The Mind of the All(Site not responding. Last check: 2007-10-13)
The rhythmic balanced inter-change between concentration and decentration is the primordial pattern of the Thinking of the Cosmic Mind.
This Cosmic Thinking is the unfolding or explicating of the pregeometry or the implicate pattern/idea of the Cosmic Mind in the state of Stillness or Meditation.
To think is to unfold or explicate the pregeometry or the implicate pattern/idea through the rhythmic pattern of concentration-decentration in forms.
The notion of "pregeometry" was introduced by John Wheeler to refer to a primary aphysical realm from which the physical world emerges.
Here is it suggested that, in fact, mind is this pregeometry -- that, in Bohmian terms, human minds are the implicate order from which the explicate order of physical reality is produced.
Some specific ideas about how to formalize the notion of mind as pregeometry are developed, using the author's previous mathematical models of mind in terms of dynamical systems and abstract algebras.
Wheeler, Pregeometry: Motivations and prospects, in Quantum Theory and Gravitation, A. Marlow, ed.
Here we propose a mathematical pregeometric process model of reality which in [5] was called a Heraclitean Quantum System (HQS) There we arrived at a HQS by deconstruction of the functional integral formulation of quantum field theories retaining only those structures which we felt would not....
J.A. Wheeler, Pregeometry: Motivations and Prospects, in Quantum Theory and Gravitation, A. Marlow, ed.
Quantum pregeometric space-time(Site not responding. Last check: 2007-10-13)
Furthermore, attempts to construct a quantum theory of gravity indicate that a continuum picture must break down on small scales.
To overcome these problems, it has been suggested that space-time should be considered as an emergent property of an underlying structure, or ``pregeometry''.
Here, the problems posed for continuum space-time by general relativity and quantum theory are discussed, and an approach to pregeometry based on the notion of quantum process is outlined.
INI : Abstracts : MAAW01 : On the quasi-minimality of certain expansions of the complex field.(Site not responding. Last check: 2007-10-13)
Another aspect of the talk is that it gives some sort of answer to a question of Hrushovski (private communication a couple of years ago) which asks whether elimation of quantifiers for algebraically closed fields may be naturally deduced from elimination of quantifiers for real closed ordered fields.
I show that even though the definable closure operator on an o-minimal structure (expanding a real closed field) does not satisfy the modular law, it may nevertheless be linearised and thereby induce a pregeometry on an expansion of its algebraic closure.
The Cauchy-Riemann equations play a role here so that, for example, in the pure field case this pregeometry IS algebraic closure (and not,say, "algebraic closure of the set of real and imaginary parts").
Although a few technical aspects associated with the GGU-model were yet to be fully justified, two papers were written in 1986 [15], [16] announcing the solution to the general grand unification problem and the pregeometry problem of Wheeler and Patton.
An appendix in [17] describes how Wheeler and his colleagues at Princeton tried to construct a pregeometry from the statistics of very long propositions and very many propositions, where the term "proposition" refers to the propositional (i.e.
(8) It is difficult to believe that we can uncover this pregeometry except as we come to understand at the same time the necessity of the quantum principle, with its "observer-participator," in the construction of the world.
Pregeometry: Geom is not fundamental, but emerges at large scales – in some views, it does not really exist.
Nature of theories: Most proposals are realistic (they assume the existence of physical entities endowed with concrete properties), and objective (they can be formulated without any reference to knowing subjects or sensorial fields); Many are also relational (spacetime is not a thing, but a complex of relations among things).
Instructional Approaches to Teaching Problem Solving in Mathematics: Integrating Theories of Learning and Technology(Site not responding. Last check: 2007-10-13)
Cognitively, I interpret that to mean the student gets to learn at his own pace without being pushed to understand things he is not ready for.
As a teacher of pregeometry, which involves comprehension, application, analysis, and synthesis, the cognitive application of technology supports the concept of computers in the mathematics classroom.
One great example of using technology in my pregeometry class is the implementation of the PreGeometry Tutor Proof, or GPTutor, computer program.
Abstract: I examine various aspects of event-symmetric physics such as phase changes, symmetry breaking and duality by studying a number of simple toy-models.
Keywords quantum gravity, discrete space-time, event-symmetric space-time, pregeometry model, symmetric group, spontaneously broken symmetry, simplicial lattice field theory, dynamical triangulation, random graphs, matrix model, Lie algebra, supersymmetry, duality Copyright Notice This document is Copyright c fl1995 by the author Philip E. (Update)
1 Pregeometry: Motivations and Prospects in Quantum Theory and..
Since the two have different topologies, there can't be any continuous way of going from one to the other.
In response to this problem, he suggested that the description of spacetime in terms of a smooth manifold was not fundamental, and that we really need some more other description, some sort of "pregeometry".
This is nicely described using the mathematics of "spinors", but *not* so nicely described in terms of wormholes.
The pregeometry GUT of Pravin Varaiya unites quantum mechanics and relativity theory.
The complex theory predicts antigravity and a whole host of new phenomena.
At a new attack the Beta Canum XIII base is destroyed, while an attack on a mining project at 61 Ursae Majoris is repulsed with heavy civilian causalities.
Resource Database(Site not responding. Last check: 2007-10-13)
Use the menu bar above to locate centers in your state or search the Resource Database for other materials.
This book, a prealgebra and a pregeometry course for use in grades 7 to 10, emphasizes connections within mathematics and between mathematics and other disciplines, develops concepts through real world applications, assumes the use of scientific calculators, and inserts computer programs whenever appropriate to the content of the text.
Topics include decimal notation, probability, spreadsheets, transformations, tessellations, and surface areas of cylinders and prisms.
Tim's Homepage(Site not responding. Last check: 2007-10-13)
This project has been funded by the Linzer Innovationstopf in 2004.
The second main project investigates the pregeometry derived from certain graphs: Cahill and colleagues have determined a class of graphs and postulate that they have a strong 3-sphere global structure.
I am working upon developing visualisations of these as a part of a LinzExport project.
