The hypothesis presented outlines a conceptual journey from a state devoid of dimensions or events to our observable universe. It proposes a progression involving different stages of existence, their association with dimensions, events, and physical laws.
The break down and analysis of the mathematical and scientific consistencies within this hypothesis:
Non-Dimensional Existence: It suggests a state without events, lacking spatial dimensions or time invocation. It's a conceptual idea that reflects the absence of events corresponding to zero-point energy. Mathematically, it posits a theoretical point without extension.
Mathematical Consistency: The idea of a non-dimensional point without events is conceptual but aligns with mathematical notions like zero-point energy or theoretical points.
Scientific Consistency: This phase aligns with concepts like zero-point energy in theoretical physics, portraying a state without events or dimensions.
Linear-Dimensional Existence: Originating from the non-dimensional point, this stage introduces events and linear space, invoking local time in two dimensions. It references string theory's idea of strings, appearing as points but possessing tiny lengths.
Mathematical Consistency: The reference to strings in string theory and their tiny lengths (about 10⁻³³ cm) aligns mathematically with certain concepts in string theory.
Scientific Consistency: The concept of strings appearing as points but having a minute length fits within the framework of string theory, a theoretical physics model.
Existence Beyond the Planck Scale: It suggests existence and events beyond the Planck scale, hypothesizing three-dimensional space beyond our perceptual limits. It speculates about dark matter and dark energy interactions beyond this scale.
Mathematical Consistency: Mathematically, the suggestion of dimensions and interactions beyond the Planck scale aligns with speculative theories but lacks direct mathematical proof due to limitations.
Scientific Consistency: The proposition of entities like dark matter and dark energy beyond the Planck scale aligns with certain speculative aspects of cosmology and particle physics, but empirical evidence is yet to fully validate these ideas.
Transition to Observable Universe: Entities entering the Planck scale become perceivable, adhering to known physical laws within our observable universe, invoking four-dimensional time in three-dimensional space.
Mathematical Consistency: It aligns mathematically with the concept of entering the threshold of the Planck scale and adhering to known physics laws.
Scientific Consistency: The idea of entities becoming observable as they enter the Planck scale aligns with theoretical propositions within physics, considering known laws of physics within our observable universe.