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Can Dimensional Anisotropy Satisfy Mach's Principle? A Topological Approach to Variable Dimensions of Space using the Borsuk-Ulam Theorem

Eva Deli and James F. Peters

We create a model universe by insulating a compact Wave Function (WF) with an information-blocking horizon. The WF can produce entanglement independent of distance but interaction with the horizon evolves the quantum state (frequency) of the WF and the topology (curvature) of the horizon, satisfying the Borsuk-Ulam Theorem and the Page and Wootters mechanism of static time. Therefore, in an orthogonal relationship, the field curvature measures the particle’s evolution over time. Because increasing field strength accumulates pressure, whereas negative curvature creates a vacuum, their opposing dynamics give rise to poles with dimensionality transformations; pressure culminates in two-dimensional black hole horizons (infinite time), whereas vacuum gives rise to four-dimensional cosmic voids (time zero). The orthogonality of the field and the compact WF is global self-regulation that evolves and fine-tunes the cosmos’ parameters. The four-dimensional cosmic voids can produce accelerating expansion without dark energy on the one hand and pressure gives the impression of dark matter on the other. The verifiable and elegant hypothesis satisfies Mach's principle. Above alternative answer regarding the spreading of light also makes absolutely necessary to perform the above missing experiment, as a direct way that convinces anybody how light is spreading. The present article will empower big labs to perform this crucial experiment.