Line Theory

Line Theory – a one-dimensional cosmology Abstract We propose that spacetime, matter, and every interaction emerge from the topology of a single, infinite, one-dimensional line. Curvature arises when the line self-intersects; mass equals the density of crossings. Energy is tension; force, friction between parallel strands that never quite knot. No extra dimensions needed-just a stubborn thread that keeps looping back on itself until the loops connect, and disconnect, in equal measure.

Observable predictions: (i) light bends only where knots are dense; (ii) expansion accelerates because the line is fraying; (iii) dark matter is simply the line's shadow-old loops we can't see but still feel tugging.

Section 1 – Geometry Picture a string with no width. It moves forward only. Then it bends. Where it folds and kisses its own skin, mass appears. Call that density ρ = number of crossings per proper length. Zero crossings: vacuum. One: an electron. Six: a proton. The rest is combinatorics.

Section 2 – Dynamics Tension T ∝ 1/(separation between lines). When T > threshold, intersections fire photons-photons are the the line makes when it snaps back. Gravity? The ghost: mass drags everything else toward tighter loops, like yarn pulled through a finger-hole.

Section 3 – Thermals Entropy S grows only when knots loosen. That's why time runs forward-nothing can tighten every loop again. Dark energy is just slack: the line deciding it's had enough.

Section 4 – Tests – Gravitational lensing should correlate exactly with knot density; no smooth curvature allowed. – CMB should show fractal ripples-old fray lines. – At Planck length, the line stops pretending to be smooth; we'll see pixelation.

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