But let's take a look at the first few pages of "Modification of Field Equation and Return of Continuous Creation" anyway. (I'm not going to comment on the sometimes broken English.)
The introduction is mixing up cosmology and general relativity. For example, it says that inflation is a GR thing; it is not, it's a cosmology thing. Disproving inflation doesn't impact the validity of GR.
The introduction calls the existence of dark matter a problem. That's plainly false:
https://en.wikipedia.org/wiki/Dark_matter#Observational_evidence
The introduction mentions the problem of the formation of stars and galaxies, without specifying what that problem is.
"In fact, as verification or test to theory cosmological results should reflect the geological appearance on the earth and on the other hand the research to the earth can not disregard cosmological development, for natural world is unified in essence." This disregards the reasoning behind the separating of these fields in science. According to existing scientific models, the two don't influence each other, so the separation is warranted. Of course, if evidence to the contrary is produced, science will have to treat them as one, but until this evidence is found, there is no reason to demand these to be treated as one. Although, admittedly, the very next sentence states: "A sharp instance is that observations show indisputably the earth is expanding but so important phenomenon can not yet obtain due explanation from cosmology or astrophysics until today ...", so I guess we'll get to the evidence for this in this paper. Seems weird to chastise science for doing the right thing (not complicating things without reason), though.
"Besides, there are also some logical confusions, for example on one hand say universal temperature descends all the time after big bang and on another hand say the sun is burning more and more brightly, its temperature is becoming higher and higher." This is of course a laughable logical mistake made by the author: a global temperature drop doesn't mean locally the temperature can't increase. I point to global warming and entropy as two other examples of this.
Section 1.1
"where γ is the coupling coefficient" Note that this gamma isn't the Lorentz factor. The version of the EFE used here is also mentioned here:
https://en.wikipedia.org/wiki/Einstein_field_equations#Equivalent_formulations Under: "For example, in D = 4 dimensions this reduces to"
The expression given for the stress-energy tensor is for a perfect fluid in thermodynamic equilibrium. In other words, this isn't its general form; we are deriving things for a special case.
In the following bog-standard derivation, the metric is taken to be Minkowski with only small perturbations. Higher order terms are ignored.
Equation 1.2 assumes a harmonic condition for the perturbations.
Then, a static case is assumed, followed by the enforcing of particular behavior of the metric at long range (= far away from any source). This thus means we're in a situation where there's a (cluster of?) bubble(s) of perfect fluid, statically, in thermodynamic equilibrium, surrounded by a vacuum. I'm not sure that's even possible? How would the outer layers of this fluid stay in place? But if everything is static, then what use is this universe anyway? The kinetic mass of a moving particle is given. But we have no particles; we have a perfect fluid. ... Are those alarmbells I'm hearing? ... At this point, gamma needs to be defined differently from the standard. ... Yep, definitely alarmbells.
heyuhua: Please explain how you can meaningfully talk about a particle when all you've got is a perfect fluid. Please explain how a particle can be in motion, if the universe is static.