New full relativistic escape velocity and new Hubble related equation for the universe

The escape velocity derived from general relativity coincides with the Newtonian one. However, the Newtonian escape velocity can only be a good approximation when v ≪ c is sufficient to break free of the gravitational field of a massive body, as it ignores higher-order terms of the relativistic kinetic energy Taylor series expansion. Consequently, it does not work for a gravitational body with a radius at which v is close to c such as a black hole. To address this problem, we revisit the concept of relativistic mass, abandoned by Einstein, and derive what we call a full relativistic escape velocity. This approach leads to a new escape radius, where ve = c equal to a half of the Schwarzschild radius. Furthermore, we show that one can derive the Friedmann equation for a critical universe from the escape velocity formula from general relativity theory. We also derive a new equation for a flat universe based on our full relativistic escape velocity formula. Our alternative to the Friedmann formula predicts exactly twice the mass density in our (critical) universe as the Friedmann equation after it is calibrated to the observed cosmological redshift. Our full relativistic escape velocity formula also appears more consistent with the uniqueness of the Planck mass (particle) than the general relativity theory: whereas the general relativity theory predicts an escape velocity above c for the Planck mass at a radius equal to the Planck length, our model predicts an escape velocity c in this case.

New Derivation of Redshift Distance without Using Power Expansions

Here we use the flat Friedmann-Lemaitre-Robertson-Walker metric describing a spatially homogeneous and isotropic universe to derive the cosmological redshift distance in a way which differs from that which can be found in the astrophysical literature. We use the co-moving coordinate re (the subscript e indicates emission) for the place of a galaxy which is emitting photons and ra (the subscript a indicates absorption) for the place of an observer within a different galaxy on which the photons - which were traveling thru the universe - are absorbed. Therefore the real physical distance - the way of light - is calculated by D = a(t0) ra - a(te) re. Here means a(t0) the today’s (t0) scale parameter and a(te) the scale parameter at the time of emission (te) of the photons. Nobody can doubt this real travel way of light: The photons are emitted on the co-moving coordinate place re and are than traveling to the co-moving coordinate place ra. During this traveling the time is moving from te to t0 (te ≤ t0) and therefore the scale parameter is changing in the meantime from a(te) to a(t0). Using this right way of light we calculate some relevant classical cosmological equations (effects) and compare these theoretical results with some measurements of astrophysics. As one result we get e.g. the today’s Hubble parameter H0a ≈ 62.34 km/(s Mpc). This value is smaller than the Hubble parameter H0,Planck ≈ 67.66 km/(s Mpc) resulting from Planck 2018 data [12] which is discussed in the literature.

Expansion of the Universe and cosmological redshift

The re-examination of light propagation in space described by the Friedmann-Lemaitre-Robertson-Walker (FLRW) metric reveals surprisingly that this metric does not predict the cosmological redshift as so far incorrectly supposed. It is shown that the change in the frequency of light is always connected with time dilation, similarly as for the gravitational redshift. Therefore, the conformal time must be considered as the cosmic time at the high redshift universe and the original FLRW metric must be substituted by its conformal version. The correctness of the proposed conformal metric is convincingly confirmed by Type Ia supernovae (SNe Ia) observations. The standard FLRW metric produces essential discrepancy with the SNe Ia observations called the ‘supernova dimming’, and consequently dark energy has to be introduced to comply theoretical predictions with data. By contrast, the conformal FLRW metric fits data well with no need to introduce any new free parameter. Hence, the discovery of the supernova dimming actually revealed the failure of the FLRW metric and introducing dark energy was just an unsuccessful attempt to cope with the problem within this false metric. Obviously, adopting the conformal FLRW metric for describing the evolution of the Universe has fundamental cosmological consequences.

Local Scale Covariance and Its Radical Implications for Cosmology

Local scale covariance posits that no privileged length scales should appear in the fundamental equations of local, Minkowskian physics—why should nature have scale, but not position preferences?—yet, they clearly do. A resolution is proposed wherein scale covariance is promoted to the status of Poincaré covariance, and privileged scales emerge as a result of `scale clustering’, similarly to the way privileged positions emerge in a translation covariant theory. The implied ability of particles to `move in scale’ has recently been shown by the author to offer a possible elegant solution to the missing matter problem. For cosmology, the implications are: (a) a novel component of the cosmological redshift, due to scale-motion over cosmological times; (b) a radically different scenario for the early universe, during which the conditions for such scale clustering are absent. The former is quantitatively analyzed, resulting in a unique cosmological model, empirically coinciding with standard Einstein–de-Sitter cosmology, only in some non-physical limit. The latter implication is qualitatively discussed as part of a critique of the conceptual foundations of ΛCDM which ignores scale covariance altogether.

