Explosion of the Light: Alliance of the Planck and Mach and Einstein-Riemannian Physics

Email: lutephy@gmail.com Abstract: On the evident tripartite equivalency of the light speed and time and distance as a natural paradigm introduced here it is deduced the natural metric tensor of the universe via Mach's mechanics (metric fully governed by measurable universe) included to the fully variable light speed and fully variable gravitational G accompanied with Planckian quantum gravity in natural quantization of the space-time and we see the quantum modes of the gravitational fields by combination of the Planck and Mach and EinsteinRiemannian physics introducing new universal constants. We see a new cosmology on the base of the variable light speed universe via conservation of the total matter of the universe expanding stationary via permanent cyclical transformation of the observable baryonic matter to background ether and the background ether to the observable baryonic matter required by equation of the continuity for equilibrium, creating homogeneity and isotropy and flattening of the universe and reasoning also a universal background minimum temperature creating cosmic microwave background as a black body radiation. Ultimately it is obvious that our universe is a large version of the Planckian mini universe and also we see variable Planck length correlated to the gravitational potential energy.


Introduction
Quantum Gravity, broadly construed, is a physical theory incorporating both the gravity and quantum theory. Such a theory is expected to be able to provide a satisfactory description of the microstructure of spacetime at the so-called Planck scale, at which all fundamental constants of the ingredient theories, c (the velocity of light), ℏ (the reduced Planck's constant) and G (Newton's constant), come together to form units of mass, length and time. The Planck length and time units are so small capable to be measured experimentally.
The Planck (1899) demonstrated a natural absolute family of units that are independent of all human and terrestrial baggage. Planck noted that in all ordinary systems of units, the choice of the basic units is made not from a general point of view "necessary for all places and times," but is determined solely by "the special needs of our terrestrial culture" (Planck, 1899, p. 479).
Planck was not aware of the relevance of the scale set by the constants to the applicability of general relativity, of course, but Arthur Eddington seems to have been aware, writing in the March edition of Nature in 1918: "From the combination of the fundamental constants, G, c and h it is possible to form a new fundamental unit of length Lmin = 7×10 28 cm. It seems to be inevitable that this length must play some role in any complete interpretation of gravitation. ... (Eddington, 1918, p. 36)".
The idea of a minimal length was predated by a smallest unit of time, proposed by Lévi (1927) in his "Hyphoth`ese de l'atome de temps" (hypothesis of time atoms), that was further developed by Pokrowski (1928).
It was not until special relativity and quantum mechanics were joined in the framework of quantum field theory that the possible existence of a minimal length scale rose to the awareness of the community.
The idea that the Planck length amounts to a minimal length in nature follows from the argument that if distances smaller than this length are resolved, then it would require energies concentrated in a region so small that a mini-black hole would form, taking the observed system with it (Rovelli, 2007(Rovelli, , pp. 1289).

