I have a question, so information can be destroyed but is it tend to be mininal because stochastic spacetime fluctuations are more likely to be little?
1:10:21 In fact, the observer's self-esteem in QM is underestimated to the level of the infamous ostrich. The observer is always involved in an unavoidable measurement process. It seems that there have never been any problems with QM already within the framework of GR (for example, in the case of the Schrodinger/Carroll cat). A live cat breathes and, accordingly, emits gravitational waves according to the formula GR with intensity: I(G)=(2G/45c^5)(M^2)(l^4)(w^6), where M is the mass of the cat, l is its characteristic size, w is its frequency breathing.The frequency of gravitational radiation should be on the order of w~ 2π/т where т is the characteristic time of accelerated mass movement (pulsation, rotation, collision, non-spherical explosion).It is clear that the dead cat is not breathing and I(G) =0*. In principle, all this lends itself to a certain (improbability) constant measurement without opening the "black box", since gravity is not shielded [w=w(m)]. Moreover, the behavior of the radiation source is also controlled, since it emits only in an excited state. ** Of course, Carroll's sleeping cat breathes, but differently (can be measured) than the waking one.*** Sweet dreams to you QM, on the interpretation of the Born or Everett wave function. P.S. Why didn't Einstein use this argument? He wasn't sure about the reality of gravitational waves and assumed only the presence of hidden parameters… --------------------- *) - By the way, a "smile" without a cat can be detected according to Einstein's equations. Raising one of the indices, substituting I=k and summing, we find: R=-(8πG/c^4)T, where T=T(n) is the trace of the energy-momentum tensor (~ "gravitational memory."). **) - If the cat is replaced with a detector, then with each absorption its state will change (which makes measurement possible). It is clear that this will also cause additional radiation of gravitational waves, since the included detector is already a source. ***) - The formula can be given in the following form for a photon: I(G)={[w/w(pl)]^2}ħw^2. Of course, this approach is also applicable to the case of entangled particles. "When physicists offer metaphysical explanations for physical phenomena, I start swearing." (Raymond Tallis). Frame of reference in GR: "In the general case of an arbitrary variable gravitational field, the metric of space is not only non-euclidean but also changed with time. This means that the relationships between different geometric distances change over time. As a result, the relative position of the "test particles" introduced into the field in any coordinate system can not remain unchanged." ( Landau-Lifshitz, II). It turns out that since the Big Bang, all the particles in the universe speak, hear and listen to each other in the language of gravity (= irreducible spontaneous measurement). Finally: that is, the result of the measurement is a change in the state of the measuring device; a change in the physical state of the observer; and, finally, a change in the intellectual state of the observer.
1:15:10 Pauli, RT, paragraph 22, Geometry of the Real World, "So far we have assumed that the form ds^2 is a definite form. In the real space-time world, this does not take place, since ds^2 in normal form has three positive and one negative term." P.S.On the “dark” invariance: 0.in RT the main invariant is the 4-interval (a mathematical description of the constant c), however, it could offer another invariant value based on another physical constant. 1.Comparing with Einstein's equations of 1915, we find a=-c^3/16πG. Strictly speaking, in order to determine the constant a, it was necessary to make a transition to the Poisson equation. Thus, a rigorous derivation of Einstein's equations can be given. The transition to the non-relativistic limit allows us to determine a constant factor for the integral of the gravitational field according to: R[(0)^0]=(4πG/c^2)p; Δφ=-pc^3/4a=4πGр. And a=(1/16π)m(pl)w(pl). 