We can't find the internet
Attempting to reconnect
Something went wrong!
Hang in there while we get back on track
Controllable Selectivity and Permeability of Synthetic Membranes Based on a Quantum-Resonance Cascade in a Configuration Space of Variable Dimension
Summary
Scientists have proposed a theoretical design for advanced water filters that could be "tuned" using special energy pulses to trap microplastics and toxic heavy metals like lead and mercury far more effectively than current membranes—potentially improving filtration by 10 to 100 times. This is still an early-stage mathematical concept rather than a tested product, but if it pans out, it could lead to better technology for cleaning contaminants out of water supplies, reducing our exposure to pollutants linked to health problems.
Modern environmental problems of the World Ocean, caused by the intensive discharge of organic and inorganic waste, require the development of new approaches for their solution. The filtration of microplastics (particles of polystyrene, polyethylene with sizes of 0.1-5 μm), heavy metals (e.g., Hg, Pb, Cd), and organic pollutants requires the creation of synthetic membranes with controllable selectivity and permeability. A key feature of selective membranes that makes it possible to speak of controllable selectivity is the fundamental role of the collective behavior of the fermion system in the membrane channels. The correlations of the fermion system and the long-range order of the electron density are described by the configuration space of the physical system. In works [1-6] a mathematical (algebraic) construction was presented that allows one to consider the variable dimension of the configuration space and to take into account the influence of the possibility of a change of dimension on some equations of mathematical physics. In works [7,9] approaches to solving applied problems based on variable-dimension effects were presented. In the present work, on the basis of the modified Dirac equation and the Kohn-Sham method, a formalism is constructed for controlling the selectivity of synthetic membranes via a quantum-resonance cascade. It is shown that the external dimension field φ(t) makes it possible to modulate the effective potential of the channel, changing the permeability for microplastic particles and heavy-metal ions by a factor of 10-100. Estimates of characteristic frequencies (terahertz range) and cascade times (20-40 ps) are given.