......
......Events happening at the
same time are called simultaneous, and we can think of simultaneity itself
or the simultaneity of its registers by an observer. Events happening
simultaneously can manifest themselves to an observer at different times,
depending on the spatial-temporal position of the latter; and events
happening simultaneously might have occurred at different times.
......From a strict point of
view, location means the space occupied by an object at a given moment,
ant this is the connotation this paper is going to use. In a Broader
sense, location implies a neighborhood.
......A material object
manifests itself to an observer through its various properties, usually
associated to events related to its structure. Manifestation from a
distance happens through mediation by agents which are not always well
known. A given event can manifest itself from a distance through light, a
gravitational field, an electic field, etc. In the case of long material
objects, events can be thought as clusters of shorter events or even of
infinitesimal or punctuate events. As each one of these micro-events
happen ¾at
a given moment¾
in different locations, their register by an observer does not usually the
local conditions of simultaneity. For example, light simultaneously cast
by two atoms of the same object can reach the same observer at different
moments. That is, the location of casting agents in relationship to the
location of the receiving agent affects the register of the comparative
temporal character (simultaneous or not) by the receiving agent.
......We usually get to know
about the existence of an object thanks to the light it reflects or throws
out. From this point of view, what we actually see is the image of a
recent past and the closer to present the smaller the distance between us
and the considered object. For farther objects such as the sun this time
assumes measurable proportions. It is often said that any anomaly we can
spot on the surface of the sun is only observed on earth 8 minutes after
it occurs. In the solar system the nearest star is over 4 years-light from
us, which means the image we get from it was generated over 4 years ago.
And we often read in the papers news about the discovery of new quasar
which existed as such billions of years ago: could it be observed today,
it would show us a totally different reality.
......This paper will show
how we have to take into consideration such an effect in order to be able
to go on using Euclidian geometry in physics, particularly in the study of
phenomena in which both the observed object and the observer are mutually
moving.
