Aggregates, exponents and the smallest thing

All the theories of everything assume no empty space, everywhere one can subdivide the universe into the smallest thing. The smallest thing can be a string, a geodesic, a bubble or a three bean salad. But there is no space between the things, they are congested. Thus being finite things and congested, there exists the uncongested, by definition. The smallest things must exchange vibration modes, swap places, change their overlap, or do something.  These are the givens.

The lack of empty space means no infinite subdivision of empty space that can carry fields. Field theory is gone.  That also means mass, as we once knew it is gone.  All of that is replaced with the principle of maximum entropy, or its complement, minimum redundancy.  The idea is to separate  the modes of exchange across a surface of minimum congestion.  And, given the lack of fields, then we have dimensionality of exchange.

So, in these models we get aggregates, b^n, some base taken to the nth power gives us the count of things, and the exponent becomes the mode of exchange.  Across a surface of optimal congestion, the exponent is negative to one side and positive to the other, or the surface of optimum congestion is ground, in electrical terms. This is an imposed standard.

Then the -ilog(i) applies on either side of the surface.  Group theory and mass theory tells us that there exists an exponent which is the least congested mode, and it will not initiate an exchange.  The mix of these exchanges and nulls, along with the higher and lower exponents, gives  us the probability of occurrence. 

Now someone proposed the overlapping bubble, and that one is interesting. I like it because we can propose the surface of optimal congestion as a surface in which negative exponents push in and positive exponents push out. The existance of the null bubble, the one that does not exchange, makes the balance between the negative exponents and the positive.  The Null bubble can be exchange but it does not commute the exchange at any time. The positive exponents can have the greater effect, but be less dense, and the negative exponents can counteract their effect on the surve but be more dense.  Density is relative to the concentration the null bubble. But the null bubble allows us to equalize each count positive exponents with a corresponding count of negative and adjust probability to equalize the size of the effect. The Null bubble is mass.

So, the theories manage aggregates and dimensionality, they scale up as fractals, they have almost dual networks across the surface and provide lines of symmetry for Lebesque and Ito. And, most importantly, they do log add and eliminate the multiply problem. The better way to go in physics.