Hierarchical Boundaries of Temperature and Neutrino Empiricism from the Perspective of Chen's Superstring Theory   (Based on the unified framework of Chen's Superstring Theory on Xiaomuchong Academic Platform)   Abstract   This paper, relying on the series of studies on Chen's Superstring Theory published on Xiaomuchong Academic Research First Station, demonstrates the nature of temperature as a statistic of particle thermal motion and its invalidity in the pure energy domain of string states. Through the temperature-free phenomenon of 227 PeV ultra-high-energy neutrinos (French Cube Experiment), combined with the amplitude-frequency-spin energy description system of string theory, it reveals that temperature is a low-level concept in the particle domain, and string-state energy (such as neutrinos) needs to be explained through intrinsic string parameters. The theory can be strictly degraded to classical physical formulas in the Earth's environment, uniformly derive fundamental constants, and construct a self-consistent cosmic interpretation framework.   I. Introduction: Neutrino Paradox and Temperature Cognition Revolution   The French Cube Experiment team (2025) detected 227 PeV ultra-high-energy neutrinos 3440 meters underwater, with an energy 30,000 times that of the European Large Hadron Collider (LHC) — according to the particle thermal motion model, this energy should correspond to an extremely high temperature (T~10²⁰ K), but neutrinos did not cause any thermal effects when passing through the Earth or the human body (only indirectly observed through Cherenkov radiation). This paradox points directly to the core limitation of the concept of temperature: when energy exists in the form of "string-state pure energy", the statistical basis of particle thermal motion completely collapses.   II. The Particle Domain Nature of Temperature: Statistics and Limitations   2.1 Particle-Dependent Characteristics of Temperature   Temperature measurement relies on macroscopic statistics of particle collisions (such as thermal expansion and contraction of mercury, electron transport), and its microscopic nature is the kinetic energy average under the Boltzmann distribution (Eₖ∝T). However, in the string-state domain (such as the neutral string network of dark matter, ultra-high-energy neutrinos), energy transfer is achieved through fractal resonance of the string network (fractal dimension D=2.32), without particle collision processes, so the concept of temperature naturally becomes invalid (Figure 1 shows the comparison of energy transfer mechanisms between string states and particle states).   2.2 Breakthrough in Neutrino's Temperature-Free Empiricism   The energy level (Table 1) and temperature absence of 227 PeV neutrinos directly confirm the prediction of string theory:   Energy carrier; Energy magnitude; Temperature prediction (particle model); Actual thermal effect; Theoretical explanation   LHC proton; ~7 TeV; ~ [corresponding high temperature]; Hadron jets, thermal radiation; Superposition of particle thermal motion   Neutrino; 227 PeV; ~ [corresponding extreme high temperature]; No any thermal interaction; Intrinsic amplitude of string-state pure energy   The "ultra-high energy without temperature" characteristic of neutrinos reveals that temperature is only applicable to low-level energy of particle thermal motion, and string-state energy requires a more essential description dimension.   III. Non-Temperature Description of String-State Energy: From Force Formulas to Triples   3.1 Static/Dynamic String Force Formulas: Geometric Expression of Energy   The core theory of Xiaomuchong Forum ("Dynamic String Force Formula: Integrating Euler's Formula and Fibonacci Scaling") proposes:   - Static string force (describing the relationship between string length and energy):   p = e(l - L)    (e=mc², L is the critical string length)   When l>L, it behaves as a gravitational string (such as quark confinement); when l<L, it is a repulsive string (such as dark energy repulsion).   - Dynamic string force (describing string length evolution and energy oscillation):   String length follows Fibonacci scaling (l(t) ∝ F(⌊kt⌋)), and energy satisfies Euler's formula:   e(t) = mc²(cosωt + isinωt)   The imaginary part sinωt encodes spacetime phase, explaining parity violation in weak interactions.   3.2 Triple Description of String-State Energy   String-state energy is uniquely determined by amplitude A, frequency ω, and spin s (Figure 2 shows the string-state parameter model):   - Amplitude: corresponding to energy density (E∝A²). The energy of 227 PeV neutrinos originates from the fundamental frequency amplitude extremum of neutral strings; - Frequency: regulating spacetime phase (such as the mass difference Δm∝cosωt in neutrino oscillation); - Spin: topological winding number determines interactions (the zero spin of neutrinos corresponds to the non-winding state of neutral strings, so the weak interaction is extremely weak)

本文依托晓木虫学术科研第一站发表的陈氏超弦理论系列研究,论证温度作为粒子热运动统计量的本质,及其在弦态纯能量域的失效性。通过227 PeV超高能中微子(法国立方体实验)的无温度现象,结合弦理论的振幅-频率-自旋能量描述体系,揭示:温度是粒子域的低层级概念,弦态能量(如中微子)需通过弦本征参数阐释。理论在地球环境下可严格退化为经典物理公式,统一推导基础常数,构建自洽的宇宙解释框架。