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SPHERICAL TOPOLOGICAL GEOMETRICAL ALGEBRAS, THE THEORY OF SPHERISATION, QUANTUM SPHERES, COSMOLOGICAL SPHERES The Spheres like foundamental quantum objects are more logic than the strings, here is why,
- Philosophical Perspective: Ontological and Epistemological Arguments
Principle of Natural Simplicity (Ontological Argument)
The sphere is the most symmetric, simplest, and least arbitrary geometrical object in higher dimensions.
Unlike 1D strings, which require additional assumptions about tension, oscillatory modes, and compactification, a sphere is a self-contained structure needing fewer extra conditions.
Strings are a problem because require an external spacetime framework (they vibrate in space rather than defining space itself).
Background Dependence: Many formulations of string theory assume a pre-existing space, making it less fundamental in a quantum gravity context. Spheres could be inherently background-independent.
Holography and Encoding of Informations
The sphere naturally encodes quantum information via the holographic principle (think of black hole horizons).
1D strings do not exhibit holographic storage in the same intrinsic way - Physical Perspective: Quantum Gravity and Geometry
Strings are 1D and require extra degrees of freedom (oscillations, compactifications, and extra dimensions).
Spheres (such as Planck-scale 2D or 3D objects) are more localized, yet extended, meaning they naturally avoid the issue of defining "what is vibrating" in a pre-existing background.
Spheres and Black Hole Physics
The Bekenstein-Hawking entropy is proportional to the surface area (S = A/4ℓ_p²), suggesting that fundamental objects at the Planck scale should have an intrinsic surface structure, like spheres, rather than being linear objects like strings.. - Mathematical Perspective: Higher-Dimensional Consistency
Compactness and Self-Containment
The spheres are the simplest compact and manifold-closed object in geometry.
Unlike strings, which require extra dimensions to be compactified, a sphere is naturally compact and doesn’t demand arbitrary boundary conditions.
In Group Theory and Symmetry Arguments,Spheres are maximally symmetric spaces in geometry.
Higher-Order Topological Structures
In M-theory, membranes (2D objects) and even higher-dimensional "branes" play a role more fundamental than 1D strings.
Higher-dimensional spheres (S², S³, S⁴) provide a natural framework for defining compact higher-order topologies, whereas strings must rely on ad-hoc Calabi-Yau compactifications.
Conclusion: Why Spheres > Strings at the Planck Scale?
Philosophicallyand physically : Spheres are more self-contained, symmetric, and information-theoretic than strings, avoiding background dependence.
Mathematically: Spheres fit naturally within higher-dimensional symmetries, compactness, and group theory, making them a more fundamental starting point than 1D strings.
The theory of spherization provides a new philosophical and cosmological perspective. It challenges traditional views by presenting a model where the universe and all its fundamental forces emerge from a superfluidity of 3D spheres rather than 1D strings oscillating and interacting
- Philosophical Framework: Spinoza’s God and Evolutionary Cosmology, This theory isinfluence by Spinoza’s concept of God as an eternal, infinite consciousness that continuously evolves the universe. In this context:
God as an active, omnipresent force: For Spinoza, God is not a distant creator but the immanent cause of everything, existing in and through all of nature. By applying this idea to the quantum and cosmological scales, we can view the spherization process as an ongoing, evolutionary unfolding rather than a fixed, mechanistic process.
Consciousness and the Universe: The superfluidity of 3D spheres could represent an intelligent, evolving system, where the universe is not a random set of particles interacting by chance but is instead part of a conscious cosmic evolution. The spheres, as fundamental quantum objects, could represent the expressions of this divine consciousness, evolving in harmony with the structure of spacetime itself.
Thus, spherization is a dynamic, evolutionary optimization of the universe's underlying structure, guided by a higher principle of order and consciousness, akin to Spinoza's pantheistic God.
- Physical Interpretation: A Superfluid Universe
In this model, the universe is composed of 3D spheres that act as the building blocks of all matter and energy. These spheres, instead of being constrained to a 1D string form, are inherently extended objects with volumetric presence. This implies that space itself is made up of spherical objects interacting and merging with each other in a fluid-like, coherent manner.
2.1. Spheres as Fundamental Quantum Objects
Quantum Superfluidity: The idea of the universe as a superfluid made of 3D spheres aligns with the concept of quantum coherence. Just as superfluids exhibit long-range quantum correlations, the spherization process would describe a fluid-like state of space, with each sphere interacting with others through quantum fields.
These interactions govern the evolution of spacetime and create all matter, energy, and forces in a highly efficient, harmonious way.
Dark Energy and Dark Matter: The merging of spheres with dark energy offers a compelling explanation for the mysteries of dark matter and dark energy. In this model, dark energy could be seen as the force that permeates all space and is antigravitational and informational and is a fifth force and as spheres merge with it, they encode dark matter mass, and newtonian gravity) and photons (light, energy). These merging spheres could explain the gravitational effects observed in dark matter, while also providing a mechanism for the expansion of the universe as seen in dark energy.
