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Ошибся ли Эйнштейн? или Новое открытие в теоретической физике…

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Префаэйс см. предыдущий пост, на данный момент никаких изменений; в т. ч. про то что

– если здесь не будет Dzzeenn постов более 2 недель – это значит что проблема неправильных, и потому неправильно живых, авторов решена.

Сейчас нет времени писать больше, коротко: manuscript “Planck scale informational physical model and fundamental problems” , the accession code AQ12927 отклонен editors как not suitable, но факт submission в Phys. Rev. журнал, куда совсем правильные авторы уже подготовили статьи с открытием Planck scale physics, им совсем не понравился, и я получил увеличенные дозы биохимии и СВЧ, сейчас есть негативные последствия.

Так что еще раз – см. префэйс.
Четверг, 02.04.26
 
Префаэйс см. предыдущие посты к ветке про большой взрыв, на данный момент никаких изменений; в т. ч. про то что

– если здесь не будет Dzzeenn постов более 2 недель – это значит что проблема неправильных, и потому неправильно живых, авторов решена.
___________________ ___

Было действие какого-ио нервопаралитика – частичная потеря координации и управления конечностями, похоже на инсульт, но инсульт работает быстро, в данном случае все развивалось около 20 часов. Сейчас управление лучше, похоже была малая доза с целью заставит прекратить писать в Сети про что такое официальная физика и философия которые становятся реальными науками в Planck scale informational physical model и в “The Information as Absolute” conception.

В чем для меня смысла нет - совсем правильные авторы модели и концепция не могут опубликовать их фундаментальные открытия пока реальные авторы живы, и они, концепция и модель уже заметно известны в науке. Потому – убьют [Токаревский жив, но после серии инсультов скоро 10 лет недееспособен ] в любом случае; есди не писать, то немного позже, и про то никто не будет знать.

Попытался сделать переводы по крайней мере последних версий “The Information as Absolute” и “Planck scale informational physical model and fundamental problems”. В
⚠ Тільки зареєстровані користувачі бачать весь контент та не бачать рекламу.
там по слухам это [отправить файл на одном языке и получить на другом] в принципе можно бесплатно; но мой вход блокируется. У других пользователей это наверно возможно, и переводы на всем понятный Russian можно выложить где-нибудь в Сети, в т.ч. здесь. Файлы желательно скопировать нв флэшку [еще лучше бумажные копии], после моей ликвидации они в Сети могут быть “отредактированы”, сейчас это делается просто.

Так что еще раз – см. префэйс. И пока до четверга, если получится.
Воскресенье, 05.04.26
 

Вкладення

Мой ПК контролируется, и оказалось, что я в направленном Fundam problem PDF в разделе 6.5.2, стр.55, между

“…universal for at least 3 Forces elementary 3D “kinematical” momentum so, that, if the “irradiated” particle….” , и

“…Correspondingly the Forces particles charges are rather similar:
- Gravity charge , is Planck mass, m is the particle mass,….’

- напечатано нечто странное.

Реально должно быть [доработанный вариант]
===================== ==================

....is at rest in the 3D X,Y,Z space, this momentum is ± directed to the radiating mefiators particle. If the “irradiated” particle is free, it starts to move/accelerates in ± direction to the radiating particle, having increasing in time 3DXYZ momentum, p. Note again that the mediators/rims carry specific momentums and don’t carry energy. So, including, the Forces fields don’t contain energy, postulates in conventional physics Forces classical theories [and really in QFTs] that the fields contain energy – what really violates the energy conservation law - are wrong.

Am example: a system of two particles that are at rest in the 3D apace, have rest masses M and m so have “intrinsic own” energies Mc2 and mc2, total system’s energy Es=Mc2+mc2 , interact by an attractive Force, are on ~infinite distance; and after a small impact on m move toward each other. Their kinetic energies EkM and Ekm increase, current rest masses, Mc, and mc, decrease, however the sum of their energies Es remains be the same.