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Heisenberg was among the first to consider a fundamentally discrete space-time that would yield a cutoff, laid out in his letters to Bohr and Pauli. But young Russian, Bronstein (1936) was first to comprehend the problem of quantizing gravity in the Planck scale.
It was not until 1964, that Mead (1964;1966) pointed out the peculiar role that gravity plays in our attempts to test physics at short distances. He showed, in a series of thought experiments that this influence does have the effect of amplifying Heisenberg's measurement uncertainty, making it impossible to measure distances to a precision better than Planck's length. Up to date 1960s, his argument for the fundamental relevance of the Planck length met strong resistance.
But in the mid-1970s then Hawking's calculation (1975) of a black hole's thermodynamical properties introduced the 'transplanckian problem' due to the, in principle infinite, blue shift of photons approaching a black hole horizon, modes with energies exceeding the Planck scale had to be taken into account to calculate the emission rate. However, the prominent role played by John Wheeler, whose contributions, though not directly on the topic of a minimal length, has connected blackhole physics with space-time foam and the Planckian limit and by this inspired much of what followed. Unruh (1995) suggested that one use a modified dispersion relation to deal with the difficulty of transplanckian modes, so that a smallest possible wavelength takes care of the contributions beyond the Planck scale. A similar problem exists in inflationary cosmology (Martin, 2001) since tracing back in time small frequencies increases the frequency till it eventually might surpass the Planck scale at which point we no longer know how to make sense of general relativity. the idea of a fundamentally finite length or a maximum frequency was in these years studied by many scientists but here we have shown a meaningful connection between gravitation and fundamental minimum length.
Einstein relativity was not ultimately achieved with Mach inertia principle (metric fully governed by universe) because of non-relativistic attachments into the general relativity and we see here that the time is not an independent parameter in the physics suppose the time is light speed equivalent as the meter is.
Einstein total field is arbitrary selection without a natural argument whereas we want to find a natural metric not in paradox, fully compatible with nature evidences. Arbitrary choice of an equation for physics is not forbidden mathematically but sometimes the mathematical concepts are in conflict with evidences of the physical nature so that the differential equations of the mathematics results the famous Zeno's paradox and even in the mathematics too, the continuity of the real numbers is impossible however ever for two numbers we can consider a number between them in an infinity consequent process which is violating continuum motion. Julian Barbour (2001a;2001b), for one, thinks that it tells us that time is illusory. It is argued that the fact that quantum states do not evolve under the super-Hamiltonian means that there is no change.
In reality the Einstein general relativity, results a mathematical time as the existence of an independent clock working in the physics in contrast with the reality of the time whereas we see here that the natural metric of the universe compatible with Mach's mechanics (Mach, 1960) should be fully governed by the mass distribution in the universe and then the speed should be fully governed by measurable universe (fully variable light speed universe) whereas we see that the Einstein general relativity is not completely on the measurable universe which was the dream of the Einstein to establish a fully Machian type of general relativity as followed by Brans and Dicke (1961)  Whereas that Baez (2000) made welcome critical observations against the hypothetical relevance of the Planck length in a theory of quantum gravity and as noted by Baez (P. 180) that: "a theory of quantum gravity might involve physical constants other than c, G, ….".
But we should notice that natural quantization of space-time by Planckian quantization is not in conflict with quantum mechanical theories of quantum gravity so that we can see that the minimum length deduced by quantum mechanical gravity is compatible with Planck's units.

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In fact, Heisenberg uncertainty principle as the essence of quantum mechanics works well on the gravity too in the Planck's scale. Heisenberg uncertainty principle is not in contrast with Planck's scales suppose it is common for derivation of minimum distance so that the wave functions of the quantum mechanics for motion of the electrons in the atoms does not violate natural orbit of Bohr generated by classical electromagnetism.
However now scientists have not found a welldefined theory of everything to unify the gravity and quantum mechanics, but each type of quantum mechanical gravity theories in the future will be agreement again with natural classical quantization of space-time in Planckian format, for that both are common and unified with Heisenberg uncertainty principle.
Then natural results here are not in contrast to the quantum field theories which strongly would be on the vector bosons, fermions and the well-known vertex coupling between bosons and fermions. This is the same wave and point particle complementary. Both are working independently, but unified and agreement means the quantum mechanics and classical natural quantization in Planck's scale.
In Mach's mechanics, the space is just light equivalent and pure elements of the space is not valid and then if we are not exact on the determination of the space it is uncertainty on the determination of the light position and this is the same quantum mechanics formulized by Schrodinger which may be generalized into a dynamical space as noted by Diego Meschini (2007) that: "Although this is a seemingly sensible expectation, it need not hold true either, for a theory of quantum gravity may also be understood in less conventional ways. For example, not as a quantum-mechanical theory of (general-relativistic) gravity but as a quantum mechanical theory of empty spacetime …".
By the way we want to show here the significance of the Planck values in quantization of space time in quantum gravity and we have shown that how the natural metric is agreement with the Planck natural units in combination of the Machian universe and Riemannian physics.

