DNA functions as a fractal antenna

Семантическая Биология: $\Delta$-$\Sigma$ онтология нуклеосомы и математический вывод геометрических инвариантов жизни. 2026. https://doi.org/10.5281/zenodo.18792821

This paper presents a radical revision of the foundations of biological science, shifting the study of living matter from descriptive chemistry to rigorous semantic topology. At the core of the study is the proof that the fundamental parameters of life—specifically the geometry of the nucleosome (1.67–1.7 DNA turns)—are not the product of accidental evolutionary self-assembly, but the mathematically inevitable result of maximizing the Coherence Functional K. Expanding upon the author’s Meta-ontological $\Delta$-$\Sigma$ Model, the research overcomes the Cartesian dualism of "matter vs. information." Here, DNA is conceptualized not as an inert data carrier (a "flash drive"), but as an active fractal antenna providing an interface between physical metrics and a high-frequency semantic field. The evidentiary basis of the study integrates a sequence of the author’s foundational works: The Theorem on $\Delta$-$\Sigma$ Turing Completeness, asserting the computational sufficiency of the operators of Distinction ($\Delta$) and Connection ($\Sigma$) for describing all natural processes; The Coherence Functional K, establishing a universal measure of semantic integrity and revealing the mechanisms of systemic self-restoration; Fractals in the $\Delta$-$\Sigma$ Paradigm, introducing the critical dissipation parameter ($\gamma$) that limits the physical realizability of abstract structures. The paper demonstrates that the nucleosome functions as a "semantic lens," isomorphic to the hidde Работа завершается обоснованием перехода к Семантической физике , где биология становится частным случаем динамики смысловых полей в материальной проекции. Technical info (English) This paper presents a radical revision of the foundations of biological science, shifting the study of living matter from descriptive chemistry to rigorous semantic topology. At the core of the study is the proof that the fundamental parameters of life—specifically the geometry of the nucleosome (1.67–1.7 DNA turns)—are not the product of accidental evolutionary self-assembly, but the mathematically inevitable result of maximizing the Coherence Functional K . Expanding upon the author’s Meta-ontological $\Delta$ - $\Sigma$ Model , the research overcomes the Cartesian dualism of "matter vs. information." Here, DNA is conceptualized not as an inert data carrier (a "flash drive"), but as an active fractal antenna providing an interface between physical metrics and a high-frequency semantic field. The evidentiary basis of the study integrates a sequence of the author’s foundational works: The Theorem on $\Delta$ - $\Sigma$ Turing Completeness , asserting the computational sufficiency of the operators of Distinction ( $\Delta$ ) and Connection ( $\Sigma$ ) for describing all natural processes; The Coherence Functional K , establishing a universal measure of semantic integrity and revealing the mechanisms of systemic self-restoration; Fractals in the $\Delta$ - $\Sigma$ Paradigm , introducing the critical dissipation parameter ( $\gamma$ ) that limits the physical realizability of abstract structures. The paper demonstrates that the nucleosome functions as a "semantic lens," isomorphic to the hidden dimensions of Calabi-Yau manifolds . A computational experiment conducted in the DS-Lang environment confirms that the point of maximum systemic stability ( $K_{max}$ ), given the set dissipation parameters, corresponds to 1.696 DNA turns—matching empirical biological data with precision. The theory provides a new definition of disease as a loss of coherence (the collapse of $\Sigma$ ) and outlines the framework for "Semantic Medicine" based on informational resonance.

DNA as a quantum system in evolution.. 2026. https://doi.org/10.1371/journal.pone.0344520

