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NNTP-Posting-Date: Thu, 26 Sep 2024 20:41:29 +0000
Subject: Re: vis-viva and vis-motrix
Newsgroups: sci.physics.relativity
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From: Ross Finlayson <ross.a.finlayson@gmail.com>
Date: Thu, 26 Sep 2024 13:41:25 -0700
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On 09/26/2024 10:39 AM, The Starmaker wrote:
> Ross Finlayson wrote:
>>
>> On 09/25/2024 01:55 PM, The Starmaker wrote:
>>> Ross Finlayson wrote:
>>>>
>>>> On 09/22/2024 11:37 AM, Ross Finlayson wrote:
>>>>> On 09/22/2024 09:59 AM, Ross Finlayson wrote:
>>>>>> On 09/17/2024 11:41 AM, Ross Finlayson wrote:
>>>>>>> On 09/17/2024 04:34 AM, J. J. Lodder wrote:
>>>>>>>> Ross Finlayson <ross.a.finlayson@gmail.com> wrote:
>>>>>>>>
>>>>>>>>> Does anybody even bother to think about vis-viva versus vis-motrix
>>>>>>>>> anymore, with regards to conservation, momentum, inertia, and energy,
>>>>>>>>> and potential and impulse energy?
>>>>>>>>
>>>>>>>> Of course not. These are obsolete distinctions,
>>>>>>>> from a time when energy and momentum conservation was not corectly
>>>>>>>> understood.
>>>>>>>> The matter was put to rest by Christiaan Huygens
>>>>>>>> by showing (for particle collisions)
>>>>>>>> that momentum conservation and energy conservation
>>>>>>>> are distinct conservation laws, that are both needed,
>>>>>>>>
>>>>>>>> Jan
>>>>>>>>
>>>>>>>>
>>>>>>>>> Is it usually considered at all that momentum and inertia change
>>>>>>>>> places with respect to resistance to change of motion and rest
>>>>>>>>> respectively sort of back and forth in the theory since antiquity?
>>>>>>>>>
>>>>>>>>> Several times?
>>>>>>>
>>>>>>> Au contraire, there is yet definition up, in the air, as it were.
>>>>>>>
>>>>>>> Find any reference to fictitious forces and for a theory
>>>>>>> where the potential fields are what's real and the classical
>>>>>>> field's just a projection to a perspective in the middle,
>>>>>>> and anything at all to do with the plainly empirical or
>>>>>>> tribological with regards to our grandly theoretical,
>>>>>>> and one may find that the definitions of "inertia" and
>>>>>>> "momentum" with regards to resistance to changes in motion
>>>>>>> and resistance to changes in rest, as with regards to
>>>>>>> weight and as with regards to heft, have rotated each
>>>>>>> few hundred years, as with regards to the great schism
>>>>>>> whence Newton's vis-motrix, as with regards to the vis-insita
>>>>>>> and Leibnitz' vis-viva, as what for example can be read into
>>>>>>> from the Wikipedia on conservation of _energy_ and conservation
>>>>>>> of _momentum_ up to today, where for example, the "infinitely-many
>>>>>>> higher orders of theoretical acceleration are both formally
>>>>>>> non-zero and vanishing" because "zero meters/second
>>>>>>> equals infinity seconds/meter".
>>>>>>>
>>>>>>> So, for a true centrifugal, and quite all about the derivative
>>>>>>> and anti-derivative as with regards to momentum, inertia,
>>>>>>> and kinetic energy, in a theory what's of course sum-of-histories
>>>>>>> sum-of-potentials with least action and gradient, or sum-of-potentials,
>>>>>>> it is so that the various under-defined concepts of the plain laws
>>>>>>> of after Newton, are as yet un-defined, and there are a variety
>>>>>>> of considerations as with regards to the multiplicities, or
>>>>>>> these singularities, and the reciprocities, of these projections.
>>>>>>>
>>>>>>>
>>>>>>> So, some of these considerations as since "Mediaeval Times",
>>>>>>> help reflect that Einstein's not alone in his, 'attack on Newton'.
