Essay Abstract

I propose a gentle (requiring minimal changes to both theories) reconciliation of Quantum Theory and General Relativity. The program for obtaining this reconciliation is to show that: * It is impossible to keep the wavefunction collapse as a discontinuity in the unitary evolution of a quantum system, without violating the local conservation laws. * It is ultimately possible: - to explain the apparent wavefunction collapse without appealing to discontinuous jumps - to account for the Bell correlations, without appealing to nonseparable states - to construct the quantum fields in a manner compatible with General Relativity, by using classical fields partitions - to clarify the quantum measurements and the interface between the quantum and classical levels - to have a nicely behaved energy-momentum tensor of the quantum fields (required by Einstein's equation, which connects the quantum fields with geometry) - to have a consistent theory of Gravity and Quantum Standard Model

Author Bio

Cristi Stoica has a master’s degree in Differential Geometry with applications in Physics, and is enrolled in a doctoral program on the Fiber Bundle Geometry. He works as a computer programmer in the field of Computational Geometry. The present essay is based on the author’s independent research.

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  • Post #3

Euclid proved all triangles' three interior angles add to exactly 180 degrees. Segment of equator, two lines of longitude, and a pole on a globe of the Earth. Euclid was wrong. Classical gravitation and quantum theory founding postulates arising from deep symmetries. Einstein's elevator is too simple to fail. A lab bench can empirically disagree - then what of GR and QFT?

Massed sector anisotropic vacuum is not disallowed. Contingent (Noether's theorems) angular momentum is then not conserved. 1931 teleparallel gravitation, otherwise defaulting to GR, punctiliously describes anisotropic vacuum and its tests: angular momentum. Deeply relativistic pulsar-solar star binary PSR J1903+0327 validates GR. Only one property coupled to angular momentum remains unexamined: chirality.

Nature provides a metaphoric pair of shoes as atomic nuclei within enantiomorphic crystallographic space groups. Of 230 space groups two pairs contain no conflicting or racemic screw axes and can be grown to large machinable single crystals. Do single crystals of space groups P3(1)21 and P3(2)21 quartz or P3(1) and P3(2) glycine gamma-polymorph falsify Einstein's elevator in a parity Eotvos experiment? If so, your derivation remains seamless but its foundation fails. Universal failure of quantized gravitation then has an empirical basis. Somebody should look.

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  • Post #4

i lost my comments before the actual posting due to the problems of continuity in the server connection for the internet service i have! You emphasize continuity through the concept of separate localizations involving classical fields partitioning. You also seem to dislike the concept of quantum gravity used to explain the lack of radiation emission from black hole structures in the cosmos. Recently i happen to see an experimental report of detection of finite radiation emission from such an object.

It all points out that we need not hurry publicatioons baeed on half cooked ideas/concepts. Instead we need to broaden the concepts with harmony to cover as wide a ground in Physics as possible. After all we do not want Physics as a discipline to end soon! Striving for better and better relative truths has led to progress thus far. Let us break some ground conceptually before doing our theoretical corollaries or experimental titbits to earn publication and have our names on board! No criticism meant as a person is entitled to earn his living . But then persuit of Physics has been a lofty profession in the good old days when even a patent office clerk came up with path breaking discoveries. That spirit needs revival and it does not matter we praise personalities involved all the time.After all we all getting paid for doing Physics.

Dear Uncle Al,

Invalidation of General Relativity will invalidate my theory too.

Dear Narendra,

Thank you for the patience and time you invested in reading this essay, and its author. You say:

"You also seem to dislike the concept of quantum gravity used to explain the lack of radiation emission from black hole structures in the cosmos. Recently i happen to see an experimental report of detection of finite radiation emission from such an object."

Your conclusion is rushed. My work does not contradict Hawking radiation, and also provides mechanism for quantizing gravity (section 7).

You also say:

"After all we do not want Physics as a discipline to end soon!"

I think that you should not worry about this. Even if my research program, or others (like string theory or LQG) will lead to unification of QT and GR, and even if we will completely know the laws of physics, the mystery is here to stay. So, don't worry.

