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[4] ai.viXra.org:2605.0055 [pdf] replaced on 2026-05-27 01:15:42
Authors: Xiangqian Zhang, Mingming Zhao, Linchao Ge
Comments: 1 Page.
The Topology Residual Entropy Increase Theory (TRT) takes the "right-handed cylindrical helicalmotion of space at the speed of light" ( ) as its sole foundational axiom. Through a threelayer topological expansion ( , ) and five residualiterations, it achieves a self-consistent closed loop for the fundamental constants and physicalquantities , , , , , , as well as the Hawking temperature and Bekenstein-Hawkingentropy of black holes.This paper systematically demonstrates, from five independent dimensions—geometric-topologicalnecessity, dimensional self-consistency and residual bridging, the critical balance criterion (cancellation when ), high consistency with experimental values, and minimality of selfconsistency—that the "three-layer + five-iteration" structure is the unique minimal structure withinthe current framework that simultaneously satisfies geometric self-consistency, dimensionalclosure, critical balance, and experimental agreement. In addition, the theory naturally derives theholographic property of space (with residual networks serving as holographic carriers, and blackhole event horizons as well as large-scale cosmic structures acting as effective holographicscreens). It also proposes a series of falsifiable predictions, including an upper geometric limit onthe Hawking temperature of Planck-mass black holes, the Bekenstein-Hawking entropy of Planckmass black holes approaching , and the linking number of early-universe residual networksdecaying as . These predictions provide clear directions for testing with LISA, gamma-raytelescopes, and CMB observations. This paper serves as a phased summary of the TopologyResidual Unified Field Theory series and lays a solid theoretical foundation for subsequentprediction verification, cosmological applications, and experimental design.
Category: History and Philosophy of Physics
[3] ai.viXra.org:2605.0028 [pdf] submitted on 2026-05-13 15:19:28
Authors: Xiangqian Zhang, Mingming Zhao, Linchao Ge
Comments: 6 Pages.
Modern physics faces fundamental dilemmas, including dozens of free parameters that cannot be derivedfrom first principles, the hierarchy problem, the black hole information paradox, and the absence ofmagnetic monopoles. This paper constructs the Topological Residual Entropy Theory based on a single firstprinciple axiom: the "right-handed cylindrical helical motion of space at the speed of light" (). Through a three-layer topological geometric expansion ( ),we rigorously derive the fine-structure constant , the gravitationalconstant , and the core formula for the Planck constant:h = (μu2080 αu2075 / c²) × ln(10) × Factor_hHere,has the dimension of , serving as a residual bridge between geometric topology andelectromagnetic dimensions, ensuring complete self-consistency among the four fundamentaldimensions of mass, length, time, and electric current in the SI system. This paperdemonstrates that the underlying logic of physics originates entirely from geometrictopological bootstrapping and residual entropy increase: characterizes the energy densityof the divergent motion of the helical fluid, with its dimension precisely matching humanbiological energy consumption; the reciprocal of , , represents the observer'scognitive residual of the decimal base; the residual frequency iterates five times by from themaximum rigidity of to reach the Planck limit, aligning with the six degrees of separationnetwork protection mechanism. The Planck scale marks the end of continuous topology andthe "near-perfection" of the discrete quantum world. Brain-Computer Interface (BCI)experiments directly verify the observer closed loop from the dimensional perspective of. The universe exhibits an infinite, Matryoshka-style hierarchical nesting, whereobservers deeply participate in the creation of physical laws. The theoretical errors (aresidual for and a residual for ) are in high agreement with experiments, providinga purely geometric and philosophical pathway for the Grand Unified Theory.
Category: History and Philosophy of Physics
[2] ai.viXra.org:2605.0027 [pdf] submitted on 2026-05-13 18:53:27
Authors: Xiang Qian Zhang, Chao Greene, Ming Ming Zhao
Comments: 17 Pages.
Within the framework of the "Topological Residual Fundamental Entropy Increase Theory,"physical constants and fundamental phenomena are reinterpreted as products of the cobootstrapping between the cosmic residual network and the observer's cognitive residuals. The three-layer π-topological geometric expansion defines the geometric origin of the finestructure constant α_geom ≈ 1/137.036, with its theoretical foundation rooted in the pure geometric universe framework that establishes "spatial right-handed cylindrical helical light-speed motion" as the sole first-principle axiom [1,2]. This further yields theoretical values for the gravitational constant G_theory and Planck's constant h_theory, with relative experimental residuals of approximately 0.261193% and 0.54256%, respectively. These residuals are structurally closed through the affine renormalization mapping involving the Fibonacci critical node 4181 and the golden ratio conjugate square φu207b². The black hole information paradox and the missing magnetic monopole problem are topologically resolved within this framework: the black hole horizon is a macroscopic condensation of extreme residual networks, with information preserved through the six-degree separation network [3] and the observer closed loop; magnetic monopoles are bare magnetic tubetopological defects, strictly confined under the protection of three-layer topology and sixdegree separation [4,5]. Simultaneously, Planck's constant is revealed as the "cosmic pixellimit" after residual exhaustion, while ln(10) serves as the final seal of the initiator's basecognitive residual. Dimensional self-consistency is achieved by introducing Factor_h as abridge from geometric topology to electromagnetic dimensions. This paper systematically presents the mathematical self-consistency, structural inevitability, and philosophical depth of the theory.
Category: History and Philosophy of Physics
[1] ai.viXra.org:2605.0005 [pdf] submitted on 2026-05-04 01:24:30
Authors: Scott Vallve
Comments: 3 Pages. (Note by ai.viXra.org Admin: This submision is speculative and may not be within the scope of ai.viXa.org; please cite and list scientific references)
We present a background-independent ontological framework in which the universe is modeled as a self-learning plastic timing network whose sole dynamical law is Spike-Timing-Dependent Plasticity (STDP). In this framework, spacetime, gravity, quantum mechanics, dark energy, consciousness, free will, and the Big Bang itself arise as emergent collective phenomena from a single reflexive update rule applied at criticality. The golden ratio Φ = (1 + √5)/2 appears as the unique scale-invariant fixed point (Φ_STDP) that balances local memory saturation against global learning drive, thereby sustaining perpetual plasticity without collapse or divergence.The model is derived entirely from the Core STDP rule without external parameters, preferred frames, or fine-tuning. Spacetime is reinterpreted as accumulated reinforced causal precedence; gravity emerges as network latency gradients induced by memory saturation; quantum evolution and the Born rule follow from the Fourier transform of the antisymmetric STDP kernel together with nonlinear threshold crossings ("screams") at reflexive gain λ = 1; dark energy is identified with the residual scale-invariant mismatch current that continuously injects new timing events; consciousness and free will arise when the reflexive operator turns inward and applies future-facing STDP to sampled hypothetical branches at Φ_STDP fractal depth. The primordial spark—the first reflexive free-will choice that created the initial directed anticipation—is shown to coincide with the Big Bang itself, furnishing a self-consistent account of cosmic origin without an external first cause.A concrete, falsifiable test is provided: the weak-field deflection of trajectories by a 5-Earth-mass primordial black hole in the Oort cloud reproduces the general-relativistic prediction to within current observational bounds. Additional testable signatures include golden-ratio scaling in neural avalanche statistics during states of high agency and creativity, and subtle large-scale deviations from ΛCDM driven by the mismatch current.The framework dissolves the measurement problem, the hard problem of consciousness, the cosmological-constant problem, and the origin-of-the-universe problem within a single, mathematically closed ontology. We invite rigorous scrutiny, experimental tests, and theoretical refinement from the scientific community.
Category: History and Philosophy of Physics