Exchanging Range of Fundamental Interactions

2-fctor change in the exchanging range of fundamental interactions

S. S. Mortazavi, A. Farmany

What Citation Styles Can You Use for My Essay?

Students often ask, “Can you write my essay in APA or MLA?”—and the answer’s a big yes! Our writers are experts in every style imaginable: APA, MLA, Chicago, Harvard, you name it. Just tell us what you need, and we’ll deliver a perfectly formatted paper that matches your requirements, hassle-free.

Department of Sciences, Hamedan Branch, Islamic Azad University, Hamedan, Iran

Abstract

Minimal length uncertainty is used to study the fundamental interactions range. Both the quantum mechanical and the quantum gravitational effects are employed to calculate the range of exchanging interactions. It is shown that at the Planck scale, the range of interactions is 2- factor larger than the usual range of interactions.

Introduction

Is It Legal to Use Your Writing Service?

Absolutely, it’s 100% legal! Our service provides sample essays and papers to guide your own work—think of it as a study tool. Used responsibly, it’s a legit way to improve your skills, understand tough topics, and boost your grades, all while staying within academic rules.

Study of unification of all fundamental interaction in the early universe is quite interesting problem in the both modern cosmology and quantum field theory point of view [1,2,3]. The modern scenario of the big bang cosmology at the early universe covered in the Weinberg’s First Three Minutes [4], and certain time regimes have been proposed with type of events as, before one Planck time, era of a Planck time, separation of the strong interaction, inflationary period, quark-antiquark period and finally the quark confinement. In this scenario, before the Planck time all of the four fundamental interactions are unified as one interaction etc [5]. Fundamental interactions are containing gravitation, electromagnetism, weak and strong interaction. However, because the effective QCD coupling is not small, performing a precise calculation f long-range strong interaction effects is problematic and we cannot use the perturbation theory [6]. At current analysis, the range of exchanging interaction [3] is calculated by taking into account the Heisenberg uncertainty principle that only considers the quantum effects. It is believed that the unification of fundamental interactions may accurse at the Planck regime. At the Planck regime, both the quantum and quantum gravitational effects are important. To have a complete analysis of exchanging interaction we must consider both quantum and quantum gravitational effects to our analysis. In this letter we have developed an approach related to the unification focusing on the effective range of interactions. Quantum field theory explains the exchanging of energy during the interactions via the interaction carriers, called bosons. The mechanism is based on the emitting particles which have no reality except to push or pull matter with the exchanging momentum. All fundamental interactions are involves the exchanging of one or more particles. For example the underlying color is involved an exchanging of particles labeled by gluons. Such exchanging interaction may be either attractive or repulsive, but is limited in the range by the nature of exchanging interaction that is constrained by the uncertainty principle.

The separation of fundamental interactions in the early universe may be related to the separation of exchanging range of virtual particles based on the spontaneous symmetry breaking mechanism [1-5]. Alternatively, this may be viewed as a mechanism to separation of fundamental interactions. For example the range of color interaction is the shortest range and the range of gravity is the longer range. But in the early universe or in a very high energy probe there is unification between fundamental interactions. To obtain a complete picture of the range of exchanging interactions in a high-energy probe, it is important to consider both the quantum mechanical and quantum gravitational effects, by imposing the minimal length uncertainty relation. The problem is related to consider the quantum gravity effects on the exchanging interactions range.

To study the quantum gravity effects on the exchanging particles, we can use the minimal length uncertainty [6-9],

How Much Does It Cost to Get a Paper Written?

Our pricing starts at $10 per page for undergrad work, $16 for bachelor-level, and $21 for advanced stuff. Urgency and extras like top writers or plagiarism reports tweak the cost—deadlines range from 14 days to 3 hours. Order early for the best rates, and enjoy discounts on big orders: 5% off over $500, 10% over $1,000!

(1)

Where is the Planck length. Dividing both side of relation (1) to the speed of light, we obtain a deformed form of usual time energy uncertainty as [9],

(2)

Where is the Planck time. Putting the natural units as, eq. (2) reads,

Will My Use of This Service Stay Private?

Yes, totally! We lock down your info with top-notch encryption—your school, friends, no one will know. Every paper’s custom-made to blend with your style, and we check it for originality, so it’s all yours, all discreet.

(3)

Solving (3) to minimum energy we obtain,

(4)

Expanding (4) around t’=0, obtains,

Do You Use AI to Write Papers?

No way—our papers are 100% human-crafted. Our writers are real pros with degrees, bringing creativity and expertise AI can’t match. Every piece is original, checked for plagiarism, and tailored to your needs by a skilled human, not a machine.

(5)

The energy of interaction which involves the exchanging particles is constrained by the uncertainty principle. According to special relativity a particle with mass of m has a rest energy as. So in the exchanging process, the particle does not go outside the constraints of uncertainty principle,

(6)

Combining (5) and (6) we give,

Why Choose You for Research Papers?

We’re the best because our writers are degree-holding experts—Bachelor’s to Ph.D.—who nail any topic. We obsess over quality, using tools to ensure perfection, and offer free revisions to guarantee you’re thrilled with the result, even on tight deadlines.

