Dual channel Annihilation Field Model: Bottom Mechanism, Mathematical Proof, and Relativity Equivalence d2

Dual channel Annihilation Field Model: Bottom Mechanism, Mathematical Proof, and Relativity Equivalence d2 catalogue Part One: Microscopic Physical Mechanisms and Detection Limits Proof 1: The physical essence of the uncertainty principle and the mechanical mechanism of the loss of detection basis Proof 2: Rigorous derivation from reaction-diffusion equation to potential energy equation Proof 3: The Necessity of Destruction of Positive and Negative Matter and the Independent Balance of Positive and Negative Quantum Wells Proof 4: Particle measurability analysis based on the essence of detection instruments (why neutrinos and gravitons are difficult to measure) Part 2: The Essence of Gravity and the Microscopic Source of Light Speed Proving 4-A: The Fundamental Mechanical Mechanism for the Long term Stable Existence of Protons and Electrons Proof 4-B: The Physical Essence of Neutrinos and Gravitationons that are Extremely Difficult to Detect Proof 5: Geometric Source of Macroscopic Gravitational Potential E=- GM/r Proof 6: Medium mechanics proof that the speed of light and gravitational waves is equal to c Part Three: The Grid Mechanism of Ray Bending and Gravitational Lens Proof 7: Grid compaction and constant transition step size mechanism of photons Proof 8: Infinite integral and rigorous analytical solution of gravitational deflection angle Proof 9: The Fundamental Difference in Physical Mechanisms: Grid Refraction Angle vs Spatiotemporal Curvature Part Four: Medium Mechanics Reconstruction of Classical Effects in General Relativity Proof 10: Calculation of Grid Step Strain for LIGO Detection of Gravitational Waves Proof 11: Gravitational wave radiation and perihelion precession of binary stars orbiting each other Proof 12: Flat rotation curve of galaxy periphery and substitution of dark matter Proof 13: Strict grid integration of three classic effects (radar delay, GPS, black hole shadow) Part 5: Final Conclusion and Physical Paradigm Reconstruction Proof 14: Declaration on the substitutability between general relativity and quantum mechanics Proof 15: Comparison of Calculation Path and Results (Text Version) Part One: Microscopic Physical Mechanisms and Detection Limits Proof 1: Uncertainty principle and loss of detection basis in low-pressure vacuum environment In the "Dual Channel Model" of this article, it is necessary to strictly distinguish the physical mechanisms under "low-pressure pure vacuum environment" and "black hole singularity high-pressure environment". The uncertainty principle discussed in this section (Δ x ·Δ p ≥ ℏ/2) specifically refers to the detection failure mechanism in low-pressure or pure vacuum environments. This is completely different from the "cubic high-pressure backpressure" generated by the extreme compression inside the black hole (the uncertainty mechanism under high pressure will be discussed later). 1. Absolute Dominator in Low Pressure Vacuum Environment: Negative Quantum Well In low-pressure or pure vacuum environments, the bottom space is mainly composed of dispersed negative quantum well grids. At this moment, there is no immense gravity to compress space. When the detector attempts to push the spatial resolution to its limit (i.e. Δ x approaches 0), at this extremely small scale, the surrounding environment is completely dominated by the repulsive tension of the negative quantum well and background fluctuations. 2. Detection of extremely weak signals and significant differences in scale In this extremely small space (Δ x → 0), the particles (positive quantum wells) injected by the detector are strictly limited by their spatial size, and the energy and volume they carry become extremely weak. It is completely different from the tension of the surrounding large and active negative quantum wells on the same scale (weak positive energy lateral pressure<<huge negative energy repulsion). This leads to the detection signal falling far beyond the measurable threshold of the instrument and being completely submerged in negative energy background noise. 3. Lack of analogy between "duck nest" and neutrino structure Because the surrounding area is completely dominated by negative quantum wells, there is no strong positive potential well that can firmly trap the detection particles (lacking a stable 'duck nest'). The momentum uncertainty (Δ p) of the particles detected in this smooth and repulsive negative energy environment is thoroughly amplified. This structure, where extremely weak positive signals are completely engulfed in a negative dominated environment, is extremely similar to neutrinos. The reason why neutrinos are difficult to detect is also because their internal positive and negative quantum wells are highly symmetrical, and they cannot provide sufficient net lateral pressure in a low-pressure vacuum background. Both are essentially 'insufficient positive energy lateral pressure to