I do not say that it is so, I say that it maybe so

The Vectorial Theory of the Universe

Tomasz Plewicki

 

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Basics.

The velocity in the space.

Changes are a matter of the existence. I found that every element has constant velocity in the multidimensional hyperspace Sn. The v elocity observed in the surrounding us three-dimensional space S3 is a projection of the constant velocity in the space Sn on the space S3. The change of the velocity relies only on the change of direction of the vector in Sn what causes the change of the length of the projection of the vector on the space S3.

 

The composition of the velocity.

Let us consider the case of the composition of the velocity in the two-dimensional space. Let us mark the constant maximum velocity in the space as the vector C and its projection on the one-dimensional space as V. So we have:

V = C cosa

Because C is a maximum length of the projection of the vector on the one-dimensional space the maximum change of the vector V length under of the composition with a vector C amounts:

Vad max = C - V = C(1 - cosa )

Because:

cosa = V/C

We have:

Vad max = C(1 - V/C)

If the vector causing the change of the velocity has in the one-dimensional space the length V1 then:

Vad = V1(1 - V/C)

Then the vector sum of the velocity amounts:

Vsum = V + V1(1 - V/C) = V + V1 - V*V1/C

And is less or equal C.

Let us consider now the stop of the element in the one-dimensional space. If:

0 = V + V1 - V*V1/C

then:

V1 = -V/(1 - V/C)

It appears that if V = C then element will not surrender to stop with the interference from the one-dimensional space. This reasoning can be generalized on any multidimensional hyperspace.

 

The mass, the inertia.

I f ound that the inert mass is a compliance of the vector of the velocity C on the change of direction in the hyperspace. If the element has in the space S3 the velocity equal to the zero (the vector C is orthogonal to S3) then the change of the velocity in S3 under the composition with a vector V1 parallels to S3 will be equal:

DV0 = V1

The next change of the velocity of the element under of the same vector V1 will be equal:

DV1 = V1 - V*V1/C

If the change of the momentum in S3 in both cases will be the same then:

m0DV0 = m1DV1

So we have:

m0V1 = m1(V1 - V*V1/C)

m0/m1 = 1 - V/C

m1 =m0/(1 - V/C)

Making allowance for above considerations can be raised a thesis that the inert mass is a propriety of the space.