Classical Physics

Acceleration-Acceleration, Acceleration-Velocity, and Four More Modes of Application of Newton's Third Law [:] Reactionless Motion

Authors: Bojidar Djordjev
Comments: 16 Pages.

The article analyzes alternative resources in Classical Mechanics for creating disproportion in the inertial effects of equal and opposite forces and torques. Alternative applications of forces are discussed. Symmetric asymmetries in the distribution of the quantities of motion and energies between interacting bodies are analyzed in the Acceleration-Acceleration and Acceleration-Velocity modes of application of Newton's Third Law. Competencies of the alternatives. The use of a mass resisting velocity and the related problems are justified. A realistic form of Reactionless Motion. The dark side of story.
Category: Classical Physics

Inverse N-body Problem

Authors: Mykola Kosinov
Comments: 6 Pages.

Newton's law of gravity F = GMm/r^2 shows the force of gravitational interaction of two bodies. The solution of the inverse problem of two bodies (Bertrand problem) also leads to Newton's law of gravity. However, the solution of the direct and inverse problems of two bodies does not lead to a physical law that is capable of giving the full force of gravitational interaction of N-bodies. Newton's law of gravity does not take into account that all bodies of the Universe participate in gravitational interaction simultaneously. The fundamental law of gravity for N bodies has not been discovered. The obstacle was the unsolved gravitational problem of N bodies. The inverse problem of N-bodies, as a problem of obtaining a formula for the gravitational force, has not been studied in physics. Here we present a new method for finding the law of gravitational force for N bodies. The method is based on reducing the gravitational problem of N bodies to the two-body problem, where the central body is a system of N bodies. The problem of an N-body system is the inverse problem of the N-body problem. This is the problem of finding the law of gravitational force from the known integral characteristics of the N-body system. The solution of the inverse problem of N bodies gives a new law of gravitation F = (mc^2)√Ʌ. Instead of the gravitational constant G, the new law of gravity includes the cosmological constant Ʌ. The new law of gravity F = (mc^2)√Ʌ allows us to overcome the limitations inherent in Newton's law of gravity F = GMm/r^2 and leads to a new law of universal gravitation.
Category: Classical Physics

Church's Thesis Meets the N-body Problem

Authors: Warren D. Smith
Comments: 23 Pages. Sep 1993 paper by me later published in Applied Mathematics & Computation 178,1 (July 2006) 154-183; now uploaded to vixra for archival purposes.

"Church’s thesis" is at the foundation of computer science. We point out that with any particular set of physical laws, Church’s thesis need not merely be postulated, in fact it may be decidable. Trying to do so is valuable. In Newton’s laws of physics with point masses, we outline a proof that Church’s thesis is false; phsyics is unsimulable. But with certain more realistic laws of motion, incorporating some relativistic effects, the Extended Church’s thesis is true. Along the way we prove a useful theorem: a wide class of ordinary differential equations may be integrated with "polynomial slowdown." Warning: we cannot give careful definitions and caveats in this abstract — you must read the full text — and interpreting our results is not trivial.
Category: Classical Physics

Verification Experiment of Faraday's Law of Electromagnetic Induction Based on Radio Frequency Signals

Authors: Hongyuan Ye
Comments: 5 Pages.

As a theoretically complete fundamental principle of electromagnetism for nearly two centuries, Faraday's law of electromagnetic induction states that the induction voltage in a metal coil is proportional to the number of turns in the coil and the rate of change of magnetic flux through a single turn. Recent research points out that Faraday's law of electromagnetic induction is only an engineering approximation formula，and that Lorentz's magnetic force theorem is the microphysical mechanism of electromagnetic induction. This verification experiment uses two induction coils, CA and CB, of the same structure and size. Coil CA has a single-layer dense winding of 30 turns, and coil CB has a single-layer evenly spaced winding of 15 turns. The induction voltages of coils CA and CB are detected under low and high frequency signals, respectively. The experiment proves that: under low-frequency signals, Faraday's law of electromagnetic induction is an engineering approximation formula. However, under high-frequency (RF) signals, Faraday's law of electromagnetic induction is completely incorrect. Under RF signals, the coil induction voltage depends mainly on the relationship between the wire length and the RF wavelength, as well as the strength of the electromagnetic field radiation attenuation. The coil induction voltage has no direct relationship with the number of turns of the coil.
Category: Classical Physics

Introduction to Hestenes’ Use of Geometric Algebra in Treating Constant-Acceleration Motion

Authors: James A. Smith
Comments: 8 Pages. (Note by viXra Admin: Author name is required on the article)

As an aid to teachers and students who wish to apply Geometric Algebra to high-school-level physics, we provide the first installment in a guide to Hestenes’s treatment of constant-acceleration motion. Specifically, we present a more-detailed version of Hestenes’ solution to the problem of finding the time and distance at which a projectile will cross a given line of sight. We begin by reviewing the GA ideas that we will use, and finish by verifying the solution via a GeoGebra worksheet.
Category: Classical Physics

From the Mysticism of Quantum Mechanics to Classical Physics

Authors: Vladislav Mirkin
Comments: 11 Pages. (Note by viXra Admin: Author's name and an abstract are required on the article!)

In the ether of particles that have the same sign of electric charge in the volume of the entire Universe (unipolar ether), the results of the Aharonov-Bohm experiments and experiments with quantum entanglement receive an obvious classical interpretation. In addition, the mechanism of gravity is interpreted within the framework of Bernoulli’s law for flowing liquids and gases, and Einshein’s curvature of space acquires a clear physical meaning: the crystal lattice of the arrangement of particles of the unipolar ether is bent.

В эфире частиц, имеющих одинаковый знак электрического заряда в объеме всей Вселенной (униполярный эфир), результаты опытов Ааронова-Бома и опытов с квантовой запутанностью получают очевидную классическую трактовку. Кроме того, механизм гравитации интерпретируется в рамках действия закона Бернулли для текущих жидкостей и газов, а Эйншейновское искривление пространства приобретает ясный физический смысл: искривляется кристаллическая решетка расположения частиц униполярного эфира.
Category: Classical Physics

Lorentz Effects on Observed Distance and Lookback as a Function of Cosmic Redshift

Authors: Martin Johnson
Comments: 13 Pages. (Note by viXra Admin: Maximal replacement version reached)

The Universe is generally considered to be about 14 billion years old. There was an ‘inflationary period’, in which it underwent instant expansion, then abruptly slowed down to a more gentle rate which persists to the present day. This motion picture of the observable Universe derives from a ‘Hubble parameter’ H: A star’s radial recession rate v, divided by its ‘proper distance’ d; H = v/d . Both observed v and observed dobs from starlight are supposed to increase with cosmic redshift z, and v does, but for z > 1, dobs drops off. The current correction for this is to take the expansion of space over time into account, via integration. Integration is also used to calculate ‘lookback’ (t0 - t). Herein, the author shows that both d and (t0 - t) are calculable without integration, via the Lorentz factor γ: d = dobsγ and (t0 - t) = dobsγ2/c. This method is proper: Time does not elapse at the speed of light c, so space doesn’t expand for light. The Universe’s (t0 - t) is found this way as at least 170 billion years old. We also examine the slowdown of time in an increasingly dense Universe. Time came to a halt at a certain density.
Category: Classical Physics