Discussions on the space‐time structure, Hamilton’s field, and Breakthrough Starshot project

This article can be regarded as the author's exploration of the space‐time structure and of field theory. The author first puts forward the equivalence of time and space based on Hamilton’s principle and then applies Newton's laws of motion to the interpretation of an object’s motion in time, thus deducing that Newton's first law of motion and the principle of constancy of light speed were to be unified. And then the author summarizes the three states of motion existing in the physical world, specially explores the state of motion that is not to be limited by force or the speed of light, and further comes up with a new interpretation of the falling apple. Next, pursuing the understanding of Hamilton's principle and Hamilton’s Tension Equation (THE), the author explores the space‐time structure corresponding to the state of super-light-speed and super-force, and puts forward the Hamilton’s field and its full description and main characteristics. The author also indicates that the Hamilton’s field could realize the unification of fields with physical geometrization. Finally, the author applies the principles of Hamilton’s field to the research of the Breakthrough Starshot project and explores the three breakthroughs as needed. A new photoelectric effect is meanwhile presented.