No Need for Strings: Unlike the string-based models (like in string theory or M-theory),this model doesn’t require a 1D string oscillating in higher dimensions to generate the interactions between particles or the forces of nature. Instead, it proposes that everything emerges from 3D spheres, which can naturally interact, merge, and evolve without the need for extra dimensions or complex oscillations.
2.2. Interaction with Quantum Fields
Matter and Energy as Quantum Spheres: In traditional quantum field theory (QFT), particles are excitations of quantum fields (e.g., the Higgs field, electromagnetic field). This model would suggest that these fields, instead of being manifested as strings or points, are composed of spheres that spread across space and interact with each other. The quantum field of a photon, for example, would be a collection of spherical objects that exchange energy and momentum in a fluid-like manner.
Force Mediators as Spheres: Fundamental forces in the standard model (gravity, electromagnetism, weak and strong forces) could be mediated by spherical distortions in this superfluid space. For instance:
Electromagnetic force: Spheres could interact and exchange quantum information in such a way that they create the field-like behavior of photons.
Gravity: The interaction between spheres could generate gravitational effects through curvature or deformation in the fluid of 3D spheres, which would correspond to the way spacetime itself is curved by mass and energy in Einstein’s theory.
2.3. Emergence of the Standard Model
Unified Description of Particles: The standard model of particle physics could be viewed as a subset of the spherization process where the merging of spherical structures gives rise to the elementary particles we observe. The quantum mass of particles could emerge as a collective property of these spheres, and the properties of spin, charge, and mass would correspond to different quantum states of these spheres interacting with the quantum fields.
Optimization of the Universe: The concept of the universe evolving as a superfluid of 3D spheres optimizing the distribution of energy and matter aligns with the idea that cosmic evolution follows a path of greater coherence and efficiency. The cosmological constant (dark energy) could then be interpreted as the dynamic balance that ensures the universe is expanding in a way that allows the continuous evolution of these quantum spheres.
- Mathematical Interpretation: A Unified Model with the spherical topological geometrival algebras and the assoiativity, commutativity, non commutativity for the dimensions, groups and subgroups.This theory could be mathematically consistent if we adopt a framework where geometry and field theory are described in terms of spheres rather than 1D objects.
3.1. Generalized Quantum Field Theory
Spherical Fields: Instead of quantizing fields in 1D string-like objects, we could define quantum fields based on 3D spherical harmonics and tensor fields that describe the interaction between spheres. These tensor fields would encapsulate the interactions between the quantum spheres and define the force laws (such as electromagnetism and gravity).
3.2. Curved Spacetime and Superfluidity
Geometric Considerations: The curvature of spacetime in general relativity could be interpreted as the fluid-like behavior of spheres, where the curvature of spacetime itself is a distortion of the superfluid medium of quantum spheres. This could lead to a new way of interpreting gravitational fields, where gravity is not mediated by an external field but arises from the inherent geometry of the spheres in the quantum fluid.
3.3. Spherical Symmetry in Quantum Cosmology
Cosmological Evolution: From a cosmological perspective, This model might use topological invariants (e.g., Euler characteristics) and spherical symmetries to describe the evolution of the universe. The Big Bang could represent the emergence of spherical fluctuations in the quantum fluid, and as these spheres expand and interact, they create the cosmic structures we observe today.
Why Spherization is More Logical and these quantum spheres
Philosophically: The idea of an evolving, conscious universe guided by an eternal superfluid of spheres aligns with a holistic view of reality. Unlike string theory, which is often criticized for being overly abstract and dependent on higher dimensions, this model is grounded in the idea of a conscious, self-evolving process, which is more relatable and intuitively comprehensible.
Physically: The concept of spheres naturally allows for spatial, temporal, and energetic coherence, offering a more unified picture of the universe where everything (dark energy, dark matter, photons, gravity) emerges from a single, continuous structure. It avoids the need for complex extra dimensions and offers a more direct path to explain both quantum fields and cosmological observations.
Mathematically: By focusing on 3D spherical objects, this model can leverage well-established mathematical tools from geometry, topology, and field theory that are already used in general relativity and quantum field theory, offering a more compact and elegant framework for understanding the fundamental forces and particles of the universe.
In summary, spherization offers a compelling alternative to the string-based models of quantum gravity and cosmology. By replacing 1D strings with 3D spheres in a superfluid-like quantum medium, this theory presents a more unified, intuitive, and elegant picture of the universe’s evolution, while remaining grounded in philosophical, physical, and mathematical coherence. The idea that the universe is optimized through spherical structures, interacting with dark energy to form dark matter, photons, and gravitational fields, provides a more holistic approach to explaining the nature of reality.