An index is developed for elements and molecules by applying pairwise consistency to relativistic quantum mechanics.This index can be applied to study carcinogenic substances identified in studies on humans or primates.This index is found to be significantly different between carcinogenic and non-carcinogenic chemicals tested on rhesus monkeys.An existing theory of how some chemicals cause damage to living cells is that free radicals can react with other molecules to cause cell damage or DNA mutation.A free radical is any atom or molecule that contains unpaired electrons.Historically, this meant its spin was not zero.In quantum mechanics each molecule under consideration can be thought of as a wave function from a Hilbert space.The Hilbert space of the wave function with odd half spin is shown not to be pairwise consistent.We have previously made the hypothesis that (the spaces of wave functions of) spin zero atoms or molecules are pairwise consistent.Now the lens space L (3, q) is also pairwise consistent if q is relatively prime to 3. Thus we reason that the latter may be a limit or generalization of the Hilbert space (of wave functions of the molecule under consideration).We have defined the above index based on a function that is sensitive to both spin parity and whether it is relatively prime to 3, the space dimensions.The index can be used to extend the theory of how chemicals may cause damage to living cells.Based on the value of the index calculated from a molecule, that molecule can react with other molecules to cause cell damage or DNA mutation.
An index is developed for elements and molecules by applying pairwise consistency to relativistic quantum mechanics.This index can be applied to study carcinogenic substances identified in studies on humans or primates.This index is found to be significantly different between carcinogenic and non-carcinogenic chemicals tested on rhesus monkeys.An existing theory of how some chemicals cause damage to living cells is that free radicals can react with other molecules to cause cell damage or DNA mutation.A free radical is any atom or molecule that contains unpaired electrons.Historically, this meant its spin was not zero.In quantum mechanics each molecule under consideration can be thought of as a wave function from a Hilbert space.The Hilbert space of the wave function with odd half spin is shown not to be pairwise consistent.We have previously made the hypothesis that (the spaces of wave functions of) spin zero atoms or molecules are pairwise consistent.Now the lens space L (3, q) is also pairwise consistent if q is relatively prime to 3. Thus we reason that the latter may be a limit or generalization of the Hilbert space (of wave functions of the molecule under consideration).We have defined the above index based on a function that is sensitive to both spin parity and whether it is relatively prime to 3, the space dimensions.The index can be used to extend the theory of how chemicals may cause damage to living cells.Based on the value of the index calculated from a molecule, that molecule can react with other molecules to cause cell damage or DNA mutation.
This study explores the potential of quantum computing as an alternative information processing approach, utilizing quantum bits (qubits), superposition, and entanglement to significantly expand computational capabilities in the healthcare domain. It is evident that quantum mechanics has become a foundational component in the construction of our contemporary physical reality. This scientific field is distinguished by its rapid advancement and the potential to transform various aspects of our daily lives. In this era, quantum biology is of significant importance and has the potential to act as a transformative force, particularly in the field of medicine, specifically in addressing the challenges posed by cancer. Cancer is defined as a complex and abnormal alteration of cells, orchestrated through intricate signaling pathways. This transformation is characterized by the accumulation of deleterious mutations. The concept of phenocopy, representing genetic mutations influenced by the environment, challenges the linear process line of molecular biology involving DNA, RNA, and proteins. Notwithstanding the augmented focus on quantum biology in recent decades, a plethora of unresolved issues persist within the domain of cancer biology, thereby giving rise to unexplored avenues. Quantum theory has demonstrated its ability to explain models related to biological and biochemical processes, encompassing the effects of carcinogens on genes, the mechanism of interactions between chemotherapy drugs and DNA, and the understanding of DNA mutations and defective protein synthesis. Recent skepticism among quantum physicists regarding the fundamental role of quantum effects in biology has emerged, particularly with regard to open quantum systems and the impact of decoherence on the destruction of coherence necessary for significant quantum effects. The document under scrutiny herein undertakes an investigation of recent studies that are rooted in the principles of quantum physics, with a particular focus on the manner in which these principles apply to the domains of cancer biology and metabolism.
In the introductory remarks to Chapter 5 mention was made of the 1925 proposal of Uhlenbeck and Goudsmit that to an electron there should be assigned an intrinsic angular momentum or spin S = (S x , S y , S z )—this in addition to its quantum angular momentum (or orbital angular momentum) M = (M x , M y , M z ) defined in (5.4.4). This is not to be taken to mean that an electron actually spins about an axis in some physical way. Experiments (in particular the noted Stern-Gerlach experiment) have provided adequate justification for the proposed concept of spin, a proposal also made by R. Bichowsky and H. Urey. Dirac has shown that the notion of spin is necessary if quantum mechanics and Einstein relativity are to be consistent theories. Chemical properties of atoms, and their ability to combine and form molecules, the splitting of spectral lines by a magnetic field applied to an atom (i.e., the Zeeman effect, which we discuss later), all depend on this important notion.
