一个可计算的核心
A calculable core
以状态场改变质量参数,联合描述粒子、边界和控制场。
A state field changes mass parameters, connecting particles, boundaries and control fields.
一份关于理论重构、经典动力学、状态稳定性与观测约束的双语研究介绍。
A bilingual introduction to theoretical reconstruction, classical dynamics, state stability and observational constraints.
本项目从两份统一场论与人工场原始材料出发,保留用户提出的四项核心命题,重新建立变量、作用量、稳定性判据和能量动量账目。研究已经形成可复算的经典模型,并针对其薄弱之处提出 V3 质量耦合。
Starting from two supplied manuscripts on unified fields and artificial fields, this project retains four user-selected propositions and rebuilds their variables, action, stability criteria, and energy–momentum accounting. The work now includes reproducible classical models and a V3 mass coupling designed to address specific weaknesses.
以状态场改变质量参数,联合描述粒子、边界和控制场。
A state field changes mass parameters, connecting particles, boundaries and control fields.
从变分到零质量退出,给出解析结果、数值收敛与守恒核验。
From variation to massless exit, the work provides analytic results, convergence checks and conservation tests.
使用 DESI DR2 的公开 BAO 向量及完整协方差;检验范围明确限定。
The public DESI DR2 BAO vector and full covariance are used, with the scope of the test explicitly limited.
保留思想来源,同时明确数学含义与成立条件。
Retain the motivating ideas while defining their mathematical meaning and conditions.
以未来指向的零传播方向实现。它没有证明所有场自由度都必须以光速传播。
Implemented as future-directed null propagation. This does not require every field degree of freedom to have light-speed group velocity.
非零能量的零质量传播已经实现;自动匹配一个指定空间流的方向仍需独立相互作用。
Finite-energy massless propagation is implemented. Automatic alignment with a prescribed spatial flow still requires an interaction.
将命题落实为保持模长的方向变化。角速度的来源必须由动力学给出。
The statement becomes a norm-preserving change of direction. Dynamics must still determine the angular-velocity generator.
共线量可写为比例关系;比例系数未必恒定,也不会自动锁定独立自由度。
Collinear vectors admit a proportional relation. The coefficient need not be constant and does not itself align independent degrees of freedom.
四项命题没有唯一决定质量函数、势能或粒子种类。具体构成必须另行选择,并接受稳定性和实验约束;“必须得到飞行效果”不能作为跳过推导的理由。
The propositions do not uniquely specify a mass function, a potential or a particle spectrum. Constitutive choices need independent stability and empirical tests; a desired flight outcome cannot substitute for a derivation.
V1 是计算出发点;后续版本对其具体构成作了修改。
V1 is the computational starting point; later versions modify its specific functions.
χ 描述局部状态;质量函数决定物质响应;势能决定状态偏好与边界代价;Z 决定电磁耦合。仪器和电源只有在纳入动力学后,才能计入闭合装置的收支。
χ describes the local state; the mass function sets the matter response; the potential sets preferred states and boundary costs; Z sets electromagnetic coupling. Apparatus and power supplies must be dynamical parts of a model before a closed-device balance can be claimed.
此处采用 c = ℏ = 1。粒子能量变化式使用场的偏时间导数,空间梯度的贡献由动量变化补偿。完整守恒要求包括状态场、电磁场、物质与控制装置。
Here c = ℏ = 1. The particle-energy equation uses the field’s partial time derivative; spatial-gradient contributions are balanced by momentum changes. Full conservation includes the state field, electromagnetism, matter and the controller.
解析解、数值实现与误差诊断共同限定结论。
Analytic solutions, numerical implementations and error diagnostics delimit the conclusions.
核对场方程、粒子方程及交换关系;另验证七项符号恒等式。
Field equations, particle equations and exchange relations were checked, alongside seven symbolic identities.
求得平面壁及非负线性谱;证明无源三维有限静态泡不能自持。
A planar wall and non-negative linear spectrum were obtained; an isolated, source-free finite static bubble is excluded.
得到 Yukawa 型格林核,并以独立积分检验有限差分收敛。
A Yukawa-type Green kernel was derived and finite-difference convergence checked against independent integration.
指定平滑背景下,非零动量粒子可进入零质量平台并恢复质量。
In a prescribed smooth background, a particle with nonzero momentum can enter a massless plateau and recover its mass.
一维周期电磁—标量—双试样系统中,试样动量变化由场动量补偿。
In a periodic 1D electromagnetic–scalar–two-sample system, changes in sample momentum are balanced by field momentum.
澄清双零极限、力的关断、可控退出及方向锁定缺失。
Double-zero limits, force suppression, controlled exit and the missing alignment interaction were clarified.