2.From Kepler's third law follows: M/t=v^3/G, where M/t=I(G)=[gram•sec^-1] is the gravitational current. By the way, in SR: I(G)=inv; this follows from the Lorentz transformations: m=m(0)/√(1-v^2/c^2) and ∆t=∆t(0)/√(1-v^2/c^2). Hence, obviously, we have I(G)=m/t=m(0)/t(0)=inv. 3.Therefore, the Poisson equation can be written as: ∆g(00)=8πGT(00)/c^4, where g(00) is the time component of the metric tensor (for a weakly curved metric the time component of the energy-momentum tensor: T(00)~=pc^2). This equation is true only in the non-relativistic case, but it is applicable to the case of a homogeneous and isotropic Universe, when Einstein's equations have only solutions with a time-varying space-time metric. Then the energy density of the gravitational field: g^2/8πG=T(00)=pc^2 [~=(ħ/8πc^3)w(relic)^4= =1600 quanta/cm^3, which is in order of magnitude consistent with the observational-measured data (~500 quanta/cm^3)], where the critical density value determining the nature of the model is: p=(3/8π)H^2/G. Hence it follows: g~πcH. 4.Expansion is a special kind of motion, and it seems that the Universe is a non-inertial frame of reference that performs variably accelerated motion along a phase trajectory, and thereby creates a phase quantized space. And according to the strong equivalence principle: g=|a*|=πcH [=r(pl)w(relic)^2], and w(relic)^2=πw(pl)H. Thus H=1,72*10^-20sec^-1. {By the way, at t(universe)= πт(pl), w(“relic”) was =w(pl); at 1/”H”= t(universe)=380000 years, w(“relic”)/2π was =3.5*10^14 Hz} 5.Intra-metagalactic gravitational potential: |ф0|=πGmpl/λ(relic)=[Gm(pl)/2c]w(relic), where the constant Gm(pl)/2c is a quantum of the inertial flow Ф(i) = (½)S(pl)w(pl) = h/4πm(pl) (magnetic flux is quantized: = h/2e, Josephson’s const; and the mechanical and magnetic moments are proportional).Thus, the phenomenon can be interpreted as gravity/inertial induction. {The basic formula QG of the quantum expression of the Newtonian gravitational potential is: ф(G)=-Ф(i)w, where w is the frequency of the quanta of the gravitational (~ vibrational) field.} 6. And а*=-2πcа/M(universe), what is F=M(universe)а*=-2πса=-с^4/8G=-(⅛)F(pl). 7.From Kepler's third law follows: M/t=v^3/G, where M/t=I(G)=[gram•sec^-1] is the gravitational current. By the way, in SR: I(G)=inv; this follows from the Lorentz transformations: m=m(0)/√(1-v^2/c^2) and ∆t=∆t(0)/√(1-v^2/c^2). Hence, obviously, we have I(G)=m/t=m(0)/t(0)=inv. In the case of the Universe: I(G)=M(universe)H=m(pl)w(pl)/8π=c^3/8πG=-2a (~ the "dark" const~inv), where M(universe)=E/c^2 is the full mass of the Universe, and the total energy E is spent on creating a phase-quantized space-time: m(pl)w(pl)=8πM(Universe)H { w(relic)^2=πw(pl)H. 8.That is: Δφ=-pc^3/4a= рс^3/2M(universe)H^2. And Δφ=4π[с^3/Gm(pl)w(pl)]H^2= 4πH^2; which is evidence of a phenomenon: spontaneous Lorentz transformations. 9.Thus; Δφ(0)/Δφ=w(pl)^2/H^2~10^126, where Δφ(0)=4πw(pl)^2; the best prediction.
1:10:00 Einstein. Relativistic theory of the non-symmetric field (General Remarks, D). The Meaning of Relativity. Fifth edition. Princeton, 1955. “One can give reasons why reality cannot at all be represented by a continuous field. From the quantum phenomena it appears to follow with certainty that a finite system of finite energy can be completely described by a finite set of numbers (quantum numbers). This does not seem to be in accordance with a continuum theory, and must lead to an attempt to find a purely algebraic theory for the description of reality. But nobody knows how to obtain in basis of such a theory.” P.S. Apparently GR was an overlooked QG: this assumption follows from the Schwarzschild solution and can be tested experimentally in the laboratory at the moment. 1.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....). 2.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). 3.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. 4.As a fundamental theory, GR has the ability with just one parameter: r(G)/r=q to predict, explain new physical effects, and amend already known ones. Photon frequency shift in gravitational field Δw/w(0)=q; the angle of deflection of a photon from a rectilinear propagation path =2q, 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 =3πq, 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). 5.The parameter q is not necessarily a measure of the deviation of the metric from the pseudo-Euclidean one, since in the quantized phase space q=πr/L, where L is the length of the phase path and πr^2=r(G)L. GR/QG predicts a new physical effect: w/w(pl)=q; expression for gravitational radiation from a test body. 6.This is amenable to physical examination in laboratory conditions at present. 7.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. 8.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=M/2∆m: system gravity unpacking ratio, n'- the orbit number (n'=0,1,2,3…). {a.The constant c^2 / 2w(pl) in the final formula is a quantum of the inertial flow Ф(i) = (½)S(pl)w(pl) = h/4πm(pl) (magnetic flux is quantized: = h/2e, Josephson’s const; and the mechanical and magnetic moments are proportional).Thus, the phenomenon can be interpreted as gravity/inertial induction. b.