Context: This law is a fundamental principle of physics. As shown rigorously by Noether's theorem, the conservation of energy is a mathematical consequence of translational symmetry of time, a property of most phenomena below the cosmic scale that makes them independent of their locations on the time coordinate. Put differently, yesterday, today, and tomorrow are physically indistinguishable. This is because energy is the quantity which is canonical conjugate to time. This mathematical entanglement of energy and time also results in the uncertainty principle - it is impossible to define the exact amount of energy during any definite time interval. The uncertainty principle should not be confused with energy conservation - rather it provides mathematical limits to which energy can in principle be defined and measured.

Question: What shows that the conservation of energy is a mathematical consequence of translational symmetry of time?
Answer: Noether's theorem

Question: What is the quantity which is canonical conjugate to time?
Answer: energy

Question: This mathematical entanglement of energy and time results in what?
Answer: the uncertainty principle

Question: What states it is impossible to define the exact amount of energy during any definite time interval?
Answer: uncertainty principle

Question: What shows that the conservation of energy is a mathematical consequence of translational asymmetry of time?
Answer: Unanswerable

Question: What is the quality which is canonical conjugate to time?
Answer: Unanswerable

Question: This mathematical entanglement of energy and space results in what?
Answer: Unanswerable

Question: What states it is possible to define the exact amount of energy during any definite time interval?
Answer: Unanswerable

Question: what should be confused with the uncertainty principle?
Answer: Unanswerable