Why Matter Creates Spacetime
In 1907, Albert Einstein published a simple set of four algebraic equations that allowed physicists to translate spacetime coordinates between different inertial frames -- that is, between systems in motion relative to each other. These equations work beautifully for particles and have been the basis for relativistic physics ever since.
However, there is a problem: Einstein overlooked a single term necessary to obtain correct coordinates between systems with non-zero lengths. Since the most common objects that travel at relativistic speeds are particles with zero length, this omission has not, for the most part, created significant problems.
Adding the missing term, which is nothing more than the length of the accelerated system, results in an almost identical set of equations that should work better for large, interconnected systems such as GPS satellites. What is less apparent and more interesting is that inserting the length of accelerated systems into Einstein's equations results in a catastrophic breakdown of the common image of spacetime as a unified, universe-spanning concept. Instead, spacetime is fragmented and attached to finite-size clusters of material objects. Hierarchies of virtual computers provide a surprisingly insightful model for understanding this new, fractally complex version of spacetime. Every well-organized set of accelerated matter behaves like a new instance of a virtual computer, one fully capable of "executing" its local version of spacetime and all known physics down to the level of quantum mechanics. No instance (inertial frame) can discern whether it is a virtual or real computer. However, the hierarchy and history of inertial frame creation always give the larger picture and constrain the resources available to each new instance of spacetime and physics.
The full paper, The Relativistic Structure of Spacetime, has 12 pages, 10 figures, 16 equations (all algebraic, no calculus needed), and 5 references:
Research (Method to generate static waves via Euler's contain column theory)
2 个月Very informative and interesting insight.
Occasional inventor & applied epistemologist ?? Imagining fascinating things and working to make them real
2 个月Terry Bollinger ? nice discussion… next aspect… what about quantum limits? In quantum pictures anything below Planck length, time, or energy, is kinda undefined , quantum foam universe? Zero length, zero dimension stuff doesn’t really fit well to begin with. Ok, does one have to retreat to the fact that all these are *models* of reality, not reality itself. The measures of utility of a model are a)how well you can predict things, and b) avoidance of contradictions. If you predict things in one application but the approach introduces contradictions elsewhere… then model is a temporary crutch… Thankfully, endless food for thought… enjoy the smorgasbord ??