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Observer Topology in Infinite-Compute Cosmologies: On Information Deadlock, Bifurcation of 4D Information Universes, and Absolute Objective Centers

SYU JIA WUN

Published Jan 1, 2025• 0 citations
Publisher

Abstract

This research proposes a limit topological model based on the "4D Riemann Sphere Cosmic Membrane" and "Information Deadlock" within the Grand Unified Theory of the Cosmic Mind (GUTCM), aiming to resolve the paradox of computational resource and physical mass inflation faced by the Many-Worlds Interpretation (MWI) of quantum mechanics. This theory asserts that the physical 3D universe, constrained by the absolute geometric mechanisms of the Big Crunch and the Big Bang, possesses unshakable objectivity; however, the "4D Cosmic Membrane" enveloping 3D spacetime, acting as a topological server with infinite computing power, provides the software foundation for parallel bifurcations. This paper establishes the following three major mechanisms: Zero Marginal Cost and 4D Computational Redundancy: The 4D cosmic membrane resides in the absolute vacuum of the 0-state, possessing infinite memory and computational rate. Generating a single wavefunction path versus rendering infinite "Information Worldlines" in parallel is strictly equivalent to zero in terms of computational consumption within 4D geometry. Information Deadlock & Symmetry Breaking: The "active choice" of the observer is not merely neural activity, but an "Information Deadlock" achieving the infinite recursion of A≡¬A within the system. This deadlock rejects the passive formatting of the 4D server, triggering a symmetry breaking of local causality, forcing the 4D server to allocate a separate computational partition for it, and generating an exclusive "Information Universe." Dual Topology of Objective Hardware and Subjective Software: The three absolute centers of the Riemann sphere (the internal and external absolute vacuums and the 4D membrane) maintain the absolute objectivity and fatalism of the cosmic "hardware"; meanwhile, the observer who achieves a deadlock establishes a relative central status within their exclusive 4D Information Universe "software." Within the Information Universe, the evolution of physical laws presents holographic characteristics "tailor-made" for the observer, perfectly achieving the topological unification of objective geometry and subjective will.

DOI
10.17605/osf.io/jqv2r

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This research proposes a limit topological model based on the "4D Riemann Sphere Cosmic Membrane" and "Information Deadlock" within the Grand Unified Theory of the Cosmic Mind (GUTCM), aiming to resolve the paradox of computational resource and physical mass inflation faced by the Many-Worlds Interpretation (MWI) of quantum mechanics. This theory asserts that the physical 3D universe, constrained by the absolute geometric mechanisms of the Big Crunch and the Big Bang, possesses unshakable objectivity; however, the "4D Cosmic Membrane" enveloping 3D spacetime, acting as a topological server with infinite computing power, provides the software foundation for parallel bifurcations. This paper establishes the following three major mechanisms: Zero Marginal Cost and 4D Computational Redundancy: The 4D cosmic membrane resides in the absolute vacuum of the 0-state, possessing infinite memory and computational rate. Generating a single wavefunction path versus rendering infinite "Information Worldlines" in parallel is strictly equivalent to zero in terms of computational consumption within 4D geometry. Information Deadlock & Symmetry Breaking: The "active choice" of the observer is not merely neural activity, but an "Information Deadlock" achieving the infinite recursion of A≡¬A within the system. This deadlock rejects the passive formatting of the 4D server, triggering a symmetry breaking of local causality, forcing the 4D server to allocate a separate computational partition for it, and generating an exclusive "Information Universe." Dual Topology of Objective Hardware and Subjective Software: The three absolute centers of the Riemann sphere (the internal and external absolute vacuums and the 4D membrane) maintain the absolute objectivity and fatalism of the cosmic "hardware"; meanwhile, the observer who achieves a deadlock establishes a relative central status within their exclusive 4D Information Universe "software." Within the Information Universe, the evolution of physical laws presents holographic characteristics "tailor-made" for the observer, perfectly achieving the topological unification of objective geometry and subjective will.