“Giving the interval ds the size of time, we will denote it by dт: in this case, the constant k will have the dimension length divided by mass and in CGS units will be equal to 1,87*10^-27", Friedmann, (On the curvature of space, 1922). [The ds, which is assumed to have the dimension of time, we denote by dт; then the constant k has the dimension Length Mass and in CGS-units is equal to 1, 87.10^ ± 27. See Laue, Die Relativitatstheorie, Bd. II, S. 185. Braunschweig 1921.] c.Apparently, the following expression takes place: μ(0)ε(0)Gi=1, which means that Gi=с^2 where i is inertial constant, i=1,346*10^28[g/cm]; or k°=1/i=7,429*10^-29[cm/g]: k(Friedmann)/k°=8π; where k°=r(pl)/m(pl), i=m(pl)/r(pl)=(1/c)m(pl)w(pl). d. 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[=πr^2/r(G)] is the length of the phase trajectory (of course, the quanta coming through the "window" are also rhythmically restored). e.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. The gravitational field is characterized by a spontaneous flow: J*=(v'/π )(1/4π) g^2/G, where v'/π- phase velocity of field evolution. f. 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). g. Accordingly, m=m(pl)/(1+n'/n), where m=ħw/c^2, is the quantum of the full mass: M=n'm [
1:10:32 On the self repel: 0.“Giving the interval ds the size of time, we will denote it by dт: in this case, the constant k will have the dimension length divided by mass and in CGS units will be equal to 1,87*10^-27", Friedmann, (On the curvature of space, 1922). 1.[The ds, which is assumed to have the dimension of time, we denote by dт; then the constant k has the dimension Length Mass and in CGS-units is equal to 1, 87.10^ ± 27. See Laue, Die Relativitatstheorie, Bd. II, S. 185. Braunschweig 1921.] 2.Apparently, the following expression takes place: μ(0)ε(0)Gi=1, which means that Gi=с^2 where i is inertial constant, i=1,346*10^28[g/cm]; or k°=1/i=7,429*10^-29[cm/g]: k(Friedmann)/k°=8π; where k°=r(pl)/m(pl), i=m(pl)/r(pl)=(1/c)m(pl)w(pl). 3.From Kepler's third law follows: M/t=v^3/G, where M/t=I(G)=[gram•sec^-1] is the gravitational current. By the way, in SR: I(G)=inv; this follows from the Lorentz transformations: m=m(0)/√(1-v^2/c^2) and ∆t=∆t(0)/√(1-v^2/c^2). Hence, obviously, we have I(G)=m/t=m(0)/t(0)=inv. 4.For clarity, let's draw an analogy. In electrodynamics, a circular conductor detects the properties of two conductors with currents flowing in opposite directions, since for each section of a conductor with a current on the opposite side there is a reverse current flow. Thus, the conductor is self-repelled by the magnetic force: F(m)=μ(0)I(e)^2, where I(e) is the electric current. 5.Then the force of inertia is: F(i)=(1/i)[I(G)^2], where I(G)=mw. That is, the expansion of the mechanical system is due to the inertial force of self-repelled (it is clear that this is not an anti-gravitational force)*. 6.In the case of the Universe; the gravitational current flowing along the phase trajectory: I(universe)=M(universe)H~m(pl)w(pl), respectively, the inertial force of self-expansion: F(i)=(1/i)I(universe)^2~F(pl). 7.It is clear that this approach is also valid for bodies moving in the same direction: then the inertial force of attraction will "appear", and this is not a gravitational, and even more so, not a "dark matter" effect. {For example, for clusters of galaxies; for stars orbiting the center of galaxies.} 8.The general formula for both cases: dF(i)=(1/4πi)[2I(1)I(2)](dl/r), where dl is the "element of length" of the trajectory of motion of the test body: a vector modulo equal to dl and coinciding in direction with the motion-current of the body, r is the distance between the trajectories of moving bodies. Thus, the three directions I(G), r, B(i) are perpendicular to each other in pairs: it follows that gravity/inertial (and electro/magnetic) actions are closely related to the structure of space-time and form a natural rectangular coordinate system. 9.Moreover, if "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); then the gravity/inertial field is a dynamic 4-space. 