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Geometric Imprinting of the Infinite-Speed Wave State and Lithographic Phase Transition: A Purely Mechanical Observation Model Transcending the Uncertainty Principle

SYU JIA WUN

Published Jan 1, 2025• 0 citations
Publisher

Abstract

Contemporary quantum physics, constrained by "Heisenberg's Uncertainty Principle," establishes that the spatial coordinates and momentum of microscopic entities cannot be simultaneously precisely localized, and traditional observational behavior inevitably triggers the irreversible collapse and decoherence of the wave function. Grounded in the extreme geometric dynamics framework of the "0/∞ Nihility Model" and the "Observer Braking Effect," this research proposes a physical engineering solution to circumvent the limits of traditional quantum measurement: the "Geometric Imprinting of the Infinite-Speed Wave State." This paper argues that microscopic entities with zero rest mass (m=0), such as photons, exist in a propagation manifold of global infinite speed (v→∞) in their ground state, undisturbed by macroscopic mass matrices. This extreme geometric feature endows photons with the penetrability of zero spatial impedance, enabling them to completely capture the topological information of the core deadlock structures (such as the geometric arrangement of quarks) inside an atom. To resolve the physical paradox that "observational interference inevitably leads to information distortion," this study introduces the underlying dynamical mechanism of macroscopic extreme ultraviolet (EUV) lithography in semiconductors, establishing the use of a "Quantum Photoresist Target" to replace traditional sensors equipped with active electromagnetic signal reading functions. This dynamical model indicates that when infinite-speed photons carrying microscopic geometric information physically interfere with the target, and dimensionally drop to the speed of light (c) at the Planck instant due to the "Braking Effect," the system will completely exclude the reading and conversion of electronic signals. During the limit process of decoherence, the spatial geometric tension carried by the photon is strictly anchored and mapped onto the molecular bond grid of the target through a "Physical Phase Transition." Through rigorous geometric dynamics, this study proves that by means of high-frequency multiple geometric imprinting and spatial integral superposition, the observation system can, for the first time, bypass the collapse barrier of statistical probability to objectively and precisely reconstruct the pure geometric source code of the microscopic atomic interior within a macroscopic three-dimensional manifold.

