Immeasurability of Zero-Point Energy in?the?Cosmological Constant Problem

A huge discrepancy between the zero-point energy calculated from quantum theory and the observed quantity in the Universe has been one of the most illusive problems in physics. In order to examine the measurability of zero-point energy, we construct reference frames in a given measurement using observables. Careful and explicit construction of the reference frames surprisingly reveals that not only is the harmonic oscillator fluctuating at the ground level, but so is the reference frame when the measurement is realized. The argument is then extended to examine the measurability of vacuum energy for a quantized electromagnetic field, and it is shown that while zero-point energy calculated from quantum theory diverges to infinity, it is not measurable.     

Zero-Point Energy of Quantum Fields in a Schwarzschild Geometry

The effective Lagrangian and the zero-point (or Casimir) energy is calculated from the zeta-function which is obtained by the heat kernel method using the expansion of (Bormann and Antonsen, 1995). Calculated this way this unavoidable energy contribution is automatically regularised and ready for further investigation. Interesting observations include a large energy contribution (from scalar field and fermionic zero-point fluctuations) that is non-zero as the mass goes to zero, perhaps indicating a topological origin. Also, plots of the contribution of gauge boson fields to the zero-point energy, as a function of radial distance (gravitational field strength) and the size of the gauge boson coupling (gauge field strength) shows great variation, notably the occurrence of resonances.     

Indelible Rules of Josephson Coupling Energy and Zero-Point Energy in High-Tc Cuprates

This paper shows that the Josephson coupling energy and the zero-point energy have indelible rules on the superfluid density and the superconductivity in the high-T_c cuprates. This paper also shows that the values of T_c at underdoped and overdoped regions are determined by the damage conditions of the phase coherence in the classical and the quantum XY-models, respectively.     

Energy of Phonons and Zero-Point Vibrations in Compressed Rare-Gas Crystals

Physics of the Solid State - A dynamic matrix of rare-gas crystals is constructed within the model of deformable and polarizable atoms based on the nonempirical short-range repulsion potential...     

A possible gravitational Planck's constant

The hypothesis is made that Planck's constant involved in gravitational interactions, has a value different from that measured in electromagnetic interactions. An attempt is made to give a value to this gravitational constant.     

A cosmological derivation of Planck's constant

Neoclassical accounts of some supposedly quantum phenomena can be given provided one assumes a classical analog of the zero-point electromagnetic fluctuations. The present work shows that such will arise from Wheeler-Feynman electrodynamics in a steady-state universe provided the coherence cancelling advanced effects breaks down over cosmic distances.     

Electrodynamics in the Zero-Point Field: On the Equilibrium Spectral Energy Distribution and the Origin of Inertial Mass

Attempts at an electromagnetic explanation of the inertial mass of charged particles have recently been revived within the framework of Stochastic Electrodynamics, characterized by the adoption of a classical version of the electromagnetic zero-point field (ZPF). Recent claims of progress in this area have to some extent received support from related claims that the classical equilibrium spectrum of charged matter is that of the classically conceived ZPF. The purpose of this note is to suggest that some strong qualifications should accompany these claims. It is pointed out that a classical massless charge cannot acquire mass from nothing as a result of immersion in any EM field, and therefore that the ZPF alone cannot provide a full explanation of inertial mass. Of greater concern, it is observed that the peculiar circumstances under which classical matter is in equilibrium with the ZPF do not concur with observation.     

ZM模型中零点能修正对核子有效质量的影响

基于ZM模型,讨论了真空零点能的贡献.认为真空零点能不能简单地丢掉,所以零点能中与温度相关的有限部分被分离了出来,并具体讨论了在核物质中这一零点能修正对核子有效质量的影响,发现在高温时它有着非平庸的贡献.     

On the uniqueness of Planck's constant

It is shown that, for the case of two different particles associated with two different Planck constants, an appropriate generalized center-of-mass transformation allows one to retain the relevant constants of the motion. Therefore, some of the problems arising from the (postulated or experimentally determined) existence of several quantization constants appear to be avoidable.     

Planck's constant and the theory of the red shift

This paper deals with problems on the threshold between General Relativity Theory and Quantum Theory. It contains some simple reasoning from which it follows that the so-called constanth cannot, in fact, be regarded as constant in General Relativity Theory.     

用电容充电法测量普朗克常量

提出一种利用光电管产生的光电流给电容充电来准确测量光电管截止电压的方法,从而得到普朗克常量.实验中采用了6种颜色的LED器件做光源直接照射光电管上,并通过具有高输入阻抗的数据采集卡实时测量电容两端的电压.实验测得的普朗克常量值与公认值的误差小于3％.     

Underlying probability distributions of Planck's radiation law

The derivation of Planck's radiation law can be considered as a transformation of a thermodynamic relation for black-body radiation into a fundamental relation in which the error law is the negative binomial distribution. In both limiting frequency ranges it transforms into Poisson distributions; in the Wien limit, it is the distribution of the number of photons, whose most probable value is given by Boltzmann's expression, while in the Rayleigh-Jeans limit, it is the distribution of the number of Planck oscillators. In the general case, they are Bernoullian random variables. In the Rayleigh-Jeans limit, the probability of determining the number of oscillators in a given frequency interval for a fixed value of the energy can be inverted to determining the probability of the energy for a fixed number of oscillators. The probability density is that of the canonical ensemble.     

Analysis of Zero-Point Isotherm of Hydrogen Isotopes in the Ultrahigh Pressure Range

Journal of Experimental and Theoretical Physics - We describe the experimental setup, as well as results and analysis of experiments on isothermal compression of stable hydrogen isotopes, viz.,...     

Planck's Orders of Magnitude and the Limits of the Quantum Gravity Conception

Considering gravitational Euler scattering and energy fluctuations of gravitational Planck radiation it is shown that - due to the nonlinearity of Einstein's equations - there arise effective cut-of lengths preventing the measurability of quantum vacuum effects near Planck's length.     

Physical interpretation of Planck's constant based on the Maxwell theory

The discovery of the Planck relation is generally regarded as the starting point of quantum physics.Planck's constant h is now regarded as one of the most important universal constants.The physical nature of h,however,has not been well understood.It was originally suggested as a fitting constant to explain the black-body radiation.Although Planck had proposed a theoretical justification of h,he was never satisfied with that.To solve this outstanding problem,we use the Maxwell theory to directly calculate the energy and momentum of a radiation wave packet.We find that the energy of the wave packet is indeed proportional to its oscillation frequency.This allows us to derive the value of Planck's constant.Furthermore,we show that the emission and transmission of a photon follows the all-or-none principle.The "strength" of the wave packet can be characterized by ζ,which represents the integrated strength of the vector potential along a transverse axis.We reason that ζ should have a fixed cut-off value for all photons.Our results suggest that a wave packet can behave like a particle.This offers a simple explanation to the recent satellite observations that the cosmic microwave background follows closely the black-body radiation as predicted by Planck's law.     

Global Positioning System test of the local position invariance of Planck's constant

Publicly available clock correction data from the Global Positioning System was analyzed and used in combination with the results of terrestrial clock comparison experiments to confirm the local position invariance (LPI) of Planck's constant within the context of general relativity. The results indicate that h is invariant within a limit of |β(h)|<0.007, where β(h) is a dimensionless parameter that represents the extent of LPI violation.