To understand the relationship between space and energy (much less time and space) you have to look at the numbers involved. The two we're going to start with are the speed of light and the closely related planck length. Note that everything should be closely related, even the space/time conversion since even the latter is a reflection of our wound time.
What this means is that energy is not the convertible currency of math, instead time is. It also means that matter and anti-matter must be a function of some change in time coordinates that cancel one another out when going from energy to mass. We cannot assume, but we can look for a similar occurrence when we go from time to dimension (space) and from space to energy.
The speed of light is 3x10^8 m/s. In order to see the relationship between stored energy and mass you can look at any system where energy is added (such as a wound spring in a clock). It's useful to think in terms of a wound spring in a clock because then you are adding time into the same equation.
We see conservation in all of these not based on the Einstein equation but based on the conservation of time change coordinates.
One point of differentiation between relativistic universes and the time based universe is inherent in the fact that space and therefore energy and mass are always changing or else you have a black hole and you are completely away from traditional physics so that Kinetic energy and Rest Mass Energy are no different in a time based system since both involve changing time coordinates.
Planck length is a little more variable, being a theoretical measurement, but for purposes of this discussion, we'll use 1.62x10^-35meters. It's worthwhile for this purpose to put both of these numbers in context, so I'll point out that in a second light travels 4.86x10^43 planck lengths.
It's also important to note that the speed of light squared is 9*10^16 means that the relationship of distances to time at this involve the same type of massive relationships as the conversions of energy to time.
The 10^-15 length is where the nuclear forces kick in. This is important because these forces are relevant to the underlying relationship. That is the point at which the nuclear force overcomes electro-magnetic repulsion occurs at one million electron volts (1x10^6) and an eV=1.6x10^-19 joules. These are the forces that are involved in fission, the nuclear force allowing for the storage of electro-magnetic force and the discrete point of separation, that is time, between active and inactive application of nuclear attraction allowing for a sudden transition of stored to radiant energy.
Using planck length as the standard, and accepting that the conversion of time to space is a function of that distance, it can be seen that dimensionless time to space involves an infinite conversion, because to get even a 1.62x10^-35 length from non-dimensional time necessarily involves math that is outside of traditional physics.
The good news is that while the "transition" point is outside of physics, but even Hawkins has access to the immediate post transition math (this is what led Hooft to develop String Hologram theory which in turn led to E-hologram theory which led to non-linear time theory.
One has to understand that black holes represent the tendency of time to become non-linear at high gravities, but that the actual transition involves leaving traditional physics since a black hole doesn't quite leave the universe until traditional math ceases to apply because you have time and not space time.
The fact that very little of anything going into a black hole will actually transition (observed) means that conservation of entropy in a black hole is an illusion insofar as you seek to use it as an equation to force the time-space horizon into traditional math. Conservation of time would exist but the real issue comes down to how time coordinates change as opposed to conservation of any other elements. Forcing thermodynamics on black holes is all fine and good if you don't care about fundamental physics, but instead you are just focusing on post fundamental physics which is a trap that we've been aware of for at least 2500 years, but still fall into every chance we get. This is reflected in the earliest discussions of how time converts back and forth into space and energy and which predicted that you would end with higher energies which would re-emit from black holes (i.e. matter falling into a black hole has the time rewound to the point where time shrinks and this converts the matter to higher energies. By coincidence this was predicted within a few months (prior) of when it was actually observed or at least reported.
The laws of black holes developed by Hawkins, Bardeen and Carter reflect this; but stop short of converting time into space which is the key to going from fundamental physics to non-physics (coiled time).
I'll ignore the laws that I don't need to make my point and skip directly to the horizon area function: dA/dt (greater/equal) zero; where A is the Horizon area. The change in horizon area is "allowed" in this equation to drop out of the known universe and go to zero. Here is where the laws fall apart. Traditional physics requires that "it is not possible to form a black hole with vanishing surface gravity at the event horizon. That is, H/B/C mistakenly assume that because you are working with an infinite series (1/1-x as x approaches 1 in this case) that you cannot completely rewind time. Non-linear time theory says that this is a mistake because space, gravity, etc (i.e. the HBC universe) cease to exist when dt=0; that is when all change in time coordinates ceases, when time is non-linear.
HBC are correct, of course, in all physics because they are in "fundamental physics" and Non-linear time theory, while applicable to Fundamental physics is also applicable to the pre-physics universe.
However, being trapped in post-fundamental physics, you end up with Hooft and Suskind's theories of hologram theory which, while good, substitute projection for changes in time coordinates. The idea that space has to exist and assuming linear time is the Achilles heel of these theories.
We'll get there, but let's explain how this math develops with quantum gravity...later.
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