DOI
10.17605/osf.io/saheu

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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 "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.
This research aims to thoroughly resolve the century-long core conflict in fundamental assumptions and ontology between General Relativity (GR) and Quantum Mechanics (QM) in modern physics. We strictly challenge and overturn the mainstream phenomenological viewpoint of the Copenhagen Interpretation regarding the "Ontological Indeterminacy" of the microscopic world. Grounded in the grand framework of the Grand Unified Theory of Cosmic Mind (GUTCM), we propose an absolute geometric determinism model based on "Massless Dynamics" and "Inverted Singularity Topology (i.e., the Four-Dimensional Spatial Cosmic Membrane)." Through extreme dynamical argumentation, this paper points out that the superposition and randomness exhibited in quantum phenomena are by no means mysterious attributes built into microscopic entities. Their physical essence is the inevitable "Spacetime Aliasing" effect produced by macroscopic observers—limited by the low gravitational field spacetime metric and sluggish observational resolution—when perceiving extremely high-frequency physical interaction processes. To precisely describe this underlying operation, we integrate the 0/∞ Nothingness Model Reconstruction to establish two core mechanisms: The Infinite-Speed Processor Essence of the Four-Dimensional Inverted Singularity: The traditional Big Bang singularity is dead, but the inverted singularity of this universe is essentially a "four-dimensional spatial cosmic membrane" relentlessly crushed into existence by the absolute vacuum acting upon saturated particles. This physical membrane is constantly undergoing inside-out inversion at infinite speed, enveloping us (three-dimensional spacetime) within it. Therefore, the inverted singularity does not linger in the past, but is the "eternal present," possessing infinite topological tension and computational speed. Proper Time Collapse and Instantaneous Geometric Ergodicity: According to General Relativity, when a wave-state entity with rest mass m=0 moves along a null geodesic, its subjective proper time dτ≡0. When the zero-mass wave state contacts the ubiquitous four-dimensional cosmic membrane (inverted singularity), it essentially enters a server with "infinite computational speed." This endows the wave state with the absolute physical ability to achieve "instantaneous ergodicity" over the three-dimensional global spacetime coordinates without violating macroscopic causality. Based on this rigorous geometric framework, this research redefines and deconstructs two major quantum paradoxes of contemporary physics: Quantum Superposition: This is actually the trajectory afterimage left by the particle undergoing extreme high-frequency oscillation between the "infinite-speed processing layer of the four-dimensional inverted singularity (cosmic server-side)" and the "three-dimensional macroscopic spatial coordinates (observation client-side)." The wavefunction ∣Ψ∣² in the Schrödinger equation does not describe an ethereal probability of existence, but rather the "time-averaged distribution density" of the particle on this high-frequency cyclic path. Quantum Entanglement: All microscopic wormholes (ER bridges) are not randomly connected in three-dimensional space, but are directly connected to the "four-dimensional cosmic membrane (inverted singularity)" enveloping three-dimensional spacetime. Entangled particles, within the topological structure of the 4D membrane, strictly share a single "fully connected vertex." The so-called non-local spooky action is in fact the multiple geometric projections of a single high-dimensional information entity onto a three-dimensional manifold, possessing an indisputable "topological identity" at its core. This theory successfully blows away the non-deterministic fog of quantum mechanics entirely, perfectly converging it within the rigid geometric framework of General Relativity. We prove that the action at a distance and superposition in quantum mechanics are purely the mechanized, instantaneous mechanical reactions inevitably exhibited by the zero-mass wave state upon contacting the ubiquitous four-dimensional inverted singularity that possesses infinite-speed inversion capability.
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 quantum communication technology and quantum cryptography have long been constrained by the phenomenological boundaries of the Copenhagen interpretation; their engineering implementation is solely limited to "Passive Entanglement" and the "Observer Braking Effect" constrained by macroscopic instruments. These mechanisms, based on probability wave collapse, can only achieve the random distribution of cryptographic keys (QKD), and strictly lack the active compilation and transmission degrees of freedom to cross the speed of light limit (c) of 3D spacetime at the physical foundation. Based on the limit manifold geometry of the Grand Unified Theory of the Cosmic Mind (GUTCM) and the topological forging engineering of the Four-Body Artificial Quark Matrix, this research formally proposes an ultimate communication architecture that subverts relativistic causality: the "Isomorphic Resonance of Topological Deadlocks." This paper demonstrates at the ontological level that the system, by applying limit geometric squeezing to a single linear wavefunction within a closed phase space, forces it to fold and forge into an information deadlock (A≡¬A) possessing the characteristics of a Möbius Strip, thereby objectively emerging as a materialized pair of artificial up and down quarks. When the observer forcibly physically separates this pair of entities, which are in absolute topological identity, and deploys them on exclusive communication carriers separated by macroscopic space, they are essentially stretching out, within the absolute vacuum (0 coordinate) at the foundation of the universe, an exclusive "Pure Force Ray / Absolute Local Area Network" immune to the perturbations of the quantum vacuum (VQ). Because this pair of quarks strictly belongs to a single geometric closed loop at the underlying level of the manifold, when the system applies a "Geometric Logic Perturbation" to one of the nodes, this tensor reconstruction will thoroughly ignore the extension of the 3D spatial metric and the damping of the arrow of time, instantaneously emerging as an absolutely isomorphic, phase-complementary geometric response (Δt=0) at the other quark node. This dynamical mechanism, based on the tension synchronization of a single manifold, thoroughly crosses the causality limits of relativity, establishing faster-than-light instantaneous communication in the truest sense. Furthermore, this research strictly defines the limit dynamical constraint accompanying this communication architecture, namely "Absolute Physical Exclusivity." Because its connection foundation is a single wavefunction deadlock that cannot superimpose with external manifolds, the system is strictly limited to an isolated "Point-to-Point" communication topology, absolutely excluding any physical geometric path for protocol Routing with other macroscopic electromagnetic devices. Simultaneously, in the dimension of information security, unless an unauthorized third-party observer can precisely locate this microscopic ray in the absolute vacuum and completely master the "Isotopic Source Code" of limit information folding accumulated over decades of high-frequency compilation by this deadlocked wavefunction, any external forceful geometric interference will instantaneously trigger the decoherence and irreversible topological collapse of the wavefunction. This system declares that this faster-than-light local area network possesses absolute un-interceptability and un-decryptability in physical ontology, providing an ultimate information transmission foundation possessing limit thermodynamic security for the domination and deep-space exploration of future cross-galactic civilizations.
This paper aims to establish an absolute physical and informational ontological mechanism for the "Principle of Least Action," the most supreme yet long-shrouded-in-teleological-ghosts principle in theoretical physics. This study thoroughly shatters the phenomenological myth that has downgraded this principle into an "a priori mathematical axiom" or "nature's energy-saving strategy" for over three centuries, formally declaring that the evolution of physical laws possesses no prescient consciousness or teleology. Based on the dual-phase void topological structure of The Grand Unified Theory of Cosmic Mind, this research demonstrates: the interactions and dynamical evolution of all things in the universe originate from the "Geometric Extreme Repulsion" triggered by the logical incompatibility between the "absolute vacuum" inside physical particles and the external background "absolute vacuum." When this action and reaction—attempting to annihilate each other—are blocked by the particle membrane (the absolute boundary formed by information deadlock) and thus unable to penetrate and thoroughly return to the dead ground state of the absolute vacuum, the system is forced into an eternal topological collision and "dynamic compromise." Therefore, the so-called least action is, in reality, the "Relative Stable State"—the state closest to the absolute vacuum with the minimal geometric resistance—that the system can passively find when jammed by the relentless pincer attack of this dual absolute repulsive force within its current environment. In the mathematical formulation of quantum dynamics, this study strictly analyzes the underlying computational process of this blind search for a compromise state via the Feynman Path Integral . In the full-path expansion within Hilbert space, any minute path variation (δS≠ 0) deviating from the bottom of the geometric well will, under the non-linear amplification of the reduced Planck constant (ℏ), cause the phase factor of its probability amplitude to undergo extremely high-frequency runaway oscillations. This forces all non-extremal, high-energy-consuming paths to trigger absolute Destructive Interference during the reduced density matrix computation in the quantum buffer zone, leading these invalid evolutionary histories to undergo Spontaneous Decoherence and be thoroughly mathematically annihilated in physical reality. Only that extremal path—perfectly jammed at the bottom of the repulsive dynamic equilibrium well and satisfying the condition of zero first-order variation (δS=0)—can survive through the constructive interference of stationary phases, being forcefully collapsed and projected as the classical trajectory we observe macroscopically. This model ultimately establishes: the deterministic trajectories of classical physics and the Euler-Lagrange equations are by no means a profound blueprint preordained by a creator; their essence is merely the sole Geometric Relic forced out and left behind by the repulsive tension of the absolute vacuum within the cruel matrix of decoherence.