UFT Labs
UFT LABS · RESEARCH OVERVIEW · 23 OCT 2026

空间运动
与质量状态
Spatial Motion
& Mass States

从四项核心命题,到可计算的候选理论
From four core propositions to a calculable candidate theory

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.

UFT LabsV1 → V2 → V3
研究进行中
Research in progress
PROPAGATIONSTATE & MASSCONSERVATION传播方向状态与质量能量与动量守恒
概念示意图,不表示观测到的空间流或飞行器轨迹。
Conceptual illustration; not an observed spatial flow or a spacecraft trajectory.
THE RESEARCH IN ONE PAGE

把直觉变成方程,
让方程接受检验。

Translate intuition into equations.
Let the equations face tests.

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.

01 / THEORY

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.

02 / CALCULATION

六项基础计算

Six foundational studies

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.

03 / EVIDENCE

一次真实数据拟合

An actual data fit

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.

01

四项核心命题
Four core propositions

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.

P01

空间以光速运动

Space moves at light speed

gμνkμkν=0g_{\mu\nu}k^\mu k^\nu=0

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.

P02

零质量时随空间光速运动

Massless matter propagates at light speed

m=0, E>0 ⇒ ∣v∣=cm=0,\ E>0\ \Rightarrow\ |\mathbf v|=c

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.

P03

垂直即运动

Perpendicularity and directional evolution

n˙=Ω×n\dot{\mathbf n}=\boldsymbol\Omega\times\mathbf n

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.

P04

平行即正比

Parallelism and proportionality

A=α(x,t)B\mathbf A=\alpha(x,t)\mathbf B

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.

02

最小模型如何工作
How the minimal model works

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.

V1 · CLASSICAL EFFECTIVE MODEL
Sf=∫ ⁣−g d4x[MPl22R−f22(∇χ)2−U(χ)−Z(χ)4FμνFμν]S_f=\int\!\sqrt{-g}\,d^4x\left[\frac{M_{\rm Pl}^2}{2}R-\frac{f^2}{2}(\nabla\chi)^2-U(\chi)-\frac{Z(\chi)}4F_{\mu\nu}F^{\mu\nu}\right]
ma=ma0(1−χ)2,U=Λ4χ2(1−χ)2,Z=eβχm_a=m_{a0}(1-\chi)^2,\quad U=\Lambda^4\chi^2(1-\chi)^2,\quad Z=e^{\beta\chi}

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.

同一作用量,同一套守恒关系

One action, consistent conservation laws

H=p2+m2,x˙=pH,p˙=−mm′H∇χH=\sqrt{\mathbf p^2+m^2},\qquad\dot{\mathbf x}=\frac{\mathbf p}{H},\qquad\dot{\mathbf p}=-\frac{m m'}H\nabla\chi
dHdt=mm′H∂tχ,∇μTtotalμν=0\frac{dH}{dt}=\frac{m m'}H\partial_t\chi,\qquad \nabla_\mu T_{\rm total}^{\mu\nu}=0

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.

03

六项计算,形成研究骨架
Six studies establish the computational basis

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.

01

变分与约束

Variation and constraints

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.

02

真空与状态边界

Vacua and state boundaries

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.

03

电磁弱场响应

Weak electromagnetic response

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.

04

粒子转换与恢复

Particle conversion and restoration

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.

05

控制场与总动量

Control fields and total momentum

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.

06

零质量端点

The massless endpoint

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.

FIG. 01
V1 平面状态壁与能量密度。独立边值解和解析解的最大剖面差为 4.69 × 10⁻⁸。图中均为无量纲。
V1 planar state wall and energy density. The maximum profile difference between the independent boundary-value solution and analytic result is 4.69 × 10⁻⁸. Quantities are dimensionless.
χw(z)=11+e−μ(z−z0),μ2=2Λ4f2,σ=26fΛ2\chi_w(z)=\frac{1}{1+e^{-\mu(z-z_0)}},\quad\mu^2=\frac{2\Lambda^4}{f^2},\quad\sigma=\frac{\sqrt2}{6}f\Lambda^2

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.

FIG. 02
V1 的局域弱源响应。电场主导与相反源给出相反符号;这一直接电磁耦合没有沿用到 V3 的 Z = 1 基准。
V1 local weak-source response. Electric-dominated and opposite sources produce opposite signs. This direct electromagnetic coupling is absent from the V3 benchmark with Z = 1.

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.

04

转换必须支付什么
What conversion must account for

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.

FIG. 03
V1 指定时间背景下的进入、平台与恢复。绿色区为零质量平台;图中的控制源增益按粒子能量交换计算。
Entry, plateau and restoration in V1 under a prescribed time-dependent background. Green marks the massless plateau; controller gain is computed from particle-energy exchange.
FIG. 04
后续循环计算显式计入状态场动能和势能。外源做功与场加粒子总能量变化一致;完整理想循环净功为零。
The follow-up cycle explicitly includes scalar kinetic and potential energy. External work equals the change in field-plus-particle energy; the ideal full cycle has zero net work.
FIG. 05
含动态控制场的一维闭合算例。试样动量变化由场补偿。系统初始即有非零场动量,且只是弱激发的低维示例。
A closed 1D example with dynamical control fields. Field momentum compensates sample changes. The system starts with nonzero field momentum and is only a weakly excited, low-dimensional example.
降低粒子质量,不会免除
全系统的能量与动量账目。
Reducing a particle’s mass does not remove
the system’s energy–momentum balance.
05

稳定性改变了研究方向
Stability changed the direction of research

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
FIG. 06
V1 固定密度冷有效势与无阻尼振荡。χ(0) = 0.9 的状态越过零质量点,而非自动停住。固定密度的极小值也不能排除冷尘的聚集增长模。
V1 fixed-density cold effective potentials and undamped motion. A state starting at χ(0) = 0.9 crosses the massless point rather than settling automatically. A fixed-density minimum also does not exclude clustering modes in freely moving cold dust.
χ−=1−1−8r4,r=nm0Λ4<18\chi_- =\frac{1-\sqrt{1-8r}}4,\qquad r=\frac{nm_0}{\Lambda^4}<\frac18

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.