Time may be viewed as an emergent consequence of increasing information entropy. I explore a toy quantum‑information model in which DNA is treated as an open quantum system. In this framework, weak, time‑dependent perturbations (potentially arising from thermal fluctuations, ionic microfields, metabolic noise, or electromagnetic signals) bias the micro‑timing of events during replication and repair. These slight timing shifts can influence the fate of transient electronic and protonic configurations (including short‑lived tautomeric states driven by proton‑transfer tunnelling), subtly altering mutation probabilities. To test this idea, I map nucleotides in the Mycobacterium tuberculosis genome to constrained qubit states and quantify informational structure using Shannon and von Neumann entropies and coding to non‑coding correlation metrics. Simulations of Hamiltonian dynamics under physiologically plausible perturbations show that real genomic segments exhibit distinctive dynamical signatures compared with controls. I also examine a variant in which a weak, slowly varying external signal is introduced as a background "beat" against which DNA dynamics can be compared. Because a Doppler shift in electromagnetic waves encodes the flow of time through the relative motion of source and observer, a cosmic microwave background (CMB) with a tiny frequency drift provides a conceptual clock and a source of informational entropy: it feeds a time‑correlated input into the DNA quantum system, allowing the molecule to sample cosmic time and translate it into a biological scale by modulating tunnelling probabilities and thus mutation patterns. This CMB‑inspired drive is simply a convenient illustration; the model does not rely on it, and other sources of weakly structured entropy could be tested. Across simulations, sequence‑dependent responses to both intrinsic and structured perturbations generate testable predictions: changing the structure or timing of these weak perturbation Their Hamiltonian-based framework treats DNA as a computational structure capable of processing physical signals. DNA as a fractal antenna Martin Blank and Reba Goodman [ 11 ] proposed that DNA is a fractal antenna in electromagnetic fields. They conclude that the DNA's wide frequency range of interaction with electromagnetic fields (EMF) is the functional characteristic of a fractal antenna, and DNA appears to possess the two structural characteristics of fractal antennas, electronic conduction, and self-symmetry. In 2017, Singh P. et al. [ 12 ] showed DNA as an electromagnetic fractal cavity resonator. They reported that the 3D-A- DNA structure behaves as a fractal antenna, which can interact with the electromagnetic fields over a wide range of frequencies. Using the lattice details of human DNA, they modeled the radiation of DNA as a helical antenna. The DNA structure resonates with the electromagnetic waves at 34 GHz, with a positive gain of 1.7 dBi. DNA and biophotons Cells produce photons of biological origin-biophotons (not bioluminescence) related to metabolic activity produced by electronic triplets that participate in the electron transport chain in metabolic processes [ 13 ]. Experiments by Blank and Goodman and others have reported resonant responses of DNA-like systems around 34 GHz with a positive gain, suggesting that hydrated DNA behaves as a fractal antenna in this band [ 11 , 12 ]. Thus, I speculate that DNA could interact with two kinds of signals, the biological biophotonic signals produced by the cells [ 13 – 15 , 26 ] and another type of photonic signals coming from outside the cells, potentially including cosmic sources. Photon energy at 34 GHz is equivalent to ∼1.4 × 10 − 5 eV (electron volts), which is in the microwave region of the electromagnetic spectrum. In the THz band, spectroscopy has resolved conformation-dependent low-frequency modes in DNA oligomers and has distinguished methylation-dependent signatures in genomic DNA [ 35 , 36 ]. Accordingly, “DNA as a fractal antenna” is best treated as a phenomenological shorthand: a hierarchically packed, electrically polarizable polymer (plus hydration shell) can support multi-scale coupling, with effective coupling set by the dielectric microenvironment rather than by bare bases alone. Incorporated Antenna Gain: Incorporated antenna gain: the reported gain of 1.7 dBi was converted to a linear scale using gain_linear = 10^(gain_dBi/10). The perturbation amplitude was then rescaled as λ_perturbation * = gain_linear to mimic an enhanced effective coupling between the external field and the DNA-like system. In the present work this is used as a generic fractal-antenna-inspired correction and should not be interpreted as a quantitatively calibrated coupling to cosmological radiation. To investigate the potential role of DNA as a fractal antenna capturing cosmic signals and its impact on proton tunneling (and consequently mutational events), I developed a computational model simulating proton dynamics in DNA hydrogen bonds under the influence of external realistic shifted perturbations (incoming cosmic signals at 34 GHz shifted 0.0008 Hz in 3 hours based on real Doppler effect by universe expansion) and stochastic resonance (SR). The purpose of introducing stochastic resonance was to simulate a realistic biological environment where weak signals could be enhanced by noise. Fractal Antenna Terminology: The use of "DNA as a fractal antenna" is treated as a phenomenological shorthand. However, the manuscript cites controversial papers (e.g., Blank & Goodman) without critically addressing the lack of replication in the broader biophysics community regarding DNA microwave resonance. ********** what does this mean? ). If published, this will include your full peer review and any attached files. If you choose “no”, your identity will remain anonymous but your review may still be made public. Do you want your identity to be public for this peer review?