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Re: vis-viva and vis-motrix

From Thomas Heger <ttt_heg@web.de>
Newsgroups sci.physics.relativity
Subject Re: vis-viva and vis-motrix
Date 2024-09-30 07:20 +0200
Message-ID <lluqp8F93kcU1@mid.individual.net> (permalink)
References (7 earlier) <uWOdnegwverCXWn7nZ2dnZfqn_GdnZ2d@giganews.com> <66F59C62.58E2@ix.netcom.com> <aSidnQ0zvNRkW2j7nZ2dnZfqn_udnZ2d@giganews.com> <llpuokFgheaU9@mid.individual.net> <81WdnRHj5_sE5mX7nZ2dnZfqn_ednZ2d@giganews.com>

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Am Samstag000028, 28.09.2024 um 23:57 schrieb Ross Finlayson:
> On 09/28/2024 01:57 AM, Thomas Heger wrote:
>> Am Donnerstag000026, 26.09.2024 um 22:41 schrieb Ross Finlayson:
>>> 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??
>>>>>>
>>>>>>
>>>>>>
>>>>>>
>>>>>>
>>>>>>
>>>>>>
>>>>>>
>>>>>>
>>>>>>
>>>>>>
>>>>>>
>>>>>>
>>>>>
>>>>> "Moment and Motion:  infinity and large numbers"
>>>>
>>>> Oh i see, yous people live in a Mandelbox universe...
>>>>
>>>>
>>>> i wasn't refering to yours 'numbers' universe..
>>>>
>>>> i was refering to the real universe.
>>>>
>>>> Einstein said he wasn't sure if the universe is infinite or not..
>>>>
>>>> but I'm sure the universe is infinite...just not the one you're
>>>> in...only it's surrounding universe that yous are expanding in.
>>>>
>>>>
>>>> sorry to bust your bubble.
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>
>>>
>>> Actually, there's an idea that one way to conceive
>>> the universe, is, as a mathematical continuum, that
>>> these days that's what's called "holograph", or "hologram",
>>> the idea that one mathematical continuum is big enough
>>> to have a number, for each thing, and relation in things.
>>>
>>> Then these philosophically are called "plastic numbers,
>>> metal numbers, concrete numbers".
>>>
>>> Then, for example, Euclidean space, and, maybe not
>>> Minkowski space, have it that there's only a ray
>>> of time, or 3 + 1/2, with three space dimensions,
>>> rolling and curled up, in the infinities and the
>>> infinitesimals, one continuum.
>>>
>>> It might even be reasonable to explain sort of why
>>> there are three dimensions in a mathematical universe
>>> of the space-like, simply courtesy properties of numbers,
>>> because "least action and a gradient" is about the
>>> easiest way to say "it is what it is, and it will
>>> be what it will be".
>>
>>
>> I had the idea, that this picture is actually correct and written kind
>> of 'book' about this concept.
>>
>> (you find it here:
>>
>> https://docs.google.com/presentation/ 
>> d/1Ur3_giuk2l439fxUa8QHX4wTDxBEaM6lOlgVUa0cFU4/edit?usp=sharing
>> )
>>
>> The idea is called 'structured spacetime'.
>>
>> The spacetime of GR is assumed to exist and being a real physical entity.
>>
>> It is a continuum build from 'pointlike elements'.
>>
>> These 'elements' are something you may call 'points with features'.
>>
>> The math behind it is quite unusal, but already known and not
>> particularily difficult.
>>
>> It is so called 'Pauli algebra' applied to so called 'bi-quaternions
>> (aka 'complex four-vectors').
>>
>> ...
>>
>>
>> TH
>>
> 
> 
> 
> It kind of is, kind of isn't.
> 
> A "tetrad" in physics helps fill out complementary duals,
> and, their complementary duals, so that notions of
> 
> oscillation and restitution
> dissipation and attenuation
> 
> make for
> 
> tendencies and propensities
> 
> what's the consistitutive
> and reconstitutive and deconstitutive,
> 
> why three legs is enough to hold up the table,
> then for something on it.
> 
> So, tetrads like
> 
> proton electron neutron photon,
> 
> mass charge light-speed neutron-lifetime
> 
> strong+gravity electromagnetic electro-weak optical-weak
> 
> help establish usual sorts of setups like field theory,
> models of forces, and pretty much for theories where
> the potential fields are the real field, for example
> 
> 3 + 1 dimensions, or 3 + 1/2 "space and a ray of time",
> 
> then there's a tetrad
> 
> point projection perspective space
> 
> as with regards to
> 
> point local global total.


We need 'three axes of space and one scalar for time' at a single point 
only.

Moving to another point would require the same stuff, but not the same axes!

Iow: the (imaginary) axis of time does not need to be parallel 
throughout the entire universe!

Actually time MUST be local and measures some sort of rythm of causality.

Other places can have actually other timelines and actually a local 
time, which runs backwards from our perspective.


This is important, because that would allow to understand certain 
behaviours of nature.

