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Progress in Physics : The Journal on Advanced Studies in Theoretical and Experimental Physics, Including Related Themes from Mathematics, Volume 2

By: Florentin Smarandache

...)dt 2 −B(r)dr 2 −C(r) dθ 2 +sin 2 θdϕ 2 , (2a) A,B,C>0, whereA,B,C are analytic functions. I emphatically remark that the geometric relations betw... ...J. Droste [9] and A. Eddington [10], that r 2 can be replaced by a general analytic function of r without destroying the spherical symmetry of (18). L... ... Schwarzschild’sR 2 and Hilbert’s r 2 can be replaced with any appropriate analytic functionC n (r) as given by (24), so the range and the bound- ary ... ...ntional conditions (see [19]) that must be met are inadequate, viz., 1. be analytic; 2. be Lorentz signature; 3. be a solution to Einstein’s free-spac... ...cle. Phys. Rev., 1958, v. 110, 965. 20. Levi-Civita T. Mechanics. — On the analytical expression that must be given to the gravitational tensor in Ein... ... experimental investigation of the properties of time. Time in Science and Philosophy, Academia, Prague, 1971, 111–132. 8. Kozyrev N. A. Physical pecu... ...18. Noyes P. Bit-strings physics: a discrete and fnite approach to natural philosophy. Series in Knots in Physics, v. 27, Singapore, World Scientifc, ... ...ubject of mechanics, several references are made herein to the history and philosophy of science. This is necessary because this paper deals primarily... ...ophiae Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy), frst published in 1686 [6]. The Principia was revised by Newto...

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Progress in Physics : The Journal on Advanced Studies in Theoretical and Experimental Physics, Including Related Themes from Mathematics

By: Florentin Smarandache

...nmatter was not checked in the lab. According to the neutrosophy theory in philosophy [2], between an entity <A> and its opposite <AntiA> there exist ... ...energy-momentum tensor, so that this is a looped system which has no exact analytical solution. In the case of a quantum mechanical particle considere... ... 42. Noyes P. Bit-String Physics: A discrete and fnite approach to Natural Philosophy. Ed. by J. C. van der Berg, Series of Knots in Physics, v. 27, W... ... 2 )− − N(r)(xdx+ydy+zdz) 2 , r = p x 2 +y 2 +z 2 , (1) where,∀t,L,M,N are analytic functions such that, L,M,N >0. (2) In polar coordinates (1) become... ...(1) becomes, ds 2 =A(r)dt 2 −B(r)dr 2 −C(r)(dθ 2 +sin 2 θdϕ 2 ), (3) where analyticA,B,C >0 owing to (2). 68 S J. Crothers. On the General Solution to... ...istic units, ds 2 =A(r)dt 2 −B(r)dr 2 −C(r)(dθ 2 +sin 2 θdϕ 2 ), (1) where analytic A,B,C>0. The general solution to (1) for the simple point-mass is,... ...= L m , ρ 2 =r 2 +a 2 cos 2 θ, Δ=r 2 −rα+a 2 +q 2 , 0<r<∞. By applying the analytic technique of section 3, the general solution for the rotating poin...

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