Help me understand this.Consider an object moving through space.If space is continuous then surely it must be comprised of an infinite number of points, with the object moving through one point at a time.If however space is discrete then the object must shunt from one discrete space to another in a series of jumps.Or do you think that space can just be subdivided infinitely without ever reaching a point? And therefore any object moving through space can also be subdivided infinitely?How do you rationalize this? What is your conception of space and movement?Waiting for Planck space answers too.
>>17030589A "point" is a man-made abstraction. Does not exist in physical reality.Space is continuous. Things travel through it. If you go x speed for y time then you will travel xy distance. >but muh zeno's paradoxNonsense. Confuses mathematical modeling for physical reality. The mathematical model led to contradictions like that so we invented a better one.
>>17030589>Not answering sealionsBased
>>17030589>If space is continuousstopped reading here
It has many worlds rotating around the outer quantum of the atom while it's still physically real inside. We can't explain it. (recent words from Sean Carroll)
2. Tensor Deformation Matrix ($\mathbf{R}_{\text{tensor}}$)Dictates continuous spatial distortion, volumetric shear stress, and vector field rotation along the toroidal manifold.3. Energy Accumulation & Dual Bifurcation Function ($\mathbf{\Phi}_{\text{bifurcation}}$)Enforces lower operational bounds and governs topological branch selection when energy density breaches critical limits ($E_{\text{crit}} \ge 2.0 + \epsilon$, where $\epsilon \in [0.05, 0.10]$ represents the entropic work activation margin):Branch A — Linear / Sub-Octave Filamentation ($m=1$ Mode): Under asymmetric axial strain, the localized core pinches and sheds excess circulation into a trailing filamental sub-octave tail ($1/6$ relative scale) while preserving primary core balance.Branch B — Orthogonal / Super-Octave Planar Fold ($m=2$ Mode): Under quadrupolar compression, anti-parallel core lines undergo $90^\circ$ figure-eight cross-linking, merging structural vorticity into a re-stabilized rolling ring ($1 \to 2$ daughter topology).
Current evidence and our best physics theories treat space as continuous, though some theories suggest it might be discrete at a microscopic level. There have been some attempts to formulate viable discrete models of space, however none have been successful to date and even the very best attempts have ended up making some compromises in that respect — for example, in loop quantum gravity, it is areas that are quantized rather than lengths (which can still change continuously and co-vary with each other so as to keep areas discrete), while in doubly-special relativity lengths are still continuous but there is a minimum length scale. Even for these models however, there is still no empirical evidence to support them.There are also some important theoretical reasons to believe space is continuous. For example, space appears to respect Lorentz symmetry, which is a continuous symmetry; any discretization of spacetime would necessitate at least some very small violations of Lorentz symmetry, but no such violations are known to exist in nature and Lorentz symmetry appears to be very fundamental to the structure of space and time.
