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Path: ...!Xl.tags.giganews.com!local-2.nntp.ord.giganews.com!news.giganews.com.POSTED!not-for-mail NNTP-Posting-Date: Sat, 14 Sep 2024 19:38:33 +0000 Subject: Re: Steel Man of Einstein & Relativity. Newsgroups: sci.physics.relativity References: <23387e561af5e3d769b94ab9ddc5f74b@www.novabbs.com> <7dfa7214e108991221d9b7115961ca87@www.novabbs.com> <00a9cb00ad7df66a0aaeefeac11278a7@www.novabbs.com> <-hc8RY2DvPYBVYYkPGqCAQ_LJH8@jntp> <vbnhuq$2h766$1@dont-email.me> <bd0ef39e13f5bbc44f19458c6e6238e1@www.novabbs.com> <8OqdnXqgqLxCMX77nZ2dnZfqnPoAAAAA@giganews.com> <d026450701e796e11040ce91412fa87c@www.novabbs.com> <vc31l3$19el9$1@dont-email.me> <5zqdnb2qHtQ2Knj7nZ2dnZfqnPqdnZ2d@giganews.com> <2uSdnUBvV6yEQHj7nZ2dnZfqnPSdnZ2d@giganews.com> From: Ross Finlayson <ross.a.finlayson@gmail.com> Date: Sat, 14 Sep 2024 12:38:22 -0700 User-Agent: Mozilla/5.0 (X11; Linux x86_64; rv:38.0) Gecko/20100101 Thunderbird/38.6.0 MIME-Version: 1.0 In-Reply-To: <2uSdnUBvV6yEQHj7nZ2dnZfqnPSdnZ2d@giganews.com> Content-Type: text/plain; charset=utf-8; format=flowed Content-Transfer-Encoding: 8bit Message-ID: <sXednayZEsOke3j7nZ2dnZfqnPidnZ2d@giganews.com> Lines: 142 X-Usenet-Provider: http://www.giganews.com X-Trace: sv3-BSOubF2SbeZflsHWGInd+pLX24K6+2K0bpiHe+HlYM82dPUqcDTsSe98P7QuYywBcU36d+dq46gUYIz!J4TcZeNGi0xmyFFGuqjfIGfHiB8kOX7s4XXKFvZ61/OppQMQ+p3R2uqny2XffDYEX06NXlkdDJKb!DQ== X-Complaints-To: abuse@giganews.com X-DMCA-Notifications: http://www.giganews.com/info/dmca.html X-Abuse-and-DMCA-Info: Please be sure to forward a copy of ALL headers X-Abuse-and-DMCA-Info: Otherwise we will be unable to process your complaint properly X-Postfilter: 1.3.40 Bytes: 8257 On 09/14/2024 11:59 AM, Ross Finlayson wrote: > On 09/14/2024 09:20 AM, Ross Finlayson wrote: >> On 09/13/2024 08:58 PM, Volney wrote: >>> On 9/13/2024 2:00 AM, rhertz wrote: >>> >>>> α = 8π² a³/[c² T²] = 2 GM/c² (curiously, it's the Schwarzschild radius >>>> for the Sun). >>> >>> Not "curiously", the GR formula for deflection depends on the >>> Schwarzschild radius. Look what happens when you calculate deflection of >>> light grazing a Schwarzschild radius object. >>>> >>>> The only possible explanation is that he commited FRAUD, in order to >>>> obtain the 43"/cy. >>>> >>>> Finally, I'm shure that his ADVISOR Schwarzschild had a cut in the 1915 >>>> paper that he presented to the Prussian Academy of Science. Even >>>> when he >>>> was serving as a Lieutenant on the Eastern Front (WWI), Schwarzschild >>>> made sure to be present on that day (Nov. 18, 1915). After all, he was >>>> not at the vanguard of the eastern front. >>>> >>>> Just ONE MONTH AFTER THIS PRESENTATION, Schwarzschild came out with his >>>> analytical solution that formally introduced what is known today as the >>>> Schwarzschild´s radius formula. >>>> >>>> TOO MANY COINCIDENCES AND TOO MUCH ROTTEN FISH AROUND GR >>>> INTRODUCTION IN >>>> SOCIETY. >>> >>> Nobody cares about your obvious paranoia created delusions. >> >> Here that's considered with respect to the "cube wall", as with >> regards to systems of coordinates, what there is of the tensorial >> preserving the affine for otherwise the "not-coordinate-free", >> and under torsions, then as with regards to the Kerr, Kruzkeles (sp.), >> and turtle coordinates, with regards to Schw. and Chandrasekhar. >> >> Einstein's work on the centrally symmetrical and his >> "second most-famous mass-energy equivalency relation >> that nobody's ever heard of", also enter the picture >> as with regards to the laws of motion and classical, >> and the sum-of-histories sum-of-potentials as what's >> considered "real", for realists, today. >> >> Then, as with regards to doubling-spaces and doubling-measures, >> and halving-spaces and halving-measures, gets involved with >> the continuum mathematically, as with regards to the >> individuation of parts, or points, a.k.a. quantization, >> with regards to models of flow and the fluid, and flux >> and the super-fluid. >> >> So, when doubling or halving really very is according