scholarly journals Global broadcast and attention can be highly punctuated in fuzzy cognitive systems

2013 ◽  
Author(s):  
Rodrick Wallace
Keyword(s):  
Differential Equations ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Statistical Physics ◽  
Information Sources ◽  
Index Theorem ◽  
Theoretical Work ◽  
Cognitive Systems ◽  
Class Structure ◽  
Global Broadcast

Previous theoretical work on consciousness and other punctuated global broadcasts associated with attention states has focused on the evolutionary exaptation of the inevitable crosstalk between related sets of unconscious cognitive modules (UCM). This has invoked a groupoid treatment of the equivalence class structure arising from information sources 'dual', in a formal sense, to the UCM, via a standard spontaneous symmetry breaking/lifting methodology abducted from statistical physics, and through an index theorem approach based on an Onsager-like stochastic differential equations model. Surprisingly, similar arguments can be applied to the formally 'fuzzy' generalizations that are likely to better fit actual biological complexities.

scholarly journals Global broadcast and attention can be highly punctuated in fuzzy cognitive systems

2013 ◽  
Author(s):  
Rodrick Wallace
Keyword(s):  
Differential Equations ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Statistical Physics ◽  
Information Sources ◽  
Index Theorem ◽  
Theoretical Work ◽  
Cognitive Systems ◽  
Class Structure ◽  
Global Broadcast

Previous theoretical work on consciousness and other punctuated global broadcasts associated with attention states has focused on the evolutionary exaptation of the inevitable crosstalk between related sets of unconscious cognitive modules (UCM). This has invoked a groupoid treatment of the equivalence class structure arising from information sources 'dual', in a formal sense, to the UCM, via a standard spontaneous symmetry breaking/lifting methodology abducted from statistical physics, and through an index theorem approach based on an Onsager-like stochastic differential equations model. Surprisingly, similar arguments can be applied to the formally 'fuzzy' generalizations that are likely to better fit actual biological complexities.

scholarly journals Global broadcast and attention can be highly punctuated in fuzzy cognitive systems

2013 ◽  
Author(s):  
Rodrick Wallace
Keyword(s):  
Differential Equations ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Statistical Physics ◽  
Information Sources ◽  
Index Theorem ◽  
Theoretical Work ◽  
Cognitive Systems ◽  
Class Structure ◽  
Global Broadcast

Previous theoretical work on consciousness and other punctuated global broadcasts associated with attention states has focused on the evolutionary exaptation of the inevitable crosstalk between related sets of unconscious cognitive modules (UCM). This has invoked a groupoid treatment of the equivalence class structure arising from information sources 'dual', in a formal sense, to the UCM, via a standard spontaneous symmetry breaking/lifting methodology abducted from statistical physics, and through an index theorem approach based on an Onsager-like stochastic differential equations model. Surprisingly, similar arguments can be applied to the formally 'fuzzy' generalizations that are likely to better fit actual biological complexities.

Symmetry Breaking and the Turn-On Fluorescence of Small, Highly Strained Carbon Nanohoops

2019 ◽  
Author(s):  
Terri Lovell ◽  
Curtis Colwell ◽  
Lev N. Zakharov ◽  
Ramesh Jasti
Keyword(s):  
Symmetry Breaking ◽  
Theoretical Work ◽  
P Systems ◽  
Quantum Yields ◽  
Size Dependent ◽  
New Class ◽  
Carbon Carbon Bond ◽  
Conjugated Macrocycles ◽  
Structural Manipulation ◽  
Highly Strained

