Using of the Generalized Special Relativity in Deriving the Equation of the Gravitational Red-Shift

Hilo, M. H. M.

doi:10.4236/jmp.2011.25045

Cited by 4 publications

(5 citation statements)

References 3 publications

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“…Although introductory textbooks of relativity will all note how you can derive non-relativistic kinetic energy by a simple binomial expansion, no one has shown how full non-relativistic Lagrangian and Energy conservation expressions can be derived through one simple assumption. Although Hilo (2011) and Hilo et al (2012) get close to this goal through their Generalized Special Relativity (GSR), their work starts with a construction based in GR, whereas here we justify their conclusions based on Einstein's postulate of a variable speed of light.…”

Section: Methodsmentioning

confidence: 76%

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G4v and the Correspondence Principle

Piasecki¹

2023

Preprint

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G4v is a four-vector theory of gravitation proposed by Mead (2015) which reproduces several major results commonly celebrated for the tensor-based approach of General Relativity (GR). Here, we show that G4v obeys the correspondence principle, an important test of any relativistic theory. We derive the non-relativistic Lagrangian and Energy expressions at the limit of low speeds and potentials, complete with the correct terms for potential energy (something traditional Special Relativity is incapable of achieving). Although most predictions of G4v line up with GR, the polarization of the gravitational waves was shown to be starkly different. We await tests of G4v in future gravitational wave polarization experiments.

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Section: Methodsmentioning

confidence: 76%

“…Deeper derivations can be found in Hilo (2011) and Austin (2017). We can make a straightforward derivation by utilizing Eq.…”

Section: Conflicts Of Interestmentioning

confidence: 99%

G4v and the Correspondence Principle

Piasecki¹

2023

Preprint

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“…Using the Newtonian and quantum expressions of momentum and its relation with the force (1 -5), a new simple derivation has been used to derive the conventional expression of the effective mass (9). Newton's second law of motion (11) and (12) only has also been used to find relation (13). When no external field exists (see (16)), the effective mass vanishes (see (7)).…”

Section: Discussionmentioning

confidence: 99%

“…The main physical phenomena which confirm his belief are the gravitational red shift and the effective mass phenomenon. In the gravitational red shift phenomenon the photon mass increases due to the gravitational potential [12]. While in the electron effective mass phenomenon the electron mass is affected by the crystal field [13].…”

Section: Introductionmentioning

confidence: 99%

Effective Mass Model Reduced to Ordinary Mass Using Newton’s, Quantum and Generalized Special Relativity

Ahmed¹,

Ahmed²,

Abd-Alla³

2021

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The concept of the effective mass in crystals shows that the electron mass is affected by the crystal field and was experimentally verified. A useful expression for effective mass was obtained. Unfortunately this expression showed that the effective mass vanishes in the absence of the external field. This is in conflict with observations which show that it reduces to the ordinary mass. To cure this defect a new model is developed assuming the existence of vacuum force as verified experimentally as shown by Casimir effect. Using Newton's second law and the quantum expression of momentum, useful expressions were found. The same expression was found using generalized special relativity. Strikingly the three models reduced to the conventional one in the absence of vacuum, they also reduced to the ordinary electron mass in the absence of all forces.

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“…Mubarak model, the matter energy-momentum tenser relation on the generalized Lorentz factor ( ) r derived from the space-time interval in the curve space, was utilized to construct the seminal EGSR model; time, length, mass and energy are dependent on the field potential as well as velocity [6].…”

Section: Introductionmentioning

confidence: 99%

Deriving of the Generalized Special Relativity (GSR) by Using Mirror Clock and Lorentz Transformations

Hilo¹,

Elgani²,

Elhai³

et al. 2014

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Einstein relativity theory shows its high capability of promoting itself to solve the long stand physical problems. The so-called generalized special relativity (GSR) was derived later, using the beautiful Einstein relation between field and space-time curvature. In this work we re-derive (GSR) expression of time by incorporating the field effect in it, and by using mirror clock and Lorentz transformations. This expression reduces to that of (GSR) the previous conventional one, besides reducing to special relativistic expression. It also shows that the speed of light is constant inside the field and is equal to C. This means that the observed decrease of light in matter and field is attributed to the strong interaction of photons with particles and mediates which causes successive absorption and reemission processes that lead to time delay. This absorption process makes some particles appear to move faster than light within the field or medium. This new expression, unlike that of GSR, can describe time and coordinate relativistic expressions for strong as well as weak fields at constant acceleration.

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Using of the Generalized Special Relativity in Deriving the Equation of the Gravitational Red-Shift

Cited by 4 publications

References 3 publications

G4v and the Correspondence Principle

G4v and the Correspondence Principle

Effective Mass Model Reduced to Ordinary Mass Using Newton’s, Quantum and Generalized Special Relativity

Deriving of the Generalized Special Relativity (GSR) by Using Mirror Clock and Lorentz Transformations

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