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The scientists have published their article in a recent issue of Physics Essays.
The work builds on their previous articles, in which they have investigated the definition of time as a numerical order of material change. The main concepts of special relativity - that the speed of light is the same in all inertial reference frames, and that there is no absolute reference frame - are traditionally formulated within the framework of Minkowski spacetime.
They say that, keeping the photon speed the same for both clocks, both clocks should tick at the same rate with no length contraction for clock A.
They mathematically demonstrate how to resolve the problem in this way by replacing Minkowski 4D spacetime with a 3D space involving Galilean transformations for three spatial coordinates X, Y, and Z, and a mathematical equation (Selleri's formalism) for the transformation of the velocity of material change, which is completely independent of the spatial coordinates.
The rate of photon clocks in faster inertial systems will not slow down with regard to the photon clocks in a rest inertial system because the speed of light is constant in all inertial systems, he said.
The rate of atom clocks will slow down because the 'relativity' of physical phenomena starts at the scale of pi mesons. He also explained that, without length contraction, time dilation exists but in a different way than usually thought.
Light clocks A and B moving horizontally through space.
Time is 'separated' from space in a sense that time is not a fourth dimension of space.
When the platform is moved horizontally at a high speed, then according to the length contraction phenomenon in 4D spacetime, clock A should shrink so that its photon has a shorter path to travel, causing it to tick faster than clock B.
But Sorli and Fiscaletti argue that the length contraction of clock A and subsequent difference in the ticking rates of clocks A and B do not agree with special relativity, which postulates that the speed of light is constant in all inertial reference frames.
In a new study, scientists argue that there is no length contraction, and both clocks should tick at the same rate in accordance with special relativity. (Phys.org) -- Philosophers have debated the nature of time long before Einstein and modern physics.
But in the 106 years since Einstein, the prevailing view in physics has been that time serves as the fourth dimension of space, an arena represented mathematically as 4D Minkowski spacetime.