There is no Preferred Clock and Meter but the Light is Preferred Reference
In fact, there is no meter and second as the physical realities in the fundamentals of the physics. These are originated by light measurement. To measure the time, we use from the light and about the length too is the same. Just for near hand distances we use from the rigid meter but in far and exact measurements we use from the light. However, we have the concept of the space in thought but in reality as Mach's mechanics (Mach, 1960) we know that the space is just the light traveling observations and when there is no light there is no space. Space is the light and conceptual space is out of physics.
In fact, the distance is the path, the light is traveling and there is no time and, the physics is timeless and on the Zeno's paradox, the motion should be certainly a quantum and displacement naturally should be an on-moment occurrence. The time is iteration and iteration is not fundamental but possible to assume a parameter as time t that: This is showing an equation of three parameters which certainly in Mach's mechanics this is a tripartite equivalency of the parameters for that there is no any absolute scale for measuring the time and meter and the light speed, suppose all are relative together and dependent and these parameters are defining each other in a tripartite equivalency divided to the four realizable quantum modes that: a. Light speed c considered as a universal invariant b. Time dt considered as a universal invariant c. Length dl considered as a universal invariant d. Mathematical constraints to the time and place like the Einstein general relativity When a parameter is being considered as a constant, then other parameters in the equation are closer to each other. In fact, we have tripartite equivalencies of the light speed and time and the light speed and length and also equivalency of the time and length, similar to the equivalency of the mass and energy, when the light speed is assumed as a constant in especial relativity.

Natural Metric Tensor of the Universe
The Tripartite equivalency of the parameters is caused by fully relativistic measurement of the parameters l and t and c. Then in natural metric tensor of the universe we need just to know about the light speed and the light speed in each point of the universe will show the metric there and against the Einstein assumption about a conceptual clock, there is no any clock in the nature suppose when we know the light speed in a point of the universe we know the metric tensor there.
All the speeds are possible to define by a speed in relational dynamics and then just a speed can be considered for definition of the time as the light speed which it is preferred reference. This means that the time is a relative duration by the light to travel in the length scale and strongly there is no other way naturally. This problem is describable by mathematics for that in the algebraic in an equation of several parameters, one 11 of them can be considered as an independent parameter which it is used in parametrization of the equations and other parameters will be dependent to the assumed independent parameter as a very simple case of the Brouwer fixed-point theorem. Then the definition of the speed and time and meter independently on the metric tensor is not valid in general for nature and natural metric of the universe is a metric that it is equivalent with definitive equation of the motion dl = cdt and a kind of this metric tensor is below metric tensor that: This is the same Minkowski metric we can consider it in each point locally means differentially.
This metric tensor is general metric of the universe and the geodesy should be derived by a variable light speed form of the Minkowski metric and then naturally the universe metric tensor is the generalized Minkowski metric in variable light speed universe (VSL).
On the other hand, on the Mach's mechanics (Mach, 1960), the light speed too should be fully governed by total material existence of the universe and the metric fully governed by all matter of the universe was too the demand of the Einstein as noted by Einstein in a letter to de Sitter 1917 that: "in my opinion it would be dissatisfying, if there were a conceivable world without matter. The g -v -field should rather be determined by the matter and not be able to exist without it. This is the heart of what I understand by the demand for the relativity of inertia. One could just as well speak of the `material conditionedness of the geometry'. As long as this demand was not fulfilled, for me the goal of general relativity was not yet completely achieved. This was first achieved through the introduction of the  term." As mentioned by Einstein himself it was realized that the Einstein general relativity is not achieved fully with Mach's inertia principle for that his total field concerns to the absolutist boundary conditions for being solved mathematically as noted in the Barbour book 'Mach's principle: From Newton's Bucket to Quantum Gravity' (1995) that: "The goal of Einstein's (1917)  By the way, on the tripartite equivalency of the parameters l and t and c, satisfying the relation dl = cdt it is resulted that the light speed is fully determining the metric tensor of the universe and then all components of the metric tensor of the universe should be the functions from the light speed and then we have a generalized natural isotropic metric tensor that: Functions F and G are arbitrary functions variable by light speed in general but we will see that these functions will be limited to some quantum functions in composition to the quantum units of the Planck and Mach's mechanics (Mach, 1960).
We should notice that when the light speed in the universe is fully determining metric tensor then we need no to use a hypothetical field violating the principia that:  Light speed in each point of the universe determines fully the metric tensor In reality if we consider a tensor field for gravity, then again in the answer we can transfer equivalently the time and light speed and meter because of natural tripartite equivalency of these parameters so that such a transformation has been used too in Schwarzschild (1916)

