Quantum gravity can be understood by considering the logical consqquences of a single unifying postulate or principle of nature. I call it the postulate of quantized space time.
First some observations.
The Gravitational force seems to pervade the entire universe. However gravity is the weakest of all the forces in the entire universe. To get a easily measurable force of gravity there needs to be a planetary or larger mass nearby. So any theory of quantum gravity must require a large amount of mass to create a small effect in space time. Gravity also seems to be an exclusively attractive force. It also has only monopole and quadrupole moments. The lowest radiative gravitational moment is the quadrupole moment.
There is no way to distinguish between a mass and bound energy state. Mass is energy in a bound state. Only concentrated in these bound states called mass have we actually observed the gravitational field of an object. Free energy seems to react to gravitational fields but does not possess a gravitational field of it's own. Furthermore the bound states of energy are quantized into discrete steps.
The Planck length seems to be the smallest possible interval of length in space. Consider the Schwarzchild radius of a black hole with mass equal to the Planck Mass.
The standard formula is
$R_{Schwarzchild}=\frac{2Gm}{c^{2}}$
I will set all constants but G equal to one. The Planck units are defined as follows.
The Planck length
$l_{p}=\sqrt{G}$
Mass and time can be expressed in terms of the Planck length.
$m_{p}=\frac{1}{l_{p}}=\frac{1}{t_{p}}$
With these units in mind the Schwarzchild radius of a black hole with mass equal to one Planck mass.
$R_{Schwarzchild}[m_{p}]=2\sqrt{G}$
Now suppose we compute the Invariant interval between two points separated by one Planck unit in 3-space and time.
$\sqrt{\left(-\sqrt{G}\right)^{2}+\left(\sqrt{G}\right)^{2}+\left(\sqrt{G}\right)^{2}+\left(\sqrt{G}\right)^{2}}=2\sqrt{G}$
Is this just a coincidence of geometry and physics? Or is more going on here. Those observations are my basis for stating the following postulate.
Mass-energy alters the local space-time interval in increments that are integer multiples of the Planck length.
On my personal website I go into great detail of proving that even such a quantized manifold can still be differentiable in a certain sense. Thus preserving the calculus we all know and love. I define differential tensor operators on that space and run through which ones commute and which do not.
I have the following interesting results to report.
I have a fully quantum mechanical formula for the Schwarzschild radius of any mass of energetic field.
I have a tensor operator which based on computation of the non gravitational (flat space) stress energy predicts the possible curved space-time intervals and hence give a value of gravitational action due to those non-gravitational fields.
In the coming days I will publish a follow up paper related to thermodynamics of black holes, and other opaque surfaces.
written by: Johnny Luckett
I see many reality's traveling side by side as the universe expands, and our planet spins. The electromagnetic distortion of space-time can only be imagined at the quantum level. Let me explain... if you could take a mirror and reflect the earth turning... the reflection would reverse the spheres direction, thus making it appear to be going backwards, as if time had reversed. Now take an electron... and the positron, think of them as mirror image's of each other. ( Time Reversed Counterparts) please note: The emission of a particle is exactly equivalent to the absorption of it's antiparticle. If this is true, (and I think it is) we have the beginning ingredients of space-time travel.
Now, I must explain something before I go farther. Due to it's light speed, the proton has no sense of time as we know it. I feel that this is the flower to our quantum-time-cake. Electromagnetic radiation See's everything at once... so it's logical to say that a proton can travel thousands of earth years without time (as we know it) passing at all.
With that said, I will now intensify what I'm saying. Hence, an electron is moving forward through space-time... then suddenly it hits a proton! (naturally traveling at light speed) It then absorbs an electron, reversing it back through time until it suddenly emits an intergenic proton. It recoils, sending it forward again. Time travel could be achieved, but I feel going into the past might not be like the movie "Back To The Future".
I feel you would find another you, and a very different past, present, and future. In fact... I think that there are billions and trillions of reality time combinations. The reality you are in right now is real... then in a moment, it's gone, becoming nonexistent.
From time to time, I do feel that protons do pop in and out of existence. the best example is the so-called ghost story's that you hear about. I believe that this phenomena is caused by energy bursts, combined with some sort of atmospheric condition.
I have been asked if I believe in spirits... or a creator of all things, the answer is yes... I do. Everything that is created, most certainly has a creator. And it also is logical to say that pure energy (a spirit) can never die. It can only be transformed to another place... maybe to another Quantum Time Parallel.