagation path — the same principle that explains wave-particle duality (Paper 7), wave function collapse (Paper 4), and the structure of all fundamental forces (Paper 8).

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This article provides a comprehensive review of the quantum tunneling effect, one of the most important phenomena in quantum mechanics. According to the laws of classical physics, a particle cannot overcome a potential barrier if it has insufficient energy. However, in quantum mechanics, due to the wave nature of the particle, the probability of penetrating the barrier is non-zero. This work analyzes in detail the theoretical foundations of the tunneling effect, its description via the Schrödinger equation, probability amplitudes, boundary conditions for wave functions, and their physical meaning. Furthermore, the application of this effect in semiconductor physics, nuclear physics, scanning tunneling microscopy, and nanotechnology is discussed. Based on the work of Kazakh scientists, the place and significance of the tunneling effect in modern physics are determined. The research results provide a deeper understanding of quantum phenomena and promote the development of their practical applications.

This paper investigates the potential role of quantum tunneling effects in DNA replication, a fundamental biological process. Conventional models of DNA replication primarily rely on classical mechanics, often failing to fully explain the remarkably high efficiency and speed observed. We propose that quantum tunneling, specifically the ability of particles to pass through potential energy barriers, may play a significant, yet previously underappreciated, role. This work will explore theoretical models simulating key stages of DNA replication – namely, the separation of DNA strands and the synthesis of new strands – and demonstrate how tunneling could contribute to these processes. We introduce a framework for quantifying tunneling probabilities within the DNA environment and discuss the implications for understanding the kinetic parameters governing DNA replication. The core claim of this research is that quantum tunneling effects provide a viable explanation for the efficiency and speed of DNA replication, and the core mechanism is the utilization of tunneling to overcome energy barriers in strand separation and new strand synthesis. Further investigation is warranted to explore the precise conditions and structural features within DNA that might enhance tunneling probabilities.