Natural Derivation of Especial Theory of Relativity in the Mode of Light Speed Constancy
In fact, there is no meter and second. In each inertial system, the light speed is constant means not variable for constancy of the gravitational potential energy. But 12 problem is that in the inertial systems we have relative speed v between event and observer. Einstein did consider the principle of light speed constancy as an evident fact whereas the light speed constancy is argued by equivalency of the parameters time t and light speed c. We can consider variable time and the length in a constant light speed universe argued in the Absolute Relativity (Lutephy, 2012a) as noted in this book that: "In a simultaneous system, difference at light speeds is equivalent with light speed constancy at different times in nonsimultaneity." Einstein did consider mistakenly a pure independent measurer as the clock and then he introduced the light speed constancy as an evident improvable fact in the nature whereas there is no any absolute clock independent of the light speed and there is no time unless the light and working of a mathematical clock independent of the light evidences is not natural even if it is correct mathematically. The reality is that for equivalency of the parameters we can assume the light speed as a constant and variation of the light speed in the relative observers will be transferred equivalently to the variation of the time and length parameters as it has been argued completely in the book Absolute Relativity (lutephy, 2012a).

The Quantum Mode of Length Invariant Universe
Light speed is constant just in a constant potential energy as noted by Einstein himself that: "The principle of the constancy of the speed of light can be kept only when one restricts oneself to space-time regions of constant gravitational potential." In variable light speed universe If we consider dl as a universal invariant then the general isotropic metric of the universe is: This metric is showing a constant meter tensor aligned to a variable light speed and time form of the universe.
Now it needs to know about the light speed variation in the universe.
In reality minimum distance which the light is possible to jump is the Planck length (Planck, 1899) that: Then because of quantization, dl in fundamental face should be replaced with the Planck length and then the mode of lp invariant universe is showing that: Which l is a universal constant.
And zero indexes (G0, c0) are internal gravitational coefficient and light speed in the observer reference frame and (G, c) are relevant values in the event reference frame. For example, observations in the earth for us are domestic and looking to a galaxy from earth position is an exotic observation and this is not specialized for earth suppose in each point of the universe we have relevant domestic observation and exotic observations.
In reality there is a direct relation between the Planck natural units and Mach's mechanics. Planck natural units are derived by dimensional calculus on the physics fundamental constants defining each other which is showing that Planckian quantum physics is a Machian universe. In Machian universe there is no conceptual elements and then Machian universe is a self-consistent universe that all parameters are defining each other cyclically and then each fundamental constant in the Machian universe is not absolute suppose is defined by other relevant constants which such a manner is used in the determination of Planck natural units and this reality was realized too by Dirac (1938) as noted by Alfonso-Faus (2009) that: "at cosmological scales the dimensionless numbers should be all of order one. This is something that Dirac proposed in 1937…" Then Machian universe and Planck quantum physics are unified and we have combined Planckian and Machian and Einstein-Riemannian physics as three in one.
According to the Mach inertia principle when the coefficients G and c are in the reference frame of the event then we have that: When the observer is on the event, the field is all gravity and then observed mass m0 is gravitational mass. But for exotic observer (the observer scales is not the same at the event observer), the mass m is inertial mass.
According to the Einstein weak equivalence principle as the equality of the inertial mass and gravitational mass based on the equivalence principle of relativity, for a domestic observer we have: 13 This is the famous Einstein-Dirac-Brans-Dicke-Sciama-Randall-Whitrow relation which internally is aligned with Einstein weak equivalence principle.
But exotically when the observer is out of the event we have breakdown of the weak equivalence principle as: So that G0 and c0 are gravitational G and light speed c in the inertial frame of the exotic observer (not at the event observer) accompanied with static mass m0 in its local constant potential energy.
This Equation (9) is agreement in general relativity too as one of the general relativistic relations And so, in lp invariant universe, the momentum mc is invariant fundamentally.
When the light speed is variable then by invariance of the Planck length in this quantum mode, for Planck quantum of time tp we can consider an Euclidian uniform quantum of time t so that: And then t is invariant and invariance of the Euclidean t means it is correct to write that: Also by relations (6) and (9) and (11) And this is light speed fully governed by matter of the universe and we can result the invariance of the Planck length by inverse way too, starting from the reality that on the light geodesy, the momentum of light is invariant.
On the other hand, as noted by Alfonso-Faus (2009) 14 Assuming Equation (9) in generalized n-mode gravity we have that: Showing that in n-mode Planck's scale based gravity we have universal invariance mc n .
Then we can generalize the definition of the energy to the below relation in quantum n-modes of the gravity: This generalized energy yields to a generalized quantum work law so that: By Equations (25) and (26) and the equation dp = fdt it is deduced: And calculating mathematically we obtain: In reality from Equation (28) And on the base of the conservation of momentum and energy (Lutephy, 2012b) it is deduced that: So that mph is dynamic mass of the moving bodies and this is showing that the addition of the static mass and dynamic mass is just linear in n = 1 mode but it is Pythagorean in n = 2 mode and generally in Fermat shape in n-modes gravity.
In reality in each inertial system because of constancy of the light speed it is possible to multiple c to an equation and changing relevant equations and just in the variable light speed universe this difference is realizable and then Planck-Einstein energy-frequency famous relation E = ħv is generalized in quantum n-modes of the gravity as: And probably the dimension of the radiation is relevant to the quantum n so that n = 1 yields a linear radiation (like the electrons in the atoms) and n = 2 yields a surface radiation (like the electromagnetic radiation of a charged accelerating body) and n = 3 yields spherical radiation.
For inertial system, the light speed is constant and then definition of the energy equations can be transferred equivalently with multiplication to the parameter c and then on the generalization of the work law we have generalized the potential energy in n-modes gravity as: On the other hand, by Equations (24) and (22)