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=M/2∆m: system gravity unpacking ratio, n'- the orbit number (n'=0,1,2,3…). The constant c^2 / 2w(pl) in the final formula is a quantum of the inertial flow Ф(i) = (½)S(pl)w(pl) = h/4πm(pl) (magnetic flux is quantized: = h/2e, Josephson’s const; and the mechanical and magnetic moments are proportional).Thus, the phenomenon can be interpreted as gravity/inertial induction:ф(G)=-Ф(i)w. -------------- *) - In the presence of Λ(0) in Einstein's equations Newtonian mechanics is no longer a special case of GR: the relativistic equations of the gravitational field can be reached intuitively, based on the Poisson equation: Δφ=4πGρ. Now it is required that in the case of a weak field in GR, the Poisson equation is obtained, and this took place {by the way, a generally recognized achievement and “...a great success of GR” (Pauli, RT)}. But only when there are still unknown constants in the desired equations: a=-1/2 (which can be determined using the equivalence principle) and, attention: Λ(0)=0. Initially, in 1915, Einstein wrote the equations exactly in the form: R(ik) - (1/2)Rg(ik)=(8πG/c4)T(ik), i, k=0,1,2,3. , however, for philosophical reasons, in 1917 he added the unknown constant Λ(0) to his equations as a "cosmological constant". After Friedmann's solution (1922) Einstein discarded it. Modern speculations with an unknown constant based on the equation: T(ik)^v=-(c^4/8πG)Λ(0)g(ik), where T(ik)^v is interpreted as the energy-momentum tensor for vacuum, then when there is no solution in GR for a completely empty 4-space. Further worse: it becomes necessary every time to take into account the limitations imposed by the observational data on the value Λ(0). P.S."A good joke should not be repeated." (Einstein).
One question I have: what is the gravitational field in the case of a single particle emitted from an atom so the wave function is spherically symmetric. The particle just happens to be observed at x = 100m, y =0, z=0. Does the gravitational field propagate (noisily?) from the origin to the detection point?
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I have a question, so information can be destroyed but is it tend to be mininal because stochastic spacetime fluctuations are more likely to be little?
1:10:21
In fact, the observer's self-esteem in QM is underestimated to the level of the infamous ostrich.
The observer is always involved in an unavoidable measurement process.
It seems that there have never been any problems with QM already within the framework of GR (for example, in the case of the Schrodinger/Carroll cat).
A live cat breathes and, accordingly, emits gravitational waves according to the formula GR with intensity: I(G)=(2G/45c^5)(M^2)(l^4)(w^6), where M is the mass of the cat, l is its characteristic size, w is its frequency breathing.The frequency of gravitational radiation should be on the order of w~ 2π/т where т is the characteristic time of accelerated mass movement (pulsation, rotation, collision, non-spherical explosion).It is clear that the dead cat is not breathing and I(G) =0*. In principle, all this lends itself to a certain (improbability) constant measurement without opening the "black box", since gravity is not shielded [w=w(m)]. Moreover, the behavior of the radiation source is also controlled, since it emits only in an excited state. **
Of course, Carroll's sleeping cat breathes, but differently (can be measured) than the waking one.***
Sweet dreams to you QM, on the interpretation of the Born or Everett wave function.
P.S. Why didn't Einstein use this argument? He wasn't sure about the reality of gravitational waves and assumed only the presence of hidden parameters…
---------------------
*) - By the way, a "smile" without a cat can be detected according to Einstein's equations. Raising one of the indices, substituting I=k and summing, we find: R=-(8πG/c^4)T, where T=T(n) is the trace of the energy-momentum tensor (~ "gravitational memory.").
**) - If the cat is replaced with a detector, then with each absorption its state will change (which makes measurement possible). It is clear that this will also cause additional radiation of gravitational waves, since the included detector is already a source.
***) - The formula can be given in the following form for a photon: I(G)={[w/w(pl)]^2}ħw^2.
Of course, this approach is also applicable to the case of entangled particles.
"When physicists offer metaphysical explanations for physical phenomena, I start swearing." (Raymond Tallis).
Frame of reference in GR: "In the general case of an arbitrary variable gravitational field, the metric of space is not only non-euclidean but also changed with time. This means that the relationships between different geometric distances change over time. As a result, the relative position of the "test particles" introduced into the field in any coordinate system can not remain unchanged." ( Landau-Lifshitz, II).