to >> ponderance of derivation, capricious, to make it fit, >> then gets into these days what's called quasi-invariance >> and the quasi-invariant in the measure theory, as with >> regards to the measure problem, and why mathematics has >> required a "re-Vitali-ization", of the measurable really >> of Vitali's example, and why Vitali and Hausdorff are at >> least as good geometers as Banach and Tarski algebraists, >> that mathematics _owes_ physics more about why this is so, >> and as with regards to the usual notions of stress and >> strain tensors, about Green and Euler and Cauchy and Dirac, >> and Piola-Kirchhoff, with regards to Birkhoff and the lacunary >> and the Ramsey theory, why there are more than the standard >> laws of large numbers, for it to result that and when the >> doubling and halving are _not_ capricious, conscientiously. >> >> It's like, "Einstein, what coordinates maintain continuity >> among and between these systems of coordinates", and it's >> like, "whatever works, one of the major aspects of my later >> researches into the total field theory of the differential-system >> of the inertial-system that's real gets involved the centrally >> symmetric with regards to the un-linear", while physics yet >> doesn't even have a model of "the infinitely-many higher orders >> of acceleration, nominally non-zero yet vanishing", then it's >> like, "you know, the cosmological constant is about that". >> >> ... Which of course is available to reason. Poincare and Dirichlet >> are pretty great, and, one of Hilbert's greater ideas is that >> "you know, geometry needs a postulate of continuity or one made". >> >> > > > The Vitali's construction is about the most usual example > of a doubling-space, where a unit interval is infinitely > divided and results when re-composed as for equi-decomposability > that it results an interval of length L 1 < L < 3, or here L = 2, > as with regards to the "one-sidedness" of points _in_ a line, > and "two-sidedness" of points _on_ a line, as with regards > then thirdly to the signal-analysis of points _about_ a line. > > So, Vitali's example was in the early days of point-set topology, > with the idea that for the standard formalism of real analysis, > that "least-upper-bound" a.k.a. Dedekind completeness is > axiomatized, stipulated so that the ordered field the rationals > fulfills being the complete ordered field the field-reals or "R" > usually in the standard formalism, that Vitali's result made > a mumbling consternation in the algebraists, who resulted > introducing "non-measurability" of sets of points the point-sets, > as what results the day's "measure problem", that these days > is because the Planckian eventually results "either no straight > lines or no right angles", i.e., no metric, no norm. > > So, then another quite amazing example is the very simple > case mathematically: > > f(n) = n/d, natural n, natural d, 0 <= n <= d, d -> \infty > > where it results that this looks like an equi-partitioning > of the unit interval and as a function is constant monotone > strictly increasing. (In the limit, the infinite limit, > the continuum limit.) > > > What's great is that it's both a discrete function though > modeled in the continuum limit, and, it's integrable, and, > it has a definite integral over the entire domain, and, > it's not 1/2, instead 1. > > So, these are features of numbers that make for after > everybody's first non-standard function with real > analytical character, Dirac delta, that way before that, > is this sort of "Natural/Unit Equivalency Function", > which meets most people's exact intuition, of the > continuous infinitely-divided to the discrete, > and, vice-versa, then with a bunch of uniqueness > and distinctness results, in the seat of real analysis. > > > So, "re-Vitali-ization of measure theory", is making a > place for this as it's natural and fundamental, > and pivotal, and crucial, and all. > > https://www.youtube.com/watch?v=AnUAxDFeKaU&list=PLb7rLSBiE7F4eHy5vT61UYFR7_BIhwcOY "Moment and Motion: Zeno's dialectics"