Best regards,

Cristi

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  • Post #6

oorry, i misunderstood you about Quantum gravity. The ater coent on end of Physics was just lighthearted.

I am fascinated by the non-unification of gravity with other 3 fields of interaction. I somehow feel gravity has two components like the strong nuclear field. It can be strongly repulsive, say at the birth of universe to create very very quickly the original extended universe. Then it continues to have two components, one attractive that we all are familiar with. The other, i suspect, continues to be strongly repulsive that we have termed as dark energy, resulting in expanding acceleration of visible world by the dark matter world. The dark matter and visible matter both have come from the same primordial matter. I have a hunch that the latter consists of heavy quarks which are in free state there. The same got into the bound state in the visible world to give rise to nuclei/ atoms, the baryonic component.

It is all imagination, what you feel about such conjectural concepts!!

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  • Post #7

The first sentence in my above post have gone haywire! It should read ' i misunderstood you quantum gravity. The other comment re. the end of physics was just made in a lighthearted manner.'

> I am fascinated by the non-unification of gravity with other 3 fields of interaction.

Some particles don't feel the strong force, some don't interact electromagnetically, or weakly. But they all interact gravitationally. The three forces of the Standard Model are based on the degrees of freedom of "internal" spaces - the fibers of the gauge bundles. Gravity is based on spacetime dimensions. They are distinct in nature. They are united by the fact that the fields' Lagrangians have energy-momentum tensors, and these are, via Einstein's equation, sources of gravity. There is no need to try to unify the Standard Model forces with gravity in the same way electromagnetic force was unified with the weak one. Gravity's source is the energy, and electro-weak and strong fields have energy, like all matter fields. This is the way they are united: all fields are sources of gravity. I see no reason to try to unify the field with its energy-momentum more than they are unified by the relation

field -> Lagrangian -> energy-momentum -> gravity

Well, one good reason seems to be that the fields are quantized, and gravity not. But if we use the partition field approach to quantization, the quantization (partitionability) is inherited from fields to energy-momentum, hence to gravity.

If we insist to treat in the same manner all the four forces, we can consider the Standard Model fiber bundle as a manifold itself, as in the Kaluza-Klein theory, with some constrains imposed to the extra dimensions, and obtain thus a unification between gravity and other forces. But then, we need to explain 1. the constrains, 2. the relation given by the Einstein's equation between the matter and gravity, which now becomes artificial, being a relation between distinct components of the metric. There are also other approaches, based in general on the idea of identifying the Lorentz group, as well as the Standard Model group, with subgroups of a larger simple group.

But I think that it would be forced to treat identical gravity and the three Standard Model forces.

On the other hand, I believe that it is natural to search deeper connections between the three Standard Model forces, since there are some remarkable coincidences there.

I respect community's sacred right to secret rating. I thank to those who already rated my essay, for their attention. I would like to see also their arguments on the essay, which is in fact the reason I posted it here. I expect to find mistakes, and I am interested both in the small ones, and (especially) in the critical ones. Thanks.

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  • Post #10

Sometimes it becomes difficult to convey to others what you really mean. Also, when one says something the other understands it differently to what the other was conveying. Thus, individual understandings of one another turns into misunderstandings and due to the human etiquette one somehow try to polish up such iddues. The human mind needs to be simple and innocent and yet very alert and full og high degree of intution. All these present complicities in the discussion on such forums.

i have kept to the generalities as i find myself unable to judge the essay because of my very limited theoratical knowledge, being a hard core experimentalist. i appear as an isolated person on this forum inthis sense! But i do enjoy reading the essays that interest me, nearly a dozen thus far.May i recommend one by Tejinder Singh of TIFR, Mumbai where he taqlks of the significance of a mesoscopic region in between the quantum and the classical domain!

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  • Post #12

Dear Cristinel Stoica,

I'm glad to see your essay at competition. However, there are many essays at competition which tries to unify all interactions and quantum mechanics. In my view, all these attempts are doomed to failure because of our poor knowledge. What is mass and inertia? Why particles have quantum behaviour? What is space-time? Nobody knows the answers but all they builds TOE-like or unification theories. Imagine the creation of TOE in days of Newton.

