Illusory Cosmological Inflation

Inflation, and all its modified forms, were proposed as a panacea for answering the nagging problems of standard cosmology:

 

(i) Why is space so homogeneous and isotropic on the large scale?

(ii) What is the origin of the primeval inhomogeneities there we observe on the small scale like that of stars, galaxies, and clusters?

(iii) Why does the universe appear spatially flat and the parameters are so fined-tuned?

(iv) Where have all the unwanted relics gone, like magnetic monopoles?

 

Unruh's Temperature: A Cute Derivation of Nonsense

Many years ago Richard Feynman, building on a suggestion of Dirac's that the phase of the wave function should be given by the classical action of a particle, developed his path integral formulation of quantum mechanics, better known as a "sum over histories";. At first this was hotly contested by the same Dirac because once we know the position of a particle, the inevitable interaction between detector and particle modifies it so that it was not the same particle before detection.

Boltzmann's 'Heat Death' versus Bekenstein's Entropy Bound

Boltzmann, in his popular lectures, contemplated that the universe will end in a heat death. When bodies at different temperature are placed into thermal contact, heat is transferred from the hotter to the colder body thereby increasing the entropy. Thermal interactions will continue to occur between unevenly heated bodies, thereby producing ever increasing amounts of entropy until the universe will arrive at a state of thermal equilibrium where everything has reached the same temperature so that the 'fuel' for change has been exhausted.

Thermodynamics at the Schwarzschild Radius

There has been much ado about the Bekenstein expression for the entropy of a black hole, and the Hawking expression for its temperature. There has been less ado about the Unruh temperature that sets the temperature proportional to the acceleration of  dectectors to detect particles that would otherwise go undetected if at rest, or in uniform motion. This relation supposedly is related to Einstein's principle of equivalence, which, in is most sweeping form, says that the effects of acceleration and gravity are identical. Here I will show  that 

Einstein's Theory of Gravitation Forbids Inflation

Inflation has been described as a drug to cure the flatness, horizon, and smoothness problems of the big bang scenario with dangerous side effects [New Scientist  02/07/2012]. The horizon problem arises from the prediction that the universe is homogeneous and isotropic. When traced back to the big bang it would mean that causally disconnected regions would have to have been nearly the same so that it would explain the present day homogeneity.  This is highly unlikely.

Fact versus Folklore in the Case against Einstein

"Discoveries are never attributed to the right person."  The French claim that Einstein did nothing original, the English claim that he made mistakes, and with his gedanken experiments and the idea that  the laws of physics can be arrived at by "pure deduction"   has led to the worst speculative science in recorded history.

What happens to quantum numbers when they are allowed to become continuous and complex?

At first sight it appears strange that we can associate discrete objects (e.g., triangles, polygons, regular solids) with continuous differential equations. But, recall the quantum conditions which orginate as separation constants in linear differentials equations (e.g. the Schroedinger equation). It has long been known (Frobenius) that the hypergeometric equation is completely determined by its exponents at its singular points, of which there are three. The singular points are the corners of the triangle, and the exponents are related to the angles.

A History of Discovery: How Carnot found his cycle and its subsequent abuses

Usually it is the times that makes the discoverer and not the discoverer that makes the times. However, there are at least three exceptions to this rule that represented watersheds in the history of physics. The first was Sadi Carnot’s construction of his cycle, the second Max Planck’s discovery of quantum mechanics through his theory of black body radiation, and the third is Erwin Schroedinger’s formulation of his equation. In each of these cases there was no competitor, no urgency, and no contestation. Carnot didn’t live to get the recognition he deserved.