Neutrinos and the arrow of time in cosmology

Hogarth’s approach to the time-symmetric electrodynamics of Wheeler & Feynman is extended to apply to the neutrinos. It is shown that in some cosmological models neutrinos travelling both into the past and the future exist whereas in others only those going into the the future can exist. The Einstein-de Sitter and the steady-state models are the respective examples of the two cases. An interesting way of testing the various cosmologies by means of neutrino emitters and receivers is suggested.

This paper seeks to establish a connexion between the local arrow of time given by the electromagnetic radiation and the cosmological arrow of time given by the expansion of the universe. The Wheeler-Feynman absorber theory of radiation is applied to the expanding cosmological models. First, it is shown that the Schwarzschild-Tetrode-Fokker principle of direct interparticle action can be extended to the general Riemannian space-time. This generalization is considerably simplified in the conformally flat spaces—as all the Robertson—Walker spaces are. In the application of the absorber theory to various cosmological models, the refractive index turns out to play a crucial part. The ambiguities connected with the sign of the imaginary part of the refractive index are resolved if two conditions are fulfilled: (i) a search is made for a self-consistent solution with full retarded (or advanced) solutions (ii) in an elementary theory the origin of the imaginary part of the refractive index is traced to the radiative reaction itself and not to the collisional damping considered by Hogarth. It is shown that full retarded solutions are consistent in the steady-state cosmology and full advanced solutions in the Einstein-de Sitter cosmology. Full advanced solutions are not consistent in the former and full retarded solutions in the latter. Some interesting implications of this result in the C -field approach to the steady-state cosmology are considered.


1972 ◽  
Vol 25 (2) ◽  
pp. 207 ◽  
Author(s):  
DT Pegg

In conventional electrodynamic theory, the advanced potential solution of Maxwell's equations is discarded on the ad hoc basis that information can be received from the past only and not from the future. This difficulty is overcome by the Wheeler?Feynman absorber theory, but unfortunately the existence of a completely retarded solution in this theory requires a steady-state universe. In the present paper conventional electrodynamics is used to obtain a condition which, if satisfied, allows information to be received from the past only, and ensures that the retarded potential is the only consistent solution. The condition is that a function Ua of the future structure of the universe is infinite, while the corresponding function Ur of the past structure is finite. Of the currently acceptable cosmological models, only the steady-state, the open big-bang, and the Eddington-Lema�tre models satisfy this condition. In these models there is no need for an ad hoc reason for the preclusion of advanced potentials.


2000 ◽  
pp. 33-37 ◽  
Author(s):  
M.M. Cirkovic

This study in the philosophy of cosmology is a part of an ongoing effort to investigate and reassess the importance of the anthropic (Davies-Tipler) argument against cosmologies containing the past temporal infinity. Obviously the prime targets of this argument are cosmological models stationary on sufficiently large scale, the classical steady state model of Bondi, Gold and Hoyle being the best example. Here we investigate the extension of application of this argument to infinitely old non-stationary models and discuss additional constraints necessary to be imposed on such models for the edge of the anthropic argument to be preserved. An illustrative counterexample is the classical Eddington-Lemaitre model, in the analysis of which major such constraints are presented. Consequences of such an approach for our understanding of the nature of time are briefly discussed.


2018 ◽  
Vol 20 (08) ◽  
pp. 1750059 ◽  
Author(s):  
Luis J. Alías ◽  
Verónica L. Cánovas ◽  
Marco Rigoli

We study codimension two trapped submanifolds contained into one of the two following null hypersurfaces of de Sitter spacetime: (i) the future component of the light cone, and (ii) the past infinite of the steady state space. For codimension two compact spacelike submanifolds in the light cone we show that they are conformally diffeomorphic to the round sphere. This fact enables us to deduce that the problem of characterizing compact marginally trapped submanifolds into the light cone is equivalent to solving the Yamabe problem on the round sphere, allowing us to obtain our main classification result for such submanifolds. We also fully describe the codimension two compact marginally trapped submanifolds contained into the past infinite of the steady state space and characterize those having parallel mean curvature field. Finally, we consider the more general case of codimension two complete, non-compact, weakly trapped spacelike submanifolds contained into the light cone.


Quantum ◽  
2021 ◽  
Vol 5 ◽  
pp. 520
Author(s):  
Andrea Di Biagio ◽  
Pietro Donà ◽  
Carlo Rovelli

The operational formulations of quantum theory are drastically time oriented. However, to the best of our knowledge, microscopic physics is time-symmetric. We address this tension by showing that the asymmetry of the operational formulations does not reflect a fundamental time-orientation of physics. Instead, it stems from built-in assumptions about the users of the theory. In particular, these formalisms are designed for predicting the future based on information about the past, and the main mathematical objects contain implicit assumption about the past, but not about the future. The main asymmetry in quantum theory is the difference between knowns and unknowns.


