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NNTP-Posting-Date: Sun, 05 May 2024 14:49:28 +0000
Subject: Re: Scalar waves
Newsgroups: sci.physics.relativity
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From: Ross Finlayson <ross.a.finlayson@gmail.com>
Date: Sun, 5 May 2024 07:49:40 -0700
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On 05/05/2024 06:56 AM, Ross Finlayson wrote:
> On 05/04/2024 11:00 PM, Thomas Heger wrote:
>> Am Samstag000004, 04.05.2024 um 17:38 schrieb Ross Finlayson:
>>
>>> Consider the length of a body vis-a-vis the distance it
>>> travels: both in units of length, yet distance as only
>>> after a derivation of all the higher orders of acceleration
>>> and deceleration whether it results a distance at rest, or,
>>> a distance marking motion, that the other factors of the
>>> dimensional analysis, go along with it, though algebraically,
>>> at each point dimensionless.
>>>
>>
>> A physical system has attributes.
>>
>> These attributes can be measured.
>>
>> The measure of this measurement has a dimension and a value.
>>
>>
>> The pyhsical system is space in this case.
>>
>> In this space we have two points, which are somehow identifiable.
>>
>> The distance is the length of a connecting streight line.
>>
>> This length has the dimension 'length', which is quantified by
>> approriate units (meters in case of SI-units).
>>
>> So the measure of that distance has a certain value (say 2) and certain
>> units (meters) and a certain dimension (length).
>>
>>
>> TH
>
> Space has a metric and a norm, this of course makes for
> all the application of triangle or Cauchy/Schwartz inequality,
> which is used throughout the application of tensor products,
> what results that the vectors after tensors,
> are commensurable (measurable together).
>
> Saying that distance-measurable and distance-measured,
> or distance-measurable and distance-traveled,
> have different implicit units yet same explicit units,
> has that the units come and go in the derivation,
> the "dimensionless" implicits and "dimensioned" explicits.
>
> The sum-of-histories sum-of-potentials, is an idea that
> all the notions of least-action and so on just result
> that state is sum-of-histories, and the gradient is sum-of-potentials.
>
> (This is the gradient that's the geodesy the world-lines.)
>
>
> Many empirical settings start to require this extra book-keeping
> of the derivations and their implicits, while that each formula
> or step of the derivation the system of equations or system of
> inequalities is readable in its "least" dimensioned units, the
> derivation indicates also the "implicit" dimensioned units.
>
> Then as with regards to which of those are negligeable,
> is for all the higher orders of acceleration,
> of which of those that all above are zero.
>
>
> So, the singular and its branches
> and non-linear and multi-pole,
> and even the plain starting/stopping
> and stop/walk and run/pause,
> have this sort of fuller dimensional analysis,
> about dimensional/dimensionless resonator/alternator,
> that mathematically book-keeps the moments of the motion.
>
> I've been studying this in my recent podcasts,
> see "Moment and Motion" under "Philosophical Foreground",
> recently about "vis-motrix" and "vis-viva",
> and about Einstein's goal of understanding classical motion.
>
> - https://www.youtube.com/@rossfinlayson
>
> It's a field theory, it's a gauge theory, it has an "R" gauge,
> "R" for "Real".
>
>

https://www.youtube.com/watch?v=lz-c4UcaBcA&list=PLb7rLSBiE7F4eHy5vT61UYFR7_BIhwcOY&index=29

"Acceleration, mechanics, interaction, higher-order acceleration, motion
and rest, continuity, hologram universe, Mach, physical quantities,
point to total, dp/dt, dv/dt, change in time, dimensional analysis,
immovable and unstoppable, dimensioned quantities, algebra and units,
implicits and implicit zero, reaching and finding equilibrium,
dimensional dynamics analysis, the un-linear, connection of cascade and
carriage, linearity of units of momentum and units in inertia,
higher-order linearity, complex and harmonic analysis, dimensional
resonator, Lucretius and Polybius, Aristotle's science of physics, a
place to stand, Aristotle's platonism, Feynman's notes, configuration
and energy of experiment, forces and the classical limit, independence
of coordinates, stop-derivative, dimensional resonance, book-keeping,
momentum phase and phase momentum, Cerenkov and Brehmsstrahlung, Huygens
principle and boom angle, d'Espagnat on objectivity, re-flux."