Space has properties {space, physics}.
measuring
How can instruments measure or perceive space or time, or changes to space or time?
origin of space
How did space arise? What causes number of spatial dimensions? Perhaps, space and time result from object interactions. Perhaps, motion necessity and nature create and require three long-range spatial dimensions. More than three spatial dimensions provide too many possibilities to be stable. Fewer than three spatial dimensions cause immobility. Perhaps, space and time result from induction.
universe
How is matter and energy universe related to space or time or space or time changes?
lattice
Perhaps, space is like lattice, with particles at nodes. Lattice has different spatial frequencies and wavelengths. Lattice diffracts light and matter, making quantum waves, with no wave interference.
Perhaps, double-slit or beam-splitter interference experiments are not about wave interference from two sources but are only about diffraction. Perhaps, entangled particles are actually always beside each other and so affect each other immediately. Perhaps, if entangled and they move apart, system wavelength increases and energy goes down, so as they move apart self-disturbance is low. Perhaps, they have continuous interaction. Perhaps, all waves are the same or share constant. Perhaps, wave amplitude depends on diffraction type.
dimensions
Space-time has three infinite space dimensions and one infinite time dimension. Spaces can have any number of dimensions. Dimensions can be not only straight and infinite, but also curled-up into circles and finite (compactified). Dimensions can be orthogonal and independent or can have relations. Dimensions can be continuous or discrete. Perhaps, space has imaginary number dimensions, and particles are local in that dimension while apart in real dimensions.
space geometries
Perhaps, space geometry started with zero dimensions and evolved to be stable space-time, with unified space and time dimensions. After zero dimensions came non-metric geometries and ordered geometries. After that came projective and/or affine geometries. (Projection uses ideal points that curl dimensions, leading later to compact dimensions with greatest curvature.) After that came metric geometries. (Metric dimensions have number, magnitude, orientation, and direction sense. Only metric dimensions can be infinite. Space-time time metric dimension is inverse space metric dimension.) After that came parabolic metric geometry (and Euclidean geometry), non-Riemannian geometry, single elliptic geometry, double elliptic geometry, and hyperbolic geometry. After quantum foam, space metric geometries evolved to be differential pseudo-Riemannian geometry.
Perhaps, only space-time can have high energy, and other metric geometries can have only empty space.
Perhaps, space-time results from hybridization of three space dimensions and one time dimension.
Perhaps, space and time dimensions cannot exist separately.
Space {Newtonian space} and time can be separate, unchanging, passive, and absolute backgrounds for matter and motions. Leibnizian space and time are object and event relations. Machian space and time are relative to matter and energy amounts and relative positions. Einsteinian space and time interrelate, change, are active, and have relative backgrounds for matter and motions. Quantum-mechanical space and time are discrete, and entangled objects stay in direct contact over any space and time amount.
If Lagrangian has continuous symmetry, it makes conservation law {Noether's theorem} {Noether theorem}.
Perhaps, space has no vacuum but only continuous objects {plenum, space}. However, space really has empty spaces.
Physical non-quantum systems with finite energy in finite volume always return to almost-similar state from any state {Poincaré recurrence theorem}.
Physical processes can turn things inside out {version, physics}|. Fluid and flexible things can turn inside out. Rigid things can turn inside out in the imagination. When right-handed glove turns inside out, it becomes left-handed glove. When bowl turns inside out, inside becomes outside and curvature reverses. Can fundamental particles turn inside out? Can universe turn inside out?
Physical-system evolution depends on point relative-distance changes, kinetic energy, and angular momenta {relative configuration}.
Given four relative configurations, find kinetic energy and angular momenta {Tait's problem} {Tait problem}.
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Date Modified: 2022.0225