[Virtual State (OP)]

https://math.stackexchange.com/questions/1476391/what-is-the-cross-product-in-spherical-coordinates

[chiralSPO]

Choice of coordinate system should not (does not) change the result of any of any operation. If a cross product of two vectors is another vector in one coordinate system (it is), then it will be the same vector in another coordinate system (represented differently, but still identical).

It doesn't matter whether the coordinate axes are orthonormal (as long as they span the space required), what size of unit is chosen (inches, centimeters, lightyears, radians, degrees, etc.), or whether the coordinate system is right-handed or left-handed. There can even be different numbers of dimensions.

Some coordinate systems are much harder to use than others, especially given the specific problem at hand.

[Virtual State (OP)]

I don't want the result to change. I think it is describing a virtual vector matter wave becoming a physical scalar volume.

[Colin2B]

I think it is describing a virtual vector matter wave becoming a physical scalar volume.

You need to reread and understand what @chiralSPO the stackexchange team wrote.
A matter wave is just a description of how a moving particle behaves based on observation. It’s as if you are picking up physics terminology without understanding and linking them together without valid reasons. You had this problem in your previous incarnations.

I suggest you confine yourself to New Theories until you have learnt some real physics.

[Virtual State (OP)]

What do you call a wave with mass? A wave with mass turns into a physical scalar volume, an atom.

[chiralSPO]

What do you call a wave with mass? A wave with mass turns into a physical scalar volume, an atom.

There are a lot of issues with this statement, but I'll focus on the last part.

An atom is not a scalar quantity, nor does it have a well-defined volume.

Each of the electrons in an atom can be described as a vector with 4 quantum numbers (N, L, m_L, and m_s (the nucleons also have quantum numbers, but we can ignore that for the moment). So describing any atom with n electrons numerically could involve a 4xn matrix, or a single vector with 4n elements (probably the best way), and couldn't be represented by a single number (it's not a scalar).

[Bored chemist]

I think it is describing a virtual vector matter wave becoming a physical scalar volume.

Do you realise that neither "a virtual vector matter wave " nor "a physical scalar volume" actually means anything?

[Virtual State (OP)]

I'm suggesting Phi is used to generate individual particles and then the full atom becomes a physical scalar volume sphere, physicality.

[Colin2B]

I'm suggesting Phi is used to generate individual particles and then the full atom becomes a physical scalar volume sphere, physicality.

I'm suggesting that if you are serious about discussing your ideas you should read what @chiralSPO has written otherwise you will just get replies like those from @Bored chemist
The atom is not a sphere and it is not a scalar quantity.

[Bored chemist]

I think it is describing a virtual vector matter wave becoming a physical scalar volume.

Do you realise that neither "a virtual vector matter wave " nor "a physical scalar volume" actually means anything?

I'm suggesting Phi is used to generate individual particles and then the full atom becomes a physical scalar volume sphere, physicality.

Do you realise that neither "Phi is used to generate individual particles" nor "physical scalar volume sphere, physicality" actually means anything?