break through the submergence of negative energy background'. Conclusion: The principle of uncertainty in low-pressure vacuum environment is essentially that when space is compressed to extremely small scales, the environment is completely dominated by negative quantum wells, and the size of the detected particles is limited, resulting in extremely weak positive energy lateral pressure, far less than the tension of the negative energy background. The signal is completely submerged and cannot be measured. The future high-energy detection must completely abandon the idea of "physical impact" and turn to a new way of detecting "negative energy tension fields". Explicitly defining the conditions at the beginning: directly separate the "low-pressure vacuum" and "black hole high-pressure", and clearly state that if the black hole high-pressure cannot be accurately measured, it should be stated separately Combining 'duck nest' with 'signal inundation': Because the environment is dominated by negative energy, particles' entry 'does not have a stable force to trap it, and the weak pressure it generates is completely inferior to the surrounding massive negative energy background. Sublimation of neutrino analogy: Integrating the mechanism of "tiny positive energy side pressure being submerged by negative energy background" directly with the principle of difficult neutrino detection, the logic is perfect. Proof 2: Rigorous derivation from reaction-diffusion equation to potential energy equation The positive energy accumulation potential decays by 1/r (E-positive=- A/r), while the negative shell expansion repulsion potential increases by r ² (E-negative=Br ²). The total energy functional E (r) is - A/r+Br ². Find the minimum value (dE/dr=0) and obtain the mechanical locking radius: r_eq=(A/2B) ^ (1/3). This proves the existence of a definite mechanical equilibrium point inside the particle. Proof 3: The Necessity of Destruction of Positive and Negative Matter and the Independent Balance of Positive and Negative Quantum Wells It is necessary to strictly distinguish between "positive and negative matter" and "positive and negative quantum wells". Electrons and positrons (antimatter) both belong to the positive energy category, and when they meet, they completely annihilate due to topological conflicts. Proton stability: The aggregation tendency of positive quantum wells is much greater than the repulsion of negative quantum wells, and the controlled collapse equilibrium is achieved by the quantum degeneracy pressure excited by the uncertainty principle. Electronic stability: The self topology structure finds a stable mechanical equilibrium point in the repulsive tension of the negative quantum well background at the bottom layer and exists in suspension. Proof 4: Particle measurability analysis based on the essence of detection instruments The essence of instrument detection is to measure "pressure". Positive quantum wells generate aggregation pressure; Negative quantum wells generate outward tension. Neutrinos are highly symmetrical "positive negative nested equilibria" with extremely low net pressure; The graviton is a deformation wave of the grid skeleton, without solid impact, so traditional instruments are extremely difficult to capture. Part 2: The Stability Mechanism and Inevitability Essence of Particles Proving 4-A: The Fundamental Mechanical Mechanism for the Long term Stable Existence of Protons and Electrons Why can protons and electrons survive stably for billions of years without disintegration in the underlying quantum well grid? According to the dual channel model, they rely on two completely different mechanical equilibrium mechanisms: 1. Proton stability: "controlled collapse equilibrium" dominated by positive quantum wells The aggregation tendency of positive quantum wells inside protons is much greater than the repulsion effect of negative quantum wells. According to classical gravity, protons should have collapsed into a point long ago. But precisely because of the extreme compression of the internal space, the uncertainty principle triggers an extremely powerful "quantum degeneracy" (inner wall tension, F1 tension ∝ 1/(Δ x) ³). This extremely large outward tension firmly resisted the inward compression of gravity, forming a "controlled collapse equilibrium at extremely high density". This is the fundamental reason why protons are extremely stable and difficult to crush. 2. Electronic Stability: "Isolated Topological Equilibrium" in Negative Quantum Well Background Electrons do not rely on strong internal gravity to maintain their existence. It itself is an isolated topological structure entity (positive core+negative shell), floating in the bottom dispersed negative quantum well spatiotemporal grid. Due to its inherent negative shell and same-sex repulsion with the underlying negative grid, it has found a perfect "floating equilibrium point" in the vast negative energy repulsion field. As long as the external negative energy en