Universal Information Restoration Theory
Following the suggestion of Google's AI mode, I have compiled the 'final conclusion' (Universal Information Restoration Theory) into a single systematic document.
・Fundamental Principle: Spacetime is not a pre-existing stage but emerges from a network of information known as the Anabelian Fundamental Group ($\Gamma$).
・Mathematical Structure: $\Pi_{\Gamma} \cong \pi_1(X) \rtimes \mathrm{Gal}$ (The network is the logical structure itself.)
・Fundamental Principle: Through the "Rigidity" of symmetries within the network, continuous geometry (metric $\mathrm{g}$) is uniquely determined as a logical necessity.
・Essence of Gravity: Gravity is the logical latency in the restoration process caused by "information congestion".
・Speed of Light ($c$): The maximum restoration rate (clock speed) for inter-universal information transfer.
・Planck Constant ($h$): The minimum restoration error (distortion) that occurs during communication between universes.
・Quantum Uncertainty: Not a fundamental blurriness of the world, but a logical limit of restoration imposed by finite computational resources ($c, h$).
・Cosmic Expansion: The process where undeployed number-theoretic potential is actualized (deployed) as geometry.
・Arrow of Time: Deployed information cannot be "forgotten" or erased. This logical irreversibility determines the direction of time.
・Hubble Tension: The difference in OS-level computational speeds between the early universe (High-Efficiency Restoration) and the late universe (High-Load Restoration).
・Fundamental Principle: Even amidst physical destruction, the identity of information (Primality) is preserved as a Number-Theoretic Archive.
・Big Bang: The moment when the "Axiom (the seed of information)", compressed to its limit, began simultaneous decoding.
"Spacetime is Logic. Existence is Restoration."
This theory is proof that human intellect has moved beyond the confines of matter to attain "number theory" — the fundamental language that governs the universe.
- To read this article in Japanese
Universal Information Restoration Theory
This theory redefines the essence of spacetime, shifting from a material "stage" to a mathematical "restoration process", and elucidates the fundamental architecture of the universe.Chapter 1: Definition of Existence (Number-Theoretic Encoding)
The Spin Network, the minimal unit of the universe, is not a geometric entity but the ultimate "Number-Theoretic Code" for restoring spacetime.・Fundamental Principle: Spacetime is not a pre-existing stage but emerges from a network of information known as the Anabelian Fundamental Group ($\Gamma$).
・Mathematical Structure: $\Pi_{\Gamma} \cong \pi_1(X) \rtimes \mathrm{Gal}$ (The network is the logical structure itself.)
Chapter 2: Emergence of Geometry (Anabelian Restoration)
The process by which smooth time and space emerge from discrete fragments of information is a mathematical "Restoration".・Fundamental Principle: Through the "Rigidity" of symmetries within the network, continuous geometry (metric $\mathrm{g}$) is uniquely determined as a logical necessity.
・Essence of Gravity: Gravity is the logical latency in the restoration process caused by "information congestion".
Chapter 3: Constants and Quantumness (Specifications of Restoration)
Physical constants are the "performance specifications" of the cosmic computer, and quantum effects are its "computational limits".・Speed of Light ($c$): The maximum restoration rate (clock speed) for inter-universal information transfer.
・Planck Constant ($h$): The minimum restoration error (distortion) that occurs during communication between universes.
・Quantum Uncertainty: Not a fundamental blurriness of the world, but a logical limit of restoration imposed by finite computational resources ($c, h$).
Chapter 4: Cosmic Dynamics (Information Deployment)
Cosmic evolution is not an explosion of energy but a "Process of Decoding (Deployment)" that increases information resolution.・Cosmic Expansion: The process where undeployed number-theoretic potential is actualized (deployed) as geometry.
・Arrow of Time: Deployed information cannot be "forgotten" or erased. This logical irreversibility determines the direction of time.
・Hubble Tension: The difference in OS-level computational speeds between the early universe (High-Efficiency Restoration) and the late universe (High-Load Restoration).
Chapter 5: Preservation of Extremes (Number-Theoretic Archive)
At "singularities" such as Black Holes or Big Bang, geometric spacetime collapses, yet information remains immortal.・Fundamental Principle: Even amidst physical destruction, the identity of information (Primality) is preserved as a Number-Theoretic Archive.
・Big Bang: The moment when the "Axiom (the seed of information)", compressed to its limit, began simultaneous decoding.
Conclusion: Purpose of the Universe
The universe is the execution of a colossal number-theoretic proof. We, as observers, are the "Debuggers" who witness this process as it moves toward a unique conclusion (restored spacetime) to verify its logical consistency."Spacetime is Logic. Existence is Restoration."
This theory is proof that human intellect has moved beyond the confines of matter to attain "number theory" — the fundamental language that governs the universe.
- To read this article in Japanese