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The Lorentz factor is a particular case of a factor which depends on the angle between space and time, for example to find the $\gamma$ factor directly, we use the Pythagore theorem $\vec{c}^{2}t'^{2}=\vec{v}t'^{2}+\vec{c_{0}}^{2}t^{2}$$,\;\;|\vec{c}|=|\vec{c_{0}}|=c$$\vec{c}^{2}t'^{2}=\vec{v}^{2}t'^{2}+\vec{c_{0}}^{2}t^{2}$$,\;\;|\vec{c}|=|\vec{c_{0}}|=c$ (the case where $\vec{c}_{0}\perp \vec{v} $$\vec{c}_{0}\perp \vec{v}$, i.e. the observer moves orthogonally away from the event ), in the ca where it is $\,\vec{c}\perp \vec{v} \,$ we have $K=\frac{1}{\sqrt{1+\frac{v^{2}}{c^{2}}}}\,$(thei.e. the observer approaches the event orthogonally ).

So the calculation of the length depends on the angle and direction of the observer in relation to the event.

The Lorentz factor is a particular case of a factor which depends on the angle between space and time, for example to find the $\gamma$ factor directly, we use the Pythagore theorem $\vec{c}^{2}t'^{2}=\vec{v}t'^{2}+\vec{c_{0}}^{2}t^{2}$$,\;\;|\vec{c}|=|\vec{c_{0}}|=c$ (the case where $\vec{c}_{0}\perp \vec{v} $), in the ca where it is $\,\vec{c}\perp \vec{v} \,$ we have $K=\frac{1}{\sqrt{1+\frac{v^{2}}{c^{2}}}}\,$(the observer approaches the event).

So the calculation of the length depends on the angle and direction of the observer in relation to the event.

The Lorentz factor is a particular case of a factor which depends on the angle between space and time, for example to find the $\gamma$ factor directly, we use the Pythagore theorem $\vec{c}^{2}t'^{2}=\vec{v}^{2}t'^{2}+\vec{c_{0}}^{2}t^{2}$$,\;\;|\vec{c}|=|\vec{c_{0}}|=c$ (the case where $\vec{c}_{0}\perp \vec{v}$, i.e. the observer moves orthogonally away from the event ), in the ca where it is $\,\vec{c}\perp \vec{v} \,$ we have $K=\frac{1}{\sqrt{1+\frac{v^{2}}{c^{2}}}}\,$(i.e. the observer approaches the event orthogonally ).

So the calculation of the length depends on the angle and direction of the observer in relation to the event.

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The Tiler
The Tiler
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The Lorentz factor is a particular case of a factor which depends on the angle between space and time, for example to find the $\gamma$ factor directly, we use the Pythagore theorem $\vec{c}^{2}t'^{2}=\vec{v}t'^{2}+\vec{c_{0}}^{2}t^{2}$$,\;\;|\vec{c}|=|\vec{c_{0}}|=c$ (the case where $\vec{c}_{0}\perp \vec{v} $), in the ca where it is $\,\vec{c}\perp \vec{v} \,$ we have $K=\frac{1}{\sqrt{1+\frac{v^{2}}{c^{2}}}}\,$(the observer approaches the event).

So the calculation of the length depends on the angle and direction of the observer in relation to the event.

The Lorentz factor is a particular case of a factor which depends on the angle between space and time, for example to find the $\gamma$ factor directly, we use the Pythagore theorem $\vec{c}^{2}t'^{2}=\vec{v}t'^{2}+\vec{c_{0}}^{2}t^{2}$$,\;\;|\vec{c}|=|\vec{c_{0}}|=c$ (the case where $\vec{c}_{0}\perp \vec{v} $), in the ca where it is $\,\vec{c}\perp \vec{v} \,$ we have $K=\frac{1}{\sqrt{1+\frac{v^{2}}{c^{2}}}}\,$(the observer approaches the event).

The Lorentz factor is a particular case of a factor which depends on the angle between space and time, for example to find the $\gamma$ factor directly, we use the Pythagore theorem $\vec{c}^{2}t'^{2}=\vec{v}t'^{2}+\vec{c_{0}}^{2}t^{2}$$,\;\;|\vec{c}|=|\vec{c_{0}}|=c$ (the case where $\vec{c}_{0}\perp \vec{v} $), in the ca where it is $\,\vec{c}\perp \vec{v} \,$ we have $K=\frac{1}{\sqrt{1+\frac{v^{2}}{c^{2}}}}\,$(the observer approaches the event).

So the calculation of the length depends on the angle and direction of the observer in relation to the event.

Source Link
The Tiler
The Tiler
  • 1.5k
  • 1
  • 4
  • 9

The Lorentz factor is a particular case of a factor which depends on the angle between space and time, for example to find the $\gamma$ factor directly, we use the Pythagore theorem $\vec{c}^{2}t'^{2}=\vec{v}t'^{2}+\vec{c_{0}}^{2}t^{2}$$,\;\;|\vec{c}|=|\vec{c_{0}}|=c$ (the case where $\vec{c}_{0}\perp \vec{v} $), in the ca where it is $\,\vec{c}\perp \vec{v} \,$ we have $K=\frac{1}{\sqrt{1+\frac{v^{2}}{c^{2}}}}\,$(the observer approaches the event).