Cubic Diophantine Equations Proven Undecidable, Extending Hilbert's Tenth

Researchers proved cubic Diophantine equations can encode the halting problem, undecidable (Oct 2025) using Zeckendorf representation of Fibonacci numbers. Read more: getnews.me/cubic-diophantine-equati... #cubicdiophantine #undecidable

📚 Turing also answered Hilbert’s Entscheidungsproblem:
Is there a general algorithm to decide the truth of any math statement?

Answer: No.
No such universal decision method exists.

#Math #undecidable

4/🧵

📌 In other words:
There’s no algorithm that can always decide if a program halts or runs forever.

That’s the halting problem:
A concrete example of an undecidable problem in computation.

#HaltingProblem #undecidable

2/🧵

📚 Turing also answered Hilbert’s

Entscheidungsproblem:
Is there a general algorithm to decide the truth of any math statement?

Answer: No.
No such universal decision method exists.

#Math #undecidable

4/🧵

📌 In other words:
There’s no algorithm that can always decide if a program halts or runs forever.

That’s the halting problem:
A concrete example of an undecidable problem in computation.

#HaltingProblem #undecidable

2/🧵