Relativistic KE for omnidirectional feats

[KLOL506]

Bump

@DontTalkDT

 

[DontTalkDT]

Bump

Edit: on a second thought, I'm not sure if that'll work since I have no idea how to adjust t to that. So I'll go with density increasing which will add extra γ(r). For example case 1 will look like that:

2πϱHc² ∫₀ᴿ (γ(r) - 1) γ(r) r dr =

2πϱHc² ∫₀ᴿ (1/(1 - V²r²/(R²c²)) - 1/√(1 - V²r²/(R²c²))) r dr

So, is the idea that the Lorentz-transformation does a 1/γ(r) for the length contraction since mass is divided by volume that gets inverted into an added γ(r)? Or what are your steps?

 

[Floxy178]

So, is the idea that the Lorentz-transformation does a 1/γ(r) for the length contraction since mass is divided by volume that gets inverted into an added γ(r)? Or what are your steps?

It's just either replacing dr by γ(r) * dr or rho by γ(r) * rho, you can think either way.

 

[DontTalkDT]

It's just either replacing dr by γ(r) * dr or rho by γ(r) * rho, you can think either way.

Sure, but why are you making these replacements?

 

[Floxy178]

Sure, but why are you making these replacements?

Because differential thickness we measure dr is Lorentz-contracted compared to proper thickness (say dr0) and relation would be dr = dr0/γ(r). For proper mass, we should use proper values.

Alternatively if we go with density, you'd multiply it by γ(r) if object as a whole was moving at same speed right? I'm doing same thing, just locally.

Edit: reread your last post and yeah that's the idea.

 

[Floxy178]

Bump.

Bump

@DontTalkDT

@KLOL506 if DT eventually accepts this we're still going to need at least one more CGM. Since Ugarik doesn't seem to be active, do you have anyone else in mind who could be interested in this thread?

 

[KLOL506]

Only other homies I know who can tackle this are @Executor_N0 and @Migue79.

 

[Floxy178]

Thanks for help.

 

[Floxy178]

So, is the idea that the Lorentz-transformation does a 1/γ(r) for the length contraction since mass is divided by volume that gets inverted into an added γ(r)? Or what are your steps?

Because differential thickness we measure dr is Lorentz-contracted compared to proper thickness (say dr0) and relation would be dr = dr0/γ(r). For proper mass, we should use proper values.

Alternatively if we go with density, you'd multiply it by γ(r) if object as a whole was moving at same speed right? I'm doing same thing, just locally.

Edit: reread your last post and yeah that's the idea.

Bump.

 

[DontTalkDT]

A thoroughly written proof would be ideal, but this is probably fine like that. We gotta need a second proper evaluation, though.

 

[Floxy178]

A thoroughly written proof would be ideal, but this is probably fine like that. We gotta need a second proper evaluation, though.

Thanks! I'll edit the OP according to that a little later and call some CGMs. Putting you as agree then.

 

[Floxy178]

Bump

 

[Antvasima]

@Executor_N0 @Therefir @Damage3245 @TheRustyOne @Armorchompy @Migue79 @Psychomaster35 @Dark-Carioca @Aguywhodoesthings @Agnaa @Dalesean027 @DemiiPowa @Flashlight237 @SeijiSetto @SunDaGamer

Are any of you willing to take a look here please?

 

[Floxy178]

Bump

 

[KLOL506]

bump

 

[Dalesean027]

The revised method should be fine

 

[Floxy178]

The revised method should be fine

Thanks for evaluation.

So should it be an addition to KE feats page or a seperate page as omnidirectional feats in general?

Made the calculator if anyone's wondering (with help of AI but checked a few times and there shouldn't be any problem). if it's not fully visible switch to desktop mode.

 

[Lilybitdun]

unless the KE feats page gets modified to include omnidirectional feats, I would assume this would go on the cloud calculations page since that's where the regular omnidirectional ke formulas are at

 

[Floxy178]

unless the KE feats page gets modified to include omnidirectional feats, I would assume this would go on the cloud calculations page since that's where the regular omnidirectional ke formulas are at

I believe spherical case is uncommon for cloud feats.

 

[Lilybitdun]

I believe spherical case is uncommon for cloud feats.

I can already think of one example via luffy dispersing's enel raigo

 

[KLOL506]

@Mr. Bambu @Executor_N0 @Therefir @Damage3245 @TheRustyOne @Armorchompy @Migue79 @Psychomaster35 @Dark-Carioca @Aguywhodoesthings @Agnaa @DemiiPowa @Flashlight237 @SeijiSetto @SunDaGamer Input here would be appreciated.

 

[Dark-Carioca]

Could've sworn I already posted in here

What's left to do here?

 

[KLOL506]

Just approvals of the formula and whatnot. Though I feel like another CGM approval might be needed plus that of Bambu's.

 

[Floxy178]

Could've sworn I already posted in here

What's left to do here?

Formulas are already accepted. I also made a calculator and now we need to decide how to implement them (for example adding to KE feats page, creating its own page, adding to clouds calcs page, etc.).

 

[Floxy178]

Bump

 

[Floxy178]

Formulas are already accepted. I also made a calculator and now we need to decide how to implement them (for example adding to KE feats page, creating its own page, adding to clouds calcs page, etc.).

Bump

 

[Dark-Carioca]

(for example adding to KE feats page

This would work best imo

(though I think you'd need another thread to implement that)