因果第一性原理与最小因果单元(系列1·基础篇)·V3

方栋刘

Published Jun 25, 2026• 0 citations

Abstract

本文为《因果第一性原理与最小因果单元(基础篇)》的进一步修订版,前版DOI:10.5281/zenodo.20838455。针对广义相对论与量子力学底层本体矛盾,本文提出因果第一性原理,定义最小因果单元(MCU)为不可逆量子坍缩事件,构造统一开闭系统的因果希尔伯特空间,引入因果固定度α刻画量子-经典连续过渡。利用因果冯·诺伊曼熵与系统互信息给出MCU生成完备判据,建立w(α)=w₀α幂次型因果流体状态方程,明确Δᵢⱼ拓扑非正交修正、δα多体系统偏差约束。本框架不改动薛定谔方程固有么正演化形式,仅补充独立于么正动力学的MCU不可逆拓扑锁定跃迁机制,与GRW、彭罗斯主动修正动力学类坍缩模型形成本质区分,同时补充因果集缺失的微观量子动力学。文中提出五组超导、线性光学可量化证伪实验预言,统一解读延迟选择、量子擦除等量子悖论,为量子引力底层本体约束提供全新定量分析范式。本文为系列理论基础篇,全域动力学、惠勒-德维特方程完整推导归入配套《延展篇》《引力专篇》,不再独立撰写数学专题文稿。

DOI: 10.5281/zenodo.20839140

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因果第一性原理与最小因果单元(系列1·基础篇)·V3

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Published Jun 25, 2026• 0 citations

Publisher

Abstract

DOI: 10.5281/zenodo.20839140

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Denis Bernard

Building on the OCU-IPC framework (V3, Zenodo DOI: 10.5281/zenodo.19441390), we demonstrate that a single integer parameter α = 26 — coinciding with the critical dimension of bosonic string theory — determines a cascade of fundamental constants through information-theoretic optimization. The central equation Ṡ = ΔS·Θ/τ (derived as the unique gradient flow from three axioms) yields a communication threshold N_c ≈ 199 via the transcendental equation N_c = α·log₂(N_c+1). From α and N_c alone, we derive: (i) the fine-structure constant, 1/α_em = α·ln(N_c) − γ = 137.007 (0.02% accuracy); (ii) the proton-to-Planck mass ratio, ln(m_P/m_p) = 2(α − 4) = 44 (0.03% on logarithm); (iii) a qualitative hierarchy of all four fundamental forces via α_force = 1/(α·ln(N_eff)); (iv) the third law of thermodynamics from Θ(N=1) = 0 exactly; (v) the baryonic asymmetry η = 1/N_c⁴ = 6.42 × 10⁻¹⁰ (5% accuracy), linking matter-antimatter asymmetry to the dimensionality of spacetime via D = −ln(η)/ln(N_c) = 4.009. Combined with V3 results (4 anomalies resolved, 8σ consilience), the framework yields 19 testable predictions and reduces the 25+ free parameters of the Standard Model to one integer. Version 5 — April 2026 Author: Denis BERNARD Contact: phyborder838@gmail.com Keywords: quantum gravity, fine-structure constant, proton mass, hierarchy problem, gradient flow, computational optimization, information channel capacity, Euler-Mascheroni constant, bosonic string theory, baryonic asymmetry, third law of thermodynamics, consilienceBuilding on the OCU-IPC framework (V3, Zenodo DOI: 10.5281/zenodo.19441390), we demonstrate that a single integer parameter α = 26 — coinciding with the critical dimension of bosonic string theory — determines a cascade of fundamental constants through information-theoretic optimization. The central equation Ṡ = ΔS·Θ/τ (derived as the unique gradient flow from three axioms) yields a communication threshold N_c ≈ 199 via the transcendental equation N_c = α·log₂(N_c+1). From α and N_c alone, we derive: (i) the fine-structure constant, 1/α_em = α·ln(N_c) − γ = 137.007 (0.02% accuracy); (ii) the proton-to-Planck mass ratio, ln(m_P/m_p) = 2(α − 4) = 44 (0.03% on logarithm); (iii) a qualitative hierarchy of all four fundamental forces via α_force = 1/(α·ln(N_eff)); (iv) the third law of thermodynamics from Θ(N=1) = 0 exactly; (v) the baryonic asymmetry η = 1/N_c⁴ = 6.42 × 10⁻¹⁰ (5% accuracy), linking matter-antimatter asymmetry to the dimensionality of spacetime via D = −ln(η)/ln(N_c) = 4.009. Combined with V3 results (4 anomalies resolved, 8σ consilience), the framework yields 19 testable predictions and reduces the 25+ free parameters of the Standard Model to one integer. Version 5 — April 2026 Author: Denis BERNARD Contact: phyborder838@gmail.com Keywords: quantum gravity, fine-structure constant, proton mass, hierarchy problem, gradient flow, computational optimization, information channel capacity, Euler-Mascheroni constant, bosonic string theory, baryonic asymmetry, third law of thermodynamics, consilience

