Not working in academia but UNQUENCHABLE curiosity

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Phinrich
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I have a Bachelor of Science (Hons) Degree in Physics. I studied Physics (3 years), Applied Mathematics (3 years), Pure Mathematics (2 years) and 1 year of Astronomy. I am a Radiation Protection Specialist and Specialist in the Safe Transport of Radioactive Material. I like to keep updated on the latest in Physics. I also have a few pet physics projects of my own.
 
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Hi Greg.

I have a fascination with the General Theory of Relativity. I like playing with new ways of looking at it and at other Physics ideas. Right now I am wondering if it i mathematically correct to define the Direct Sum Space of a Vector Space V and its Dual Vector Space V* ? This is for one of my Projects. Obviously if V has Dimension 3 then V* will also have Dimension 3 and the Direct Sum Space should have Dimension 6? Is this possible ? I guess I will have to post as a question in the correct forum.
Paul