Mach's principle states that every mass in the universe influences every other mass. Crucially, Mach's principle inspired Einstein to formulate General relativity. Although his final theory did not adhere to this principle, Mach's ideas continue to inspire scientific thinking. Nevertheless, Einstein's equations can be expressed in a form that lacks time dependence. The resulting static universe presents an apparent contradiction to observed reality. Page and Wootters recognized that changes in entangled systems can leave the global state of the cosmos unchanged.
Page and Wootters’ mechanism (PaW) predicts that quantum entanglement results in a static state for the universe. We uphold the principle by dividing the cosmos into compact and non-compact dimensions, insulating the wave function from space and gravity. In this scenario, entangled sister particles adhere to conservation principles independently of distance while modifying the local volume. Either pressure or vacuum generates an orthogonal transformation (interaction) to restore symmetry. Over time, space contracts in some areas and expands in others, resulting in curvature.
In extreme cases, the universe degenerates into poles. The loss of dimensionality produces two-dimensional black holes, while an increase in dimensionality forms four-dimensional white holes. The poles remain connected by a smooth topology, transforming gravity into a bipolar force. This verifiable hypothesis supersedes general relativity by satisfying Mach’s principle. Dimensional anisotropy suggests a possible path for unification with quantum mechanics.
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