Given a surface undergoing motion in free space, what will it do?  Following, this is illustrated, starting with a surface  perfectly flat at t₀ (a unique condition) and moving with a motion as shown (dashed), through a sequence of uniform intervals after t₀.  At each given interval, the surface is shown to be solid, except at t₁, where it is shown to be dashed.  Here, at t₁, both the surface's position and distribution of motion are visually coincident to the observer.  As a matter of convention, only its motion is shown, its position understood to be the same, otherwise had its position be drawn solid, its distribution of motion (dashed) would be masked by this solid line.

Here we see the surface as it moves through a position approximately equivalent to t₂.

If the surface is unable to undergo interchange with other surfaces, it will eventually move to position t₈ where it undergo auto-convolution. When this happens, the surface appears as a button whose diameter is about four times larger than its original simple wave diameter.

Along the line of non-definity (a closed loop not necessarily round or oblong), where the bottom side of the bottom touches the exterior region of the original surface  the surface may or may not undergo interchange with itself.  If interchange does not occur, the surface will pass through itself, its motion now in the opposite direction than the original simple wave.  If interchange occurs, the surface will literally bounce off itself, causing its exterior portions to move in the opposite direction than the original simple wave.  The surface at the location of the ring of non-definity, will come to rest.

When this happens, the original surface will progressively become more convoluted and complex within this finite three-dimensional region.

This will continue within a fixed finite volumetric region, causing surfaces within this region, to become more and more complex.  It is this complexity which is inversely proportional to the space gauge, a measure of the distance between apparent surfaces within a finite region.

The rate of auto-convolution within this region is of course directly dependent upon the number of simple waves passing through.  It is also inversely dependent upon wave size;  very large waves being least likely to undergo auto-convolution.

This process is occurring everywhere throughout the field at a consistent universal rate,  viz., all finite regions increase in field density (or decrease in space gauge) at the same rate.  This is because all finite regions may be seen as inter linked by the common simple waves passing through them;  the more waves, the faster the process.

Since these waves can be generated within finite regions, such as photon emission, the greater the field density within any region, the greater the prospect for more waves and smaller waves.   If any region achieves a higher density than surrounding regions, proportionately fewer of these waves will undergo auto-convolution, being that they can readily move between surfaces which are closer together, without auto-convoution, this relationship serving as a natural governor to the process.  On the other hand, if any region is considerably less dense than its surrounding regions, a greater number of small waves, generated within the outlying regions, will pass through, thus causing its density to increase more so than if only waves internal to this region occurred, thus causing lower density regions to "catch-up", so-to-speak.

Overall, the process is irreversible; the entire field progressively becoming more dense.  At this level there is no such thing as time;  the process being time independent.  Since time manifest at the phenomenal level, within the Fundamental Domain, and since there are several other processes, such as interchange and radial configuration decay, one might say that rather than entropy, changing space-gauge is "time's arrow".

Since the changing curvature of a surface is absolute, rather than relative, and since it can be directly equated to the dynamics of energy and condition of state, as surfaces collide and undergo interchange, "new" energy becomes available.  Thus, unlike entropic considerations related to the Inertial Domain, the reverse is true in the Fundamental Domain, in that there is always an abundance of energy, namely change in curvature, which can be directly translated as contiguous relative surface change of position, which, if correlated to time, is contiguous relative motion.

Such motion, as changing curvature, continues unabated, being that there are no resistive forces since a surface has no structure, being infinitely thin.

Within any finite region, no matter how complex it may appear, can be represented by one surface, or by many.