Gravitational Geodesies in Quantum Modes
The equation for geodesic lines is: where,  represents Christoeffel symbol and variable q parametrizes the particle's path through space-time.
Christoffel symbol depends only on the metric tensor gv and variable q is a constant multiple of the proper time  for time like orbits and then we just can use from the face that: We have a total vector acceleration as the addition of the centrifugal and radial components that: General resolution of the natural metric tensor derived by Equation (17) yields for a static test mass as: The gravity for static mass in each point in generalized VSL universe is gN and then we obtain a generalized Machian relation in quantum n-modes of the gravity as: And then for n = 2, the metric tensor is written in the polar coordinate system as: For n<3, the light speed is negative and this is showing that however mathematically it is possible to generalize the gravity to n modes but physically it is limited to three modes n = 1 and n = 2 and n = 3.
For n = 1 we see the Planck length invariant universe: For n = 2 we see that lptp is universal constant so that: And for n = 3 it is deduced: And we see that the Planck time tp is a universal invariant in n = 3 and amazingly we see that the energy is mc 3 in the Planck time invariant universe.
We need to notice that in the Planck time invariant universe too, if the masses to be assumed included to the many particles, then we can see that the geodesy of the particles additionally can show a Newtonian gravity on the static mass too similar to a proposal by Cook (1976) as noted in his paper that: "the random motion of a particle confined to a small volume generates a Newtonian-type gravitational force and that the acceleration of a Dirac electron in a stationary state leads to a gravitational force of the correct magnitude."

