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):  
Space Time ◽  
Finite Space

scholarly journals Causality constraints on hadron production in high energy collisions

2014 ◽  
Vol 23 (04) ◽  
pp. 1450019 ◽  
Author(s):  
Paolo Castorina ◽  
Helmut Satz
Keyword(s):  
Baryon Number ◽  
Heavy Ion ◽  
High Energy ◽  
Hadron Production ◽  
Space Time ◽  
Horizon Problem ◽  
Ion Interactions ◽  
Quantum Numbers ◽  
High Energy Collisions ◽  
Finite Space

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.

DIMENSION OF SPACE-TIME

1986 ◽  
Vol 01 (04) ◽  
pp. 971-990 ◽  
Author(s):  
KARL SVOZIL ◽  
ANTON ZEILINGER
Keyword(s):  
Field Theory ◽  
Relativistic Quantum ◽  
Space Time ◽  
Quantum Field ◽  
Relativistic Quantum Field Theory ◽  
Real Experiment ◽  
Electromagnetic Moment ◽  
Theoretical Predictions ◽  
Finite Space ◽  
Operational Dimension

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.

A kinetic equation for unstable plasmas in a finite space-time domain

2008 ◽  
Vol 15 (9) ◽  
pp. 092111 ◽  
Author(s):  
S. D. Baalrud ◽  
J. D. Callen ◽  
C. C. Hegna
Keyword(s):  
Kinetic Equation ◽  
Time Domain ◽  
Space Time ◽  
Finite Space

scholarly journals Quantum Measurements in a Finite Space–Time Domain

Universe ◽  
2019 ◽  
Vol 5 (2) ◽  
pp. 45
Author(s):  
Vladimir Shevchenko
Keyword(s):  
Perturbation Theory ◽  
Time Domain ◽  
Finite Time ◽  
Proper Time ◽  
Space Time ◽  
Quantum Measurements ◽  
Leading Order ◽  
Renormalization Procedure ◽  
Finite Amount ◽  
Finite Space

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.

scholarly journals Nonlocal quantum computing theory and Poincare cycle in spherical states

2021 ◽  
pp. 2150027
Author(s):  
C. H. Wu ◽  
Andrew Van Horn
Keyword(s):  
Quantum Computing ◽  
Rotational Symmetry ◽  
Space Time ◽  
One Dimensional ◽  
New Type ◽  
Nonlocal Quantum ◽  
Finite Space ◽  
State Relations ◽  
Spherical State ◽  
Poincaré Cycle

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.

Foundations of the Theory of Dynamical Systems of Infinitely Many Degrees of Freedom, II

1961 ◽  
Vol 13 ◽  
pp. 1-18 ◽  
Author(s):  
I. E. Segal
Keyword(s):  
Degrees Of Freedom ◽  
Physical Theory ◽  
Original Work ◽  
Free Field ◽  
Space Time ◽  
The Other ◽  
Quantum Field ◽  
Bona Fide ◽  
Finite Space ◽  
Physical Result

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.

scholarly journals Covariant Kinetic Freeze-out Description through a Finite Space-Time Layer

2006 ◽  
Vol 27 (2-3) ◽  
pp. 359-362 ◽  
Author(s):  
E. Molnár ◽  
L.P. Csernai ◽  
V.K. Magas
Keyword(s):  
Space Time ◽  
Time Layer ◽  
Finite Space ◽  
Freeze Out
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