50:30 "The geometry of space in general relativity theory turned out to be another field, therefore the geometry of space in GR is almost the same as the gravitational field.” (Smolin). In "GR was QG" there is no problem with empty (~ geometric, mathematical) space-time, since the real variable gravitational field of any physical object is identified with the phase space: when the gravitational field is space-time in the Planck system: F(G)/F(e)=Gm(pl)^2/e^2=1/α, that is, gravity~strong interaction*. This assumption follows from the Schwarzschild solution: the gravitational radius (or Schwarzschild radius) is a characteristic radius defined for any physical body with mass: r(G)=2GM/c^2 Consequently: 2E(0)/r(G)=F(pl)=c^4/G=ε(pl)/r(pl): with indicating the mutual quantization of the mass (energy) and space-time: m(0)//m(pl)=r(G)/2r(pl)=n,where n-total number of quanta of the system; the tension vector flux: n=[(1/4π)(Gћc)^-½]gS ( const for all orbits of the system: n=0,1,2,3....). Moreover, the parameter r(0)=r(G)-r(pl)=(2n-1)r(pl), defining the interval of the formation of the system, at n=0, when r=r(G)=0 (for example, the state of the "universe" before the Big Bang) turns out to be a quite definite quantity: r(0)=-r(pl). In the area [(-rpl) - 0 - (+rpl)] there is an implementation of external forces, "distance": (-rpl)+(+rpl)=0 (≠2rpl). On the Kruskal diagram of the hyperbole r=0 corresponds to the true Schwarzschild feature, the features V and VI are not even covered by the global (R, T)- space-time and correspond to the "absolute" vacuum; then the singular areas above and below the hyperbolas r=0 can be formally treated as the energy source (external forces). That is, the frightening "true singularity" is actually a superconducting heterotrophic "window" between the proto-universe (the source) and physical bodies**. P.P.S. As a fundamental theory, GR has the ability with just one parameter: r(G)/r=k to predict, explain new physical effects, and amend already known ones. Photon frequency shift in gravitational field Δw/w(0)=k; the angle of deflection of a photon from a rectilinear propagation path =2k, the Newtonian orbit of the planet shifts forward in its plane: during one revolution, a certain point of the orbit is shifted by an angle =3πk, for a circular orbit (eccentricity е=0); in the case of an elliptical orbit - for example, for perihelion displacement, the last expression must be divided by (1-e^2). ------------------- *) - GR/QG predicts a new physical effect: w/w(pl)=k; expression for gravitational radiation from a test body. This is amenable to physical examination in laboratory conditions at present. **) - From this, generally, from Einstein's equations, where the constant c^4/G=F(pl), one can obtain a quantum expression (as vibration field) for the gravitational potential: ф(G)=(-1/2)[Għ/с]^½ (w)=-[h/4πm(pl)]w. Final formula:ф(G)=-[w/w(pl)]c^2/2, where ф(G) - is Newtonian gravitational potential, r(n')=nλ/π=(n+n')2r(pl)l , the corresponding orbital radius, w - the frequency of the quanta of the gravitational field (space-time); - obviously, the quanta of the field are themselves quantized: λ=(1+n'/n)λ(pl) = 2πc/w, where n'/n - system gravity unpacking ratio, n'- the orbit number (n'=0,1,2,3…). Obviously, on the horizon [r=r(rG), n'=0] the "door" is closed, however, the quanta [λ=λ(pl)] can go out singly and form the first and all subsequent half-orbits (n'=1,2, 3 ...) during the time t(0)=r/c=2nт, where т=1/w, т=((1+n'/n)т(pl), spending part of their energy on it each time. And it is this mechanism that provides the step-by-step formation of a variable gravitational field: variably accelerated expansion of spacetime as a phase space: |a|=g=πc^2/L, where L is the length of the phase trajectory (of course, the quanta coming through the "window" are also rhythmically restored). The phase velocity of evolution v'/π= r(pl)w/π; m(0)=(c/2G)rv', where v'=v^2/c. The angular momentum: L(p)=|pr|=n^2ћ [const for all orbits of the system; at n=1: L(p)=ћ] and moment of power: M(F)=dL(p)/dt(0)=nћw/2=-E(G)=E*, where t(0)=r/c, E*- energy of self-action. According to GR / QG, gravitational field [E(G)=-E*] is characterized by a spontaneous flow: J*=(v'/π )(1/4π) g^2/G, where v'/π- phase velocity of field evolution. Entropy (here: a measure of diversity/variety, not ugliness/disorder) of the system: S=πε(pl)r(t)=(n+n')k, where k is the Boltzmann constant. Obviously, on the horizon entropy=min and with fundamental irreversibility, information is preserved (+ evolves, accumulates). Accordingly, m=m(pl)/(1+n'/n), where m=ħw/c^2, is the quantum of the full mass: M=n'm [
50:30
"The geometry of space in general relativity theory turned out to be another field, therefore the geometry of space in GR is almost the same as the gravitational field.” (Smolin).
