A casuality group in finite space-time

1972 ◽  
Vol 10 (1) ◽  
pp. 19-36 ◽  
Author(s):  
A. A. Blasi ◽  
F. Gallone ◽  
A. Zecca ◽  
V. Gorini
Keyword(s):  
2014 ◽  
Vol 23 (04) ◽  
pp. 1450019 ◽  
Author(s):  
Paolo Castorina ◽  
Helmut Satz

For hadron production in high energy collisions, causality requirements lead to the counterpart of the cosmological horizon problem: the production occurs in a number of causally disconnected regions of finite space-time size. As a result, globally conserved quantum numbers (charge, strangeness, baryon number) must be conserved locally in spatially restricted correlation clusters. This provides a theoretical basis for the observed suppression of strangeness production in elementary interactions (pp, e+e-). In contrast, the space-time superposition of many collisions in heavy ion interactions largely removes these causality constraints, resulting in an ideal hadronic resonance gas in full equilibrium.


1986 ◽  
Vol 01 (04) ◽  
pp. 971-990 ◽  
Author(s):  
KARL SVOZIL ◽  
ANTON ZEILINGER

In order to make it operationally accessible, it is proposed that the notion of the dimension of space-time be based on measure-theoretic concepts, thus admitting the possibility of noninteger dimensions. It is found then, that the Hausdorff covering procedure is operationally unrealizable because of the inherent finite space-time resolution of any real experiment. We therefore propose to define an operational dimension which, due to the quantum nature of the coverings, is smaller than the idealized Hausdorff dimension. As a consequence of the dimension of space-time less than four, relativistic quantum field theory becomes finite. Also, the radiative corrections of perturbation theory are sensitive on the actual value of the dimension 4–ε. Present experimental results and standard theoretical predictions for the electromagnetic moment of the electron seem to suggest a nonvanishing value for ε.


2008 ◽  
Vol 15 (9) ◽  
pp. 092111 ◽  
Author(s):  
S. D. Baalrud ◽  
J. D. Callen ◽  
C. C. Hegna

Universe ◽  
2019 ◽  
Vol 5 (2) ◽  
pp. 45
Author(s):  
Vladimir Shevchenko

In this paper, we discuss the quantum Unruh–DeWitt detector, which couples to the field bath for a finite amount of its proper time. It is demonstrated that due to the renormalization procedure, a new dimensionful parameter appears, having the meaning of a detector’s recovery proper time. It plays no role in the leading order of the perturbation theory, but can be important non-perturbatively. We also analyze the structure of finite time corrections in two cases—perturbative switching on, and switching off when the detector is thermalized.


Author(s):  
C. H. Wu ◽  
Andrew Van Horn

Four new fundamental nonlocal quantum computing diagonal operator-state relations are derived which model the interaction between two adjacent atoms of an entangled atomic chain. Each atom possesses four eigen-states. These relations lead to four momentum-space cyclic transformations and are used as the computation states in one-dimensional cellular automaton. Four interacting half-observable periodic planar states appear with the same Poincare cycle. Due to the space-time rotational symmetry of these operator-state relations, a new type of periodic spherical state can be constructed consisting of eight finite space-time quadrants as the special quantum computing result.


1961 ◽  
Vol 13 ◽  
pp. 1-18 ◽  
Author(s):  
I. E. Segal

The notion of quantum field remains at this time still rather elusive from a rigorous standpoint. In conventional physical theory such a field is defined in essentially the same way as in the original work of Heisenberg and Pauli (1) by a function ϕ(x, y, z, t) on space-time whose values are operators. It was recognized very early, however, by Bohr and Rosenfeld (2) that, even in the case of a free field, no physical meaning could be attached to the values of the field at a particular point—only the suitably smoothed averages over finite space-time regions had such a meaning. This physical result has a mathematical counterpart in the impossibility of formulating ϕ(x, y, z, t) as a bona fide operator for even the simplest fields (in any fashion satisfying the most elementary non-trivial theoretical desiderata), while on the other hand for suitable functions f, the integral ∫ϕ(x, y, zy t)f(x, y, z, t)dxdydzdt could be so formulated.


2006 ◽  
Vol 27 (2-3) ◽  
pp. 359-362 ◽  
Author(s):  
E. Molnár ◽  
L.P. Csernai ◽  
V.K. Magas

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