Quantum Space Time and Fields
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enAnnouncement: The Unification project.
https://www.qstaf.com/content/announcement-unification-project
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<p><a href="https://publications.uniteserve.com/preprints/KNWL-GNRL-20210321-2-V4">Download from UNITESERVE Publications</a><br /><a href="https://www.researchgate.net/publication/355702148_GRAND_UNIFICATION_OF_HUMAN_KNOWLEDGE"> Download from Research Gate</a><br /><a href="https://www.academia.edu/60162311/GRAND_UNIFICATION_OF_HUMAN_KNOWLEDGE"> Download From Academia</a></p>
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</ul>Sun, 27 Jun 2021 04:50:54 +0000Suresh Maran33 at https://www.qstaf.comhttps://www.qstaf.com/content/announcement-unification-project#commentsQuantum Gravity Framework 4: Fully Path Integral Framework, Structure Formation and Consciousness in the Universe.
https://www.qstaf.com/QGframework4.0
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even" property="content:encoded"><p>In this paper I did two major update of quantum gravity framework project. First, I update the proposals to make them path integral form, so that entire formalism is covariant consistent with general relativity. Second, I include conscious and structure formation in the universe. </p>
<p><a style="display:none" href="https://publications.uniteserve.com/preprints/PHYS-QNTM-20210321-1">Download from UNITESERVE Publications</a><br /><a href="https://www.researchgate.net/publication/355701855_Quantum_Gravity_Framework_4_Fully_Path_Integral_Framework_Structure_Formation_and_Consciousness_in_the_Universe"> Download from Research Gate</a><br /><a href="https://www.academia.edu/60162314/Quantum_Gravity_Framework_4_Fully_Path_Integral_Framework_Structure_Formation_and_Consciousness_in_the_Universe"> Download From Academia</a></p>
<p>In the previous versions of the framework the quantum reduction was in Hamiltonian form. Here I do the Lagrangian generalization of the Lindblad decoherent evolution. This is straightforward in simple systems. Applying this to general relativity is challenging. But I have a proposal of how to apply this to general relativity. I have discussed the application of the path integral form of decoherence to cosmology. I introduce a decoherence function. I briefly discuss the application to various simple cases, and resolution of singularities.</p>
<p> We have discussing only the universe without relevance to conscious observer. But including conscious observer is important for many different reasons:<br />
1.Quantum mechanics needs the observer in the quantum measurement process.<br />
2.Many things about the universe such as the value of physical constants can be explained easily by presence of observers such as in anthropomorphic principle.<br />
3.Matter naturally evolves into living thing and conscious arises as inherent property of matter in the universe.<br />
So, discussing the universe without discussing life and consciousness is incomplete. In this section I explore rise of structures in the universe, and consciousness. To understand the rise of structures and consciousness, I built on insights from my <a> book</a>. To understand grand unification of the human knowledge based in this paper I refer to a different paper of mine. <a>GUK</a>.</p>
<p> In this paper I start extending quantum gravity framework project to include consciousness and structure formation in the universe. In fact, these two may be related. Conscious aspects of the universe possibly playing bigger role in the universe. I build on philosophical insights from my <a href="”">book</a>. I discuss how global quantum reduction and rest-frame foliation is related to consciousness.</p>
<p> When the universe rises during big-bang expansion, initially it was mostly structureless. But eventually structures rises out of the universe at various scales: galaxies, stars, planets, matter, etc. Now matter which initially was inorganic, evolves into organic and eventually into living biological entities that consciously observes the Universe. To develop proper unification of concepts in fundamental physics we need sufficient conceptual foundation that describes the universe fully at conceptual level. This will also address structure formation in the universe and consciousness.</p>
<p> There are some important changes in this update, I do not assume space or time is discretized. If I use discrete model in this paper, it is only for explanatory purpose. Further research needs to be done regarding this. The framework presented is not-yet ready for application, because it is not yet complete. The ideas are brief and quite heuristic in this paper. The purpose of this paper is to establish an initial conceptual framework for quantum gravity. Further research needs to be done to complete the framework. This research will be further updated. Please follow the updates online in the sources mentioned above.</p>
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</ul>Sun, 10 Jan 2021 12:28:28 +0000Suresh Maran29 at https://www.qstaf.comhttps://www.qstaf.com/QGframework4.0#commentsQuantum Gravity Framework 3: Relative Time Formulation and Simple Applications to derive conventional Hamiltonians.