In "GR was QG" there is no problem with empty (~ geometric, mathematical) space-time, since the real variable gravitational field of any physical object is identified with the phase space:
when the gravitational field is space-time in the Planck system: F(G)/F(e)=Gm(pl)^2/e^2=1/α, that is, gravity~strong interaction*.
This assumption follows from the Schwarzschild solution: the gravitational radius (or Schwarzschild radius) is a characteristic radius defined for any physical body with mass: r(G)=2GM/c^2
Consequently: 2E(0)/r(G)=F(pl)=c^4/G=ε(pl)/r(pl): with indicating the mutual quantization of the mass (energy) and space-time: m(0)//m(pl)=r(G)/2r(pl)=n,where n-total number of quanta of the system; the tension vector flux: n=[(1/4π)(Gћc)^-½]gS ( const for all orbits of the system: n=0,1,2,3....).
Moreover, the parameter r(0)=r(G)-r(pl)=(2n-1)r(pl), defining the interval of the formation of the system, at n=0, when r=r(G)=0 (for example, the state of the "universe" before the Big Bang) turns out to be a quite definite quantity: r(0)=-r(pl).
In the area [(-rpl) - 0 - (+rpl)] there is an implementation of external forces, "distance": (-rpl)+(+rpl)=0 (≠2rpl).
On the Kruskal diagram of the hyperbole r=0 corresponds to the true Schwarzschild feature, the features V and VI are not even covered by the global (R, T)- space-time and correspond to the "absolute" vacuum; then the singular areas above and below the hyperbolas r=0 can be formally treated as the energy source (external forces).
That is, the frightening "true singularity" is actually a superconducting heterotrophic "window" between the proto-universe (the source) and physical bodies**.
P.P.S.
As a fundamental theory, GR has the ability with just one parameter: r(G)/r=k to predict, explain new physical effects, and amend already known ones.
Photon frequency shift in gravitational field Δw/w(0)=k; the angle of deflection of a photon from a rectilinear propagation path =2k, the Newtonian orbit of the planet shifts forward in its plane: during one revolution, a certain point of the orbit is shifted by an angle =3πk, for a circular orbit (eccentricity е=0); in the case of an elliptical orbit - for example, for perihelion displacement, the last expression must be divided by (1-e^2).
-------------------
*) - GR/QG predicts a new physical effect: w/w(pl)=k; expression for gravitational radiation from a test body.
This is amenable to physical examination in laboratory conditions at present.
**) - From this, generally, from Einstein's equations, where the constant c^4/G=F(pl), one can obtain a quantum expression (as vibration field) for the gravitational potential: ф(G)=(-1/2)[Għ/с]^½ (w)=-[h/4πm(pl)]w.
Final formula:ф(G)=-[w/w(pl)]c^2/2, where ф(G) - is Newtonian gravitational potential, r(n')=nλ/π=(n+n')2r(pl)l , the corresponding orbital radius, w - the frequency of the quanta of the gravitational field (space-time); - obviously, the quanta of the field are themselves quantized: λ=(1+n'/n)λ(pl) = 2πc/w, where n'/n - system gravity unpacking ratio, n'- the orbit number (n'=0,1,2,3…).
Obviously, on the horizon [r=r(rG), n'=0] the "door" is closed, however, the quanta [λ=λ(pl)] can go out singly and form the first and all subsequent half-orbits (n'=1,2, 3 ...) during the time t(0)=r/c=2nт, where т=1/w, т=((1+n'/n)т(pl), spending part of their energy on it each time. And it is this mechanism that provides the step-by-step formation of a variable gravitational field: variably accelerated expansion of spacetime as a phase space: |a|=g=πc^2/L, where L is the length of the phase trajectory (of course, the quanta coming through the "window" are also rhythmically restored).
The phase velocity of evolution v'/π= r(pl)w/π; m(0)=(c/2G)rv', where v'=v^2/c.
The angular momentum: L(p)=|pr|=n^2ћ [const for all orbits of the system; at n=1: L(p)=ћ] and moment of power: M(F)=dL(p)/dt(0)=nћw/2=-E(G)=E*, where t(0)=r/c, E*- energy of self-action.
According to GR / QG, gravitational field [E(G)=-E*] is characterized by a spontaneous flow: J*=(v'/π )(1/4π) g^2/G, where v'/π- phase velocity of field evolution.
Entropy (here: a measure of diversity/variety, not ugliness/disorder) of the system: S=πε(pl)r(t)=(n+n')k, where k is the Boltzmann constant. Obviously, on the horizon entropy=min and with fundamental irreversibility, information is preserved (+ evolves, accumulates).
Accordingly, m=m(pl)/(1+n'/n), where m=ħw/c^2, is the quantum of the full mass: M=n'm [