scholarly journals Gravitational decoherence: A general nonrelativistic model

2021 ◽  
Vol 103 (10) ◽  
Author(s):  
L. Asprea ◽  
G. Gasbarri ◽  
A. Bassi
Keyword(s):  
Nonrelativistic Model

Nonrelativistic Model of Hadrons as Bound States ofNFermions

1969 ◽  
Vol 184 (5) ◽  
pp. 1510-1522
Author(s):  
Peter L. Wimmer
Keyword(s):  
Bound States ◽  
Nonrelativistic Model

scholarly journals TIME MACHINES AND THE PRINCIPLE OF SELF-CONSISTENCY AS A CONSEQUENCE OF THE PRINCIPLE OF STATIONARY ACTION (II): THE CAUCHY PROBLEM FOR A SELF-INTERACTING RELATIVISTIC PARTICLE

1996 ◽  
Vol 05 (05) ◽  
pp. 445-479 ◽  
Author(s):  
A. CARLINI ◽  
I.D. NOVIKOV
Keyword(s):  
Equations Of Motion ◽  
Cauchy Data ◽  
Classical Action ◽  
Minimal Action ◽  
Nonrelativistic Model ◽  
Self Consistent ◽  
The Cauchy Problem ◽  
Stationary Action ◽  
Ill Posed ◽  
Self Consistency

We consider the action principle to derive the classical, relativistic motion of a selfinteracting particle in a 4D Lorentzian spacetime containing a wormhole and which allows the existence of closed time-like curves. In particular, we study the case of a pointlike particle subject to a “hard-sphere” self-interaction potential and which can traverse the wormhole an arbitrary number of times, and show that the only possible trajectories for which the classical action is stationary are those which are globally self-consistent. Generically, the multiplicity of these trajectories (defined as the number of self-consistent solutions to the equations of motion beginning with given Cauchy data) is finite, and it becomes infinite if certain constraints on the same initial data are satisfied. This confirms the previous conclusions (for a nonrelativistic model) by Echeverria, Klinkhammer and Thorne that the Cauchy initial value problem in the presence of a wormhole “time machine” is classically “ill-posed” (far too many solutions). Our results further extend the recent claim by Novikov et al. that the “principle of self-consistency” is a natural consequence of the “principle of minimal action.”

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