https://www.qstaf.com/QGframework3.0
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even" property="content:encoded"><p>In this paper I discuss the further update of the quantum gravity framework. The last versions are <a href="/QGframework1.0"> Quantum Gravity Framework 1 </a>, <a href="/QGframework2.0"> Quantum Gravity Framework 2</a>. When I first wrote the paper <a style="display:none" href="/QGframework1.0">Quantum Gravity Framework 1</a>, I had only hunch about how to go about deal with problem of time. I did not even know how apply the time constraint to understand the dynamics of path integral formulation of quantum gravity. But I have developed a better understanding of in it. This I have presented in this paper. Basically, there is quite a bit of flexibility with respect to which we can study the evolution of quantum state of fields both in space-time and in the internal space of particles. Basically, the choice of the dynamic frame more and more seems to depend on the observer: That is conscious itself. So, in the next update quantum gravity framework 4.0, conscious is included. </p>
<p><a href="https://publications.uniteserve.com/preprints/PHYS-QNTM-20210622-1-V7">Download from UNITESERVE Publications</a><br /><a href="https://www.researchgate.net/publication/355701849_Quantum_Gravity_Framework_3_Relative_Time_Formulation_and_Simple_Applications_to_derive_conventional_Hamiltonian"> Download from Research Gate</a><br /><a href="https://www.academia.edu/60162313/Quantum_Gravity_Framework_3_Relative_Time_Formulation_and_Simple_Applications_to_derive_conventional_Hamiltonians""> Download From Academia</a></p>
<p>In quantum gravity framework 2.0 I discussed four parts: self-time evolution, self-time decoherence, global quantum decoherence and a fourth proposal related to scale invariance, determinism, and continuum limit. In this update 3.0, I generalize the concepts to make them more relative. In this paper I discuss the relative nature of the four proposals in quantum gravity formulation 2.0 with respect to choices of observation paths in configuration space and foliation of the space-time, and I discuss the relative formulations as the quantum evolutions. </p>
<p>I introduce the relative-time evolution which is the more general form of self-time evolution and its impact on the other proposals. I also introduce the concept of rest frame foliation which I believe is physically significant in understanding global quantum reduction. This is more important in understanding conscious which will be included the <a href=""> framework 4.0 </a></p>
<p>In this paper first I discuss the applications of relative-time formulation. I have done very detailed and thorough calculation of these. This is quite unusual give that currently we are discussing the ideas in only in heuristic form.<br />
First, I discuss how to get the conventional quantum mechanics from a relativistic Hamiltonian constraint using the relative-time constraint. This is quite straightforward. Then I discuss how the time constraint formulation can be used to derive non-relativistic quantum mechanics in the context of particles. This calculation requires a thorough understanding of various terms of Hamiltonian of general relativity as applied to asymptotically flat space times.</p>
<p> This starts with various basic assumptions, regarding collection of particles interacting with each other by gravitational and gauge fields. We start with Hamiltonian constraint and apply the relative-time evolution formulation. By systematic deductions, simplifying using flat space approximations, I derive the conventional Hamiltonian including the Newtonian gravity terms. I also briefly discuss deriving the conventional Hamiltonian formulation using the relative-time evolution in the context of field theory.</p>
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</ul>Sun, 10 Jan 2021 12:19:45 +0000Suresh Maran28 at https://www.qstaf.comhttps://www.qstaf.com/QGframework3.0#commentsQuantum Gravity Framework 2.0
https://www.qstaf.com/QGframework2.0
<div class="field field-name-field-image field-type-image field-label-hidden"><div class="field-items"><div class="field-item even" rel="og:image rdfs:seeAlso" resource="https://www.qstaf.com/sites/qstaf/files/styles/large/public/field/image/Universe_0.png?itok=T8160Ii_"><img typeof="foaf:Image" src="https://www.qstaf.com/sites/qstaf/files/styles/large/public/field/image/Universe_0.png?itok=T8160Ii_" width="480" height="278" alt="Evolution of the Universe" /></div></div></div><div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even" property="content:encoded"><p class="para1"> To overcome the theoretical deficiencies in <a href="/QGframework1.0">Quantum Gravity Framework 1.0 </a>, Quantum Gravity Version 2.0 has been published. It is titled as <i> Quantum Gravity Framework 