We have seen in the previous chapter how useful wave mechanics can be in solving physical problems. But wave mechanics has several limitations. It describes physical states by means of wave functions, which are functions of the positions of the particles of the system, but why should we single out position as the fundamental physical observable? For instance, we might want to describe states in terms of probability amplitudes for particles to have certain values of the momentum or energy rather than the position. A more fundamental limitation is that there are attributes of physical systems that cannot be described at all in terms of the positions and momenta of a set of particles. One of these attributes is spin , which will be a chief subject of Chapter 4. Another is the value of the electric or magnetic field at some point in space, treated in Chapter 11. This chapter will describe the principles of quantum mechanics in a formalism which is essentially the “transformation theory” of Dirac, mentioned briefly in Section 1.4. This formalism generalizes both the wave mechanics of Schrödinger and the matrix mechanics of Heisenberg, and is sufficiently comprehensive to apply to any sort of physical system. States The first postulate of quantum mechanics is that physical states can be represented as vectors in a sort of abstract space known as Hilbert space . Before getting into Hilbert space, I need to say a bit about vectors in general. In kindergarten we learn that vectors are quantities with both magnitude and direction. Later, when we study analytic geometry, we learn instead to describe a vector in d dimensions as a string of d numbers, the components of the vector. The latter approach lends itself well to calculation, but in some respects the kindergarten version is better, because it allows us to describe relations among vectors without specifying a coordinate system. For instance, a statement that one vector is parallel to a second vector, or perpendicular to a third, has nothing to do with how we choose our coordinate system. Here we will formulate what we mean by vector spaces in general, and Hilbert space in particular, in a way that is independent of the coordinates we use to describe directions in these spaces.
• Published in PLOS One, reinterpreting DNA not as classical chemical bonds but as an open quantum system continuously interacting with the external environment. • Presents a theoretical framework where quantum tunneling, wave functions, and macroscopic quantum entanglement regulate the directionality of genetic mutations and increase survival fitness under environmental stress. • An innovative model demonstrating that genetic evolution is not driven by simple random chemical variations, but by a highly synchronized quantum mechanical probability distribution system within the cell. [Quantum Biology Society] Since Charles Darwin, the evolution of living organisms has been explained within the classical biological framework of random mutation and natural selection. However, a groundbreaking study has recently been published that reinterprets the mechanisms of genetic information preservation and evolution beyond the perspective of classical chemical bonds into subatomic quantum physics, delivering a fresh shock to the academic community. A paper titled "DNA as a quantum system in evolution," published in the March 2026 issue of the international journal PLOS One, identified DNA not merely as an information storage medium but as an open quantum system continuously communicating with the environment. Researcher Nahuel Aquiles Garcia, who conducted this single-author study, newly analyzed DNA dynamics through a quantum-informational model, presenting groundbreaking insights into the evolutionary process of living organisms. ■ An Open Quantum System Communicating with the Environment The researcher explained that DNA, the genetic material of living organisms, functions not as an isolated chemical molecule but as an open quantum system constantly interacting with minute energy changes in the external environment. According to this framework, changes in the minute wave function, quantum tunneling, and macroscopic quantum entanglement phenomena occurring within DNA directly affect the genetic behavior of living organisms. ■ Directionality of Mutations Beyond Randomness The most interesting part is the redefinition of how genetic mutations occur under environmental stress. From the existing Darwinian perspective, mutations were considered the result of blind and random chemical errors. However, the new quantum biological model suggests that the complex energy fields within the cell and the highly synchronized quantum mechanical probability distribution system between molecules can specifically regulate the directionality of mutations. In other words, quantum phenomena can microscopically guide evolutionary pressure in a direction that increases the survival fitness of the organism. ■ A New Paradigm in Evolutionary Biology This study is a bold and innovative biophysical achievement demonstrating that genetic evolution might not simply be the product of blind chance, but an elegant process fundamentally driven and orchestrated by the laws of quantum physics. This new paradigm, which integrates classical biology and quantum mechanics in unlocking the secrets of the origin and evolution of life, is expected to open completely new horizons of research across genetics and the life sciences in the future.
For nearly half a century, theoretical physicists have made a series of discoveries that certain constants in fundamental physics seem extraordinarily fine-tuned to allow for the emergence of a life-enabling universe. [9] From the standpoint of physics, there is one essential difference between living things and inanimate clumps of carbon atoms: The former tend to be much better at capturing energy from their environment and dissipating that energy as heat. [8] This paper contains the review of quantum entanglement investigations in living systems, and in the quantum mechanically modeled photoactive prebiotic kernel systems. [7] The human body is a constant flux of thousands of chemical/biological interactions and processes connecting molecules, cells, organs, and fluids, throughout the brain, body, and nervous system. Up until recently it was thought that all these interactions operated in a linear sequence, passing on information much like a runner passing the baton to the next runner. However, the latest findings in quantum biology and biophysics have discovered that there is in fact a tremendous degree of coherence within all living systems. The accelerating electrons explain not only the Maxwell Equations and the Special Relativity, but the Heisenberg Uncertainty Relation, the Wave-Particle Duality and the electron’s spin also, building the Bridge between the Classical