On the integral law of thermal radiation

Gusev, Yu. V.

doi:10.1134/s1061920814040049

Cited by 5 publications

(5 citation statements)

References 55 publications

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“…It shows that threshold for the appearance of the boundary (finite size) effects in the lattice specific heat is many orders of magnitude higher than in thermal radiation phenomena, where κ ≈ 3.3 · 10 −4 K m, [28]. Assuming an experimental uncertainty is 1%, we expect that the finite size effects at low temperatures, e.g., 1 < T < 10 K, could appear only in systems of a nanometer size, i.e., with r ∝ 10 −9 m. In the specific heat experiments with 'macroscopic' samples, [29][30][31], the finite size effects can be seen only at sub-Kelvin temperatures.…”

Section: Finite Size Effectsmentioning

confidence: 94%

“…The α → 0 asymptotics (28) derived in this field theory formalism corresponds to the Dulong-Petit limit. In finite temperature QFT for condensed matter, the Dulong-Petit limit emerges from the minimum length proportional to the lattice constants that cuts off the range of short wavelengths, when the field theory ceases to be valid.…”

Section: B Molar Specific Heatmentioning

confidence: 95%

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The field theory of specific heat

Gusev

2016

Russ. J. Math. Phys.

121

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Finite temperature quantum field theory in the heat kernel method is used to study the heat capacity of condensed matter. The lattice heat is treated a la P. Debye as energy of the elastic (sound) waves. The dimensionless functional of free energy is re-derived with a cut-off parameter and used to obtain the specific heat of crystal lattices. The new dimensionless thermodynamical variable is formed as the Planck's inverse temperature divided by the lattice constant. The dimensionless constant, universal for a class of crystal lattices, which determines the low temperature region of molar specific heat, is introduced and tested with the data for diamond lattice crystals.The low temperature asymptotics of specific heat is found to be the fourth power in temperature instead of the cubic power law of the Debye theory. Experimental data for the carbon group elements (silicon, germanium) and other materials decisively confirm the quartic law. The true low temperature regime of specific heat is defined by the surface heat, therefore, it depends on geometrical characteristics of a body, while the absolute zero temperature limit is geometrically forbidden. The limit on a growth of specific heat at temperatures close to critical points, known as the Dulong-Petit law, appears from the lattice constant cut-off. Its value depends on the lattice type and it is the same for materials with the same crystal lattice. The Dulong-Petit values of compounds are equal to those of elements with the same crystal lattice type, if one mole of solid state matter were taken as the Avogadro number of the lattice atoms. This means the Neumann-Kopp rule is valid only in some cases.

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Section: Finite Size Effectsmentioning

confidence: 94%

Section: B Molar Specific Heatmentioning

confidence: 95%

The field theory of specific heat

Gusev

2016

Russ. J. Math. Phys.

121

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“…these laws are neither universal, nor exact, e.g. [55]. Therefore, thermal radiation physics cannot provide principles for building fundamental theories.…”

Section: Discussionmentioning

confidence: 99%

The action and the physical scale of field theory

Gusev¹

2018

Preprint

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The evolution equation is used as the fundamental equation of field theory, which is described entirely by the geometry of the four-dimensional space. The evolution kernel determines the covariant effective action of physical fields by the proper time integral. This axiomatic definition introduces into dimensionless theory the universal physical scale (characteristic length). The universal scale relates the action's geometrical orders expressed in the field strength tensors. The covariant effective action is finite at any order in the curvatures and nonlocal starting from the second order. Its two lowest, local orders correspond to the cosmological constant term and the gravity action. The action of gauge fields appears in the second order term. The higher, nonlocal orders generalize the classical actions of gravity and gauge fields. The characteristic length is determined by the measured Hubble constant. The Planck scale values have no physical significance.The physical dimensionality is violated in functional integration. The dimensional regularization is an ill-defined procedure.

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“…The empirical formula of M. Planck for the frequency distribution of thermal radiation was based on the measurements done in the 19th century, [8]. It is neither exact, nor universal, as precision measurements and modern mathematical physics show [12]. Besides, Planck's theoretical analysis is based on over-idealization of a physical model for the radiating black-body, thus, some of its basic assumptions were wrong [13].…”

mentioning

confidence: 99%

The Revised SI of physical units (2019), Max Planck (1900), and 'Planck scale'

Gusev¹

2023

Preprint

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The 9th edition of the International System of Units (SI) adopted in 2019 is based on the notion that the defining (formerly 'fundamental') physical constants have accidental values assigned ad hoc. This idea first appeared in a hypothetical system of 'natural units' proposed by Max Planck in 1900. If these constants are assigned unity then the defined physical units accept unusual numerical values, commonly called 'Planck values, which are also accidental. The analysis of Planck's works affirms that 'Planck values' were deemed arbitrary and Planck never considered them as physically significant. Consequently, 'Planck length', 'Planck mass', 'Planck energy' etc, used as scales in many models, are irrelevant to physics. According to modern metrology, the foundation of physics as an experimental science, such models are theoretically inconsistent, while 'Hierarchy Problem' of high-energy theories does not exist.

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On the integral law of thermal radiation

Cited by 5 publications

References 55 publications

The field theory of specific heat

The field theory of specific heat

The action and the physical scale of field theory

The Revised SI of physical units (2019), Max Planck (1900), and 'Planck scale'

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