Continuous symmetries and conservation laws in chiral media

Crimin, Frances; Mackinnon, Neel; Götte, Jörg B.; Barnett, Stephen M.

doi:10.1117/12.2550815

Cited by 4 publications

(5 citation statements)

References 35 publications

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“…Electron-photon coupling is an illustrative example of stereo-selective (chirality-dependent) interaction between mass carriers (fermions) and massless EPs (bosons) [156,157]. The subjects of particular interest are the laws common to the non-biological and biological worlds.…”

Section: Hierarchical Levelsmentioning

confidence: 99%

Fundamental Cause of Bio-Chirality: Space-Time Symmetry—Concept Review

Dyakin

2022

Symmetry

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The search for fundamental determinants of bio-molecular chirality is a hot topic in biology, clarifying the meaning of evolution and the enigma of life’s origin. The question of origin may be resolved assuming that non-biological and biological entities obey nature’s universal laws grounded on space-time symmetry (STS) and space-time relativity (SPR). The fabric of STS is our review’s primary subject. This symmetry, encompassing the behavior of elementary particles and galaxy structure, imposes its fundamental laws on all hierarchical levels of the biological world. From the perspective of STS, objects across spatial scales may be classified as chiral or achiral concerning a specific space-related symmetry transformation: mirror reflection. The chiral object is not identical (i.e., not superimposable) to its mirror image. In geometry, distinguish two kinds of chiral objects. The first one does not have any reflective symmetry elements (a point or plane of symmetry) but may have rotational symmetry axes (dissymmetry). The second one does not have any symmetry elements (asymmetry). As the form symmetry deficiency, Chirality is the critical structural feature of natural systems, including sub-atomic particles and living matter. According to the Standard Model (SM) theory and String Theory (StrT), elementary particles associated with the four fundamental forces of nature determine the existence of micro- and galaxy scales of nature. Therefore, the inheritance of molecular symmetry from the symmetry of elementary particles indicates a bi-directional (internal [(micro-scale) and external (galaxy sale)] causal pathway of prevalent bio-chirality. We assume that the laws of the physical world impact the biological matter’s appearance through both extremities of spatial dimensions. The extended network of multi-disciplinary experimental evidence supports this hypothesis. However, many experimental results are derived and interpreted based on the narrow-view prerogative and highly specific terminology. The current review promotes a holistic approach to experimental results in two fast-developing, seemingly unrelated, divergent branches of STS and biological chirality. The generalized view on the origin of prevalent bio-molecular chirality is necessary for understanding the link between a diverse range of biological events. The chain of chirality transfer links ribosomal protein synthesis, cell morphology, and neuronal signaling with the laterality of cognitive functions.

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Section: Hierarchical Levelsmentioning

confidence: 99%

Fundamental Cause of Bio-Chirality: Space-Time Symmetry—Concept Review

Dyakin

2022

Symmetry

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“…Various physical quantities can be used to describe OAM and SAM. The OAM density, which bridges quantum mechanics and electromagnetism, is used to quantitatively describe the OAM modes. ,− The OAM density L is defined as in which r is the position vector, P is the momentum of electromagnetic fields represented as , and the International System of Units (SI) are used. The analysis of interactions between the OAM modes and chiral scatterers is different from that of SAM beams where the chirality or SAM density has been used. − All components of simulated electromagnetic fields at 3 mm distance over the resonator surface at 1.055 GHz are given in Figure a.…”

Section: Resultsmentioning

confidence: 99%

Single-Particle Dichroism Using Orbital Angular Momentum in a Microwave Plasmonic Resonator

Zhang

Cui

2020

ACS Photonics

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Dichroism measurement is mostly restricted to extensive numbers of molecules due to weak response from a single deep-subwavelength particle, and hence single-molecule dichroism is of essential importance for the in-depth study of enantiomers. This paper reports the dichroism capability of a single chiral particle within the diameter of 1/150 wavelengths and smaller, using sharp resonance dips of confined orbital angular momentum (OAM) modes, which are ultrasensitive to disturbance from chiral particles. The OAM modes are realized in a microwave plasmonic resonator via chiral symmetry breaking in the structure. Full-wave simulations and OAM density analysis of the resonant modes confirm the single-particle dichroism principle. Experimental results agree well with the simulations. The principle is demonstrated in the microwave frequency for convenient manipulations and intensive investigations, while it envisions ground-breaking applications of the confined OAM modes in on-chip single-molecule dichroism in the optical frequency range.

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“…The underlying physical laws are considered as fundamental determinants of light-matter interaction [Cameron, et al, 2017;Bordács, et al 2012;Forbes & Andrew, 2021]. The interaction between chiral matter and circularly polarized light (as events occurring in both space and time domains) is determined by the combination of physical parameters influencing the degree of stereo-specific effects [Crimin, et al, 2020]. Electron-photon coupling is an illustrative example of stereo-selective (chirality-dependent) interaction between mass carriers (fermions) and massless (bosons) EPs [Cottet, et al 2015, Mun, et al 2020].…”

Section: Hierarchical Levelsmentioning

confidence: 99%

“…Molecular chirality (i.e., an association with symmetry constraints) originates from the symmetry of atomic constituents, including electrons and protons, inherent to all members of the periodic table of elements. Experimentally observed CISS effects in αhelical proteins and DNA structures attract attention to theoretical consideration of the mechanism of electron spin selective transport in biological molecules [Crimin, et al, 2020]. The emergence of biochirality mechanisms is generally classified as biotic or abiotic.…”

Section: Molecular Levelmentioning

confidence: 99%

Fundamental Cause of Bio-Chirality - Space-Time Symmetry: Concept Review

Dyakin¹

2022

Preprint

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The search for fundamental determinants of bio-molecular chirality is a hot topic in biology, clarifying the meaning of evolution and the enigma of life's origin. Non-biological and biological entities obey the universal laws of nature grounded on space-time symmetry (STS) transformations. The fabric of STS is the immense subject of our review. The symmetry, encompassing behavior of elementary particles and galaxy structure, imposes its fundamental laws on all hierarchical levels of the biological world. Objects across spatial scales may be classified as chiral or achiral concerning a specific space-related symmetry transformation - mirror reflection. Chirality as a symmetry element reflecting the property of asymmetry (or dissymmetry) is the critical structural feature of natural systems, including sub-atomic particles and living matter. The inheritance of molecular symmetry from the symmetry of elementary particles points to the bi-directional causal pathway of prevalent bio-chirality. We assume that both extremities of spatial dimension naturally influence this transitional state of biological matter. The current review promotes an integrative holistic approach to the new experimental results in fast-developing and divergent branches of STS and biological chirality. The generalized view on biological chirality is a necessary and promising avenue for adequately understanding the link between protein folding, cell morphology, neuronal signaling, and laterality of cognitive functions.

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Continuous symmetries and conservation laws in chiral media

Cited by 4 publications

References 35 publications

Fundamental Cause of Bio-Chirality: Space-Time Symmetry—Concept Review

Fundamental Cause of Bio-Chirality: Space-Time Symmetry—Concept Review

Single-Particle Dichroism Using Orbital Angular Momentum in a Microwave Plasmonic Resonator

Fundamental Cause of Bio-Chirality - Space-Time Symmetry: Concept Review

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