I see! You indeed need to transform both the 4-vector and the coordinate
system for the GR formalism to apply here.
Saibal
On 02-10-2024 00:45, Alan Grayson wrote:
On Tuesday, October 1, 2024 at 6:44:04 AM UTC-6 smitra wrote:
On 26-09-2024 12:22, Alan Grayson wrote:
Maxwell's Equations are
On Tuesday, October 1, 2024 at 6:44:04 AM UTC-6 smitra wrote:
On 26-09-2024 12:22, Alan Grayson wrote:
> Maxwell's Equations are written in vector form, and vectors are
> tensors, and tensors are invariant under change of coordinates. It is
> known that ME are invariant under the Lorentz tran
On Mon, Sep 30, 2024 at 11:14 PM Alan Grayson
wrote:
*>> A rank 1 Tensor (a.k.a. * *a vector) is not necessarily invariant under
> changes in the coordinate system, instead it transforms in a **specific,
> consistent way**. For example angular momentum is not invariant under
> coordinate* *transl
On 26-09-2024 12:22, Alan Grayson wrote:
Maxwell's Equations are written in vector form, and vectors are
tensors, and tensors are invariant under change of coordinates. It is
known that ME are invariant under the Lorentz transformation, and
predict that EM waves travel at the velocity of light re
On Monday, September 30, 2024 at 1:41:16 PM UTC-6 John Clark wrote:
On Mon, Sep 30, 2024 at 3:14 AM Alan Grayson wrote:
*> there's a subtle but important difference between coordinate
transformations, and frame of reference transformations*
*That's very true. A rank 1 Tensor (a.k.a. * *a v
On Monday, September 30, 2024 at 1:41:16 PM UTC-6 John Clark wrote:
On Mon, Sep 30, 2024 at 3:14 AM Alan Grayson wrote:
*> there's a subtle but important difference between coordinate
transformations, and frame of reference transformations*
*That's very true. A rank 1 Tensor (a.k.a. * *a v
On Mon, Sep 30, 2024 at 3:14 AM Alan Grayson wrote:
*> there's a subtle but important difference between coordinate
> transformations, and frame of reference transformations*
*That's very true. A rank 1 Tensor (a.k.a. * *a vector) is not necessarily
invariant under changes in the coordinate sy
On Sunday, September 29, 2024 at 8:04:32 PM UTC-6 Brent Meeker wrote:
A Galilean boost *could be* an accurate transformation in some other world,
but it's not in this world. It's only an approximation at small boosts.
There can be more than one mathematically consistent transformation but
o
A Galilean boost /could be/ an accurate transformation in some other
world, but it's not in this world. It's only an approximation at small
boosts. There can be more than one mathematically consistent
transformation but only one physically realized one.
Brent
On 9/29/2024 6:16 PM, Alan Gra
On Sunday, September 29, 2024 at 12:29:34 PM UTC-6 John Clark wrote:
On Sun, Sep 29, 2024 at 2:07 PM Alan Grayson wrote:
* >> Galilean relativity is a very good approximation of reality as long as
the speeds don't become too high, and it would also be completely invariant
under coordinate tr
On Sun, Sep 29, 2024 at 2:07 PM Alan Grayson wrote:
* >> Galilean relativity is a very good approximation of reality as long as
> the speeds don't become too high, and it would also be completely invariant
> under coordinate transformation IF Galileo's assumptions were correct;
> namely that ther
On Sunday, September 29, 2024 at 11:17:08 AM UTC-6 John Clark wrote:
On Sun, Sep 29, 2024 at 8:41 AM Alan Grayson wrote:
*> But ME are written in tensor form. *
*Yes. *
*> Doesn't that mean the equations are invariant under coordinate
transformations?*
*Yes.*
*>If so, shouldn't ME be in
On Sun, Sep 29, 2024 at 8:41 AM Alan Grayson wrote:
*> But ME are written in tensor form. *
>
*Yes. *
*> Doesn't that mean the equations are invariant under coordinate
> transformations?*
>
*Yes.*
*>If so, shouldn't ME be invariant under the Galilean transformation, which
> is a coordinate tr
On Sunday, September 29, 2024 at 6:08:07 AM UTC-6 John Clark wrote:
On Sun, Sep 29, 2024 at 6:57 AM Alan Grayson wrote:
*>> Yes and that's why Maxwell's Equations needed no modification to be
consistent with Special Relativity or General Relativity, although they are
inconsistent with Quantu
On Sun, Sep 29, 2024 at 6:57 AM Alan Grayson wrote:
*>> Yes and that's why Maxwell's Equations needed no modification to be
> consistent with Special Relativity or General Relativity, although they are
> inconsistent with Quantum Mechanics. Maxwell's theory predicted what the
> speed of light wou
On Thursday, September 26, 2024 at 8:13:50 AM UTC-6 Alan Grayson wrote:
On Thursday, September 26, 2024 at 5:45:46 AM UTC-6 John Clark wrote:
On Thu, Sep 26, 2024 at 6:22 AM Alan Grayson wrote:
*> Maxwell's Equations are written in vector form, and vectors are tensors,
and tensors are invari
On Thursday, September 26, 2024 at 5:45:46 AM UTC-6 John Clark wrote:
On Thu, Sep 26, 2024 at 6:22 AM Alan Grayson wrote:
*> Maxwell's Equations are written in vector form, and vectors are tensors,
and tensors are invariant under change of coordinates. It is known that ME
are invariant under
On Thursday, September 26, 2024 at 5:45:46 AM UTC-6 John Clark wrote:
On Thu, Sep 26, 2024 at 6:22 AM Alan Grayson wrote:
*> Maxwell's Equations are written in vector form, and vectors are tensors,
and tensors are invariant under change of coordinates. It is known that ME
are invariant under t
On Thu, Sep 26, 2024 at 6:22 AM Alan Grayson wrote:
*> Maxwell's Equations are written in vector form, and vectors are tensors,
> and tensors are invariant under change of coordinates. It is known that ME
> are invariant under the Lorentz transformation, and predict that EM waves
> travel at the
Maxwell's Equations are written in vector form, and vectors are tensors,
and tensors are invariant under change of coordinates. It is known that ME
are invariant under the Lorentz transformation, and predict that EM waves
travel at the velocity of light regardless of the coordinate system. So,
20 matches
Mail list logo