平面壁的线性稳定不等于有限三维舱体稳定。对无源、正则、有限能量的静态标量区域,缩放给出 E(λ) = λEgrad + λ³EU,无法满足非平凡驻值条件。
Linear stability of a planar wall does not imply stability of a finite 3D chamber. For a source-free, regular, finite-energy static scalar region, scaling gives E(λ) = λEgrad + λ³EU, which admits no nontrivial stationary configuration.
理想真空平面电磁波的两个场不变量均为零,因此不会通过 V1 所选的直接不变量源激发状态场。弱场解也不能外推为强场质量转换阈值。
Both electromagnetic invariants vanish for an ideal vacuum plane wave, so it does not excite the state field through V1’s chosen direct invariant source. Weak-field solutions cannot establish a strong-field mass-conversion threshold.
区分粒子、场和控制源,也区分时间控制与空间控制。
Distinguish the particle, fields and controller—and temporal from spatial control.
m₀ = 1、p = 0.3 时,粒子能量从 1.04403065 降到 0.3,释放 0.74403065;恢复同一质量和动量需要返还相同能量。
For m₀ = 1 and p = 0.3, particle energy falls from 1.04403065 to 0.3, releasing 0.74403065. Restoring the same mass and momentum requires the same energy back.
静态质量梯度可以改变粒子动量,场或装置承担反冲。初始静止粒子不会通过空间均匀的时间调制自动获得出发方向。
A static mass gradient can change particle momentum, with recoil carried by the field or apparatus. A spatially uniform time modulation does not automatically launch an initially resting particle.
势能极小、物质稳定、有限区域稳定,是三个不同的问题。
A potential minimum, stable matter and a stable finite region are different questions.
V1 状态 V1 state | 判定 Finding | 成立范围 Scope |
|---|---|---|
普通真空 χ = 0 Ordinary vacuum χ = 0 | 局部线性稳定 Locally linearly stable | 无物质反作用、无电磁背景 No matter backreaction or EM background |
势垒顶 χ = 1/2 Barrier top χ = 1/2 | 长波不稳定 Unstable at long wavelengths | 均匀驻点的小扰动 Perturbations of the homogeneous stationary point |
一般中间低质量值 Generic intermediate low-mass value | 通常不是静态平衡 Generally not a static equilibrium | 需要控制源或持续动态演化 Requires a controller or continuing evolution |
零质量真空 χ = 1 Massless vacuum χ = 1 | 局部线性稳定 Locally linearly stable | 不保证有限区域或宏观结构稳定 Does not establish finite-region or macroscopic stability |
这是 V1 冷物质固定密度普通分支。密度达到临界值时分支消失;允许密度扰动后,还出现标量诱导的聚集模。这些问题推动了 V3:让普通态本身成为质量耦合的极小值。
This is V1’s ordinary branch for fixed-density cold matter. It disappears at a critical density; allowing density perturbations also produces scalar-induced clustering. These weaknesses motivated V3: make the ordinary state a local minimum of the mass coupling itself.
本轮找到的具体构成,和它必须付出的代价。
A concrete construction—and the costs it carries.
B、Δ 与 ρΛ 是能量密度;此处 B 不是磁场。V3 基准取 Z = 1,并以偶对称保护普通态处的一阶导数为零。
B, Δ and ρΛ are energy densities; B is not the magnetic field here. The V3 benchmark uses Z = 1, with even symmetry keeping first derivatives at the ordinary state equal to zero.
精确普通态无一阶标量源;在所列边界条件下恢复 GR 的经典极限。
The exact ordinary state has no linear scalar source and recovers the classical GR limit under the stated boundary conditions.
固定密度冷物质的普通态曲率为正;普通态的线性物质交叉耦合消失。
The ordinary state has positive curvature for fixed-density cold matter; linear matter–scalar mixing vanishes there.
有效粒子描述保留端点,但完整微观物质跨越尚未建立。
The effective particle description retains these endpoints; a full microscopic passage through them is not established.
此图按 V3 函数实时计算,固定 B/Δ = 10。改变场值与密度比,可观察普通态、势垒和零质量态的区别;它不是三维演化仿真。
This plot evaluates the V3 functions in real time with B/Δ = 10. Change the field value and density ratio to compare the ordinary state, barrier and massless state. It is not a 3D evolution simulation.
实际拟合存在,但必须正确理解它在检验什么。
There is an actual fit, but its meaning must be kept precise.
拟合采用两个参数 Ωm 与 Q = c/(H₀rd),保留全部协方差。最优 Ωm = 0.29714、Q = 29.52193。此处不能把 H₀ 与声学尺度 rd 分别当成独立测量值。
The two fitted parameters are Ωm and Q = c/(H₀rd), retaining the full covariance. Best-fit values are Ωm = 0.29714 and Q = 29.52193. H₀ and the sound horizon rd cannot be inferred separately from these measurements alone.
