"Unifying the Cosmos: Exploring the Three Levels of Scale and the Geometry of Interconnectedness"

The universe's three scales are physical spacetime, microspace, and macrospace. Each point in physical spacetime represents a location in space and time. Microspace is each point's internal symmetry in physical spacetime. Each physical spacetime point is a macrospace point.

Each of microspace, spacetime, and macrospace approximates a different mathematical structure. In the middle level, the conformal group's Lie sphere geometry describes spacetime correlations. This geometry is bilholomorphic to the Hermitian symmetric space Spin(N+2) / (Spin(N)xSpin(2)).
The D4-D5-E6-E7-E8 physics model links physics and information using the conformal structure of Lie sphere geometry. Physical wavelets connect conformal structural levels. The Maya Indians' notion of time as a holographic interference pattern rests on middle-level linkages.

Finally, the macroscopic universe is interrelated. The Big Bang, which created everything, including us, shows this. The Big Bang has connected us to everything else in the universe.

Microspace, physical spacetime, and macrospace are the least connected. RP1 x S3 continuously approximates four-dimensional microspace. Physical spacetime is also four-dimensional and approximated by continuous RP1 x S3. Finally, macrospace is approximable by continuous 27-dimensional 3x3 Hermitian Octonion Matrices and the 27-complex dimensional E7 / (E6 x U(1)). This is the set of complexified Octonion projective planes (CxO)P2 in the octonionified one (OxO)P2 with 133-78-1 = 54 real dimensions.

Quantum physicist David Bohm proposed the Super Implicate Order as the geometric structure of macrospace. This idea was inspired by Greg Egan's novel Diaspora, which has many intriguing notions, including information-based lifeforms, Truth Mines of mathematical structures, and Wang Tiling-based lifeforms.

Spacetime correlation geometry exceeds the intermediate degree of linkage. This is because the Lie Sphere Geometry of the Conformal Group of N-dimensional spacetime is bilholomorphic to the Hermitian Symmetric Space Spin(N+2) / (Spin(N)xSpin(2)) = Spin(N+2) / (Spin(N)xU(1)). Bohm's Implicate Order applies. D4-D5-E6-E7-E8 Lie Sphere Geometry's conformal structure underpins physics model. It is based on the octonionic conformal structures Spin(10)/(Spin(8)xU(1)) and E6/(Spin(10)xU(1)) and the conformal physical spacetime Spin(6)/(Spin(4)xU(1)). Physical wavelets connect physics and information at each conformal structure level.

Middle-level correlations underlie delicate phenomena. According to the Maya Indians, linear sequential time is a holographic interference pattern projected onto the next instant.Decisions create reality, and there exist parallel realities for untaken pathways. Humans benefit from these alternative realms.
The Big Bang created the cosmos, including humans. The universe is connected to itself and to us. Its interconnectedness unites the universe.

The Super Implicate Order at the Cosmic Level, the highest interconnectedness, is the Lie Group E8xE8. This level unites the universe's fundamental forces and particles. The 248-dimensional E8xE8 Lie Group has fascinated scientists for years due to its potential role in a Theory of Everything.

The E8xE8 Lie Group has all the symmetries of the Standard Model of particle physics and any other symmetries needed to describe the universe at very high energies.Due to its unique properties, the E8xE8 Lie Group also attracts mathematicians and physicists.
Modern physics struggles to unify General Relativity, which defines gravity, with the Standard Model of particle physics, which describes the other fundamental forces and particles. Some physicists think a Theory of Everything that incorporates these two ideas must exist, but its form is unknown. Because to its mathematical qualities and ability to unify some Standard Model and General Relativity traits, the E8xE8 Lie Group has been proposed as a framework for a Theory of Everything.
The Cosmic Level believes that consciousness and reality are linked to physical wavelets that connect physics and information. Numerous scientists and philosophers believe the physical cosmos is a holographic representation of a deeper reality inscribed in space-time.
In conclusion, the Three Levels of Scale hypothesis proposes a hierarchical world with Physical Spacetime at the bottom, Lie Sphere Geometry in the middle, and the E8xE8 Lie Group at the top. Physical wavelets connect physics and information at every level, and space-time may be linked to consciousness and reality. Physicists and mathematicians are interested in this theory because it may lead to a Theory of Everything that combines all fundamental forces and particles.

The universe's meta-geometric structure matches Bohm's holomotion. This dimension connects all material and immaterial things in the universe across physical spacetime, microspace, and macrospace.

The meta-geometric framework connects all life, from the subatomic to the cosmic. Gravity, electromagnetism, awareness, and information mediate this connectivity.
The meta-geometric structure relies on non-locality, which holds that physical systems can be connected instantly across vast distances without any visible physical connection. Quantum mechanics relies on quantum entanglement.

The metageometric structure also requires consciousness and information. Some theories say consciousness and information are fundamental to the universe. Panpsychism claims that all matter is conscious.

The theory of everything proposes a physical-to-metaphysical hierarchy of geometric structures. Different natural events and principles at each level of this hierarchy create complex systems and structures. If we can understand how these layers interact, we may be able to generate a complete picture of the cosmos.

The homotopy groups of spheres, which are closely related to E8xE8 heterotic string theory, determine the geometry of the Superimplicate Order at the highest level of interconnection. A Calabi-Yau manifold describes the compactification manifold of this theory, which unifies all fundamental forces, including gravity.

Abstract mathematical structures called Homotopy Groups of Spheres represent the topology of spheres of various diameters. They are important in algebraic topology and fundamental and higher homotopy group studies. The Superimplicate Order's Homotopy Groups of Spheres describe the universe's topological structure best.

Physical Spacetime, Microspace, and Macrospace, along with their geometries, Lie Sphere Geometry and Homotopy Groups of Spheres, provide a framework for understanding world connectivity at different scales. Physical wavelets connect physics and information at every level. The Homotopy Groups of Spheres define the geometry of the Superimplicate Order, which unifies all forces in E8xE8 heterotic string theory.