Friday, November 11, 2011

On "The Fabric of the Cosmos" on PBS

This is a rough idea that came to mind as I watched "The Fabric of the Cosmos" on PBS.  I haven't really fleshed out these thoughts into full paragraphs and haven't done any of the maths to fit the ideas to a framework.



Think of a Time Potential as driving the arrow of time in the direction we think of as forward. At the Start of the Universe there is the greatest Time Potential.

Think of the Fabric of Space as conducting time like a wire conducts electricity.

Two ideas,
  • the more space there is the more time can flow (time is space constrained)
  • there is a point where time can flow no faster (time is potential constrained)

Eventually the time potential degrades or is used up so that the maximum flow of time slows. As all this time flows the motion or expansion of space continues.

At beginning limited amount of space constrains flow of time so that motion of and in space has higher relative speed.  As space expands to the point time can reach maximum flow the relative motion of and in space reaches a fairly constant lower speed.  But, over vast stretches of space and time the strength of the time potential decreases and the relative speed of space increases again.

As an exercise draw a graph of time on the vertical axis and 3-space on the horizontal.  The height of the time axis is constrained by the combination of the time potential and the maximum flow of time.  At a high time potential but small space the height is low due to low conductivity of time.  At a low time potential and vast space the height of time is again low due to the limited potential of time.  At some "sweet spot" there is enough space to allow maximum flow and the time potential is still high so the time axis is tallest.

Now measure the motion in and of space on the horizontal axis and in time by this rate of time flow.  Standing still will have the highest time value in the sweet spot and lower on the other graphs.  Any motion in space will also reduce the time value as some of the motion vector is diverted to 3-space.

Looking at the graph of the expansion of the universe there will be high relative motion at the point where time is constrained by how fast time can flow and lower relative motion where time can flow the fastest.  As we move deeper in forward time (the future) the time potential decreases so the relative motion of the expansion of space will be higher as time flows slower.  The universe will accelerate its expansion relative to time.

Think of motion not as distance covered but the vector of motion.  Within the universe we are constrained by the speed of light, which is constant relative to time.  But the universe as a unit is not so constrained and the expansion will continue with it's vector and higher values relative to time as the time potential decreases.  The total weight (mass and energy) of the universe may be constant, but the effect of gravity decreases with distance so the expansion isn't necessarily slowed by gravity.

Ideas to explore: Is time potential even across the universe or spotty so that some parts hold onto a greater potential and other parts lose potential quicker, that is, is the conductivity of time constant?  Is the time potential the dark energy?  So what is dark matter?  What values do we use for the time vector relative do the 3-space vector? 



Smart people have probably already thought about this and dismissed the ideas, but I don't know enough to know if this is just silly conjecture.  I just wanted to make a record of these thoughts.

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