MJ kihara

In GR,the main point is relating Einstein manifold to energy density content available....Ricci tensor which is part of Riemann tensor ( geometry) are tools helping in constructing Einstein monifold which is encoded in Einstein tensor. Meaning that Ricci tensor may reduce to zero but other aspects of Riemann tensor are still contributing to the manifold.This relationship happens to be the most accurate description of gravity properties in the universe....while modelling this, it turns out the relation( the model) is non linear. My question is does the Einstein manifold has an interior or it's exterior topology is what matters? My opinion according to the thread's conversation(in my case from what is in my brain, its more than an opinion) non-linearity of GR may be telling us a more fundamental thing about nature.

I fear politics,hope will not be classified as interference....the kind of intolerance Trump faces from the other side is astonishing.....we can't throw someone off cliff because of a mere fact,his facts are false or he entertains fake news...anyway welcome to the new era of AI we need to know and elvolve to live in the new era....being obsessed with proving facts is also a form of extremizim....am from outside your region where majority would not support Trump.We need a lot of irritation to our ears....given a chance I would vote Trump big time.

Assuming we a have two massive similar but not identical object far away in the universe,how much information can we be able to decode from their respective gravitation waves about their actual composition. It's more than that, it's all about mental picture and how far you are able to navigate others brain while comparing with what you have in yours.I noted that earlier, that's why I become provocative some times to help me access it...the issue is, you put more effort while being flexible then you learn...you offering a helping hand I think helps someone mental flexibility, learning is a continuous process,if you claim you know and stop there,then I think you have stopped learning....the use of 'you' it's for conversation purpose, it's not personal.

Am not getting it, Newton gravity or GR gravity?.Realistically,what is the probability of two similar things being 100% identical?....why not 1?

I'm sincerely sorry for that,how I make it appear.... however, I fear if I let my temperament go away when facing those controversial issues, then the urge in me to push doing what am trying to achieve will just vanish...all the same I will try to control my temperament...and work hard to appear polite.

You may see those questions as if they are stupid or trivial but if the answers come from our experts-i salute them,I remember Swanson's saying that 'I see far because I stand on the shoulder of giants'-that assurance of answer gives someone guidance in reasoning, especially me. You will excuse me for this, but when I was new in the forum with just simple logical reasoning and simple mathematics there was a lot of issues from my ideas that you refuted heavily to the point of appearing as if am hallucinating....however after learning 'some physics e.g GR mathematics' I learned my arguments were probably right..the best thing about learning, there is no limit and once you put more effort you don't remain stagnant... anyway its just a by the way.

I doubt your qualifications to answer those questions...not to be personal but after considering a lot of issues in my posts and of course my ongoing learning physics mathematics and relating it to my perspectives...it would be better if you back up your answers with concrete scientific reason ...welcome back 🤗 .

Does it mean that every source of gravity in the universe has its own signature gravitational wave? or is it that every point in the universe is unique in its own way given the nature of quantum fluctuation near the source of gravity? Assuming that we have two similar (in every aspect)sources of gravity in a completely empty space without even quantum fluctuations in the background(just an assumption) can their gravitation field be added together to get the field of the two sources.

Maybe if you can explain Raychaudhuri equation in a manner that tends to be more visual ( math and diagramatical explanation) it would be of more help to such posters.

We talking past each other....am asking about you saying gravity field couples with its self,you are telling me the results of non linearity of GR equations.Am not against GR if you have been following the thread keenly. From the experience i have gotten so far from the forum...someone can have mastered scientific jargon like a pro physicist but be short of internalized scientific insight. I hope the Theory of everything will be a theory easily understood by everyone given minimum possible explanations. I should partially recuse my self from this thread.

With what results? What is the practical application obtainable by renormalizing gravity and its impact on physical observations made in the universe? Adding up from which limit? You know what's the most difficult thing...? Finding the most simple,easy and straight forward solution to any problem.