FIG. 07
V1 零质量端点:固定非零动量与同时趋零的动量具有不同极限;有限动量下的质量梯度转向力趋零。
V1 massless endpoint: fixed nonzero momentum and simultaneously vanishing momentum have different limits. At finite momentum, the mass-gradient turning force vanishes near the endpoint.
06

V3:稳定普通态,保留零质量分支
V3: stabilize the ordinary state and retain a massless branch

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.

V3 · PROPOSED CONSTITUTIVE FUNCTIONS
ma(χ)=ma0A(χ),A(χ)=(1−χ2)2(1+3χ2)m_a(\chi)=m_{a0}A(\chi),\qquad A(\chi)=(1-\chi^2)^2(1+3\chi^2)
V(χ)=ρΛ+Bχ2(1−χ2)2+Δχ2(2−χ2),B>Δ>0V(\chi)=\rho_\Lambda+B\chi^2(1-\chi^2)^2+\Delta\chi^2(2-\chi^2),\qquad B>\Delta>0

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.

A(0)=1,A′(0)=0A(0)=1,\quad A'(0)=0

普通态退耦

Ordinary-state decoupling

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.

2B+4Δ+2ρ∗f2>0\frac{2B+4\Delta+2\rho_*}{f^2}>0

密度提高回复刚度

Density increases restoring stiffness

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.

A(±1)=0A(\pm1)=0

保留有限零质量端点

Finite massless endpoints remain

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.

FIG. 08
V3 的质量函数和固定密度有效势。ρ* < Δ 时普通态为冷有效势的全局最低态;更高密度下它仍可局部稳定。
V3 mass function and fixed-density effective potential. For ρ* < Δ, the ordinary state is the global minimum of the cold effective potential; it can remain locally stable at higher density.
交互示意
Interactive model

亲自查看质量与势阱

Explore the mass and potential

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.

A(χ) = m/m₀
[Veff(χ) − Veff(0)] / Δ
当前状态
Current state
07

让候选模型面对观测
Putting the candidate against observations

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.

DESI DR2 · BAO ONLY · FULL COVARIANCE
13
公开观测量
Public observables
10.284
最小 χ²
Minimum χ²
11
自由度
Degrees of freedom
0.505
近似 p 值
Approximate p-value

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.

FIG. 09
公开协方差白化后的 BAO 残差。蓝色是 BAO 最优拟合,橙色是固定的 Planck 式参考参数点,并非 CMB 联合最优拟合。
BAO residuals whitened by the public covariance. Blue is the BAO best fit; orange is a fixed Planck-like reference point, not a joint CMB best fit.

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.

已完成

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。

尚未完成

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。

Completed

Version-pinned public data, the full 13 × 13 covariance, two optimization starts, data hashes and saved predictions.

Not yet completed

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.

08

重大问题:解释到哪里了
Major questions: how far does the framework reach?

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.

条件性机制
Conditional mechanism

暗物质

Dark matter

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.

基线输入
Baseline input

暗能量

Dark energy

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.

开放问题
Open question

量子现象与粒子谱

Quantum phenomena and particle spectra

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.

开放问题
Open question

黑洞与宇宙起源

Black holes and cosmic origins

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.

尚无闭合方案
No closed solution yet

宏观飞行与结构

Macroscopic flight and structure

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.

需重新检验
Further checks required

量子修正与自然性

Quantum corrections and naturalness

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.

M2c4=Etotal2−c2Ptotal2M^2c^4=E_{\rm total}^2-c^2\mathbf P_{\rm total}^2

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.

09

下一步,什么结果才算进展
What would count as the next advance?

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.

  1. 01

    联合约束

    Joint constraints

    用同一参数集连接 CMB、BAO、超新星、结构与非零背景引力实验。

    Use one parameter set for CMB, BAO, supernovae, structure and gravity experiments with nonzero backgrounds.

  2. 02

    微观物质与量子保护

    Microscopic matter and quantum protection

    从有效质量参数进入真实粒子与束缚态;检查端点和真空能的量子修正。

    Move from effective mass parameters to real particles and bound states; examine quantum corrections to endpoints and vacuum energy.

  3. 03

    闭合控制与有限区域

    Closed control and finite regions

    明确发生器、反作用、边界和退出过程,计算三维稳定性。

    Specify the generator, recoil, boundaries and exit process, then calculate three-dimensional stability.

  4. 04

    可区分的预测

    Distinguishable predictions

    先找到普通效应无法替代、且与其他观测共用参数的实验信号。

    Identify a signal that ordinary effects cannot replace and whose parameters also satisfy independent observations.

10

研究资料与可复现性
Research record and reproducibility

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.

外部参考

External references

  1. Damour & Polyakov (1994). The String Dilaton and a Least Coupling Principle.
  2. Bertotti, Iess & Tortora (2003). A test of general relativity using radio links with the Cassini spacecraft.
  3. Touboul et al. (2022). MICROSCOPE mission: final results of the test of the Equivalence Principle.
  4. Planck Collaboration (2020). Planck 2018 results. VI. Cosmological parameters.
  5. DESI Collaboration (2025). DESI DR2 Results II: Measurements of Baryon Acoustic Oscillations and Cosmological Constraints.
  6. DESI DR2 public BAO data and covariance · pinned repository version.

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.

Enlarged research figure