<p>[<i>n</i>]Cycloparaphenylenes, or “carbon nanohoops,” are unique conjugated macrocycles with radially oriented p-systems similar to those in carbon nanotubes. The centrosymmetric nature and conformational rigidity of these molecules lead to unusual size-dependent photophysical characteristics. To investigate these effects further and expand the family of possible structures, a new class of related carbon nanohoops with broken symmetry is disclosed. In these structures, referred to as <i>meta</i>[<i>n</i>]cycloparaphenylenes, a single carbon-carbon bond is shifted by one position in order to break the centrosymmetric nature of the parent [<i>n</i>]cycloparaphenylenes. Advantageously, the symmetry breaking leads to bright emission in the smaller nanohoops, which are typically non-fluorescent due to optical selection rules. Moreover, this simple structural manipulation retains one of the most unique features of the nanohoop structures-size dependent emissive properties with relatively large extinction coefficents and quantum yields. Inspired by earlier theoretical work by Tretiak and co-workers, this joint synthetic, photophysical, and theoretical study provides further design principles to manipulate the optical properties of this growing class of molecules with radially oriented p-systems.</p>

Symmetry Breaking and the Turn-On Fluorescence of Small, Highly Strained Carbon Nanohoops

2019 ◽  
Author(s):  
Terri Lovell ◽  
Curtis Colwell ◽  
Lev N. Zakharov ◽  
Ramesh Jasti
Keyword(s):  
Symmetry Breaking ◽  
Theoretical Work ◽  
P Systems ◽  
Quantum Yields ◽  
Size Dependent ◽  
New Class ◽  
Carbon Carbon Bond ◽  
Conjugated Macrocycles ◽  
Structural Manipulation ◽  
Highly Strained

<p>[<i>n</i>]Cycloparaphenylenes, or “carbon nanohoops,” are unique conjugated macrocycles with radially oriented p-systems similar to those in carbon nanotubes. The centrosymmetric nature and conformational rigidity of these molecules lead to unusual size-dependent photophysical characteristics. To investigate these effects further and expand the family of possible structures, a new class of related carbon nanohoops with broken symmetry is disclosed. In these structures, referred to as <i>meta</i>[<i>n</i>]cycloparaphenylenes, a single carbon-carbon bond is shifted by one position in order to break the centrosymmetric nature of the parent [<i>n</i>]cycloparaphenylenes. Advantageously, the symmetry breaking leads to bright emission in the smaller nanohoops, which are typically non-fluorescent due to optical selection rules. Moreover, this simple structural manipulation retains one of the most unique features of the nanohoop structures-size dependent emissive properties with relatively large extinction coefficents and quantum yields. Inspired by earlier theoretical work by Tretiak and co-workers, this joint synthetic, photophysical, and theoretical study provides further design principles to manipulate the optical properties of this growing class of molecules with radially oriented p-systems.</p>

Spontaneous symmetry breaking of dislocation core in SrTiO3

2021 ◽  
pp. 100453
Author(s):  
Hetian Chen ◽  
Di Yi ◽  
Ben Xu ◽  
Jing Ma ◽  
Cewen Nan
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Dislocation Core

scholarly journals Tachyons and Solitons in Spontaneous Symmetry Breaking in the Frame of Field Theory

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1358
Author(s):  
Yiannis Contoyiannis ◽  
Michael P. Hanias ◽  
Pericles Papadopoulos ◽  
Stavros G. Stavrinides ◽  
Myron Kampitakis ◽  
...  
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Critical Point ◽  
Universality Class ◽  
Lattice Simulation ◽  
Ginzburg Landau ◽  
Spin Lattice ◽  
Nuclear Collisions ◽  
Ising Spin ◽  
Relativistic Nuclear Collisions

This paper presents our study of the presence of the unstable critical point in spontaneous symmetry breaking (SSB) in the framework of Ginzburg–Landau (G-L) free energy. Through a 3D Ising spin lattice simulation, we found a zone of hysteresis where the unstable critical point continued to exist, despite the system having entered the broken symmetry phase. Within the hysteresis zone, the presence of the kink–antikink SSB solitons expands and, therefore, these can be observed. In scalar field theories, such as Higgs fields, the mass of this soliton inside the hysteresis zone could behave as a tachyon mass, namely as an imaginary quantity. Due to the fact that groups Ζ(2) and SU(2) belong to the same universality class, one expects that, in future experiments of ultra-relativistic nuclear collisions, in addition to the expected bosons condensations, structures of tachyon fields could appear.

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