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2026
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| Online Access: | https://doi.org/10.5281/zenodo.19254803 |
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| _version_ | 1866901112844451840 |
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| author | Vick, Mark |
| author_facet | Vick, Mark |
| contents | <p>You move through three dimensions of space. You move through one dimension of time. And you have never-not once-noticed that you also occupy a position in a fifth dimension called scale. You have always known this dimension existed. You call it "size." You call it "zoom level." You call it "resolution." You experience it every time you look through a microscope or a telescope, every time a cell divides or a star explodes, every time you wonder why an atom looks like a solar system and a neuron looks like the cosmic web. But physics has never treated scale as a real coordinate-a direction you can move in, a distance you can measure, a geometry you can compute. This paper does. Scale Geometry promotes the renormalisation scale-the energy or length at which physics is observed-from a parameter to a coordinate. The result is a five-dimensional spacetime with a specific shape: the warp factor A(s) =-\ln(\cosh(ks)). From this single function, without adjustable parameters, the theory derives dark matter, dark energy, the cosmological constant, the MOND acceleration scale, 175 galaxy rotation curves, and the reason 95% of the universe is invisible. This paper explains the idea. Not the equations-those are in the companion papers. The idea. Why scale is a dimension. What that means. And what happens when you finally treat it like one.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19254803 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | SCALE - The Dimension You Live In But Cannot See. From Atoms to Galaxies, One Coordinate Explains Everything. Vick, Mark <p>You move through three dimensions of space. You move through one dimension of time. And you have never-not once-noticed that you also occupy a position in a fifth dimension called scale. You have always known this dimension existed. You call it "size." You call it "zoom level." You call it "resolution." You experience it every time you look through a microscope or a telescope, every time a cell divides or a star explodes, every time you wonder why an atom looks like a solar system and a neuron looks like the cosmic web. But physics has never treated scale as a real coordinate-a direction you can move in, a distance you can measure, a geometry you can compute. This paper does. Scale Geometry promotes the renormalisation scale-the energy or length at which physics is observed-from a parameter to a coordinate. The result is a five-dimensional spacetime with a specific shape: the warp factor A(s) =-\ln(\cosh(ks)). From this single function, without adjustable parameters, the theory derives dark matter, dark energy, the cosmological constant, the MOND acceleration scale, 175 galaxy rotation curves, and the reason 95% of the universe is invisible. This paper explains the idea. Not the equations-those are in the companion papers. The idea. Why scale is a dimension. What that means. And what happens when you finally treat it like one.</p> |
| title | SCALE - The Dimension You Live In But Cannot See. From Atoms to Galaxies, One Coordinate Explains Everything. |
| url | https://doi.org/10.5281/zenodo.19254803 |