It turns out that since the Big Bang, all the particles in the universe speak, hear and listen to each other in the language of gravity (= irreducible spontaneous measurement).
Finally: that is, the result of the measurement is a change in the state of the measuring device; a change in the physical state of the observer; and, finally, a change in the intellectual state of the observer.
1:15:10 Pauli, RT, paragraph 22, Geometry of the Real World, "So far we have assumed that the form ds^2 is a definite form. In the real space-time world, this does not take place, since ds^2 in normal form has three positive and one negative term."
P.S.On the “dark” invariance:
0.in RT the main invariant is the 4-interval (a mathematical description of the constant c), however, it could offer another invariant value based on another physical constant.
1.Comparing with Einstein's equations of 1915, we find a=-c^3/16πG. Strictly speaking, in order to determine the constant a, it was necessary to make a transition to the Poisson equation. Thus, a rigorous derivation of Einstein's equations can be given.
The transition to the non-relativistic limit allows us to determine a constant factor for the integral of the gravitational field according to: R[(0)^0]=(4πG/c^2)p; Δφ=-pc^3/4a=4πGр.
And a=(1/16π)m(pl)w(pl).
2.From Kepler's third law follows: M/t=v^3/G, where M/t=I(G)=[gram•sec^-1] is the gravitational current. By the way, in SR: I(G)=inv; this follows from the Lorentz transformations: m=m(0)/√(1-v^2/c^2) and ∆t=∆t(0)/√(1-v^2/c^2). Hence, obviously, we have I(G)=m/t=m(0)/t(0)=inv.
3.Therefore, the Poisson equation can be written as: ∆g(00)=8πGT(00)/c^4, where g(00) is the time component of the metric tensor (for a weakly curved metric the time component of the energy-momentum tensor: T(00)~=pc^2).
This equation is true only in the non-relativistic case, but it is applicable to the case of a homogeneous and isotropic Universe, when Einstein's equations have only solutions with a time-varying space-time metric. Then the energy density of the gravitational field: g^2/8πG=T(00)=pc^2 [~=(ħ/8πc^3)w(relic)^4=
=1600 quanta/cm^3, which is in order of magnitude consistent with the observational-measured data (~500 quanta/cm^3)],
where the critical density value determining the nature of the model is: p=(3/8π)H^2/G. Hence it follows: g~πcH.
4.Expansion is a special kind of motion, and it seems that the Universe is a non-inertial frame of reference that performs variably accelerated motion along a phase trajectory, and thereby creates a phase quantized space.
And according to the strong equivalence principle: g=|a*|=πcH [=r(pl)w(relic)^2], and
w(relic)^2=πw(pl)H. Thus H=1,72*10^-20sec^-1.
{By the way, at t(universe)= πт(pl), w(“relic”) was =w(pl); at 1/”H”= t(universe)=380000 years, w(“relic”)/2π was =3.5*10^14 Hz}
5.Intra-metagalactic gravitational potential:
|ф0|=πGmpl/λ(relic)=[Gm(pl)/2c]w(relic), where the constant Gm(pl)/2c is a quantum of the inertial flow Ф(i) = (½)S(pl)w(pl) = h/4πm(pl) (magnetic flux is quantized: = h/2e, Josephson’s const; and the mechanical and magnetic moments are proportional).Thus, the phenomenon can be interpreted as gravity/inertial induction.
{The basic formula QG of the quantum expression of the Newtonian gravitational potential is: ф(G)=-Ф(i)w, where w is the frequency of the quanta of the gravitational (~ vibrational) field.}
6. And а*=-2πcа/M(universe), what is F=M(universe)а*=-2πса=-с^4/8G=-(⅛)F(pl).
7.From Kepler's third law follows: M/t=v^3/G, where M/t=I(G)=[gram•sec^-1] is the gravitational current. By the way, in SR: I(G)=inv; this follows from the Lorentz transformations: m=m(0)/√(1-v^2/c^2) and ∆t=∆t(0)/√(1-v^2/c^2). Hence, obviously, we have I(G)=m/t=m(0)/t(0)=inv.
In the case of the Universe: I(G)=M(universe)H=m(pl)w(pl)/8π=c^3/8πG=-2a (~ the "dark" const~inv), where M(universe)=E/c^2 is the full mass of the Universe, and the total energy E is spent on creating a phase-quantized space-time:
m(pl)w(pl)=8πM(Universe)H
{
w(relic)^2=πw(pl)H.