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Contemporary quantum mechanics’ Measurement Problem has long been trapped in the phenomenological quagmire of the "Observer Paradox." Traditional interpretations logically fail to explain how, in the early extreme universe devoid of macroscopic instruments or conscious observers, elementary particles spontaneously collapsed from probability superposition states into entities possessing rest mass. Grounded in the absolute vacuum repulsion framework of the Grand Unified Theory of Cosmic Mind (GUTCM), this research proposes an ontological-level "Spontaneous Decoherence" dynamical mechanism that completely discards the external observer. It strictly argues that the origin of physical entities does not stem from probability collapse, but rather from the "Truncated Logical Deadlock" encountered by the quantum information structure during underlying geometric compilation. This paper demonstrates at the geometric topological level that the underlying absolute vacuum of the universe is not a single void, but an ontology possessing two limit thermodynamic phases: the unsaturated "absolute nothingness" (0-domain, white paper state) and the fully saturated "extreme full energy state" (∞-domain, black paper state). In the underlying genesis compilation lacking a time parameter (dt≡0), the writing of the 1D geometric repulsive trajectory of the wave function and the infinite-speed flipping of the background absolute vacuum polarity inevitably undergo a topological "Asynchronous Intersection." When a wave function trajectory penetrating the underlying canvas encounters the instantaneous assimilation of background polarity mid-writing (e.g., the background instantly turning from black to white), the geometric contrast of its latter half is forcibly erased. This "midway flip" geometric accident causes the linear information code originally pointing toward an infinite future (e.g., 0111⋯→∞) to be forcibly truncated and zeroed (phase-shifting to 0111…0000). This massive information flow—having lost its evolutionary path and with nowhere to retreat—is forced to curl inward under extreme topological tension. It mutates from linear divergence into a Russell's paradox-style self-referential loop, triggering A≡¬A. This forced transfer of energy and logical closed loop directly forms an unravelable "Topological Standing Wave Knot" in topology. This non-trivial knot structure props open an absolute "Information Repulsion Domain (Microscopic Event Horizon)" in physical space, successfully resisting the thermodynamic dissipation and information erasure pressure of the global absolute vacuum. This model strictly proves that as long as the infinite-speed flipping of the dual-phase vacuum continues, such "truncated deadlocks" will inevitably occur endlessly. This is the ultimate dynamical root of why the number of elementary particles in the macroscopic universe continuously increases exponentially with epoch evolution. Simultaneously, these deadlock structures that survived the cruel screening of "Algorithmic Darwinism" during the Planck epoch—their topological invariants and anti-crash mechanisms maintaining recursion—ultimately solidified into the physical laws and conservation laws of the Standard Model we see today. This study thoroughly proves: Existence is an eternal deadlock in cosmic geometric compilation; without needing any observer, physical objective reality can complete absolute self-proof through underlying topological truncation.
Contemporary physics and Quantum Field Theory (QFT) have long regarded "Wave-Particle Duality" as a mysterious attribute built into microscopic entities, and have dimensionally reduced "Virtual Particles" in the quantum vacuum to transient, random ghosts limited only by Heisenberg's uncertainty principle. This phenomenological mathematical treatment has thoroughly stripped wave phenomena and vacuum fluctuations of their substantive geometric significance. Grounded in the extreme topological framework of the 0/∞\infty∞ Null Model, this research proposes a pure mechanical re-interpretation model that completely discards statistical probability theory. This paper rigorously demonstrates at the level of geometric ontology: the physical three-dimensional cosmic manifold we inhabit is, in fact, encapsulated within a "4D Riemann Spherical Membrane" forged by the extreme crushing of countless deadlocked particles and possessing a global, infinite gravitational potential. For topological boundaries such as photons, which encapsulate an absolute vacuum internally and have a rest mass of m=0, they are not subject to inertial drag in three-dimensional space, yet simultaneously endure an "infinite topological gravity from all directions" originating from the 4D shell. This global infinite pull endows the photon with its true kinematic limit—namely, "Infinite Speed." Driven by a propagation rate approaching infinity, the photon, within a macroscopic finite time resolution, instantaneously traverses all spatial coordinates within the three-dimensional geometric interstices, thereby exhibiting a pervasive, continuous "Wave