Sincerely, Leshan

Dear Mr. Leshan,

Thank you for your observations. I admire the guys trying to find the TOE, and I think we should never stop trying to understand, including the problems you raised.

My aims are more modest, I just propose a research program of unification of quantum theory and general relativity, and present the steps I done so far.

Success,

Cristi

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  • Post #14

Dear Leshan ,

You say

What is mass and inertia?

The rotating spheres simply ,the rotations of quantum spheres imply mass .

Regards

Steve

Dear Mr. Leshan,

You say:

"What is mass and inertia? Why particles have quantum behaviour? What is space-time? Nobody knows the answers but all they builds TOE-like or unification theories."

Spacetime = differentiable manifold. Matter = fields on spacetime. Energy-momentum tensor is associated to the matter fields Lagrangian, and it gives the spacetime curvature via Einstein equation. Integrate the energy-momentum's time component on a spacelike hypersurface - the space - and obtain the mass, and inertia. In my essay I provided a possible answer to your question about the quantum behavior.

These answers may not satisfy everyone, being mathematics, but mathematics is about relations, and these relations are what we can get. When we say we look for the unification, we mean that we look for a description of these relations, nothing more.

Best regards,

Cristi

Dear Dr. Leiter,

Thank you for your appreciation. I look forward to read your essay. Until then, I will appreciate your comments too.

Best regards,

Cristi

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  • Post #17

Cristi, i have nothing much to add to my earlier post that you responded well. One word of advice will be that one should question the concepts evolved thus far too. Go on pushing them up with mathematical tools may result in a monster that will become too complex to treat. Nature is not complex. It has a dominant component of logic and an implicit component of random nature of individual processes as studied experimentally and also implemented into a mathematical theory. Give importance to concepts and available data before working out the Mathematical forms. Akso, there arises the question of significant/relevant variables and their weightages and boundary conditions applicable. Only then a theory becomes worthy of calculating the results of theoretical predictions.

Cristi

An interesting read. As you invited comment I'm delighted to offer some.

I believe some of your concepts are incisive, but be warned I do so for two other; reasons; I too have strong input from though processes beyond those of classical physics academia, and I firmly believe I have put together the correct strategic picture. (though it necessarily eschewed mathematics).

You are possibly hampered by not reconsidering conserved photons. But your concept of field partitions leads (I believe) in the right direction. My own earlier essay 495(and link in the posts) paints a fuller picture, but also reflects on art appreciation. I hope you may return the compliment.

Links can be tiresome, but, for your own satisfaction, you may better judge for yourself from http://vixra.org/abs/0909.0047

Best wishes

Peter

Dear Narendra,

I feel that I have to develop more my ideas, both conceptually, as you say, and mathematically. My essay contains the results of my research, and is not a popularization paper. One can't claim profound results in physics, and present them only in story-telling language, but I hope to find time to put here some posts explaining the ideas with more stories and fewer maths.

You say "Nature is not complex". I did not contradict you. And the simplicity of nature is visible in its mathematical formulation. Let's take Dirac's equations, all condensed in F=dA and d*F=J. If you develop these equations, you can write an entire book on electromagnetism. Nature is simple, its manifestation is complex. You can explain in stories and drawings electric and magnetic fields. When Maxwell unified them, he used math. He could not explain with non-mathematical concepts the unification, although he spent many years searching for gear mechanisms. Nature's simplicity and unity is revealed through mathematics. Natural languages and our natural thinking simply don't have the concepts to describe everything. Mathematics expands our mind and language to understand subtler stuff. Please try, as an exercise, to explain yourself without mathematical concepts what the spin of a particle is. Its main characteristics are not explainable in terms of rotations or other stuff you find in day by day experience.

Best wishes,

Cristi

Dear Peter,

Thank you for your nice comment. I look forward to read your essay, to understand better what you mean.

Best regards,

Cristi