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波场矢量再分配下的动能诠释——低速极限情形

Jinlong Zhang

Published May 9, 2026• 0 citations
Publisher

Abstract

在波场理论框架中,物质波包的宏观动能并非传统认知中单纯的运动做功能量,而源于物质波包总波矢(本征光速(c))在内部相位演化速率(u)与宏观平动速度(v)之间的矢量分解与再分配,核心遵循关系式(u^2 + v^2 = c^2)。本文通过严谨推导证明,在低速极限((v \ll c))条件下,该理论导出的动能表达式自动退化为经典牛顿力学动能公式(\frac{1}{2} m_0 v^2),二者数值完全等价;在高速下,动能高阶项与相对论能量公式数值一致,但波场理论给出了更本源的物理机制:能量用于波矢方向再分配,而非质量增加。该结论既验证了波场理论与日常经典物理经验的兼容性,又突破了传统动能定义的局限,为静止质量、宏观运动、高速物理行为提供了统一且自洽的非相对论新解释。

DOI
10.5281/zenodo.20101146

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在波场理论框架中,物质波包的宏观动能并非传统认知中单纯的运动做功能量,而源于物质波包总波矢(本征光速(c))在内部相位演化速率(u)与宏观平动速度(v)之间的矢量分解与再分配,核心遵循关系式(u^2 + v^2 = c^2)。本文通过严谨推导证明,在低速极限((v \ll c))条件下,该理论导出的动能表达式自动退化为经典牛顿力学动能公式(\frac{1}{2} m_0 v^2),二者数值完全等价;在高速下,动能高阶项与相对论能量公式数值一致,但波场理论给出了更本源的物理机制:能量用于波矢方向再分配,而非质量增加。该结论既验证了波场理论与日常经典物理经验的兼容性,又突破了传统动能定义的局限,为静止质量、宏观运动、高速物理行为提供了统一且自洽的非相对论新解释。
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本文提出一个以等腰三角形构型为基础的原子钟判决实验,直接证伪狭义相对论的相对性原理。 实验构型:一个静止的原子钟(钟S)和一个匀速直线运动的原子钟(钟M),在绝对时间的同一时刻,分别向远处的观测者P发射光信号。P与两者恰好构成等腰三角形——光从两个钟传播到P的距离完全相等,光程差被几何对称性完美消除。 本理论的预言:根据运动守恒公理 c02=v2+u2c_0^2 = v^2 + u^2c02​=v2+u2,运动钟M的内部演化速率被绝对运动挤占,走时更慢。P接收到的两个信号中,钟M的读数系统性地小于钟S的读数。扣除光信号延迟效应后,全宇宙所有观察者都会公认:匀速直线运动的原子钟走得更慢,静止的原子钟没有变慢。 狭义相对论的预言:在钟M的惯性系中,钟S也在运动,钟S也应该更慢。两者互相看对方变慢,不存在客观的“谁真正更慢”。只有掉头重逢时才能根据加速度历史判断。 证伪逻辑:等腰构型下,P不需要做任何“扣除延迟”的操作,只需直接比较两个信号的到达时间。如果P发现运动时钟的读数系统性地小于静止时钟,且差值随速度单调增加,这就是单向钟慢的铁证。相对性原理要求所有惯性系平权,无法解释这种客观的、不对称的钟慢。因此,相对性原理被直接证伪。 只有一个人不承认:随钟M一起运动的观测者。在他的惯性系视角下,他认为钟S更慢。但他的视角是被他的绝对运动误导的——他用来“测量”钟S时间的光信号经过了复杂的传播路径,叠加了延迟效应。全宇宙都同意钟M更慢,只有钟M自己不知道。
We introduce a cost-effective quantum error mitigation technique that builds upon the recent Ansatz-based gate and readout error mitigation method (M0). The technique, tiled M0, leverages the unique structure of tiled Ansätze (e.g., tUPS, QNP, hardware-efficient circuits) to apply a locality approximation to M0 that results in an exponential reduction in the QPU cost of the noise characterization. We validate the technique for molecular ground state energy calculations with the tUPS Ansatz on LiH, molecular hydrogen, water, butadiene, and benzene (4-12 qubits), demonstrating little to no loss in accuracy compared to M0 in noisy simulations. We also show the performance of the technique in quantum experiments, highlighting its potential use in near-term applications.
The Kanai-Caldirola (Bateman) Hamiltonian is used to derive the dynamics of a simple harmonic oscillator, initially in a minimum uncertainty state, under the influence of an external agency which causes the mass parameter to change from M0{\mathit{M}}_{0}M0​ to M1{\mathit{M}}_{1}M1​ in a short time \ensuremath{\epsilon}. Then the frequency changes from ${\mathrm{\ensuremath{\omega}}}_{0}$ to ${\mathrm{\ensuremath{\omega}}}_{1}$=(M0{\mathit{M}}_{0}M0​/M1{\mathit{M}}_{1}M1​)${\mathrm{\ensuremath{\omega}}}_{0}$+O(${\mathrm{\ensuremath{\epsilon}}}^{2}$). In the limit \ensuremath{\epsilon}\ensuremath{\rightarrow}0, no squeezing or loss of coherence occurs. If M1{\mathit{M}}_{1}M1​/M0{\mathit{M}}_{0}M0​=1\ifmmode\pm\else\textpm\fi{}\ensuremath{\eta} (0\ensuremath{\ll}1), then a squeezing of order ${\mathrm{\ensuremath{\epsilon}}}^{2}$\ensuremath{\eta} occurs. If M1{\mathit{M}}_{1}M1​/M0{\mathit{M}}_{0}M0​ is appreciably different from unity, then the quadrature variances are unequal but the state no longer has minimum uncertainty. An application could be made in quantum optics.
We introduce a cost-effective quantum error mitigation technique that builds upon the recent Ansatz-based gate and readout error mitigation method (M0). The technique, tiled M0, leverages the unique structure of tiled Ansätze (e.g., tUPS, QNP, and hardware-efficient circuits) to apply a locality approximation to M0 that results in an exponential reduction in the QPU cost of the noise characterization. We validate the technique for molecular ground-state energy calculations with the tUPS Ansatz on LiH, H2, H2O, butadiene, and benzene (4-12 qubits), demonstrating little to no loss in accuracy compared to M0 in noisy simulations. We also show the performance of the technique in quantum experiments, highlighting its potential use in near-term applications.
推导了非线性光子晶体线缺陷波导中抽运光群速度与光参量放大增益的理论模 型. 理论结果表明, 慢光抽运可以增强光参量放大效应. 为获得相同的增益, 当波导长度不变时, 慢光波导所需的抽运光功率可以减少为普通波导的(vgn/c)2; 当抽运光功率不变时, 慢光波导所需的长度可以减少为普通波导的(vgn/c)2, 其中n为普通波导的材料折射率, vg为慢光波导的群速度, c为真空中的光速. 数值计算结果验证了我们的理论预测.