Uuniverse Expansion on the Variable Speed of Light (VSL) and Cyclical Transformation of Ether to Baryonic Matter and Baryonic Matter to ether and Quantum Tunnelling from Horizon to the Background of the Universe
The flatness problem on the Friedmann equations (1922) is showing that the total density of the universe is fine-tuned to a critical density and then it requires increment of the total matter of the universe by creation of the matter via vacuum whereas this is violating the conservation law of the mass and energy. But here we propose the expansion of the universe aligned to the conservation law of mass and energy.
The point velocity of the light in the universe is depended to the potential energy and, isotropy and homogeneity of the universe implies that the point velocity of the light is almost constant. But we can assume an additional group velocity relevant to the additional mass of the universe reasoning the universe expansion in the way of space expansion.
Then speed of the space or group velocity of the universe is possible to be calculated by the light speed in quantum gravity for that the space in Mach's universe is physically the light and then by Equation (34) we obtain the group velocity as: And then we have: 17 And then it is resulted that: This is very closer to Hoyle-Carvalho formula (Kragh, 1999;Carvalho, 1996), obtained in a different way and deduced by dimensional calculus by Valev (2009) The density of the ordinary matter is decreased by universe expansion and this is inconsistent with homogeneity of the universe unless permanent creation of the observable baryonic matter in the whole of the universe.
In reality creation of the visible baryonic matter and flux of the universe expansion jexp yields to the equation of continuity that: Then homogeneity of the universe is showing that the expansion rate of the universe necessarily depends to the density of the observable baryonic matter of the universe for that in this form, changing density does change the expansion rate and this cyclical mechanism yields the system ever to an equilibrium point: Assuming the background ether being independent of the observable baryonic matter, then creation of the observable baryonic matter by background ether will not result an equilibrium on the point that  = 0 and then the density of background ether too should be ever correlated to the density of the observable baryonic matter. This is showing a permenent annihilation of the observable baryonic matter to the ether and ether to the observable baryonic matter cyclically until the system to be ever stable on the equilibrium point. Now we find the physical mean of the Yin-Yang as the transformation of the dark to bright and bright to dark permanently in the universe (Fig. 1).
This cosmology is closest to the ether theory proposed by Dirac (1951). Dirac (1951) proposed an ether of particles in an article in Nature. He stated: "With the new theory of electrodynamics we are rather forced to have an aether." The ether was proposed initially as a realistic absolute frame of reference and here we see that quantum tunneling of the matter from horizon to the background of the universe is not compatible unless creation at the absolute zeros background. Then microwave background radiation (CMB) will be a basis for measurement of the speed of bodies verified observationally by Cahill (2003). As noted in this paper that: "…Michelson interferometers show absolute motion effects when operated in dielectric mode, as indeed such experiments had indicated and analysis of the experimental data showed that the measured speeds were all consistent with the Cosmic Microwave Background (CMB) dipole-fit speed of 369km/s." But how the observable matter is created permanently and annihilated permanently?