Apr 6, 20261 citation

Magnetic susceptibility and the Landau Fermi-liquid parameter of the Hubbard model and the three-band CuO2 model

Hiroyuki Kaga, Taiichirou Saikawa, Chihiro Ohmori

Magnetic susceptibilities of interacting (d) electrons in the Hubbard model and the three-band ${\mathrm{CuO}}_{2}$ model are worked out within the Gaussian fluctuations of the functional integral in the slave boson representation. The normalized Landau Fermi-liquid parameter | ${\mathit{F}}_{0}^{\mathit{a}}$ |/\ensuremath{\alpha} (\ensuremath{\alpha}\ensuremath{\equiv} ${\mathit{W}}_{0}$ ${\mathit{N}}_{\mathit{F}}^{0}$ , ${\mathit{N}}_{\mathit{F}}^{0}$ the density of states at the Fermi level, and ${\mathit{W}}_{0}$ the bare bandwidth) defined from the susceptibility expression is investigated for the two models as functions of Coulomb repulsion U, charge-transfer energy \ensuremath{\Delta}, and doping concentration \ensuremath{\delta}. It is shown that the Landau parameter for the three-band model is larger and exhibits different renormalization behaviors than that for the Hubbard model in both the weak- and strong-coupling regimes except in the Mott-Hubbard weak-coupling regime, where it takes the same random-phase approximation form U/ ${\mathit{W}}_{0}$ as the latter. The reasons for these results are analyzed. The slave-boson Landau parameter for the Hubbard model exactly reproduces the T-matrix expression | ${\mathit{F}}_{0}^{\mathit{a}}$ |/\ensuremath{\alpha}=U/ ${\mathit{W}}_{0}$ /(1+U/ ${\mathit{W}}_{0}$ ) in the low-density limit, whose renormalization has the different origin from that in the dilutely doped regime. \textcopyright{} 1996 The American Physical Society.Magnetic susceptibilities of interacting (d) electrons in the Hubbard model and the three-band ${\mathrm{CuO}}_{2}$ model are worked out within the Gaussian fluctuations of the functional integral in the slave boson representation. The normalized Landau Fermi-liquid parameter |${\mathit{F}}_{0}^{\mathit{a}}$|/\ensuremath{\alpha} (\ensuremath{\alpha}\ensuremath{\equiv}${\mathit{W}}_{0}$${\mathit{N}}_{\mathit{F}}^{0}$, ${\mathit{N}}_{\mathit{F}}^{0}$ the density of states at the Fermi level, and ${\mathit{W}}_{0}$ the bare bandwidth) defined from the susceptibility expression is investigated for the two models as functions of Coulomb repulsion U, charge-transfer energy \ensuremath{\Delta}, and doping concentration \ensuremath{\delta}. It is shown that the Landau parameter for the three-band model is larger and exhibits different renormalization behaviors than that for the Hubbard model in both the weak- and strong-coupling regimes except in the Mott-Hubbard weak-coupling regime, where it takes the same random-phase approximation form U/${\mathit{W}}_{0}$ as the latter. The reasons for these results are analyzed. The slave-boson Landau parameter for the Hubbard model exactly reproduces the T-matrix expression |${\mathit{F}}_{0}^{\mathit{a}}$|/\ensuremath{\alpha}=U/${\mathit{W}}_{0}$/(1+U/${\mathit{W}}_{0}$) in the low-density limit, whose renormalization has the different origin from that in the dilutely doped regime. \textcopyright{} 1996 The American Physical Society.