2.0 : Dynamical Framework of Principles for Quantization of General Relativity</i>. It can be accessed <a href="https://www.researchgate.net/publication/301835572_Quantum_Gravity_Framework_20_Dynamical_Framework_of_Principles_for_Quantization_of_General_Relativity">here at research gate</a>, or as <a href="http://arxiv.org/abs/1303.6539v3"> arxiv preprint </a>. The 2.0 version is technically more concrete, and but conceptually slightly different than the former. In the first version, the quantum state of system is defined on the configuration space. Time is defined as extra parameter associated with the state. Time evolution happens as the state quantum amplitude simultaneously changes at each point of the configuration space. But in version 2.0 time is considered as an internal coordinate. The evolution happens on a one parameter sequence of cross-sections of the configuration space, similar to conventional relativistic quantum mechanics. This is conceptually different from version 1.0. It is not clear which is the right way to go. Comments are welcome regarding this. </p>
<p class="para1"> A proposal to enforce continuum limit on the wave function has been included as one of the basic foundation. Some applications of the theory have been worked out. It is heuristic as of now but needs to be refined. Some experimental ways to test the theory has been suggested. The framework needs to be developed further so that it becomes more natural and internally consistent with details of physics. Further research and revisions are required. </p>
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</ul>Fri, 12 Feb 2016 07:42:21 +0000Suresh Maran20 at https://www.qstaf.comhttps://www.qstaf.com/QGframework2.0#commentsQuantum Gravity Framework 1.0
https://www.qstaf.com/QGframework1.0
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even" property="content:encoded"><p class="para1">
Fifteen years ago Allen Janis conducted a discussion group at university Pittsburgh, physics department, on the conceptual problems in quantum mechanics, and launched me on a quest to solve problem of unifying quantum mechanics and general relativity. There are two problems to be solved -- extract the classical reality and time from the infinite quantum superposition of quantum gravity. One needs a concept of objective measurement, a process in which our classical reality with space and time can emerge from the quantum world of superposition. Today I finished writing a research paper that is pragmatically, heuristically, oriented to address the two problems. It is closely related to many of the existing proposals. It can be accessed <a href="https://www.researchgate.net/publication/320548831_Quantum_Gravity_Framework_10_A_Framework_of_Principles_for_Quantum_General_Relativity_with_Time_and_Measurement">here at research gate</a>, or as <a href="http://arxiv.org/abs/1303.6539v2"> arxiv preprint </a>. </p>
<p class="para1"> The Title and abstract is as follows:<br /><br />
Title: Quantum Gravity Framework 1.0: A Framework of Principles for Quantum General Relativity with Time and Measurement.<br />
Preprint upload date: 26 march 2013 (original), 7 march 2016 (updated).<br /><em> Abstract: The purpose of this article is to outline a framework of concepts and principles to combine quantum mechanics and general relativity so that time and measurement (reduction) are present as integral parts of the basic foundations. First, the problem of time in quantum gravity and the measurement problem in quantum mechanics are briefly reviewed and the popular proposals to tackle these two problems are briefly discussed. Next, on the already known foundations of quantum mechanics, a framework of principles of dynamics is built: 1) Self-Time Evolution - Newtons first law is reinterpreted to define time, 2) Local Measurement by Local Reduction - Quantum diffusion theory is adapted, and 3) Global Evolution by Global Reduction. Ideas on how to apply the framework to study quantum general relativistic physics are discussed. Further, more general and modified forms of some of these principles are also discussed. The theoretical elements in the framework to be made concrete by further theoretical and experimental investigations are listed. </em> </p>
<p class="para1">
This paper is simply same as the original paper titled: A Framework of Principles for Quantum General Relativity with Time and Measurement, uploaded to arxiv preprint on 26 march 2013. The title has been modified to include version information and also some errors has been corrected. The original version can be accessed at <a href="https://www.researchgate.net/publication/258818367_A_Framework_of_Principles_for_Quantum_General_Relativity_with_Time_and_Measurement/references">here at research gate</a>, or as <a href="http://arxiv.org/abs/1303.6539v1"> arxiv preprint </a>.