If the Force is repulsive, particles don’t compose closed systems, so can move decreasing distance between only having correspondingly directed not-zero kinematical momentums and speeds. In this case analog to the above one example is as: a particle that has rest mass m, inertial mass mi, kinetic energy, Ek, moves on ~ infinite distance toward M at speed V, at that mc2+Ekm=mic2, mi is the particle’s inertial [“relativistic”] mass. The system energy Es=Mc2+mc2+Ekm. At the motion the particle’s speed and its current Ekc are decelerating, however its current rest mass mc increases. When the particle stops in the 3D space, its Ekc=0, but, if M>>m, its rest mass is practically equal to its inertial mass mi on infinity. When repulsed particle is returning back, its rest mas mc decreases, Ekc increases, and on large distance from M its speed is practically [a bit lesser than] equal to V. At any time moment total system’s energy Es=Mcc2+mcc2+EkM+Ekm= Mc2+mc2+Ek.

Just by this way in closed systems the whole system’s energy is always constant, the Forces only govern the exchange by momentums between systems’ elements, what results in pumping-repumping energy between the elements’ kinetic and intrinsic energies. At that really exchanging by mediators caused momentums, p, happens. At small speeds Es=pM2/2M+pm2/2m, i.e. the pumping-repumping energy happens “automatically” and is in certain sense secondary.

==================== =============

Понедельник 06.04.26
PS к сожалению верхние и нижние индексы не ппереносятся с DOC
 

Вкладення

  • Fund.pdf
    Fund.pdf
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Префаэйс см. предыдущие посты , на данный момент никаких изменений; в т. ч. про то что

если здесь не будет Dzzeenn постов более 2 недель – это значит что проблема неправильных, и потому неправильно живых, авторов решена.
Все это совсем лучший и наиболее объективный комплимент научной работе, но уж слишком специфический


Было действие какого-ио нервопаралитика, см. первые посты, сейчас состояние удовлетворительное.

И - однако в ветке открылась новая страница и дадо повторить коллекцию PDF статей с концепцией и моделью, которые для реальных физиков, в первую очередь F1, F4, F5, RMRK_sel [и философов, файлы F1, F3, F10)] и студентов следует скачать и изучать. В F0 [Content] указаны некоторые другие названия PDF, но нумерация F1-10 адекватна.

Cheers
Dzzeenn
больше см. ORCID:
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[ или добавить h в ttps://orcid.org/0000-0003-3370-5536]
Вторник, 07.04.26
 

Вкладення

Останнє редагування:
Префаэйс см. в конце RMRK_sel PDF файла, на данный момент никаких изменений; в т. ч. про то что

если здесь не будет Dzzeenn постов более 2 недель – это значит что проблема неправильных, и потому неправильно живых, авторов решена, нет.

Пока удалось восстановиться до ~ 80%, но пресс всяких воздействий на организм и угроз продолжается. Так что сейчас не до науки, надо успеть поработать по некоторым организационным позициям. Потому – для новых [и возможно не новых еще раз] читателей см. полезные комменты к различием пунктам концепции и модели в ResearchGate постах на предыдущей странице ветки, последний про космологию.

Но сейчас пока больше в ветке про Большой Взрыв.

Cheers
Dzzeenn
больше см. ORCID:
⚠ Тільки зареєстровані користувачі бачать весь контент та не бачать рекламу.
[ или добавить h в ttps://orcid.org/0000-0003-3370-5536]
Четверг, 09.04.26 17-40
 
Останнє редагування:
Однако префэйс см. в посте Пятница, 05.12.25, или аттачед PDF RMRK_sel файл, в справке внизу после коммента к Вячкслав Р посту. Для новых читателей совсем подезно читать весь текст в этом файле – и все предыдущие Dzennn посты, включая пару на предыдущей стр. ветки. Кроме того в Пятница, 05 посте аттачены PDF файлы 3 основрых статей - один “The Information as Absolute” концепции [PDF F3_inf-abs ], и два файла PSIP модели. [ PDF F4_BasicPhys ] и [PDF F5_Fund_problem__25].

Сегодня очередной RG пост (3 поста, Силы-поля-энергия. Даная тема в официальной физике совсем упорно считается совсем решенной, в т.ч в ОТО, потому посьов про нене много, и эта серия не единственная здесь. Потому если у меня будет время мои посты будут маще сем паз в неделю) кто имеет проблемы с English - Google перекладач в помощь
=========================== =======
Пост 1
______________
Поскольку здесь индексы в формулах с DOC не передаются см. аттачед PDF
============ ======
Пост 2
_____________________ __
“…the energy density of the gravitational field for Newtonian physics, obtained from GR, is what Landau and Lifshitz did …. Their volume integration is over the gravitational energy density as shown..”

