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The Chest of Time

Particle-Wave Duality: from Time Confinement to Space Transcendence

Mohamed Haj Yousef

1.6 Time in Modern Physics

Quantum Field Theory and General Relativity are the most well-established modern fundamental theories of physics. According to these theories, space-time is a collection of points called “space-time locations” where physical events occur. However, space-time is considered a four-dimensional continuum, with physical time being a distinguished, one-dimensional sub-space of this continuum, but no longer a separate entity nor space: space and time are always taken together as one entity.

In 1908, Einstein’s teacher, the mathematician Hermann Minkowski, was the first to realize that space-time is more fundamental than time or than space alone. As he put it:

The views of space and time which I wish to lay before you have sprung from the soil of experimental physics, and therein lies their strength. They are radical. Henceforth space by itself and time by itself are doomed to fade away into mere shadows, and only a kind of union of the two will preserve an independent reality. (Pais 1982: 152)  The metaphysical assumption behind Minkowski’s remark is that what is independently real is what does not vary from one reference frame to another. It follows that the division of events into the past ones, the present ones, and the future ones is also not independently real.

In contrary to the classical Newtonian view, time intervals depend greatly on the observer’s frame of reference. In classical mechanics, and based on common sense, if the time interval between two lightning flashes is 100 seconds on someone’s clock, then the interval also is 100 seconds on your clock, even if you are flying by at an incredible speed. Einstein rejected this piece of common sense in his 1905 special theory of relativity when he declared that the time interval (and the distance) between two events depends on the observer’s reference frame. He says that every reference-body has its own particular time; unless we are told the reference-body to which the statement of time refers, there is no meaning in a statement of the time of an event (Einstein 1920: ch. 9). Thus each reference frame (or reference-body) divides space-time differently into its time part and its space part.

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