Author(s):  
Roger Penrose ◽  
Martin Gardner

Central to our feelings of awareness is the sensation of the progression of time. We seem to be moving ever forward, from a definite past into an uncertain future. The past is over, we feel, and there is nothing to be done with it. It is unchangeable, and in a certain sense, it is ‘out there’ still. Our present knowledge of it may come from our records, our memory traces, and from our deductions from them, but we do not tend to doubt the actuality of the past. The past was one thing and can (now) be only one thing. What has happened has happened, and there is now nothing whatever that we, nor anyone else can do about it! The future, on the other hand, seems yet undetermined. It could turn out to be one thing or it could turn out to be another. Perhaps this ‘choice’ is fixed completely by physical laws, or perhaps partly by our own decisions (or by God); but this ‘choice’ seems still there to be made. There appear to be merely potentialities for whatever the ‘reality’ of the future may actually resolve itself to be. As we consciously perceive time to pass, the most immediate part of that vast and seemingly undetermined future continuously becomes realized as actuality, and thus makes its entry into the fixed past. Sometimes we may have the feeling that we even have been personally ‘responsible’ for somewhat influencing that choice of particular potential future which in fact becomes realized, and made permanent in the actuality of the past. More often, we feel ourselves to be helpless spectators - perhaps thankfully relieved of responsibility - as, inexorably, the scope of the determined past edges its way into an uncertain future. Yet physics, as we know it, tells a different story. All the successful equations of physics are symmetrical in time. They can be used equally well in one direction in time as in the other. The future and the past seem physically to be on a completely equal footing. Newton’s laws, Hamilton’s equations, Maxwell’s equations, Einstein’s general relativity, Dirac’s equation, the Schrödinger equation - all remain effectively unaltered if we reverse the direction of time.


Author(s):  
Alexandre Harvey-Tremblay

Consistent with special relativity and statistical physics, here we construct a partition function of space-time events. The union of these two theories resolves longstanding problems in regards to time. It augments the standard description of time given by the (non-relativistic) arrow of time to one able to show the emergence of three macroscopic regimes of time: the past, the present, and the future, represented by space-like entropy, light-like entropy, and time-like entropy, respectively, and in a manner consistent with our experience of said regimes. First, using Fermi-Dirac statistics, we find that the system essentially describes a "waterfall" of space-time events. This "waterfall" recedes in space-time at the speed of light towards the direction of the future as it "floods" local space with events that it depletes from the past. In this union, an observer O will perceive two horizons that can be interpreted as hiding events behind it. The first is an event horizon, and its entropy hides events in the regions that O cannot see. The second is a time horizon, and its entropy "shields" events from O's causal influence. As only past events are "shielded", and not future events, an asymmetry in time is thus created. Finally, future events are hidden by an entropy prohibiting O from knowing the future before the present catches on.


Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan

This chapter discusses the laws governing the evolution of the scale factor as well as Hubble’s law, which is historically the first observational signature of cosmic expansion. Hubble’s law relates two measurable quantities, the redshift and the luminosity distance of a galaxy. The chapter also introduces the Weyl postulate (1923), which stipulates that the ‘cosmological fluid’ consisting of galaxies, quasars, and so on, visible or invisible, follows such geodesics. It then presents the Friedmann–Lemaître equations. Finally, the chapter discusses the first models of the universe, from 1917–60: the static Einstein model and the de Sitter and steady state models.


Author(s):  
Alexandre Harvey-Tremblay

Consistent with special relativity and statistical physics, here we construct a partition function of space-time events. The union of these two theories resolves longstanding problems regarding time. We will argue that it augments the standard description of time given by the (non-relativistic) arrow of time to one able to describe the past, the present and the future in a manner consistent with our macroscopic experience of such. First, using Fermi-Dirac statistics, we find that the system essentially describes a "waterfall" of space-time events. This "waterfall" recedes in space-time at the speed of light towards the direction of the future as it "floods" local space with events that it depletes from the past. In this union, an observer $\mathcal{O}$ will perceive two horizons that can be interpreted as hiding events behind them. The first is an event horizon and its entropy hides events in the regions that $\mathcal{O}$ cannot see. The second is a time horizon, and its entropy "shields" events from $\mathcal{O}$'s causal influence. As only past events are "shielded" and not future events, an asymmetry in time is thus created. Finally, future events are hidden by an entropy prohibiting $\mathcal{O}$ from knowing the future before the present catches on.


2019 ◽  
Vol 28 (14) ◽  
pp. 1944019 ◽  
Author(s):  
K. Narayan

We describe connected timelike codim-2 extremal surfaces stretching between the future and the past boundaries in the static patch coordinatization of de Sitter space. These are analogous to rotated versions of certain surfaces in the AdS black hole. The existence of these surfaces via the [Formula: see text] framework suggests the speculation that [Formula: see text] is dual to two copies of ghost-like CFTs in a thermofield-double-type entangled state. In studies of entanglement in ghost systems and “ghost-spin” chains, we show that similar entangled states in two copies of ghost-spin ensembles always have positive norm and positive entanglement.


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