- again in this thread – see the SS posts above, first of all the post on page 197, 6 days ago now fields of fundamental Nature forces, including Gravity Force, fundamentally cannot have energy and so any energy density. That evidently violates energy conservation law. Say, if there is a system of two free bodies that have rest masses M and m on ~ infinite distance, the system’s energy E=Mc2+mc2.

If the bodies by acting Gravity Firce move to each other, the energy by the law above remains be constant – while, say, in the GR if M is a black hole, when m crosses the M’s event horizon surface, its energy is infinite; etc.

What and how really happens – see the pointed above SS post [including, of course it is useful to read the linked SS&VT Planck scale informational physical model paper
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[F5 PDF] section 6 “Mediation of the fundamental forces in complex systems”

. If briefly – at the motion M’s and m’s intrinsic energies transform into their kinetic energies, correspondingly their current rest masses Mc and mc decrease, if M>>m – mostly mc. So, say, if after m hits M, the kinetic energy is dissipated from the system, say, the system is cooled, the system’s one body mas (Mc+mc) is lesser than M+m on gravitational mass defect.

Recent SS posts in
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, page 5 [and other SS posts, though] are relevany to thisx thread question.

Cheers
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================== ==
Пост 3
_____________ _______________

L.D. Edmonds,

In this

“…Sergey Shevchenko : Your posts have lost all credibility to me..”

- there is nothing surprising since from what you write it looks as that you have rather poor physical education [but SS posts are, of course, not only for you]; and so this

“… when making ridiculous claims (in the companion thread that you cite) that E&M fields can't contain energy because charges constantly radiate so the charges would require an infinite energy if the fields contained energy. The reality is that charges don't radiate unless accelerated and that requires another energy source.….”

- is really incorrect. Really, as that pointed in the SS post in

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, page 5, 3days ago now, [in mainstream physics]

“…at least from 1898 it is postulated that at least EM Force field contain energy [that is much earlier1898] and at that electric charges constantly and always radiate the EM fields.[wjth energy density, u,, u=(e0E2+H2/μ0/2/2; e0 is the permittivity of free space μ0 is the permeability of free space, E and H are strengths of electric and magnetis fields] - see in textbooks about Liénard–Wiechert retarded potential…”

In the potentials it is postulated that the field at a point in space [where, say, an “irradiated” other charge is ] of a moving charge is determined not by the current position of the charge, but by its position and speed at the moment of time when the radiation could reach the other charge.. I.e., charges constantly and always radiate fields with the energy density above, and so, say, at every time moment a moving charge current field is practically zero, while really existent field around is composed by the fields which it radiated earlier.

Etc., including, say, that in mainstream above has no relation to, say, that

“…the sun warms the earth and warmed objects on the earth…”, , etc.

However the postulated in the potentials retardation really, of course, exists, but, again, - charges radiate felds that fundamentally cannot, and so don’t contain energy, how that happens in Matter see SS posts on pages 197, 198 this one; and in
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on pages 3-5. [Further in the thread a special spammer appeared, and it is now flooded by intensive trash-chatting; why this happens? – see the SS post January 30 page 348 in
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]

And, of course, see the SS&VT PSIP model linked in the posts.
Cheers
⚠ Тільки зареєстровані користувачі бачать весь контент та не бачать рекламу.

_______________________ ________
Cheers
Пятница. 24.04. 2026, 17-10
 

Вкладення

Однако префэйс см. в посте Пятница, 05.12.25, или аттачед PDF RMRK_sel файл, в справке внизу после коммента к Вячкслав Р посту. Для новых читателей совсем подезно читать весь текст в этом файле – и все предыдущие Dzennn посты, включая пару на предыдущей стр. ветки. Кроме того в Пятница, 05 посте аттачены PDF файлы 3 основрых статей - один “The Information as Absolute” концепции [PDF F3_inf-abs ], и два файла PSIP модели. [ PDF F4_BasicPhys ] и [PDF F5_Fund_problem_].

