This Program is an expansion of existing concepts of space and numeric representation. It is a direction science and mathematics should move in that will take decades and many people just to scope out.
The Program starts with three key items:
1) Include the continuum of scale in our physical models, which requires a 4-D model of space (‘time’ is not part of this).
2) Expand our mathematical tools for cross-scale measurements by developing a Complex numeric (not number) system providing a single complex value for sqrt(-1), sqrt(-2), etc.; rather than the existing ‘x + iy’ double valued representation.
3) Re-evaluate our concept of ‘time’, as it does not consist of physical characteristics and so cannot be equated to a physical dimension.
In a 3-D model of space, an object at our scale level, say a human body, is the same location as the atoms comprising it. However, an object exists differently at different scale levels (eg. organs, cells, proteins, atoms), so the human body is actually comprised of different objects at different scale levels. Since our current 3-D model of space has all levels of scale as the same location, all these levels with different objects exist in the same 3-D volume of space. There is no way, from a 3-D location perspective, to differentiate these levels of scale. We would need to add the continuum of scale to our physical space model and include a 4th ‘scale’ measure for the location of these objects in space. We do this implicitly by our choice of ‘units of measure’ whenever we perform such location measurements – so we only need to make explicit this additional scale measure as part of our model of space. Only with this additional term can we consider movement across scale.
We will not be able to adequately model a 4-D world without proper tools. Real numbers representable by positional numeric notation systems (eg. decimals, binary representations) have been the tools of choice for science and measurements at specific levels of scale. A key tool set we will need for cross-scale measurements will be fully formed (single) complex values that allow us to take complex measurements, which can represent measurements and actions across levels of scale. Why should positional numeric notation (eg. decimals representing real numbers) be the end-all of how we represent numbers? This is an evolutionary line of thinking – from counting numbers to ratios to decimals to ??.
There are a few physicists questioning how ‘time’ could be a physical dimension. Simply put: Time has no physical qualities – so it cannot be equated with a physical dimension. So what is ‘time’? It might be defined as the measure of any change – in any direction or characteristic. However, if ‘time’ is not the 4th dimension of General Relativity, what is? Maybe scale – where (relative) lengths could appear to change size if moved in a ‘scale’ direction – and measurements of those apparently different lengths would produce differences in time calculations.