Deduction of Lorentz Transformations from Classical Thermodynamics

Parga, A.M. Ares de; Angulo‐Brown, F.; Parga, G. Ares de

doi:10.3390/e17010197

Cited by 4 publications

(3 citation statements)

References 37 publications

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“…The possibility of other causes for the 2.7 • K mbr have been suggested in the past. In a recent series of papers, Ares de Parga and coworkers [44,45,46,47,48,49,50] have developed a complete and consistent theory of relativistic thermodynamics. They have extended it to both classical statistical mechanics and quantum statistical mechanics and obtained the particle number density due to Henry [51].…”

Section: 21mentioning

confidence: 99%

The Einstein dual theory of relativity

Gill¹,

Parga²

2019

astp

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1.1. Newtonian Mechanics. As reported by Sommerfeld, Minkowski knew that the differential of proper time is not an exact one-form (see the notes in [9]). Thus, he introduced the co-moving observer as a substitute in order to use it as a metric.Einstein, Lorentz, Poincaré, Ritz and other important thinkers on the subject maintained their belief that space and time had distinct physical properties. Einstein was the first to oppose Minkowski's postulate openly. As noted by Sommerfeld, Einstein was critical of Minkowski's implicit assumption that no physics was lost by constraining the differential of proper time. Einstein and Laub later published two papers on electrodynamics, which offered a different approach, was simpler and did not depend on the spacetime formalism (see [10], [11]). They argued that the spacetime formalism was complicated, required additional assumptions and did not add any new physics.Sommerfeld later simplified Minkowski's complicated formulation, making it easy for physicists to understand the new tensor methods. The new trend towards abstracting concepts and methods automatically made the theory attractive to mathematicians. This made Minkowski's ideas even more popular and helped to bring them to the attention of the masses. In this air of euphoria, it was not noticed that the theory did not work for two or more particles and thus was far from an extension of Newton's mechanics. (This is the true cause of the twin paradox.)By the time problems in attempts to merge the special theory with quantum mechanics forced researchers to take a new look at the foundations of electrodynamics, Minkowski's postulate had become sacred. When Einstein considered the extension of the special to the general theory, he was only interested in one which extended Minkowski's postulate (see Pais [12] and [13]).

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Section: 21mentioning

confidence: 99%

The Einstein dual theory of relativity

Gill¹,

Parga²

2019

astp

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“…For example, some papers suggest that temperature is invariant, [2][3][4][5][6] while others suggest it is not. 2,3,6 Such questions will be avoided entirely. The relativistic kinetic theory 7 will not be considered either.…”

Section: Introductionmentioning

confidence: 99%

A theoretical approach to the possibility of an upper limit to temperature

Aiyuk

2018

OAJMTP

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Temperature is known to have a lower limit, absolute zero corresponding to a temperature of 0K. Is there also an upper limit above which matter as we know it cannot exist? This paper is aimed at obtaining a theory for the establishment of a possible upper limit to temperature, with the use of concepts from thermodynamics and special relativity. This is done by using the kinetic theory and ideal gas equation to obtain an expression of temperature as a function of velocity of the particles, then using special relativity to establish the speed of light as a velocity barrier, thus providing a corresponding upper limit to temperature. Such a temperature should be unreachable, or the particles would be moving at the speed of light, which is against the second postulate of special relativity. This approach leads to results indicating the existence of not one but several temperature limits, characteristic to each element.

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“…Nevertheless, in the first years of this century, Landsberg and Matsas proposed that it is not possible to define a universal definition of the temperature [6], [19], [20] [21], [22]. Based on Fermi ideas of instantaneity and a formal definition of a 4−vector [23], [24], [25], [26], Ares de Parga et al developed a new theory which is known as the Redefined Relativistic Thermodynamics [27], [28], [29], [30], [31], [32], [33], [34].…”

Section: Introductionmentioning

confidence: 99%

A further analysis of the energy-momentum for a system of point particles and for a perfect fluid in finite volume

Parga

González-Narváez

2017

J. Phys.: Conf. Ser.

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Abstract. A simple analysis of the total energy-momentum of a system of non-interacting point particles shows that it represents a well defined 4-vector. A generalization for interacting charged particles including the self-forces is developed. A comparison between a system of point particles in an infinite volume and the perfect fluid in a finite volume is done. The finite volume case is analyzed in order to define an energy-momentum depending on the notion of instantaneity for a perfect fluid. The relativistic transformations of thermodynamic quantities are defined in a covariant form leading to a redefined relativistic Thermodynamics.

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Deduction of Lorentz Transformations from Classical Thermodynamics

Cited by 4 publications

References 37 publications

The Einstein dual theory of relativity

The Einstein dual theory of relativity

A theoretical approach to the possibility of an upper limit to temperature

A further analysis of the energy-momentum for a system of point particles and for a perfect fluid in finite volume

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