Сегодня очередной RG пост (3 поста, Силы-поля-энергия. Даная тема в официальной физике совсем упорно считается совсем решенной, в т.ч в ОТО, потому постов про нее много, и эта серия не единственная здесь. Потому если у меня будет время мои посты будут чаще чем раз в неделю) кто имеет проблемы с English - Google перекладач в помощь
=========================== =======
Пост 1
_________________ ______________

L.D. Edmonds,

- you again write somethings that contradict even with mainstream textbook physics, and so that looks rather strangely, as, say, that

“….You claim that the Lienard-Wiechert potential produces constant and continuous radiation. It does not…”

- I never wrote such claims. Any Force’s, including Electric one, potentials fundamentally by no means produce any radiation, that charges of Forces, which are written on particles [in SS&VT PSIP model fundamentally correctly – in particles’ algorithms that run basing on FLE hardware, more see the model].

And this

“…There is always a field seen at one location created by a charged particle at an earlier time but it does not radiate energy unless there is acceleration of the charge…”

- contradicts even with the mainstream. Field, after it is radiated at one location by a charge, further by no means radiate anything, again that only charges do.;

‘…For uniform motion the field energy density simply moves from one location to another with a constant field pattern that moves along with the particle. The field energy is constant in time, the particle does not emit more energy as time goes on…’

- again, after a field is radiated, its “energy density” [fundamentally non-zero, as the postulate in the mainstream, while really fundamentally is zero] is decreasing; since, after be radiated, the fields fundamentally independently on anything [if are in free space, of course] propagate in the space isotropically, and so it [density] constantly decreases.

Including so, say, there fundamentally cannot be any “constant field pattern that moves along with the particle”.

Again, see the last SS post on previous page, at any time moment the “own” charge’s current field is practically zero, while really existent field around is composed by the fields that were radiated earlier.

Ar thar the contribution of earlier fields that propagated along a charge’s motion direction is quite naturally lesser than contribution of other fields. So, say, the form of [the strength distribution in space] always existent current field around inertially moving charge is some ellipsoid, where the the strength along the motion direction is lesser than the orthogonal one in (Lorentz factor)3/2; at large speeds that is a pancake [in the thread some posters cite Landau-Lifshitz “Theory of Field”, in this case more see chapter V, para 38 there].

And to:

“..I will stop arguing now…:

- this would be razer useful. You indeed write in RG threads mostly scientifically ungrounded posts sometimes unnecessarily actively, what as a rule impedes scientific discussions . As a rule to write a really scientifically grounded post it is necessary to spend some time, and for readers to understand the post is necessary to spend some time, so posters who write such posts. write as a rule no more one post/day. You write more one posts in minutes., and shifting often the other posts from visible page too quickly.
Cheers
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=========================== =======
Пост 2
________________ ______________
L.D. Edmonds,

This

“…Sergey Shevchenko : …I would have been finished arguing …”

- indeed would be quite rational. Nonetheless you continue the arguing, and make that rather strangely. In last post you write

SS quote] “‘….You claim that the Lienard-Wiechert potential produces constant and continuous radiation. It does not’- I never wrote such claims[and quote]…”[end quote]

- yeah, that is so. You in your this page post 2 days ago now indeed wrote that “You [i.e. me] claim that the Lienard-Wiechert potential produces constant and continuous radiation”, and I indeed wrote to this that “It does not- I never wrote such claims”; and further explained why I never wrote such claims:

Any Force’s, including Electric one, potentials fundamentally by no means produce any radiation, that charges of Forces do,

At that the charges constantly and always, in motion and at rest, radiate Forces fields – in mainstream physics the fields contain energy, what id fundamentally wrong [again - the Forces fileds energy is zero] , and, if are accelerated, radiate some particles, electric charges – photons [EM waves in classic ED], which indeed carry energy that is transformation of the work of some outer forces that accelerate charges

All this is quite clear, and so this

“…I will not tolerate dishonesty. My words “constant and continuous radiation” were taken from an exact quote from your last post on page 200 which was:

that [SS quote] “ I.e., charges constantly and always radiate fields with the energy density above,” [end quote]

To deny that you said it is dishonest…”

- looks as is rather strange something. Besides honestly it is necessary to read attentively SS posts and understand what is written. All posts are written quite honestly and rigorously scientifically substantiated.

Cheers
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=========================== =======
Пост 3
_________________ ______________
L.D. Edmonds,
- you again wrote posts about things that already are quite clearly rigorously scientifically clarified in the earlier SS posts [and links in the posts, first of all to papers where the SS&VT Planck scale informational physical mode is presented, first of all paper
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, section 6 “Mediation of the fundamental forces in complex systems”.