I suppose limit of a curvature in two dimension is a straight line and a point. A straight line,gravity equals zero while a point in a vacuum there is zero point energy. Then it's clear that there is a limit at which gravity can be described as a curvature....new concept/concepts are supposed to be introduced that merges the issue of zero point energy and curvature...since zero point energy is always there,it creates a phantom idea of gravity gravitating (gravity generating more gravity) leading to circular thinking. Since gravity influence everything including dark matter...I think no new force is supposed to be introduced, however, a new concept in explanation of gravity beyond a curvature is paramount. My thinking is something that goes wit; Normalization condition The probability that its position x will be in the interval a ≤ x ≤ b is the integral of the density over this interval:where t is the time at which the particle was measured. This leads to the normalization condition Probability functions should be /if not, must be introduced in explanations of gravity...i think this should help us link quantum world and general relativity world.

Thanks for the answer. Can this be an indication of new physics? It seems we need to modify our current understanding of gravity...including introducing more properties of a graviton in a manner consistent with Zero point energy. Is there a limit to a curvature?

Going back a little bit for clarification. When it comes to gravity,where is the effective cutoff/Singularity conditions supposed to be for us to conclude gravity has been renormalised?

Wikipedia... renormalization. Renormalization specifies relationships between parameters in the theory when parameters describing large distance scales differ from parameters describing small distance scales. Physically, the pileup of contributions from an infinity of scales involved in a problem may then result in further infinities. When describing spacetime as a continuum, certain statistical and quantum mechanical constructions are not well-defined. To define them, or make them unambiguous, a continuum limit must carefully remove "construction scaffolding" of lattices at various scales. .....My take is a continuum limit is introduced at various scales for there to be stability in the universe ...for gravity it's the graviton at quantum scale ,structure formation (asteroids,planets,stars, galaxies e.t.c) at global scales and at edges of the universe wherever it is which is ever changing due expansion.Therefore,the issue of gravity not being renormalizable to me it's difficult to comprehend.

????? A ToE with no link between standard model and general relativity?

Then linking graviton to the curvature can be an excellent thing.

Other fields acting upon spacetime producing an effect perceived as gravity,then gravity acts upon other fields... is it not a case of gravity gravitating? Making gravity difficult to renormalize....this option don't seem to produce a solution for renormalizing gravity.

Effect without cause?

Then you don't know if it's there or not.

Its interesting. Mass induces gravity to infinity that extent to quantum harmonics/quantum pseudo harmonics (speculative). It's a transition from quantum realm to classical realm...we can predict with certainity the position of earth on its orbit, however where is earth if you narrow down to it's center of gravity(it's singularity)? Anyway,lots of temptation to go off topic(TOE).

Thanks. Hope probability renormalization condition can also be employed. Wikipedia(wave function).....This leads to the normalization condition:because if the particle is measured, there is 100% probability that it will be somewhere.

Given my interests and going by my posts in this forum,I might not be a good arbiter on this topic. However,the issue with gravity not being renormalised to me seem controversial since it's being looked at from the angle of UV divergence ( an issue am trying hard to internalize) and Feynman higher order loop integral. If the perspective changes it might help...since QM involves probability and it's more fundamental, unlike GR,I think probability renormalization should be used in arguments of renormalised gravity in a manner consistent with arguments of GR.

The last paragraphs from the article...“The world is probably much more complicated than we ever could have imagined,” ....“If we set our sights high, we get deep insights.”

Going by the order of fundamentality...I think this should be criteria of getting a theory of everything. 1- pose a simple/ probably controversial basic question in philosophy and try to answer it. 2-Use the answer in step one to develop a mathematical statement/equation. 3-Use whatever you got in step two to develop a physic model. 4- Use the model that you get in step 3 to answer physic problems,of course the model should be in agreement with standard model and general relativity...and of course,since you want TOE it should merge them seamless. 5-Having satisfied step 4 more than any theory of the day,try answering other non resolved problems from other branches of science chemistry and Biology...and since we exist it should be able to explain theory of evolution..this is a critical parameter that you can't run away from. 6-Finally the theory having satisfied step 1 to 5 should be able to explain new scientific observations and make further scientific predictions that are testable in the immediate future and further into the future,this point determines the extent to which such a theory will retain the crown 👑 of A theory of everything.