The Theory of Extension

1997 ◽  
pp. 135-167
Author(s):  
Elizabeth M. Kraus
Keyword(s):  
Genetic Analysis ◽  
Space Time ◽  
Time Region

This chapter analyzes Part IV of Process and Reality. It begins with a discussion of coordinate division, which is the isolation of the separable elements in the inseparate unity of the satisfaction. In genetic analysis, which is likewise an analysis of these separable elements, the emphasis is placed on the feelings themselves: their arising, structure, subjective forms, integration, and comparison. Coordinate division, as an analysis of the concrete superject emergent from the process of feeling, concentrates on the fully determinate, unified space–time region actualized in the concrescence and distinguishes in it the sub-regions, extensive quanta, and standpoints which might be. Therefore, it is primarily the data from the physical pole of an entity which are susceptible to coordinate analysis. The remainder of the chapter explains extensive connection, flat loci, strains, and measurement.

scholarly journals Natural Law and Universality in the Philosophy of Biology

2014 ◽  
Vol 22 (S1) ◽  
pp. S145-S162
Author(s):  
Alexander Reutlinger
Keyword(s):  
Natural Law ◽  
Explanatory Power ◽  
Philosophy Of Biology ◽  
Space Time ◽  
Space And Time ◽  
Region I ◽  
Unrestricted Domain ◽  
Time Region ◽  
Domain I

Several philosophers of biology have argued for the claim that the generalizations of biology are historical and contingent.1–5 This claim divides into the following sub-claims, each of which I will contest: first, biological generalizations are restricted to a particular space-time region. I argue that biological generalizations are universal with respect to space and time. Secondly, biological generalizations are restricted to specific kinds of entities, i.e. these generalizations do not quantify over an unrestricted domain. I will challenge this second claim by providing an interpretation of biological generalizations that do quantify over an unrestricted domain of objects. Thirdly, biological generalizations are contingent in the sense that their truth depends on special (physically contingent) initial and background conditions. I will argue that the contingent character of biological generalizations does not diminish their explanatory power nor is it the case that this sort of contingency is exclusively characteristic of biological generalizations.

scholarly journals LOOKING BEYOND THE THERMAL HORIZON: HIDDEN SYMMETRIES IN CHIRAL MODELS

2000 ◽  
Vol 12 (03) ◽  
pp. 461-473 ◽  
Author(s):  
B. SCHROER ◽  
H.-W. WIESBROCK
Keyword(s):  
Ground State ◽  
Degrees Of Freedom ◽  
Quantum Physics ◽  
Blow Up ◽  
Heat Bath ◽  
Original System ◽  
Space Time ◽  
Matter Content ◽  
Hidden Symmetries ◽  
Time Region

In thermal states of chiral theories, as recently investigated by H.-J. Borchers and J. Yngvason, there exists a rich group of hidden symmetries. Here we show that this leads to a radical converse of of the Hawking–Unruh observation in the following sense. The algebraic commutant of the algebra associated with a (heat bath) thermal chiral system can be used to reprocess the thermal system into a ground state system on a larger algebra with a larger localization space-time. This happens in such a way that the original system appears as a kind of generalized Unruh restriction of the ground state sytem and the thermal commutant as being transmutated into newly created "virgin space-time region" behind a horizon. The related concepts of a "chiral conformal core" and the possibility of a "blow-up" of the latter suggest interesting ideas on localization of degrees of freedom with possible repercussion on how to define quantum entropy of localized matter content in Local Quantum Physics.

scholarly journals The zitterbewegung region

2017 ◽  
Vol 32 (19n20) ◽  
pp. 1750117 ◽  
Author(s):  
B. G. Sidharth ◽  
Abhishek Das
Keyword(s):  
Space Time ◽  
Sharp Contrast ◽  
Quantum Mechanical ◽  
Precise Description ◽  
Unique Region ◽  
Stochastic Nature ◽  
Time Region ◽  
Compton Scale

This paper deals with a precise description of the region of zitterbewegung below the Compton scale and the stochastic nature associated with it. We endeavor to delineate this particular region by means of Ito’s calculus and instigate certain features that are in sharp contrast with conventional physics. Interestingly, our work substantiates that the zitterbewegung region represents a pre-space–time region and from therein emerges the notion of our conventional space–time. Interestingly, this unique region engenders the relativistic and quantum mechanical aspects of space–time.

scholarly journals NETS OF SUBFACTORS

1995 ◽  
Vol 07 (04) ◽  
pp. 567-597 ◽  
Author(s):  
R. LONGO ◽  
K.-H. REHREN
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Relative Position ◽  
Von Neumann Algebras ◽  
Space Time ◽  
Quantum Field ◽  
Von Neumann ◽  
Time Region ◽  
Theoretical Application ◽  
Theory Formula

A subtheory of a quantum field theory specifies von Neumann subalgebras [Formula: see text] (the ‘observables’ in the space-time region [Formula: see text]) of the von Neumann algebras [Formula: see text] (the 'field' localized in [Formula: see text]). Every local algebra being a (type III1) factor, the inclusion [Formula: see text] is a subfactor. The assignment of these local subfactors to the space-time regions is called a ‘net of subfactors’. The theory of subfactors is applied to such nets. In order to characterize the ‘relative position’ of the subtheory, and in particular to control the restriction and induction of superselection sectors, the canonical endomorphism is studied. The crucial observation is this: the canonical endomorphism of a single local subfactor extends to an endomorphism of the field net, which in turn restricts to a localized endomorphism of the observable net. The method allows one to characterize, and reconstruct, local extensions ℬ of a given theory [Formula: see text] in terms of the observables. Various non-trivial examples are given. Several results go beyond the quantum field theoretical application.

Generalized O(2, 1) expansions for asymptotically growing amplitudes, II: Space-time region

1972 ◽  
Vol 70 (1) ◽  
pp. 286-297 ◽  
Author(s):  
C.E Jones ◽  
F.E Low ◽  
J.E Young
Keyword(s):  
Space Time ◽  
Time Region

The Structure of a Concrescence

1997 ◽  
pp. 107-134
Author(s):  
Elizabeth M. Kraus
Keyword(s):  
Genetic Analysis ◽  
Creative Process ◽  
Space Time ◽  
The Self ◽  
Efficient Causality ◽  
The Subject ◽  
Spatio Temporal

This chapter analyzes Part III of Process and Reality. It begins with a discussion of the nature of genetic analysis and states that in genetic analysis, the self-creative process of the subject is traced as it grows from phase to phase. Coordinate analysis, focusing on the fully determinate satisfaction achieved in concrescence, takes as its object the spatio-temporal standpoint in the extensive continuum which the entity has actualized. The former mode divides an occasion into prehensions, underscoring its final causality; the latter mode yields space–time regions through which chains of efficient causality are propagated. The reminder of the chapter explains the nature of feelings in general, primary feelings, propositions and feelings, and comparative feelings.

The space-time metric inside a rotating cylinder

1971 ◽  
Vol 69 (2) ◽  
pp. 325-327 ◽  
Author(s):  
H. Davies ◽  
T. A. Caplan
Keyword(s):  
Mass Distribution ◽  
Rotating Cylinder ◽  
Space Time ◽  
Axially Symmetric ◽  
Time Region

AbstractIt is shown that the space-time region inside an axially symmetric, infinite, rotating, cylindrical mass distribution is necessarily Minkowskian.

Sign in / Sign up

Export Citation Format

Share Document