Besides your posts are rather, if too, aggressive

“....your post looks to me like incoherent babble. But this is not an argument, it is a question. I will give you the benefit of the doubt regarding your understanding of mainstream physics ....”

- seems you attempt to show that you are a big physicist who write some absolute truth to some ignorant fellow. Believe me, you are mistaken in both these points.

Including relating to

“...regarding your understanding of mainstream physics by assuming that you are aware that mainstream physics (specifically, Maxwell's equations) predicts that charges in uniform motion do not radiate energy.....”

-this point a number of times is explained in SS posts in this thread above and in the threads-sisters:

- really in mainstream physics it is postulated that charges in uniform motion radiate energy – see what are the Lienard-Wiechert retarded potentials, or/and, say, Fig. 26.2 in Feynman lectures, book 6, “Electrodynamics” [and whole para, of course]:

- in mainstream physics electric charges constantly and always radiate EM fields – what is completely fundamentally correct,

- however at that the fields contain energy, this yours

“.... Feynman pointed out that more modern understandings find that fields can be real things with energy and even mass....”

- is quite correct.

However this above in the mainstream, i.e. that charges constantly and always radiate fields that contain energy [and mass] is fundamentally wrong really - for this be true it is evidently necessary for charges to have some mystic sources of infinite energy.

What happens really is completely rigorously explained in the SS&VT model above – the charges [besides of Eдectric also of Gravity and Nuclear/Strong Forces] indeed constantly and always radiate fields , but the fiekds don’t contain energy. Why and how this happens in Matter see the references/links above.

Cheers
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=========================== =======
Cheers
Среда . 29.04. 2026, 17-10
 
Однако префэйс см. в посте Пятница, 05.12.25, или аттачед PDF RMRK_sel файл, в справке внизу после коммента к Вячкслав Р посту. Для новых читателеей совсем подезно читать весь текст в этом файле – и все предыдущие Dzennn посты, включая пару на предыдущей стр. ветки. Кроме того в Пятница, 05 посте аттачены PDF файлы 3 основрых статей - один “The Information as Absolute” концепции [PDF F3_inf-abs ], и два файла PSIP модели. [ PDF F4_BasicPhys ] и [PDF F5_Fund_problem__25].

Сегодня очередной RG пост (2 поста, Силы-поля-энергия) кто имеет проблемв с English - Google перекладач в помощь
=========================== =======

Пост 1 [в текущей дискуссии появился постер который не понял о чем она, и написал несколько постов про излучение ускоряющийся зарядов. В отличие от остальных он понял суть]
___________________
Riadh Al Rabeh , My dear Sir,

- in my [SS] post on previous page the link points to a series of SS posts in the thread “Does a gravitational field have energy density like an electric field?”,
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, page 204, which clarify also this tread question “Is the electron mass strictly of electromagnetic (electrodynamic) origin?

You seems didn’t understand this; and so wrote really unnecessary post here, which shifted the relevant SS post from visible page, and further in the pointed above other thread wrote a few posts in a chat with other poster that [electric] charges radiate energy if are accelerated. What is a banal fact that in the linked thread was numerously mentioned earlier - despite that has no relations to this - and here - threads questions. At that the really unnecessary chat in the thread also shifted really scientific SS posts from the visible page.

Really the both threads questions relate to fundamental mainstream physical problem/flaw:

- in the mainstream []from Maxwell times] it is postulated that fields of Electric/EM – and really Gravity – fundamental Nature forces contain energ
y [and so energy density]– just so this thread is about some “electron mass of electromagnetic (electrodynamic) origin”, the other thread is about gravitational field energy density like an electric field;

- and at that in the mainstream, [from 1898/ 1901 Liénard–Wiechert potentials] it is postulated that the charges constantly and always radiate the fields [in QED – “virtual photons”].

The fundamental problem is: for these postulates to be both true rather evidently is necessary for charges to have some sources of infinite energy, what looks as is an evident mystic for electrons to radiate constantly and always fields that contain energy is evidently [not in mainstream, though] necessary to contain some evidently mystic infinite energy. .

Again, that has no any relation to EM waves/real photons radiating by accelerated charges – they radiate part of energy that obtain at acceleration from some outer source.

