Hodges' Model: Welcome to the QUAD: singularity

Hodges' model is a conceptual framework to support reflection and critical thinking. Situated, the model can help integrate all disciplines (academic and professional). Amid news items, are posts that illustrate the scope and application of the model. A bibliography and A4 template are provided in the sidebar. Welcome to the QUAD ...

Showing posts with label singularity. Show all posts
Showing posts with label singularity. Show all posts

Saturday, December 17, 2022

Domain walls ...

"A domain wall is a type of topological soliton that occurs whenever a discrete symmetry is spontaneously broken. Domain walls are also sometimes called kinks in analogy with closely related kink solution of the sine-Gordon model or models with polynomial potentials.[1][2][3] Unstable domain walls can also appear if spontaneously broken discrete symmetry is approximate and there is a false vacuum.

A domain (hyper volume) is extended in three spatial dimensions and one time dimension. A domain wall is the boundary between two neighboring domains. Thus a domain wall is extended in two spatial dimensions and one time dimension.

Important examples are:

  • Domain wall (magnetism), an interface separating magnetic domains
  • Domain wall (optics), for domain walls in optics
  • Domain wall (string theory), a theoretical 2-dimensional singularity."

    https://en.wikipedia.org/wiki/Domain_wall


 INDIVIDUAL
|
 INTERPERSONAL    :     SCIENCES               
HUMANISTIC --------------------------------------  MECHANISTIC      
SOCIOLOGY  :   POLITICAL 
|
GROUP

conceptual spaces

threshold concepts

[#h2cm as] relational ontology

magnetism

optics

string theory

a space to tell stories of
and compare walls
seek openings
so many spaces of / to welcome

these walls:
are they necessary?
whose needs do they meet?
we know walls listen and talk too
who do they protect?
who do the respect?


Among the domain walls
are those that bring us together,
those that bring us - 'I' into being,
and yes, those that [try to] take us apart.


Inspiration:
Leslie Rosenberg, THE COSMOS IS MOSTLY MADE OF SOMETHING WE CANNOT SEE, Scientific American, January 2018, Volume 318, Number 1. pp.48-53.

Axioms, Domain Walls, and the Early Universe, P. Sikivie in Physical Review Letters, Volume 48. No. 17, pp.1156-1159; April 26, 1982.

Wednesday, August 20, 2008

Hodges' model: Background - Foreground and the Space Between

If there is one thing that h2cm exemplifies it is distance.
It is after all a four-way signpost.
Seven-way (and more) if we include past, now and future
and wrap these in a spiritual domain.

The novice coming to study and explore the periplus (Cunliffe, 2001) that is health and social care (plus informatics), is presented with a daunting and yet exciting coastline.

The curriculum the new learner must navigate ('negotiate' literally via learning contracts) lies before them the challenge heightened by several vanishing points on several horizons.

Our senses are designed to quantify and our intellect to qualify this thing we call distance. Distance within conceptual spaces and the semantic web is all about semantics: the meaning of the terms we use in everyday and specialised languages.

If it is not a case of begging the question, consider the key concepts that comprise an explanation of h2cm.

Declare one concept, for example, ‘individual’ and we create a semantic singularity (in the sense of conceptual plurality not noun?). As soon as we add another concept, such as 'group' a conceptual space (the h2cm grid or matrix) is created.

The axes of h2cm are not passive.
They provide a spatial and cognitive scaffold.
Like gravity each concept is related to others by an all pervasive force.

The force here while not physical, it is universal in the sense that every concept is associated with the others by virtue of their similarity. Even if not physical in that arc of the diver sense, this similarity can be calculated and can be represented computationally within a computer program or virtual reality environment – the force potentially represented as feedback.

Gardenfors, P. (2000). Conceptual Spaces, MIT Press, London.
Cunliffe, B. (2001). The Extraordinary Voyage of Pytheas the Greek, Penguin.
semantic singularity? I thought of singularity in the astronomical sense at first, but found ...
Levy, P. (2008). Beyond Semantic Web SEMANTIC SPACE
http://www.ieml.org/IMG/pdf/Balisage2008-pierre-levy.pdf
http://www.springer.com/linguistics/semantics/book/978-0-7923-6569-3
http://linkinghub.elsevier.com/retrieve/pii/S0749596X05000720