Path: ...!fu-berlin.de!uni-berlin.de!individual.net!not-for-mail
From: Thomas Heger <ttt_heg@web.de>
Newsgroups: sci.physics.relativity
Subject: Re: Scalar waves
Date: Fri, 3 May 2024 08:46:27 +0200
Lines: 60
Message-ID: <l9jfhuF18vjU1@mid.individual.net>
References: <l96663F16l9U1@mid.individual.net>
 <Me6dnRr7rMaN6rP7nZ2dnZfqnPGdnZ2d@giganews.com>
 <l98megFchp8U1@mid.individual.net>
 <TeednX5uuvbrPbL7nZ2dnZfqnPqdnZ2d@giganews.com>
 <l9bfe7FpedoU1@mid.individual.net> <l9bgabFpedoU2@mid.individual.net>
 <eSqdnbAWGtpJT6z7nZ2dnZfqnPednZ2d@giganews.com>
 <l9e564F70apU3@mid.individual.net>
 <1qsvgli.k63lrjkvjhthN%nospam@de-ster.demon.nl>
Mime-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 7bit
X-Trace: individual.net ZUGmdQo5xtizlDOTMVpgFA8ngwvKF7kWVeoHYvfIxMbr6tY/TK
Cancel-Lock: sha1:KDMeaisLU2Bd++YTGtdNI332ihM= sha256:DVaDI38w4Nbl4pL9Ue/qrnKwpyXP6uL44cDgDHCrdEg=
User-Agent: Mozilla Thunderbird
Content-Language: de-DE
In-Reply-To: <1qsvgli.k63lrjkvjhthN%nospam@de-ster.demon.nl>
Bytes: 3213

Am Mittwoch000001, 01.05.2024 um 09:46 schrieb J. J. Lodder:

>>>
>>> The dimensional analysis of course is the attachment of a mathematical
>>> model to a physical model at all, then with regards to usual
>>> "dimensions" being quantitative and geometrical.
>>>
>>>
>>> The dimensionless really does have any number of "balanced implicits"
>>> in it. Any sort of "1 unit/unit" is a thing, and as well in the
>>> quantities, "1 goes-to-1-from-the-left/goes-to-1-from-the-right",
>>> sort of arrives at the same thing.
>>
>>
>> Well, in reality 1 means a natural dimensionless number.
> 
> Nonsense. That 'dimensionless' doesn't belong there.
> And 1 being a natural number doesn't have a meaning.
> It is, by the mathematical definition of natural number.
> 
>> Having no units says, that c is unitless and has only the numerical value 1.
> 
> Your misunderstandings in a nushell.
> All it says is that 'length' and 'time' are measured in the same unit.
> (apart from an inconvenient numerical factor)
> 
> This is precisely what all working physicists have been doing
> ever since the abolition of the meter as an independent unit
> at the 17th CIPM, 1983.
> 

The symbol '1' has a meaning: it is meant as numerical value 'one'.

Since it is a number only, it contains no units or dimensions of 
whatever kind.

This is the meaning of the term 'number'.

Physical quantities are never numbers only, because any quantity is 
composed of a numerical value and a definition, to what that number belongs.

Since c=1 means 'the speed of light in vacuum is always one', the 
dimensions 'length' and 'time' in c=~ ckm/s' must have somehow vanished 
(mysteriously).

In our usual world you cannot cancel km and seconds, hence in the realm 
of light-speed space and time must be of the same dimension (otherwise 
they could not be canceled).

The number 300.000 is no big deal, of course, and we could use 
lightseconds and seconds instead of km and seconds.

BUT: still lightsecond is a unit of length, which you must not cancel 
with seconds.

TH


>