(7)

Theoretically, the exchanging particle “virtual particle” cannot exceed the speed of light and cannot travel faster than the speed of light c times than lifetime. Since the maximum range of a interaction () would be

(8)

The r.h.s of relation (8) have two term, the first term is the usual range of exchanging interaction and is a new term, this new term is obtained from the correction based on the minimal length uncertainty analysis. An important problem in the standard model is study of the unification of all fundamental interactions at the Planck time. If the usual range of fundamental interactions was compared with the range of fundamental interactions at the Planck scale, w obtain a surprising result. According to (8) each interaction contains two ranges of exchanging, and. If , then eq. (8) reads the usual range as,

Who’s Writing My College Essays?

Our writers are top-tier—university grads, many with Master’s degrees, who’ve passed tough tests to join us. They’re ready for any essay, working with you to hit your deadlines and grading standards with ease and professionalism.

R ^usual (9)

At the Planck time when, eq. (8) reads,

(10)

Comparing (9) with (10) we have,

Are Your Papers Original?

Always! We start from scratch—no copying, no AI—just pure, human-written work with solid research and citations. You can even get a plagiarism report to confirm it’s 95%+ unique, ready for worry-free submission.

R ^planck = 2 R ^usual (11)

From (11) it may be concluded that at the Planck scale, the range of interactions is 2- factor larger than the usual range of interactions.

Conclusion

A complete picture of the range of fundamental interactions may be obtained considering both the quantum mechanical and quantum gravitational effects. Using minimal length uncertainty the range of exchanging virtual particles is calculated. As shown by (11) at the Planck regime, the range of interactions is 2- factor larger than usual one. It is found that in the exchanging process of fundamental interactions, the mass of the carrier interactions (bosons) is an effective parameter.

Can You Match Any Citation Style?

You bet! From APA to IEEE, our writers nail every style with precision. Give us your guidelines, and we’ll craft a paper that fits your academic standards perfectly, no sweat.

References

[1] S. R. Coleman and E. Weinberg, Phys. Rev. D7, 1888 (1973).

[2] J. Goldstone, Nuovo Cim. 19, 154 (1961), J. Goldstone, A. Salam, and S. Weinberg, Phys. Rev.127, (1962) 965, J. Nambu and G. Jona-Lasinio, Phys. Rev. 122 (1961) 345.

[3] H. B. Nielsen and S. Chadha, Nucl. Phys. B105, (1976) 445.

Can I Update Instructions Mid-Order?

Yep! Use our chat feature to tweak instructions or add details anytime—even after your writer’s started. They’ll adjust on the fly to keep your essay on point.

[4] P. Gaete and E. I. Guendelman, Phys. Lett. B640, 201 (2006) P. Gaete, E. Guendelman, E. Spallucci, Phys. Lett. B649: 218-224, 2007 V. A. Miransky and I. A. Shovkovy, Phys. Rev. Lett. 88,111601 (2002). T. Brauner, Phys. Rev. D72, 076002 (2005),J. van Wezel, J. van den Brink, arXiv:physics/0609177, H. Fritzsch, M. Spannowsky, Europhys.Lett. 75 (2006) 882-886, X. Calmet Eur. Phys. J. C, 28 (2003) 451-454 ; X.Calmet and J.F. Oliver hep-ph/0606209 (2006).

[5] S. Glasho, H. Georgi, Phys. Rev. Lett. 32, 438 (1974), H. Fritzsch and P. Minkowski, Annals Phys. 93 (1975) 193; H. Georgi, in Particles and Fields, (AIP, New York, 1975). H. Georgi, H. R. Quinn and S. Weinberg, Phys. Rev. Lett. 33 (1974) 451. P. Cziffra, M. H. MacGregor, M. J. Moravcsik, H. P. Stapp, Phys. Rev. 114(1959)880 P. Signell, Phys. Rev. Lett. 5(1960)1474 J. Binstock, R. Bryan, Phys. Rev. D 4(1971)1341 J. L. Friar, B. F. Gibson, G. L. Payne Phys. Rev. C 30 (1984)1084,

[6] P. V. Landshoff, Acta Physica Polonica B 39(2008)2063

[7] R. Adler, Mod. Phys. Lett .A 14 (1999)1371, R. Adler, P. Chen, D. Santiago, Gen. Rel. Grav. 33 (2001) 2101, A. Kempf, G. Managano, Phys. Rev. D 55 (1997) 7909, M. Maggior, Phys. Rev. D 49(1994)5182 ,

How Do I Get an Essay Written?

Easy—place your order online, and your writer dives in. Check drafts or updates as you go, then download the final paper from your account. Pay only when you’re happy—simple and affordable!

[8] S. Hossenfelder et al, Phys.Rev. D73 (2006) 105013, Phys.Lett. B632 (2006) 379-383

[9] A. Farmany. S. Abbasi, A. Naghipour, Phys. Lett. B 650(2007)33, ibid Erratum 659 (2008) 913

Tags: Buy essay USA, Custom Dissertation Writing Services for PhD Students, UK - Cheap Essay Writing Service, Write My Essay Fast - Plagiarism-Free AI Writing Tool