scholarly journals Sand Clock and The Concept of Time in Einstein’s Theory of Relativity

2021 ◽  
Vol 5 (1) ◽  
pp. 34-35
Author(s):  
Waria O. Amin

The sand clock is a device used to measure time, consisting of two conical glass bulbs, which are connected vertically by a small opening neck. The top contains grains of fine dry sand. The upper part symbolizes the future,   sand passes through the neck (which indicates present) to the lower part which turned past. In 1907, German scientist Hermann Minkowski (1864-1909) interpreted the concept of the four-dimensional space-time of Einstein's theory in a two-dimensional cone diagram, in which the upper cone symbolizes the future, the neck the present and the lower part the past.  The researcher has noticed a great likeness, to the point of congruence between the shape and function of both, the sand clock and the diagram. This resemblance aroused speculations that Hermann Minkowski had been inspired by the sand hour in drawing his diagram. It cannot be attributed to a merely chance.

2009 ◽  
Vol 18 (04) ◽  
pp. 599-611 ◽  
Author(s):  
ALFRED MOLINA ◽  
NARESH DADHICH

By considering the product of the usual four-dimensional space–time with two dimensional space of constant curvature, an interesting black hole solution has recently been found for Einstein–Gauss–Bonnet gravity. It turns out that this as well as all others could easily be made to radiate Vaidya null dust. However, there exists no Kerr analog in this setting. To get the physical feel of the four-dimensional black hole space–times, we study asymptotic behavior of stresses at the two ends, r → 0 and r → ∞.


1984 ◽  
Vol 62 (7) ◽  
pp. 632-638
Author(s):  
J. G. Williams

The exact solution of the Feynman checkerboard model is given both in terms of the hypergeometric series and in terms of Jacobi polynomials. It is shown how this leads, in the continuous limit, to the Dirac equation in two-dimensional space-time.


2021 ◽  
pp. 149-183
Author(s):  
Thom Dancer

David Mitchell’s fiction provides an opportunity to reconsider the claims of modesty in the context of globalization. This chapter draws upon the arguments of the previous ones to put critical modesty to its most difficult test. Are minor achievements enough given the massive scale of planetary life and of urgent global problems facing humanity, not the least of which is environmental ruin? I argue that Mitchell’s novels directly face the problems of scaling that cast into doubt the place and function of the novel as a relevant cultural force in the twenty-first century and beyond. Mitchell’s work helps us to reconcile realism as a kind of modest speculation. Where the novel has long been understood as a form that easily scales from the local to the global, Mitchell emphasizes the discontinuity afforded by novelistic thinking. The efficient causality that has subtended literary realism aims to retroactively recreate the events that lead inevitably from the past to the future. Mitchell’s formal investment in discontinuity resists the tyranny of the inevitable by narrating moments of bifurcation in which a new possibility for action suddenly and unexpectedly emerges. Thus, his novels adopt an inefficient causality that give expression to the feeling that things might be different than they are, that inevitability (optimistic or pessimistic) is a dangerous trap. The challenge that Mitchell poses for himself and other novelists is to imagine a disposition modest enough to nurture and shepherd into being these moments of bifurcation when, by definition, there is nothing in the prior state that predicts them.


Author(s):  
Heather Dyke

Perhaps the most important dispute in the metaphysics of time is over the passage of time. There are two basic metaphysical theories of time in this dispute. There is the A-theory of time, according to which the common sense distinction between the past, present and future reflects a real ontological distinction, and time is dynamic: what was future, is now present and will be past. Then there is the B-theory of time, according to which there is no ontological distinction between past, present and future. The fact that we draw this distinction in ordinary life is a reflection of our perspective on temporal reality, rather than a reflection of the nature of time itself. A corollary of denying that there is a distinction between past, present and future is that time is not dynamic in the way just described. The A-theory is also variously referred to as the tensed theory, or the dynamic theory of time. The B-theory is also referred to as the tenseless theory, or the static, or block universe theory of time. The A-theory comes in various forms, which take differing positions on the ontological status granted to the past, present and future. According to some versions, events in the past, present and future are all real, but what distinguishes them is their possession of the property of pastness, presentness or futurity. A variation of this view is that events are less real the more distantly past or future they are. Others hold that only the past and present are real; the future has yet to come into existence. Still others, presentists, hold that only the present is real. Events in the past did exist, but exist no longer, and events in the future will exist, but do not yet exist. According to the B-theory, all events, no matter when they occur, are equally real. The temporal location of an event has no effect on its ontological status, just as the spatial location of an event has no effect on its ontological status, although this analogy is controversial. The A-theory has a greater claim to being the theory that reflects the common sense view about time. Consequently, the burden of proof is often thought to be on the B-theorist. If we are to give up the theory of time most closely aligned with common sense, it is argued, there must be overwhelming reasons for doing so. However, the A-theory is not without its problems. McTaggart put forward an argument that an objective passage of time would be incoherent, so any theory that requires one cannot be true. The A-theory also appears to be, prima facie, inconsistent with the special theory of relativity, a well-confirmed scientific theory. Although the B-theory is less in line with common sense than the A-theory, it is more in line with scientific thinking about time. According to the special theory of relativity, time is but one dimension of a four-dimensional entity called spacetime. The B-theory sees time as very similar to space, so it naturally lends itself to this view. However, it faces the problem of reconciling itself with our ordinary experience of time. Because the two theories about time are mutually exclusive, and are also thought to exhaust the possible range of metaphysical theories of time, arguments in favour of one theory often take the form of arguments against the other theory. If there is a good reason for thinking that the A-theory of time is false, then that is equally a good reason for thinking that the B-theory of time is true, and vice versa.


Author(s):  
Demetris Nicolaides

Heraclitus declares the being (that which exists, nature) but identifies it with becoming, but Parmenides declares just the Being; only what is, is, what is not, is not. All “follows” from that: change, he argues, is logically impossible and so what is, is one and unchangeable! This dazzling absolute monism is in daring disagreement with sense perception, but curiously it has found a well-known genius as a supporter. Emboldened by his theory of relativity, Einstein considers the universe as a four-dimensional “block” (a space-time continuum like a loaf of bread) which, remarkably, contains all moments of time (of past, present, and future) always, and where change is an illusion. He said, “For we convinced physicists, the distinction between past, present, and future is only an illusion, however persistent.” In the block universe, the past is not gone, it is present; and the future, like the present, is, well, present, too.


Universe ◽  
2020 ◽  
Vol 6 (9) ◽  
pp. 144
Author(s):  
Jan-Willem van Holten

This paper addresses the fate of extended space-time symmetries, in particular conformal symmetry and supersymmetry, in two-dimensional Rindler space-time appropriate to a uniformly accelerated non-inertial frame in flat 1+1-dimensional space-time. Generically, in addition to a conformal co-ordinate transformation, the transformation of fields from Minkowski to Rindler space is accompanied by local conformal and Lorentz transformations of the components, which also affect the Bogoliubov transformations between the associated Fock spaces. I construct these transformations for massless scalars and spinors, as well as for the ghost and super-ghost fields necessary in theories with local conformal and supersymmetries, as arising from coupling to two-dimensional (2-D) gravity or supergravity. Cancellation of the anomalies in Minkowski and in Rindler space requires theories with the well-known critical spectrum of particles that arise in string theory in the limit of infinite strings, and it is relevant for the equivalence of Minkowski and Rindler frame theories.


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