8.That is: Δφ=-pc^3/4a=
рс^3/2M(universe)H^2.
And
Δφ=4π[с^3/Gm(pl)w(pl)]H^2=
4πH^2; which is evidence of a phenomenon: spontaneous Lorentz transformations.
9.Thus;
Δφ(0)/Δφ=w(pl)^2/H^2~10^126, where Δφ(0)=4πw(pl)^2; the best prediction.
1:10:00 Einstein. Relativistic theory of the non-symmetric field (General Remarks, D). The Meaning of Relativity. Fifth edition. Princeton, 1955.
“One can give reasons why reality cannot at all be represented by a continuous field. From the quantum phenomena it appears to follow with certainty that a finite system of finite energy can be completely described by a finite set of numbers (quantum numbers). This does not seem to be in accordance with a continuum theory, and must lead to an attempt to find a purely algebraic theory for the description of reality. But nobody knows how to obtain in basis of such a theory.”
P.S. Apparently GR was an
overlooked QG:
this assumption follows from the Schwarzschild solution and can be tested experimentally in the laboratory at the moment.
1.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....).
2.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).
3.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.
4.As a fundamental theory, GR has the ability with just one parameter: r(G)/r=q to predict, explain new physical effects, and amend already known ones.
Photon frequency shift in gravitational field Δw/w(0)=q;
the angle of deflection of a photon from a rectilinear propagation path =2q,
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 =3πq, 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).
5.The parameter q is not necessarily a measure of the deviation of the metric from the pseudo-Euclidean one, since in the quantized phase space q=πr/L, where L is the length of the phase path and πr^2=r(G)L.
GR/QG predicts a new physical effect: w/w(pl)=q; expression for gravitational radiation from a test body.
6.This is amenable to physical examination in laboratory conditions at present.
7.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.
8.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=M/2∆m: system gravity unpacking ratio, n'- the orbit number (n'=0,1,2,3…).
{a.The constant c^2 / 2w(pl) in the final formula is a quantum of the inertial flow Ф(i) = (½)S(pl)w(pl) = h/4πm(pl) (magnetic flux is quantized: = h/2e, Josephson’s const; and the mechanical and magnetic moments are proportional).Thus, the phenomenon can be interpreted as gravity/inertial induction.
b.“Giving the interval ds the size of time, we will denote it by dт: in this case, the constant k will have the dimension length divided by mass and in CGS units will be equal to 1,87*10^-27", Friedmann, (On the curvature of space, 1922).
[The ds, which is assumed to have the dimension of time, we denote by dт; then the constant k has the dimension Length Mass and in CGS-units is equal to 1, 87.10^ ± 27. See Laue, Die Relativitatstheorie, Bd. II, S. 185. Braunschweig 1921.]
c.Apparently, the following expression takes place: μ(0)ε(0)Gi=1, which means that Gi=с^2 where i is inertial constant, i=1,346*10^28[g/cm]; or k°=1/i=7,429*10^-29[cm/g]:
k(Friedmann)/k°=8π; where k°=r(pl)/m(pl), i=m(pl)/r(pl)=(1/c)m(pl)w(pl).
d. 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[=πr^2/r(G)] is the length of the phase trajectory (of course, the quanta coming through the "window" are also rhythmically restored).
e.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.
The gravitational field is characterized by a spontaneous flow: J*=(v'/π )(1/4π) g^2/G, where v'/π- phase velocity of field evolution.
f. 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).
g. Accordingly, m=m(pl)/(1+n'/n), where m=ħw/c^2, is the quantum of the full mass: M=n'm [
1:10:32 On the self repel:
0.“Giving the interval ds the size of time, we will denote it by dт: in this case, the constant k will have the dimension length divided by mass and in CGS units will be equal to 1,87*10^-27", Friedmann, (On the curvature of space, 1922).
1.[The ds, which is assumed to have the dimension of time, we denote by dт; then the constant k has the dimension Length Mass and in CGS-units is equal to 1, 87.10^ ± 27. See Laue, Die Relativitatstheorie, Bd. II, S. 185. Braunschweig 1921.]
