What is the Halting Criterion for Hilbert's 10th Problem?

[Guest]

Who knows?

My number theory adventures are now behind me...

And I have decided to work on David Hilbert's Sixth Problem or related research in order to advance the theory of energy.

But Hilbert's Tenth Problem, a very beautiful and important problem, I strongly believe, is solvable (a positive answer with a polynomial time algorithm). Am I wrong?

Dave.

"The further a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separated branches of the science." -- David Hilbert.

[Guest]

What is the Halting Criterion for Hilbert's 10th Problem?

Please share your insights, solutions, etc.

Thank you!

[Guest]

What is the Halting Criterion for Hilbert's 10th Problem?

Please share your insights, solutions, etc.

Thank you!

[Guest]

What is the Halting Criterion for Hilbert's 10th Problem?

Please share your insights, solutions, etc.

Thank you!