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## Main Question or Discussion Point

One of the great theories of physics is the theory of special relativity.

This theory is based on two concepts: -

1. The speed of light is constant.

2. The laws of physics are the same in any inertial frame, regardless of position or velocity

Given the validity of these concepts and a little analysis of their implications we can conclude that natural space-time is not Euclidian. By that we mean that when time is taken into consideration the theorem of Pythagoras does not apply. The square of the interval between two events is given by: -

Delta s^2 =Delta X^2 + Delta Y^2 + Delta Z^2 - Delta cT^2

This equation is known as the Minkowski metric.

The important distinction between this equation and the Pythagorean equivalent is the presence of the minus sign in front of the T term. If the geometry of the real world was Euclidian then this would be a plus sign. This is a very important result from special relativity and gives space-time characteristics which are not predictable through our normal intuitive view of the world.

One such characteristic is the path of light beam. When light radiates out from a light source the path i, when represented on a space-time diagram, forms a cone known as a light cone. The curious thing is when we try to represent a light cone in the geometry defined by the Minkowski metric; it collapses to a single point. In the real world geometry the light hasn’t gone anywhere. The light energy is instantaneous transferred from one place in the universe to somewhere else without experiencing any time or traversing any distance. The light cone has collapsed to the source In Minkowski space-time everything on the surface of the light cone must be contiguous (next to) with each other. The location of the light source contains not only the source itself but the entire contents of the perceived surface of the light cone radiating from it; both future and past. The source is therefore a microcosm of everything existing on the light cone.

But this not all! Light cones radiating out from any location in space-time must always intersect each other. This means there are zero interval paths connecting everything that has happened, everything that is happening, and every thing that will happen. Making every event a microcosm of the whole of creation.

This begs the question if this was true then why do we experience space and time and why doesn’t everything happen at once? From the perspective of The Minkowski geometry the universe is just there and does not experience the evolution of time. Time seems to be a subjective experience and depends amongst other things on the state of motion of the observer. Although the entire world seems connected by zero interval paths, there are many other paths in the world which have finite extensions and an observer is limited to travelling these, we are forbidden to travel along a zero interval path; to do so would require infinite energy.

This theory is based on two concepts: -

1. The speed of light is constant.

2. The laws of physics are the same in any inertial frame, regardless of position or velocity

Given the validity of these concepts and a little analysis of their implications we can conclude that natural space-time is not Euclidian. By that we mean that when time is taken into consideration the theorem of Pythagoras does not apply. The square of the interval between two events is given by: -

Delta s^2 =Delta X^2 + Delta Y^2 + Delta Z^2 - Delta cT^2

This equation is known as the Minkowski metric.

The important distinction between this equation and the Pythagorean equivalent is the presence of the minus sign in front of the T term. If the geometry of the real world was Euclidian then this would be a plus sign. This is a very important result from special relativity and gives space-time characteristics which are not predictable through our normal intuitive view of the world.

One such characteristic is the path of light beam. When light radiates out from a light source the path i, when represented on a space-time diagram, forms a cone known as a light cone. The curious thing is when we try to represent a light cone in the geometry defined by the Minkowski metric; it collapses to a single point. In the real world geometry the light hasn’t gone anywhere. The light energy is instantaneous transferred from one place in the universe to somewhere else without experiencing any time or traversing any distance. The light cone has collapsed to the source In Minkowski space-time everything on the surface of the light cone must be contiguous (next to) with each other. The location of the light source contains not only the source itself but the entire contents of the perceived surface of the light cone radiating from it; both future and past. The source is therefore a microcosm of everything existing on the light cone.

But this not all! Light cones radiating out from any location in space-time must always intersect each other. This means there are zero interval paths connecting everything that has happened, everything that is happening, and every thing that will happen. Making every event a microcosm of the whole of creation.

This begs the question if this was true then why do we experience space and time and why doesn’t everything happen at once? From the perspective of The Minkowski geometry the universe is just there and does not experience the evolution of time. Time seems to be a subjective experience and depends amongst other things on the state of motion of the observer. Although the entire world seems connected by zero interval paths, there are many other paths in the world which have finite extensions and an observer is limited to travelling these, we are forbidden to travel along a zero interval path; to do so would require infinite energy.