2.Apparently, the following expression takes place: μ(0)ε(0)Gi=1, which means that Gi=с^2 where i is inertial constant, i=1,346*10^28[g/cm]; or k°=1/i=7,429*10^-29[cm/g]:
k(Friedmann)/k°=8π; where k°=r(pl)/m(pl), i=m(pl)/r(pl)=(1/c)m(pl)w(pl).
3.From Kepler's third law follows: M/t=v^3/G, where M/t=I(G)=[gram•sec^-1] is the gravitational current. By the way, in SR: I(G)=inv; this follows from the Lorentz transformations: m=m(0)/√(1-v^2/c^2) and ∆t=∆t(0)/√(1-v^2/c^2). Hence, obviously, we have I(G)=m/t=m(0)/t(0)=inv.
4.For clarity, let's draw an analogy.
In electrodynamics, a circular conductor detects the properties of two conductors with currents flowing in opposite directions, since for each section of a conductor with a current on the opposite side there is a reverse current flow.
Thus, the conductor is self-repelled by the magnetic force: F(m)=μ(0)I(e)^2, where I(e) is the electric current.
5.Then the force of inertia is: F(i)=(1/i)[I(G)^2], where I(G)=mw. That is, the expansion of the mechanical system is due to the inertial force of self-repelled (it is clear that this is not an anti-gravitational force)*.
6.In the case of the Universe; the gravitational current flowing along the phase trajectory: I(universe)=M(universe)H~m(pl)w(pl),
respectively, the inertial force of self-expansion: F(i)=(1/i)I(universe)^2~F(pl).
7.It is clear that this approach is also valid for bodies moving in the same direction: then the inertial force of attraction will "appear", and this is not a gravitational, and even more so, not a "dark matter" effect.
{For example, for clusters of galaxies; for stars orbiting the center of galaxies.}
8.The general formula for both cases:
dF(i)=(1/4πi)[2I(1)I(2)](dl/r), where dl is the "element of length" of the trajectory of motion of the test body: a vector modulo equal to dl and coinciding in direction with the motion-current of the body, r is the distance between the trajectories of moving bodies.
Thus, the three directions I(G), r, B(i) are perpendicular to each other in pairs: it follows that gravity/inertial (and electro/magnetic) actions are closely related to the structure of space-time and form a natural rectangular coordinate system.
9.Moreover, if "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); then
the gravity/inertial field is a dynamic 4-space.
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=M/2∆m: system gravity unpacking ratio, n'- the orbit number (n'=0,1,2,3…).
The constant c^2 / 2w(pl) in the final formula is a quantum of the inertial flow Ф(i) = (½)S(pl)w(pl) = h/4πm(pl) (magnetic flux is quantized: = h/2e, Josephson’s const; and the mechanical and magnetic moments are proportional).Thus, the phenomenon can be interpreted as gravity/inertial induction:ф(G)=-Ф(i)w.
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*) - In the presence of Λ(0) in Einstein's equations Newtonian mechanics is no longer a special case of GR: the relativistic equations of the gravitational field can be reached intuitively, based on the Poisson equation: Δφ=4πGρ. Now it is required that in the case of a weak field in GR, the Poisson equation is obtained, and this took place {by the way, a generally recognized achievement and “...a great success of GR” (Pauli, RT)}. But only when there are still unknown constants in the desired equations: a=-1/2 (which can be determined using the equivalence principle) and, attention: Λ(0)=0.
Initially, in 1915, Einstein wrote the equations exactly in the form: R(ik) - (1/2)Rg(ik)=(8πG/c4)T(ik), i, k=0,1,2,3. , however, for philosophical reasons, in 1917 he added the unknown constant Λ(0) to his equations as a "cosmological constant". After Friedmann's solution (1922) Einstein discarded it.
Modern speculations with an unknown constant based on the equation: T(ik)^v=-(c^4/8πG)Λ(0)g(ik), where T(ik)^v is interpreted as the energy-momentum tensor for vacuum, then when there is no solution in GR for a completely empty 4-space.
Further worse: it becomes necessary every time to take into account the limitations imposed by the observational data on the value Λ(0).
P.S."A good joke should not be repeated." (Einstein).
Just starting this clip would love to hear ideas on experimentally investigating this
One question I have: what is the gravitational field in the case of a single particle emitted from an atom so the wave function is spherically symmetric. The particle just happens to be observed at x = 100m, y =0, z=0. Does the gravitational field propagate (noisily?) from the origin to the detection point?