Re: The failure of the unified field theory means general relativity fails.

Ross Finlayson <ross.a.finlayson@gmail.com> wrote:
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On 07/08/2024 01:57 AM, J. J. Lodder wrote:

Ross Finlayson <ross.a.finlayson@gmail.com> wrote:
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On 07/07/2024 03:39 AM, J. J. Lodder wrote:

Ross Finlayson <ross.a.finlayson@gmail.com> wrote:
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On 07/06/2024 12:56 PM, J. J. Lodder wrote:

Ross Finlayson <ross.a.finlayson@gmail.com> wrote:
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On 07/05/2024 12:00 PM, J. J. Lodder wrote:

Ross Finlayson <ross.a.finlayson@gmail.com> wrote:
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On 07/04/2024 12:29 PM, J. J. Lodder wrote:

Ross Finlayson <ross.a.finlayson@gmail.com> wrote:
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On 06/26/2024 12:24 AM, J. J. Lodder wrote:

Ross Finlayson <ross.a.finlayson@gmail.com> wrote:
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On 06/24/2024 11:49 PM, Thomas Heger wrote:

Am Dienstag000025, 25.06.2024 um 05:57 schrieb Tom Roberts:
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Nope. YOU have imposed specific units onto the
formula/equation. The equation itself does not impose any
particular units on its variables and constants [@], it
merely requires that they be self-consistent.
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          [@] There are many systems of units in common
          use. You seem to think there is only one.

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A forteriori, any result that depends on any particular
choice of units (or dimensions) is unphysical.

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Yes, of course. Good point. Similarly, any result that
depends on choice of coordinates is unphysical.
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Not quite...
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Because velocity is 'relative' (relative in respect to what you
regard as 'stationary'), kinetic energy is frame dependent.
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Since the used coordinate system defines 'stationary', you
need a coordinate system for kinetic energy and that for
practically everything else.
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TH

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When I hear "unphysical" I think it means "in the mathematical
representation and having no attachment to the physical
representation, in the system of units of the dimensional
analysis in the geometric setting".
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The dimensional analysis and attachment to geometry and
arithmetic usually is about the only "physical" there is.

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Dimensional analysis has nothing to do with physics. Dimensions
are man-made conventions. Nothing would change if the whole
concept had never been invented.
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(Geometry and arithmetic and the objects of analysis and so on.)
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Things like "negative time" and "anti-deSitter space" are
unphysical, as are the non-real parts of complex analysis,
usually, though for example if you consider the Cartanian as
essentially different from the Gaussian-Eulerian, complex
analysis, then the Majorana spinor makes an example of a
detectable observable, though, one might aver that that's its
real part, in the hypercomplex.

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Well, yes, but that is another meaning of 'unphysical,
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Jan
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Yet, "conservation", i.e. "neither the destruction or creation",
of quantities, is exactly as according to the quantity its units.

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Conservation laws do no depend on units and dimensions in any way.
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The, "dimensionless", when a usual sort of "dimensional analysis"
is the Buckingham-Pi approach, is a detachment of sorts from
the "dimensional analysis".

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Yes, standard dimensional analysis,
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Jan
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Oh, here that's called 'dimensionless analysis'.

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That's either an error or a silly neologism,
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Jan
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[Higgs irrelevancies]
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Quantities, and their derivations, have implicit units,
about them.

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'Implicit unit' is not a physical concept,
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Jan
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[unrelated stuff]

Also "Nessie's hump".
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So, implicits, definitely do have a physical concept attached,
and force, is a function of time.

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Word salad: Yes.
Clarity about 'Implied units': No,
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Jan
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   From an article the other day:

[snip yet another completely unrelated article]
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Now I excuse me while I consider a belittling
condescension then refrain.

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And still not a word about what 'implied units' might be,
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Jan
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"What can't you reaD? This has been all about it."
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Hmm..., not very helpful.
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Force: is parameterized by time,
force is a function of time.
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In Einstein's theory, "Relativity",
"Relativity" has that the Space-Time
is an differential-system of inertial-systems,
parameterized by a "the time".
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So, it's implicit, and the implicits here reflect
paramterizations of functions who symbolic representations
represent algebraic quantities, and "implicit" has
its usual meaning from differential analysis.
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Then, implicits like "the infinitely-many implicit
quantitiers in front of each variable in a logical
expression", gets into quantification, and, quantification.
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The "usual" meaning(s).

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And still not a word about 'implied units'.
Can't you just admit that there is no such thing?
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Jan
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