612 Dokumente gefunden :

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2018

Uniform Scaling of Physical Units and the Principle of Rationality of Measurement

One of the most basic principles in science is the objectivity of measurement of physical properties. According to the special theory of relativity (STR), this ancient principle is violated for observers in relative motion since it predicts that they generally will disagree on the ratios of the lengths…
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2018

Relativity Laws for the Variation of Rates of Clocks Moving in Free Space and GPS Positioning Errors Caused by Space-weather…

The proposed chapter enunciates the physical laws governing the way that the rates of atomic clocks vary in free space with their state of motion and position in a gravitational field. However, such ideal conditions are periodically disrupted by space-weather events that can lead to critical deviations…
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2018

The Theoretical Explanation for the Sound Barrier and its Relation to Light Refraction

It is pointed out that application of the Doppler effect to sound waves created by airplanes leads to the conclusion that when they are accelerated to the speed of sound (Mach 1), the wavelength decreases to zero (λ=0). The de Broglie relation between momentum and wavelength (p=h/λ) which was used to…
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2018

Electroweak Analogue of the Stern-Gerlach Effect: Parity Conservation Restored?

The history of the longitudinal polarization experiments carried out by Wu et al, in 1957 is reviewed. It is pointed out that the conclusion that these results are an indication of parity non-conservation in weak decays rests on a key assumption, namely that the electron and neutrino are created in the…
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2018

Mass-Energy Equivalence Relation (E=mc2)

Perhaps the most well known of Einstein’s innovations in the theory of relativity is the E=mc2formula. It relates the inertial mass m of any object to its total energy content E (c is the speed of light in free space: 299792458 ms-1). Let us first see how he derived this formula in his seminal 1905 paper…
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2018

Newtonian Particle Theory of Light

Light refraction is a common phenomenon that is readily observed with the naked eye. Yet a mathematical formula to describe the effect was only realized in the early 17thcentury. In terms of the modern-day quantity refractive index n, Snell’s result is: n1 sinΘ1= n2 sinΘ2, where Θ1and Θ2, are the respective…
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2018

Newton’s Theory of Light and Wave-particle Duality

The long history of the dispute among physicists as to whether matter is composed of particles or waves is reviewed. A turning point came at the dawn of the 20th century in the form of the deBroglie momentum-wavelength and Bohr/Planck energy frequency relations. It was on this basis that Schrödinger…
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2018

The GalileanVelocity Transformation and Newtonian Simultaneity

The Galilean Velocity transformation (GVT) is a very useful tool in everyday life. For example, consider a truck passing someone standing on a street corner. The truck is moving at a constant speed of v=40km/h relative to him. The driver reports that there is a car moving ahead of him in the same direction…
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2018

Inertial Clocks and Remote Non-Simultaneity

A key prediction of Einstein’s Special Theory of Relativity (STR) is Remote Non-Simultaneity (RNS). It is derived from the equation below from the Lorentz transformation (LT), which is the cornerstone of STR: Δt’ = γ(Δt –vΔx/c2) γ= (1 –v2c-2)-0.5 Einstein famously used the example of two lightning strikes…
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2018

The Relativistic Velocity Transformation and the Principle of Absolute Simultaneity

The arguments employed by Einstein that led him to the conclusion that “we cannot attach absolute meaning to the concept of simultaneity” are subjected to critical analysis in light of experiments that have subsequently been carried out with atomic clocks. The physical significance of time dilation is…
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2018

Mass Dilation and the Lewis-Tolman Conjecture

The arguments of Lewis and Tolman that predict mass dilation are critically reviewed. It is pointed out that their conclusion that two observers in relative motion would measure different relative velocities of a given object in their model collision system is incompatible with Einstein’s second postulate…
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2018

The Lorentz Transformation and the Transverse Doppler Effect

According to the dy=dy' equation of the Lorentz transformation (LT) of the special theory of relativity (STR), the value of any distance interval measured on a moving object that is oriented transverse to the velocity of that object should be independent of its relative speed to the observer. It is known…
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2018

Proof of Internal Contradictions in the Lorentz Transformation: The End of Space-time Mixing

A simple example is considered which shows that the Lorentz transformation (LT) is physically invalid because it leads to the conclusion that clock rates depend on the speeds of distant objects. This lack of internal consistency in relativity theory is traced to an undeclared assumption Einstein made…
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2018

The Newton-Voigt Relativistic Space-time Transformation

The Lorentz transformation (LT) has been shown to be self-contradictory (Clock Puzzle). The reason is because it predicts both proportional time dilation and the remote non-simultaneity of events. Consequently, the LT erroneously requires that when a null time difference is multiplied with a constant…
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2018

Hamiltonian matrix representations for the determination of approximate wave functions for molecular resonances

Wave functions obtained using a standard complex Hamiltonian matrix diagonalization procedure are square integrable and therefore constitute only approximations to the corresponding resonance solutions of the Schrödinger equation. The nature of this approximation is investigated by means of explicit…
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2018

Simultaneity, Time Dilation and the Lorentz Transformation

The underlying basis for the predictions of non-simultaneity and time dilation in relativity theory is discussed. It is pointed out that Einstein based his conclusions entirely on the Lorentz transformation (LT). He claimed that once one assumes the constancy of the speed of light for all observers (at…
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2018

The Giant Twin’s Travels

There are two versions of time dilation in Einstein’s original paper on special relativity theory (SRT). It is pointed out that they differ in a crucial respect, namely whether the phenomenon is symmetric or asymmetric. The Clock Paradox arises from belief in the latter version, which asserts that a…

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