>>>>>>>
>>>>>>>
>>>>>>
>>>>>> Moment and Motion:  a story of momentum
>>>>>>
>>>>>> https://www.youtube.com/watch?v=DH-Gh-bBb7M&list=PLb7rLSBiE7F4eHy5vT61UYFR7_BIhwcOY
>>>>>>
>>>>>>
>>>>>>
>>>>>> Theories and principles, momentum and sum-of-histories
>>>>>> sum-of-potentials, conservation, momentum and inertia
>>>>>> and energy, fields and forces, Einstein's mechanics,
>>>>>> conservation of energy and conservation of momentum,
>>>>>> potential and fictitious and causal and virtual, mv, mv^2,
>>>>>> ordinary and extra-ordinary in the differential and inverses,
>>>>>> the standard curriculum and the super-standard, momentum
>>>>>> in definition, classical exposition, Bayes rule and a law of large
>>>>>> numbers, law(s) of large numbers and not-Bayesian expectations,
>>>>>> numerical methods in derivations, uniqueness results later
>>>>>> distinctness results, law(s) of large numbers and continuity,
>>>>>> complete and replete, induction and limits, partials and limits,
>>>>>> the paleo-classical, platforms and planks, mass and weight
>>>>>> and heft, gravitational force and g-forces, measure and
>>>>>> matching measure, relativity and a difference between
>>>>>> rest and motion, heft, resistance to gravity, ideals and
>>>>>> billiard mechanics, wider ideals, Wallis and Huygens,
>>>>>> Nayfeh's nonlinear oscillations, addition of vectors,
>>>>>> observables and ideals, DesCartes' and Kelvin's vortices,
>>>>>> black holes and white holes, waves and optics, Euler, both
>>>>>> vis-motrix and vis-viva, d'Alembert's principle, Lagrange,
>>>>>> potential as integral over space, Maupertuis and Gauss
>>>>>> and least action and least constraint, Hamilton,
>>>>>> Hamiltonians and Bayesians, Jacobi, Navier and Stokes
>>>>>> and Cauchy and Saint Venant and Maxwell, statistical
>>>>>> mechanics and entropy and least action, ideal and real,
>>>>>> mechanical reduction and severe abstraction, ions and
>>>>>> fields and field theory, wave mechanics and virtual particles,
>>>>>> ideals and the ideal, the classical and monistic holism, paleo-nouveau.
>>>>>>
>>>>>>
>>>>>>
>>>>>>
>>>>>
>>>>>
>>>>>
>>>>> Much like the theories of "fall", "shadow", or
>>>>> "push" gravity, or the "shadow" or "umbral"
>>>>> gravity and for theories of real supergravity,
>>>>> as after Fatio and LeSage, as of theories of
>>>>> "pull" or "suck" gravity of Newton and the
>>>>> "rubber-sheet" or "down" gravity of Einstein,
>>>>> then the theories of vortices like DesCartes
>>>>> and Kelvin, and others, help reflect on the
>>>>> rectilinear and curvilinear, and flat and round,
>>>>> as with regards to deconstructive accounts of
>>>>> usual unstated assumptions and the severe
>>>>> abstraction and mechanical reduction, in as
>>>>> with regards to modern theories of mechanics.
>>>>>
>>>>> Zero meters per second is infinity seconds per meter.
>>>>>
>>>>>
>>>>
>>>> You know, zero meters per second is infinity seconds per meter,
>>>> and, any change of anything in motion has associated the
>>>> infinitely-many higher orders of acceleration, and,
>>>> it's rather underdefined and even undefined yet very
>>>> obviously clearly is an aspect of the mathematical model,
>>>> that Galileo's and Newton's laws of motion, sort of are
>>>> only a "principal branch" as it were, and, don't quite suffice.
>>>>
>>>> Of course anything that would add infinitely-many higher
>>>> orders of acceleration mathematically to the theory,
>>>> of mechanics, the theory, would have to result being
>>>> exactly being the same as Galilean and Newtonian,
>>>> "in the limit", and for example with regards to
>>>> Lorentzians and these kinds of things.
>>>>
>>>> It's sort of similar with adding more and better
>>>> infinities and infinitesimals to mathematics.
>>>> The continuous dynamics of continuous motion
>>>> though and its mechanics, is a few layers above
>>>> a plain concept of the continuum, as with regards
>>>> to something like a strong mathematical platonism's
>>>> mathematical universe, being that making advances
>>>> in physics involves making advances in mathematics.
>>>>
>>>> Which pretty much means digging up and revisiting
>>>> the "severe abstraction" the "mechanical reduction",
>>>> quite all along the way: paleo-classical, super-classical.
>>>
>>>
>>> "zero meters per second is infinity seconds per meter"????
>>>
>>> Do you guys even have any idea whats yous talkings abouts?
>>>
>>>
>>> 'infinity' has no time and cannot be measured. So, that means there are
>>> no 'seconds' in "infinity", and no meter/meters/inches in "infinity'!
>>>
>>>
>>> In "infinity" there are no meters or seconds.
>>>
>>>
>>> Where do you guys get your information from? Albert Einstein??
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