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In reality it was deduced that the density and radius and mass of the universe all are invariant and then when the speed of the matter exceeds the point speed of the light c at the horizon, then it is unobservable because that commoving speed of the space is larger than the observable speed. But in Mach's mechanics there is no unobservable and then the rejected matter from the horizon for conservation of the mass and energy requires to return to the universe by a quantum tunneling from horizon to the space background and this is generating a cycle of the baryonic matter to ether and inverse.
Then creation of the matter is not from vacuum suppose the whole matter of the universe is invariant and what it is created it is annihilated at the horizon by Hubble law. In reality out of the radius of the universe, the matter returns to the universe by quantum tunneling creating an invariant universe in large scale accompanied with a stationary expanding universe (stop running universe) verifying isotropy and homogeneity of the universe and we name it a self-consistent universe.
Also by constancy of the G/c 3 and constancy of the momentum of universe Mc we see an argument for invariance of the universe in large scale by Alfonso-Faus (2009) "Artificial contradiction between cosmology and particle: The  problem" verifying our results here.
This mechanism is similar to mechanism of the life in the earth for human. Human is born in the earth and growing in the earth and dead ultimately but ever we have additionally a constant shape of the life (stop running) and in fact the life in the earth too is cyclical. Leave and return to the earth is necessity and we need to accept returning to the earth as we go and there should be a quantum tunneling for such a cyclical mechanism of the life. Then creation is not from vein but all are rotating in the universe and transforming together following conservation law of the existence similar to the existence of the comets which when they inter to the solar system, considered as the birth and when rejecting from the solar system, as the death in our observatories whereas that it is just ever living cyclical trajectory.
Even we have a similar mechanism in the biology so that we have ever creation and annihilation (speciation and extinction) like the annihilation of the dinosaurs and creation of some new species even visible newly. Also we can see that some species are being created suddenly and annihilated suddenly in thousands years which is short time in biology. Then in the biology too we have a quantum tunneling mechanism so that punctuated equilibrium (Eldredge and Gould, 1972) is a model of this rapid transition of the species.
Also creation of the matter in the universe background is a source ever for existence of the quantized minimum background temperature and this is the source of the microwave background radiation as a black body radiation.
In reality in lp invariant universe (n = 1) on the base of the Equation (62) we see that the constancy of the total matter of the universe implies the constancy of the Hubble constant in cosmic time.
Physicians are questioning the conclusion of accelerating expansion of the universe and they have a much larger dataset to back them up. When expansion rate is assumed to be constant along the billion years how it is changing in a decade scale?! Now, a team of scientists led by Professor Subir Sarkar of Oxford University's Department of Physics has cast doubt on this standard cosmological concept. Making use of a vastly increased data set -a catalogue of 740 Type Ia supernovae, more than ten times the original sample size -the researchers have found that the evidence for acceleration may be flimsier than previously thought, with the data being consistent with a constant rate of expansion. The study is published in the Nature Journal Scientific Reports (Nielsen et al., 2016).
Of course we need to notice that the electric charge asymmetry is too affective on the variation of the expansion rate (Lutephy, 2019) because of antigravitational effect which may had a value on the universe expansion. then for permanent creation and annihilation of the matter in the universe, the Hubble expansion rate is fluctuating around a mean value by electric charge asymmetry in cosmic short scale like the decade, in agreement with observations for variation of the Hubble constant whereas if the universe was accelerating in a continuum shape in cosmic time then accelerating expansion was in contrast with long cosmic time of the constancy of the Hubble rate.
And in n = 2 modes of the quantum gravity by Equation (61) Then in this mode, the constancy of the total matter of the universe is not directly resulting the constancy of the expansion rate suppose light speed c too does change the expansion rate. This is sowing a contraction of the universe if the expansion is accelerating because that by contraction of the universe, the light speed is decreased in agreement with the equation c = HR and then expansion rate H is increasing. But this is paradox and then the universe expansion is not accelerating unless by secondary effect like the anti-gravity. Then in n = 2 mode of gravity too, the light speed should be constant for constancy of the expansion rate and also we see that the gravitational G is constant for constancy of the light speed and then the density is too constant and universe is again expanding stationary.

Newtonian Black hole and Absolute Equivalency of the Mass and Energy
Newtonian black hole is real and Planck length is minimum distance in Newtonian type gravity too.
By a coincidence, the radius of a "Newtonian black hole" is the same as the radius of the Schwarzschild black hole in general relativity. We demand the escape velocity v to be the speed of light c, so potential energy: But one must appreciate that these are totally different theories. In particular, there is nothing special about the speed c in the Newtonian (nonrelativistic) gravity. To be specific, objects are always allowed to move faster than c which means that they may always escape the black hole and then in this manner, there are no real black holes in Newton's gravity.
But we want to argue here that the light speed is maximum too in Newtonian mechanics and the Newtonian black hole is real.
According to the work law we have: Simply on the vector calculus and the relation dp = fdt it is deduced that: And integration results: Then in Newtonian gravity too we have a maximum speed c which the force can't produce it and again the energy and mass are equivalent without a necessity to the Einstein relativity and we have a Newtonian argument for Einstein formula E = mc 2 .
Probably Einstein has been aware from this argument but it is clear that this argument destroys closer dependency of this famous relation to his relativity and in fact the Einstein several times tried to argue it in a relativistic way but all were failure. (Okun, 2008) We see that the Newtonian type gravity will result black hole and black hole is not a general relativistic necessity.