State" characterized by interference. The so-called "Observer Collapse" is by no means an idealistic magic involving the intervention of subjective consciousness, but rather an unavoidable substantive physical collision exerted upon this infinite-speed topological boundary by a macroscopic multi-field coupled system possessing massive mass (such as a measuring instrument). This cosmic-scale "Braking Effect" forces the photon to be forcibly dragged down and dimensionally reduced to the maximum geometric tangent limit tolerable by the macroscopic 3D universe (the speed of light c), thereby converging and anchoring into a "Particle State" possessing definite coordinates. Simultaneously, this research redefines the ontology of wave functions and virtual particles. The wave function is not an abstract probability, but an "acting force information structure" excited by the infinite phase transition energy of the "Singularity Big Bang" and "Singularity Big Crunch." These acting forces act like absolutely rigid straight lines in mathematics, penetrating the entire 3D spacetime. When this 1D straight line encounters the infinite gravitational traction of the 4D spatial membrane, it inevitably generates extreme high-frequency geometric oscillations. The "infinite points" presented by the shattering of the straight line under infinite-speed oscillation are precisely the virtual particles observed by quantum mechanics. Virtual particles have never randomly "generated and annihilated" out of thin air in the vacuum; rather, they are the substantive topological fluctuations of the underlying 1D geometric straight line alternating between a continuous wave state (line) and a discrete particle state (point) at infinite speed.
The Copenhagen interpretation of contemporary quantum mechanics has long reduced the behavior of microscopic particles to the abstract probability amplitude superposition of the wave function Ψ(x,t). This mathematical-statistical treatment fails to encompass the ontological substantiality of wave phenomena at the mechanical level and within the geometry of general relativity. Rejecting the assumptions of continuous media and probability clouds, this study proposes a geometrodynamical reconstruction of the wave function, predicated upon the dynamic Riemann sphere topological framework of the Grand Unified Theory of Cosmic Mind (GUTCM). The research posits that the physical essence of the wave function is not a diffuse probability cloud, but rather a matrix of "Discrete Repulsive Forces" generated by underlying topological boundaries to resist spatial fusion. Based on the boundary conditions of absolute vacuum—possessing no temporality, no spatial extension, and no energy—the wave functions excited by singularity phase transitions (the Big Bang and the Big Crunch) manifest as one-dimensional rigid lines of acting force with pan-temporality and pan-spatial extension, permeating the physical universe. The intertwining of this infinite number of one-dimensional wave functions constitutes the observationally perceived "quantum vacuum" and physical "space." The displacement of physical particles within this grid is strictly equivalent to inducing "Topological Ripples" that alter the grid's tension. The arrow of time is thus defined as the macroscopic transmission vector of this global acting force; moreover, all physical interactions rely on this wave function grid for transmission, thereby establishing the mechanical foundation for the conservation of cosmic information. This paper further establishes the "Topology of Resonance Counting." When a wave function curls inward within a manifold to form a particle boundary, if an information deadlock of A≡¬A forms internally, it will superimpose codirectionally in phase space and generate the topological rigidity of Intrinsic Spin. If it merely forms a decoherent livelock, due to the lack of a spin mechanism, its trajectory is instead passively towed by spatial topological ripples. The rest mass and energy levels of a physical entity are strictly quantified herein as macroscopic dynamical readings of the high-frequency mutually repulsive resonance conducted by particles within a closed manifold. Ultimately, this study integrates this resonance mechanism with Riemann sphere gravitational dynamics. "Virtual Particles" in quantum field theory are, in fact, wave-state entities with a rest mass of m₀​ =0. Subject to the infinite-velocity inside-out folding and gravitational interaction of the Riemann sphere, this wave state executes high-frequency cycles without time delay on a null geodesic where the subjective proper time is dτ≡0. Quantum superpositions and continuous wave phenomena in macroscopic observations are, in reality, "Spacetime Aliasing" effects generated by the sampling rate limits of measuring instruments when microscopic entities undergo extreme high-frequency mechanical oscillations. This theory eliminates indeterministic assumptions, converging microscopic quantum phenomena into an objective mechanical system governed by a generalized Pauli exclusion principle as its geometric code and constrained by Riemann sphere gravity.