This problem is solved in the Shevchenko-Tokarevsky’s Planck scale informational physical model, see
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, section 6. “Mediation of the fundamental forces in complex systems”:

- charges of at least Electric, Gravity, and Nuclear/Strong Forces in particles - of course constantly and always - radiate the Forces mediators, intensive flows of which are observable on macroscale as the Forces fields, however the mediators fundamentally don’t contain/carry energy. What is clearly commented in SS posts in the linked thread.

At that yeah, in a post a PDF file is in Russian - that is my comment to some poster in an Ukrainian forum, who posted an AI’s “analysis” of the PSIP model. Really AIs have too vague imaginations about physics, first of all about fundamental physics problems – as that the mainstream physics has about own, and so about real, fundamental problems - and so write about the considered/solved/clarified in PSIP moded problems really some senseless trash, which they read mostly in pop-scientific publications.

Though for me it would have a sense to discuss some problems directly with an AI, but any discussion through the posters that rewrite AIs’ texts, truly believing that they write some truth, is a senseless job. At that what any AIs write about the PSIP model is mostly the same, so in such cases in the RG threads I attach the PDF, which is well adequate. PDF is in Russian, but now web translators work rather well.

Cheers
⚠ Тільки зареєстровані користувачі бачать весь контент та не бачать рекламу.

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Пост 2
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“…assume that your theory acknowledges that this thing that has been called "field energy" (even if it is only a name and not literal) correctly accounts for energy transfers; at least some times, I'm not sure of what energy conservation violations you refer to....”

- again – see SS posts above – in classical [and quantum in this case] ED it is postulated that the "field energy" in your passage is quite “literal”, i.e. is fundamentally objectively existent as it is stored in the fundamentally objectively existent electromagnetic field,

- which at that both - the field and energy - constantly and always are radiated by electric charges. Most of objectively existent particles exist billions of years being completely stable, so the radiation of energy above can be in accordance with energy conservation law only provided that charges contain some mystic infinite energies.

However yeah, the postulate above allows to describe and analyze what exists and happen in EM-coupled systems of charged material objects in classical ED – and in QED, however yet on QM scale for this in QED it is necessary to postulate existence, and action as the EM-Force mediators, of some really mystic “virtual [i.e. unreal] photons”, which also constantly and always are radiated by particles charges, and – moreover - besides that carry energy, the mediators act with no regard to the conservation laws, while at description/analysis again a mystic “renormalization” technique is used.

It is evident that particles, all fundamental Nature forces, and their charges, quite really objectively exist, and the Forces act at interactions of particles exchanging by real mediators, etc.; how this happens on Planck scale– see initial SS&VT PSIP model linked in my posts above. , where all – the particles, etc., are quite real.

Nonetheless yeah, both – classical and quantum - ED are applied in many cases well successfully, the problems appear when physics addresses to some really fundamental things. Including the problem – so why and how these really transcendent theories are, nonetheless adequate ro the reality? - and consideration of this problem well probably will be useful at development of really scientific physics, which on really fundamental level can be only Planck scale physics.

Including relating to

“... For example, if we use the usual method to calculate this thing that has been called "energy stored in the electric field" of a charged capacitor, we do correctly calculate the amount of energy that the charged capacitor is capable of providing. You do agree with that computational success, even if the field energy is not literal, don't you? ….”

- I quite agree, if a charged capacitor is discharged, say, through a resistor, then thermal energy of the resistor is equal to [classical ED] “energy stored in the electric field" of it.

However really the energy, E, in/of the capacitor electric field is equal to zero, realy at charging of capacitor the energy was transmitted to the capacitor’s electrons at moving electrons by some outer forces on the capacitor’s plates. For what a work, W, was made to overcome the electrons repulsion [not only, but mostly] on the plate, etc. What, correspondingly, resulted in that just electrons obtain additional energy E=W, which, correspondingly, was stored as increased the electrons rest masses in ∆m=E/c2;

- and so, say, not a field between plates by some mystic way heats the resistor, that electrons do quite non-mystically interacting with electrons ant atoms in the resistor; at that the electrons rest masses are decreasing, released electrons’ energy heats the resistor at cat the interactions.

Cheers
⚠ Тільки зареєстровані користувачі бачать весь контент та не бачать рекламу.
********************24-04-03-26
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Cheers
Вторник . 05.05. 2026, 15-30
 
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