Harmonically dancing space-time nodes: quantitatively deriving relativity, mass, and gravitation

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dc.creatorLieu, Richard
dc.date2000-04-26
dc.date2000-04-30
dc.date.accessioned2026-07-07T05:44:04Z
dc.date.available2026-07-07T05:44:04Z
dc.descriptionThe microscopic structure of space and time is investigated. It is proposed that space and time of an inertial observer $Σ$ are most conveniently described as a crystal array $Λ$, with nodes representing measurement `tickmarks' and connected by independent quantized harmonic oscillators which vibrate more severely the faster $Σ$ moves with respect to the object being measured (due to the Uncertainty Principle). The Lorentz transformation of Special Relativity is derived. Further, mass is understood as a localized region $ΔΛ$ having higher vibration temperature than that of the ambient lattice. The effect of relativistic mass increase may then be calculated without appealing to energy-momentum conservation. The origin of gravitation is shown to be simply a transport of energy from the boundary of $ΔΛ$ outwards by lattice phonon conduction, as the system tends towards equilibrium. Application to a single point mass leads readily to the Schwarzschild metric, while a new solution is available for two point masses - a situation where General Relativity is too complicated to work with. The important consequence is that inertial observers who move at relative speeds too close to $c$ are no longer linked by the Lorentz transformation, because the lattice of the `moving' observer has already disintegrated into a liquid state.
dc.description13 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/physics/0004071
dc.identifierhttp://arxiv.org/abs/physics/0004071
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/83487
dc.subjectGeneral Physics
dc.titleHarmonically dancing space-time nodes: quantitatively deriving relativity, mass, and gravitation
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