This would result in a double tetrahedron, where forward flowing time 
with three real axes and a backwards flow time with the axes of kind of 
world behind the mirror would overlap to a double tetrahedron.

Since we belong to these results, too, we can only live in our own world 
and cannot look behind that mirror.

 From this we have drawn the conclusion, that our own world is all that 
would exist.

But that is just an optical illusion and as wrong as 'flat Earth'.

But we know already, that things can leave our own 'world' and disappear 
into black holes or pop out of nothing in 'white holes'.

> 
> 
> Then, this being usually a field theory, there's
> that the theory is always "three space dimensions",
> and, that being some "real Euclidean space".
> 
> People make a lot of the complex, and also the
> hyper-complex like geometric algebras, then
> there are also approaches like Kodaira and Zariski,
> that include without, that the same sorts of setups
> of rotations and reflections and analyticity with
> respect to a "diagram", have that there are all sorts
> of diagrams, considered mathematical models.
> 


Well, my own guess was a clifford algebra with the name CL_3, also known 
as 'Pauli algebra'.


This uses 'bi-quaternions' and that shall be symbolised by a double 
tetrahedron (because of the eight components of this construct).



> Then the idea that there is a numerical resource,
> a continuum, that just sort of naturally results
> three dimensions and a ray of time, and also then
> as with regards to tetrads and information in
> the space-time, the "Space-Time", with its contents,
> is a thing actually looking to equip a mathematical
> model as being a resource and book-kept in this way,
> about deriving most of the theory from least,
> and that that's a very principled approach.
> 

'Ray of time' is a dangerous concept.

Time is depicted as a ray, but usually time is an imaginary pseudoscalar.

TH

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Thread

vis-viva and vis-motrix Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-16 19:58 -0700
  Re: vis-viva and vis-motrix nospam@de-ster.demon.nl (J. J. Lodder) - 2024-09-17 13:34 +0200
    Re: vis-viva and vis-motrix Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-17 11:41 -0700
      Re: vis-viva and vis-motrix Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-22 09:59 -0700
        Re: vis-viva and vis-motrix Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-22 11:37 -0700
          Re: vis-viva and vis-motrix Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-25 13:04 -0700
            Re: vis-viva and vis-motrix The Starmaker <starmaker@ix.netcom.com> - 2024-09-25 13:55 -0700
              Re: vis-viva and vis-motrix Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-25 19:01 -0700
                Re: vis-viva and vis-motrix The Starmaker <starmaker@ix.netcom.com> - 2024-09-26 10:39 -0700
                Re: vis-viva and vis-motrix Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-26 13:41 -0700
                Re: vis-viva and vis-motrix Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-26 13:42 -0700
                Re: vis-viva and vis-motrix Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-27 17:52 -0700
                Re: vis-viva and vis-motrix Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-27 19:01 -0700
                Re: vis-viva and vis-motrix Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-27 19:38 -0700
                Re: vis-viva and vis-motrix Thomas Heger <ttt_heg@web.de> - 2024-09-28 10:57 +0200
                Re: vis-viva and vis-motrix Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-28 14:57 -0700
                Re: vis-viva and vis-motrix Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-29 18:13 -0700
                Re: vis-viva and vis-motrix Thomas Heger <ttt_heg@web.de> - 2024-09-30 07:20 +0200
                Re: vis-viva and vis-motrix Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-30 11:55 -0700
                Re: vis-viva and vis-motrix Thomas Heger <ttt_heg@web.de> - 2024-10-01 08:48 +0200
                Re: vis-viva and vis-motrix Richard Hachel <r.hachel@liscati.fr.invalid> - 2024-10-01 13:27 +0000
                Re: vis-viva and vis-motrix Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-01 09:53 -0700
                Re: vis-viva and vis-motrix Thomas Heger <ttt_heg@web.de> - 2024-10-02 20:58 +0200
                Re: vis-viva and vis-motrix Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-02 19:22 -0700
                Re: vis-viva and vis-motrix Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-01 17:49 -0700
                Re: vis-viva and vis-motrix Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-03 13:51 -0700
                Re: vis-viva and vis-motrix Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-03 19:46 -0700
                Re: vis-viva and vis-motrix Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-05 18:07 -0700
                Re: vis-viva and vis-motrix Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-06 20:00 -0700
          Re: vis-viva and vis-motrix nospam@de-ster.demon.nl (J. J. Lodder) - 2024-09-25 23:23 +0200
            Re: vis-viva and vis-motrix Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-25 18:54 -0700
              Re: vis-viva and vis-motrix nospam@de-ster.demon.nl (J. J. Lodder) - 2024-09-26 11:56 +0200
  Re: vis-viva and vis-motrix bertietaylor@myyahoo.com (bertietaylor) - 2024-09-26 11:23 +0000
    Re: vis-viva and vis-motrix Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-26 13:34 -0700
      Re: vis-viva and vis-motrix bertietaylor@myyahoo.com (bertietaylor) - 2024-09-26 21:19 +0000
      Re: vis-viva and vis-motrix bertietaylor@myyahoo.com (bertietaylor) - 2024-09-26 21:57 +0000
        Re: vis-viva and vis-motrix Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-26 17:32 -0700

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