</p>
<p class="para1">
The ideas in the paper are understandable for those who understand general relativity and quantum mechanics. The basic principles proposed are quite intuitive. Some of the ideas in the article relating to decoherence and quantum diffusion are not usually explored in graduate level courses. But with computer industry shrinking the size the circuit elements all the time towards the atomic scale, and emergence of quantum computing, influence of random processes associated with quantum measurement by the environment are important design criteria. Those who want to work in fundamental physics or applied physics really need to get a hold on decoherence theories. Quantum diffusion equation proposed in [1] is just an equivalent of density matrix evolution equations in decoherence theories. It just a modified form of the Schrödinger equation, to reproduce the probabilistic collapse, and is very natural and intuitive. But for some reasons it is not as popular as the density matrix equation in decoherence. I believe it has to be explored more.</p>
<p class="para1">
For me I have been searching for a way to include measurement in quantum gravity in an objective manner, so the classical reality can be extracted out of quantum world. The density matrix equation form of measurement was really not fitting very well because it deals with the square of wavefunction, and so is non-linear. But, I was very happy to know the modified Schrödinger form used in quantum diffusion theory, which was kind of linear. But I got hit by the problem of selecting a proper space time split of the four dimensional space-time manifold. I tried to establish a deterministic way to determine the foliation, but couldn’t. I finally made up mind the space-time split has to be determined probabilistically because of quantum collapse of the superposed quantum histories. </p>
<p class="para1">
Now the framework that I have proposed is a general theory, it can be applied to single point models, all the way to infinite point model like our 3+1 dimensional universe. I have simulated models with few points, but given the quantum nature of the theory, the quantum states are a function on a multidimensional internal space, and my laptop just couldn’t handle any thing of reasonable complexity. The next step may be testing on simple models numerically. </p>
<p class="para1">
The article is good starting point for those who want to explore the quantum aspects of reality. Attention from those who have background in physics and also in mathematics, computing are required to tackle the debacle in the foundational concepts in physics. This blog is dedicated to research in the subject matter. More updates as the research advances will be posted here. Discussion, criticisms, suggestions, comments are welcome. There is a twitter page for this blog for communication. </p>
<p class="para1">
<em>Revision info: It is almost one year that <a href="/QGframework1.0"> version 1.0 of quantum gravity framework </a> has been published. This work has not been advertised because the author has been busy with other projects that are not related to physics. On recent review of the paper, it has been observed that the paper has many problems. It is not complete; the paper reviews well known material too much so that it is hard to differentiate between new and old; some of the definitions are recursive. The arxiv link has an updated article with improvements. <br /><br />
A more advanced and slightly conceptually different revision of the article has been published. Please read the <a href="/QGframework2.0"> next article </a>. <br /><br /></em><br />
Reference:<br />
[1] Nicolas Gisin and Ian C. Percival, Quantum State Diffusion Models applied to quantum systems, J. Phys. A: Math.Gen.25 (1992) 5677-5671
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</ul>Mon, 25 Mar 2013 20:12:56 +0000Suresh Maran19 at https://www.qstaf.comhttps://www.qstaf.com/QGframework1.0#comments