Physical review. B, Condensed matterJul 1, 19961 citation

基于粒子伴随驻波场的双缝干涉微观机制假说:波粒二象性的经典统一解释

Jingyuan Guo

电子与中性粒子双缝干涉实验是量子力学的核心奠基实验,但其 “波粒二象性” 物理图像长期存在直观性缺失的问题:哥本哈根诠释将粒子描述为 “既是粒子又是波”“观测导致坍缩”,缺乏经典力学层面的可理解机制。本文基于大小以太双介质模型,提出一套完全经典的双缝干涉微观机制假说。假说认为:质子、电子等基本粒子具有宇宙统一的固有高频径向呼吸振动,会在周围小以太介质中激发球形驻波伴随场,其波长严格满足德布罗意关系,是一种实在的介质波动而非概率波。该机制同样适用于中性原子、分子等复合粒子:中性粒子远场电场虽因相位抵消而消失,但近域因正负电荷空间分布不重合,仍存在残留的驻波伴随场,且原子尺度越大、电荷分离度越高,残留场的有效范围越大。双缝干涉过程中,弥散的伴随驻波场先于粒子实体到达双缝,首先与缝壁的表面驻波过渡层发生场 - 场耦合作用,同时穿过两条缝并发生相干叠加,在缝后形成周期性的干涉压强场;粒子作为实体每次仅穿过单条缝,其运动方向完全由自身伴随场与空间干涉场的相互作用决定;大量粒子的偏转角度统计分布,最终在接收屏上形成明暗相间的干涉条纹。该机制无需引入 “波粒二象性”“概率坍缩”“非定域性” 等非经典概念,可统一解释单电子干涉、观测消相干、延迟选择等所有核心实验现象,且与大小以太统一场论的粒子振动、驻波慢化、近场作用等核心公设完全自洽。本文提出一项最简强判决性实验方案:单缝入射干涉实验,可直接检验波与粒子是否为独立物理实在,为量子现象的经典回归提供可验证的研究路径。电子与中性粒子双缝干涉实验是量子力学的核心奠基实验,但其 “波粒二象性” 物理图像长期存在直观性缺失的问题:哥本哈根诠释将粒子描述为 “既是粒子又是波”“观测导致坍缩”,缺乏经典力学层面的可理解机制。本文基于大小以太双介质模型,提出一套完全经典的双缝干涉微观机制假说。假说认为:质子、电子等基本粒子具有宇宙统一的固有高频径向呼吸振动,会在周围小以太介质中激发球形驻波伴随场,其波长严格满足德布罗意关系,是一种实在的介质波动而非概率波。该机制同样适用于中性原子、分子等复合粒子:中性粒子远场电场虽因相位抵消而消失,但近域因正负电荷空间分布不重合,仍存在残留的驻波伴随场,且原子尺度越大、电荷分离度越高,残留场的有效范围越大。双缝干涉过程中,弥散的伴随驻波场先于粒子实体到达双缝,首先与缝壁的表面驻波过渡层发生场 - 场耦合作用,同时穿过两条缝并发生相干叠加,在缝后形成周期性的干涉压强场;粒子作为实体每次仅穿过单条缝,其运动方向完全由自身伴随场与空间干涉场的相互作用决定;大量粒子的偏转角度统计分布,最终在接收屏上形成明暗相间的干涉条纹。该机制无需引入 “波粒二象性”“概率坍缩”“非定域性” 等非经典概念,可统一解释单电子干涉、观测消相干、延迟选择等所有核心实验现象,且与大小以太统一场论的粒子振动、驻波慢化、近场作用等核心公设完全自洽。本文提出一项最简强判决性实验方案:单缝入射干涉实验,可直接检验波与粒子是否为独立物理实在,为量子现象的经典回归提供可验证的研究路径。

Jun 24, 20260 citations

Magnetic susceptibilities of interacting (d) electrons in the Hubbard model and the three-band

{\mathrm{CuO}}_{2}

model are worked out within the Gaussian fluctuations of the functional integral in the slave boson representation. The normalized Landau Fermi-liquid parameter |

{\mathit{F}}_{0}^{\mathit{a}}

|/\ensuremath{\alpha} (\ensuremath{\alpha}\ensuremath{\equiv}

{\mathit{W}}_{0}

{\mathit{N}}_{\mathit{F}}^{0}

{\mathit{N}}_{\mathit{F}}^{0}

the density of states at the Fermi level, and

{\mathit{W}}_{0}

the bare bandwidth) defined from the susceptibility expression is investigated for the two models as functions of Coulomb repulsion U, charge-transfer energy \ensuremath{\Delta}, and doping concentration \ensuremath{\delta}. It is shown that the Landau parameter for the three-band model is larger and exhibits different renormalization behaviors than that for the Hubbard model in both the weak- and strong-coupling regimes except in the Mott-Hubbard weak-coupling regime, where it takes the same random-phase approximation form U/

{\mathit{W}}_{0}

as the latter. The reasons for these results are analyzed. The slave-boson Landau parameter for the Hubbard model exactly reproduces the T-matrix expression |

{\mathit{F}}_{0}^{\mathit{a}}

|/\ensuremath{\alpha}=U/

{\mathit{W}}_{0}

/(1+U/

{\mathit{W}}_{0}

) in the low-density limit, whose renormalization has the different origin from that in the dilutely doped regime. \textcopyright{} 1996 The American Physical Society.