Explosion of the Light Around the Planck Density
In loop quantum gravity theory, a Planck star is a hypothetical astronomical object that is created when the energy density of a collapsing star reaches the Planck energy density. Under these conditions, (in loop quantum gravity) assuming gravity and space time are quantized, there arises a repulsive force derived from Heisenberg's uncertainty principle. The accumulation of mass-energy inside the Planck star cannot collapse beyond this limit because it violates the uncertainty principle for space-time itself.
The existence of Planck stars was first proposed by Rovelli and Vidotto (2014), who theorized in 2014 that Planck stars form inside black holes as a solution to the black hole firewall and black hole information paradox.
The mass of the universe around the Planck density has a radius around the proton and this condition is compatible with the explosion of all the physical structures and explosion of the light. Then the density of the matter never could exceed from the Planck value suppose around the Planck density, the light is being exploded avoiding from collapse to singularity as Rovelli and Vidotto demonstrate that it may not have been emerging from a point of singularity as previously believed, but rather from the "bounce" of a Planck Star reaching the Planck density and therefore giving an alternative explanation to the so-called Big Bang.
Of course consideration of the quantum effects around the horizon is necessity like the entropy and uncertainty, opening doors for quantum mechanical gravity theories.
As (Sivaram, 1982), Preliminary matter of the universe initially had been all having the energy Es = ħH coincides with the minimal measurable gravitational self-energy of a particle which is accepted as minimum quantum of energy from Alfonso-Faus (2012;Alfonso-Faus et al., 2013) and as Haranas and Gkigkitzis, 2013), this quantity takes substantial place in the estimations of total information and entropy of the universe and as a clue suggested by Weinberg (1972) which the large numbers are determined by both, microphysics and the influence of the whole universe, by division of the universe total mass to this candidate for smallest mass we deduce square of Dirac large number N so that:

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Then not only the horizon is a quantum tunnelling for transformation of the baryonic matter to ether and inverse but in the inner of the universe too there is a next mechanism for such a cyclical transformation of the ether to the baryonic matter and inverse.
The ether is gradually transferring to the baryonic matter and inversely the baryonic matter too can regenerate the ether but not in a gradual way suppose when the baryonic matter reaches around the Planck density (Planck star), the baryonic matter can't resist the more and suddenly the photons are exploded transferring to the ether.
Then if the universe was not expanding, strongly it was ultimately collapsed to a super-giant black hole reaching to a density around the Planck density and then expanding universe avoids from explosion of the universe and this is one of the paradigms visible in the holy books too.

Quantization of the Space-Time and Planckian
And then these two universes are just a universe with Planckian radius lp and Planckian mass mp similar to our universe with relevant expanding rate H that: Then we need to accept the existence of the mini Planckian universes with radius lp so that because of the reality that it is minimum distance in our universe then the Planckian mini universe has no interaction with our universe unless by the effects of the entropy and uncertainty of quantum mechanics which allows to obvious horizontally and this coincidence of our universe with Planck scale universe has been suggested strongly in the results by Alfonso-Faus (2009) according to the correlation of the Planckian units to Dirac large numbers as noted in his paper "Quantization of the universe as a black hole" that: "This strongly suggests that our universe can be considered to be an excited state of Planck's quantum black hole." In reality on the quantum mechanical laws it is possible to obvious relevant signals from planckian mini universes and it seems the Galiver story is not a story in physics and we can observe some things come out from mini universes.

Large Scale Obvious of Quantization
Now consider a black hole as a quantum-universe. In this level because of quantization of universe into a black hole we have a large scale quantization of the space time.
For example, in n = 2 mode of the gravity we have a variable Planck length as: And this is showing a variable Planck scale which it can use to obvious a large scale of the quantum by some technical ways on the information problem too.

Conclusion
The paper on the combination of the Planck and Mach and Einstein-Riemannian physics results natural metric of the universe fully governed by measurable matter of the universe and we have extracted quantum modes of the gravity included to the fundamental correlations between the fundamental constants and introducing new constants too. Also a new cosmology is being derived by the quantum results accompanied with the conservation of the mass and energy as a combination between quantum and cosmos.