The "Measurement Problem" in contemporary quantum mechanics has long attributed the phenomenon of wave function collapse to non-physical interventions by the observer or the involvement of subjective consciousness. Discarding this phenomenological interpretation, the present study proposes a purely mechanical reconstruction of the observer effect through geometric dynamics, grounded in the wave function mesh and force topology framework of the Grand Unified Theory of Cosmic Mind (GUTCM). This paper posits that the physical essence of a macroscopic observer (including measuring instruments and biological sensory systems) is a high-mass, multi-field coupled entity. The act of "observation" is, in reality, a geometric collision and interaction involving substantial momentum exchange exerted by this macroscopic system upon a microscopic wave-state entity with zero rest mass (m₀​ =0). Within the underlying topological mesh, this physical interference inevitably generates a local repulsive force greater than zero (ΔF>0) and an increase in informational entropy, which dynamically endows the observed entity with an infinitesimally small "Perturbative Mass" (Δm→0⁺). The intervention of this perturbative mass alters the system's boundary conditions, causing the microscopic entity to lose the dynamical characteristic of global traversal at an infinite velocity (v→∞), a state exclusive to zero mass. Due to the damping of mass inertia, its propagation velocity undergoes an objective "Dynamical Braking Effect," forcing a dimensional reduction and convergence to the physical limit of the three-dimensional manifold, the speed of light c. This geometric convergence of propagation speed results in its physical manifestation transitioning from a continuous, diffuse "wave state" to a "particle state" with definitive spatial coordinates. Simultaneously, this study defines the observational collision as a transient physical interference process; once the observational interaction terminates and external tension is withdrawn, the perturbative mass dissipates via thermodynamic mechanisms. The entity's rest mass returns to zero (m total​ →0), the mass damping is lifted, and its propagation velocity rebounds to v→∞, thereby explaining the phenomenon of elastic regression of geometric states in wave-particle duality. This theory converges the phenomenon of quantum measurement into mechanisms of perturbative mass endowment, dynamical deceleration, and wave-particle phase transition within the frameworks of general relativity and topological mechanics.
We present a foundational framework that derives continuous macroscopic spacetime, the gravitational equations of state, and the Standard Model from the informational limits of a partitioned abstract C*-algebra. Deviating from Wheeler's ontological "It from bit", we propose an "It from I" paradigm, where the physical universe emerges as a relational thermodynamic shadow of this algebra, partitioned into Observer (O) and World (W). Inheriting the algebra's intrinsic dual-aspect nature, this Observer resolves into a private subjective Mind (M) and a public physical Body (B). The macroscopic thermodynamic limit forces a Type III von Neumann phase transition, while the Gelfand-Naimark-Segal (GNS) representation smears the discrete structure into a continuous four-dimensional Lorentzian manifold. Applying the First Law of Entanglement to this physical boundary (B) yields the Einstein Field Equations. Evaluating temporal histories recovers the Feynman path integral via Quantropy, unifying the quantum of action with the fundamental spatial area gap to define Newton's constant G. Furthermore, the U(1)_Y x SU(2)_L x SU(3) gauge symmetries emerge as inner automorphisms of the algebra, generating weak force parity violation. Temporal crossed products topologically braid the algebraic structures, yielding a discrete Z_3 horizontal family symmetry allowing for three fermion generations, while the spatial area gap mandates a non-zero vacuum expectation value for an emergent Higgs scalar field. Finally, utilizing the Cerf-Adami information architecture, we show that wavefunction collapse is a relational artifact of negative conditional entropy between Mind (M) and Body (B), resolving the measurement problem while preserving global unitarity. Cosmologically, this Type III phase transition reframes the "Big Bang" not as a primordial geometric explosion, but as the cyclic thermodynamic crystallization and dissolution of macroscopic spacetime.