Correlation2x.png (550 × 416 pixels, file size: 5 KB, MIME type: image/png)
![]() | This is a file from the
Wikimedia Commons. Information from its
description page there is shown below. Commons is a freely licensed media file repository. You can help. |
DescriptionCorrelation2x.png |
English: Six broken-symmetries
[1], marked by the edges of a hierarchical series of physical subsystem-types
[2], may underlie the delicate correlation-based complexity of life on the surface of planet earth. Order-parameters
[3] associated with these broken symmetries might, in fact, help us broaden our definitions of community health
[4]. |
Date | |
Source | Own work |
Author | P. Fraundorf |
On the molecular level, for instance, the relatively-featureless isotropic-symmetry of liquid water may be broken by local translational pair-correlations (resulting in spherical reciprocal-lattice shells) as the liquid turns to polycrystal ice, and by both translational and rotational ordering (resulting in reciprocal-lattice spots) as the ice becomes a single crystal. A quasicrystal phase might have rotational without translational ordering, while a random-layer lattice might have rotational+translational ordering in one direction only. Thus even within a single layer of organization, broken symmetries play a role in the (at least temporary) development of order.
Hierarchical ordering in the layer just above a pair-correlated level may generally require a higher-level symmetry-break, which in turn gives rise to processes that select for inward-looking post-pair correlations as well as outward-looking pair-correlations on the next level up. Thus shared-electrons break the symmetry between in-molecule and extra-molecule interactions, bi-layer membranes allow symmetry between in-cell and out-cell chemistry to be broken, shared resources (like steady-state flows) may break the symmetry between in-tissue and external processes, metazoan skins allow symmetry between in-organism and out-organism processes to be broken, bias toward family breaks the symmetry between in-family and extra-family processes, membership-rules break the symmetry between in-culture and multi-cultural processes, etc.
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 17:51, 26 March 2013 |
![]() | 550 × 416 (5 KB) | Unitsphere | User created page with UploadWizard |
This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.
If the file has been modified from its original state, some details may not fully reflect the modified file.
File change date and time | 12:30, 16 April 2010 |
---|---|
Horizontal resolution | 28.34 dpc |
Vertical resolution | 28.34 dpc |
Correlation2x.png (550 × 416 pixels, file size: 5 KB, MIME type: image/png)
![]() | This is a file from the
Wikimedia Commons. Information from its
description page there is shown below. Commons is a freely licensed media file repository. You can help. |
DescriptionCorrelation2x.png |
English: Six broken-symmetries
[1], marked by the edges of a hierarchical series of physical subsystem-types
[2], may underlie the delicate correlation-based complexity of life on the surface of planet earth. Order-parameters
[3] associated with these broken symmetries might, in fact, help us broaden our definitions of community health
[4]. |
Date | |
Source | Own work |
Author | P. Fraundorf |
On the molecular level, for instance, the relatively-featureless isotropic-symmetry of liquid water may be broken by local translational pair-correlations (resulting in spherical reciprocal-lattice shells) as the liquid turns to polycrystal ice, and by both translational and rotational ordering (resulting in reciprocal-lattice spots) as the ice becomes a single crystal. A quasicrystal phase might have rotational without translational ordering, while a random-layer lattice might have rotational+translational ordering in one direction only. Thus even within a single layer of organization, broken symmetries play a role in the (at least temporary) development of order.
Hierarchical ordering in the layer just above a pair-correlated level may generally require a higher-level symmetry-break, which in turn gives rise to processes that select for inward-looking post-pair correlations as well as outward-looking pair-correlations on the next level up. Thus shared-electrons break the symmetry between in-molecule and extra-molecule interactions, bi-layer membranes allow symmetry between in-cell and out-cell chemistry to be broken, shared resources (like steady-state flows) may break the symmetry between in-tissue and external processes, metazoan skins allow symmetry between in-organism and out-organism processes to be broken, bias toward family breaks the symmetry between in-family and extra-family processes, membership-rules break the symmetry between in-culture and multi-cultural processes, etc.
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 17:51, 26 March 2013 |
![]() | 550 × 416 (5 KB) | Unitsphere | User created page with UploadWizard |
This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.
If the file has been modified from its original state, some details may not fully reflect the modified file.
File change date and time | 12:30, 16 April 2010 |
---|---|
Horizontal resolution | 28.34 dpc |
Vertical resolution | 28.34 dpc |