这项检验针对 V3 的 χ = 0 分支;它与 ΛCDM 背景相同。因此拟合通过不能证明新场存在,也不能由 BAO 确定 B、Δ 与 f。固定参考参数时 χ² = 28.694,提示联合数据张力仍需处理。
The fit tests V3’s χ = 0 branch, whose background matches ΛCDM.A good fit therefore does not establish the new field or determine B, Δ or f. At the fixed reference point χ² = 28.694, showing that joint-data tensions remain relevant.
下载公开数据并固定版本;保留 13 × 13 协方差;用两个优化初值核对;保存数据哈希与预测值。
CMB、超新星与结构形成联合似然;早期热历史与初值机制;任意非零背景的完整引力实验约束。
Version-pinned public data, the full 13 × 13 covariance, two optimization starts, data hashes and saved predictions.
A joint CMB–supernova–structure likelihood, early thermal history and initial-state selection, and full gravity-test constraints for arbitrary nonzero backgrounds.
引力兼容性来自普通态退耦,而不是新效应被观测到。普适耦合下的等效原理与第五力不是同一个检验;实际非零背景还需要考虑源几何、作用程和材料成分。
Gravity compatibility comes from ordinary-state decoupling, not detection of a new effect. Equivalence-principle tests and fifth-force tests are distinct even under universal coupling; nonzero backgrounds require source geometry, range and material composition to be treated explicitly.
覆盖问题不等于解决问题;每个机制都需要自己的判定标准。
Covering a question does not solve it; each mechanism needs its own test.
状态场小振幅振荡可平均呈现尘埃行为。丰度、聚集与寿命尚待计算;V3 基准仍包含通常的冷暗物质。
Small scalar oscillations can average to dust-like behavior. Abundance, clustering and lifetime remain to be calculated; the V3 benchmark still includes ordinary cold dark matter.
V3 将 ρΛ 与转换势垒分开,消除了强制共用能标的冲突,但没有解释宇宙学常数为何很小。
V3 separates ρΛ from the conversion barrier, removing a forced scale identification, but does not explain why the cosmological constant is small.
四项命题尚未导出 Born 规则、费米子自旋、规范荷、质量谱或微中子混合。
The four propositions have not derived the Born rule, fermion spin, gauge charges, mass spectra or neutrino mixing.
经典场方程尚未解决黑洞信息、量子引力、初始低熵或宇宙最初边界。
The classical field equations do not solve black-hole information, quantum gravity, initial low entropy or the earliest cosmic boundary.
点粒子零质量传播不证明整机总质量归零。方向锁定、稳定状态舱与束缚结构是关键缺口。
Massless point-particle propagation does not establish zero total spacecraft mass. Alignment, stable state regions and bound structure remain key gaps.
偶对称能保护普通态斜率,却不能自动保护精确零质量端点、真空能或所有高阶耦合。
Even symmetry can protect the ordinary-state slope, but not automatically the exact massless endpoint, vacuum energy or every higher-order coupling.
组成粒子的静止质量归零,不保证系统总不变质量归零。内部运动、结合能、控制场和边界能量都要进入同一个总能量动量。
Zero constituent rest masses do not guarantee zero total invariant mass. Internal motion, binding, control fields and boundary energy all enter the same total energy–momentum.
让每一步减少自由度,并把模型置于可失败的检验之下。
Each step should reduce freedom and expose the model to tests it could fail.
正文与图件可离线阅读;配套研究文件链接指向原项目。
Text and figures work offline; companion-file links point to the original project.
定义、作用量与研究任务
Definitions, action and research tasks
六项计算的论文叙述
Paper presenting the six calculations
算法、边界条件与收敛
Algorithms, boundaries and convergence
物质反作用、聚集模与完整循环
Matter backreaction, clustering modes and the full cycle
重大问题覆盖与一致性审计
Open-problem map and consistency audit
新构成、基准参数与实际 BAO 拟合
New construction, benchmark and actual BAO fit
原始概念材料为项目提供的《统一场论》与《人工场,飞碟技术制造指南》第九版;它们提供研究动机,不作为新物理已被验证的依据。本文介绍的是截至 2026 年 10 月 23 日的项目成果。除 DESI 观测输入外,图中曲线均为模型计算,不是新实验测量。
The supplied manuscripts on unified fields and artificial-field technology, ninth edition, provide the motivation, not validation of new physics. This overview covers the project record through 23 October 2026. Except for the DESI observational inputs, plotted curves are model calculations, not new experimental measurements.