The expansion of the Universe may be an illusion created by Compton scattering of free electrons

The high-precision measurements of the Hubble parameter make the theory of cosmic expansion more and more confusing, which bolster the idea that new physics may be needed to explain the mismatch. The cosmological redshift may not only be related to distance but also to other factors. The expansion of the Universe may be just an illusion. The Compton effect of free electrons and low energy photons has been observed in the laboratory. This article proposes a theory: Free electron Compton scattering (FEC) produce the illusion of the Universe exponential expansion: FEC causes photons to redshift (FEC redshift), and the photon beam expands along the propagation direction, that is, the redshift factor is (1 + z); the beam length stretch factor (time dilation of the supernova curve) is (1 + z); the expansion factor of the beam volume is (1 + z)3, and FEC will not be blurred Distant galaxy. The reason for rejecting the “tired light” does not hold in FEC.

Time-varying Doppler Effect formula and its application in Cosmology

The Doppler effect for electromagnetic waves results in either a redshift or blueshift of light and is of great use in astronomy. It has been used to measure the speed of stars and galaxies approaching or receding from the earth. Currently, all Doppler effect formulas only work for constant velocities. Hence, the application of the Doppler effect includes the implicit assumption of a constant velocity of the motion during the period from the light emission to measurement. Since the light from remote stars detected from Earth may be from millions of years ago, it is difficult to assume that these stars kept moving at constant velocity for the long period, which may become a potential concern. A time-varying Doppler effect formula is mathematically derived from the principle of constant light speed, which is consistent with the classical and the redshift formulas. This formula is also supported by existing experiments and theoretically proved by Maxwell’s wave equations. The potential application of this time-varying Doppler effect formula in cosmology is discussed with the examples of cosmological redshift and Hubble’s law. The paper shows that the cosmological redshift can be interpreted as a special case of the time-varying Doppler effect. Further discussion between the observed Hubble’s redshift relationship and Hubble’s law may be needed.

The expansion of the Universe may be an illusion created by Compton scattering of free electrons

The two most precise gauges of the Universe’s expansion rate have recently been in glaring disagreement. The measurement of the Hubble parameter makes the Universe expansion theory more and more confusing, the cosmological redshift may not only be related to distance but also to other factors, and the expansion of the Universe may be just an illusion. The Compton effect of free electrons and low energy photons has been observed in the laboratory. This paper presents a theory: Free electron Compton scattering (FEC) may produce the illusion of the Universe expansion : Photons interact with a large n umber of free electrons on their way to us from a distant source. FEC causes photons to redshift (FEC redshift), and the photon beam expands along the propagation direction, these may produce the illusion of cosmic expansion (FEC cosmic model). FEC redshift is independent of wavelength, and proportional to distance and corresponding electron density, consistent with the Doppler effect of the expansion of the Universe. Flare redshift is a common phenomenon, and it is difficult to use the Doppler effect to explain alone, there is evidence of FEC redshift in flare redshift.

The expansion of the Universe may be an illusion created by Compton scattering of free electrons

The two most precise gauges of the Universe’s expansion rate have recently been in glaring disagreement. The measurement of the Hubble parameter makes the Universe expansion theory more and more confusing, the cosmological redshift may not only be related to distance but also to other factors, and the expansion of the Universe may be just an illusion. The Compton effect of free electrons and low energy photons has been observed in the laboratory. This paper presents a theory: Free electron Compton scattering (FEC) may produce the illusion of the Universe expansion: Photons interact with a large number of free electrons on their way to us from a distant source. FEC causes photons to redshift (FEC redshift), and the photon beam expands along the propagation direction, these may produce the illusion of cosmic expansion (FEC cosmic model). FEC redshift is independent of wavelength, and proportional to distance and corresponding electron density, consistent with the Doppler effect of the expansion of the Universe. Flare redshift is a common phenomenon, and it is difficult to use the Doppler effect to explain alone, there is evidence of FEC redshift in flare redshift.

Free electron Compton scattering produces the illusion of the universe expansion

Because it is consistent with many astronomical phenomena and successfully predicted the cosmic microwave background radiation (CMBR) and cosmic abundance, the theory of universe expansion has been widely recognized by the scientific community. Hubble's law is the foundation of universe expansion theory, but 100 years of observations have shown that Hubble parameters are not constants, and with the improvement of Hubble parameter measurement accuracy, the problem of inconsistent Hubble parameters obtained by different star types and different methods has become more and more difficult to solve. So the cosmological redshift may not only be related to distance but also to other factors, and the universe may not be really expanding. The Compton effect of free electrons and low energy photons has been observed in the laboratory. Photons interact with a large number of free electrons on their way to us from a distant source (free electron Compton scattering FEC). FEC causes photons (plane electromagnetic waves) to redshift, and the photon beam to expand along the propagation direction, these produce the illusion of cosmic expansion, showing the same astronomical phenomena as the expansion of the universe (FEC model).