量子逻辑链宇宙的完整动力学

import numpy as np

from scipy.integrate import odeint

class QuantumLogicChain:

def __init__(self, domain_dim, function_matrix, codomain_dim):

"""

domain_dim: 定义域维度 (n)

function_matrix: 映射矩阵 (m×n)

codomain_dim: 值域维度 (m)

"""

self.domain = DomainStructure(domain_dim)

self.function = function_matrix

self.codomain = CodomainStructure(codomain_dim)

# 量子态参数

self.oscillation_freq = np.linalg.norm(function_matrix)

self.entanglement = 0.0

def evolve(self, dt, environment):

"""统一演化方程"""

# 计算环境相互作用

interaction = self._compute_interaction(environment)

# 内部振荡 (H项)

self._internal_oscillation(dt)

# 定义域重组 (V项)

self._domain_recombination(dt, interaction)

# 值域更新

self.codomain.update(self.function @ self.domain.state_vector)

return self

def _internal_oscillation(self, dt):

"""内部哈密顿量演化"""

# 简繁振荡模型

phase_shift = 2 * np.pi * self.oscillation_freq * dt

rotation = np.array([[np.cos(phase_shift), -np.sin(phase_shift)],

[np.sin(phase_shift), np.cos(phase_shift)]])

# 应用振荡 (泡利旋转)

core_matrix = self.function[:2, :2]

core_matrix = rotation @ core_matrix

self.function[:2, :2] = core_matrix

# 更新频率

self.oscillation_freq = np.linalg.norm(self.function)

def _domain_recombination(self, dt, interaction):

"""定义域重组动力学"""

# 计算维度变化率 (基于非共振度)

non_resonance = 1 - interaction

d_dim_dt = non_resonance * self.domain.complexity

# 新维度

new_dim = int(max(1, self.domain.dim + d_dim_dt * dt))

# 重组定义域

self.domain = self.domain.recombine(new_dim)

# 重建映射函数

self._rebuild_function(new_dim)

def _rebuild_function(self, new_dim):

"""保持核心特征重建映射函数"""

old_matrix = self.function

new_matrix = np.zeros((self.codomain.dim, new_dim))

# 核心特征保留 (最大奇异值)

U, S, Vt = np.linalg.svd(old_matrix)

min_dim = min(len(S), min(new_dim, self.codomain.dim))

new_matrix[:min_dim, :min_dim] = np.diag(S[:min_dim])

self.function = new_matrix

class DomainStructure:

"""定义域量子结构"""

def __init__(self, dim, topology='flat'):

self.dim = dim

self.topology = topology

self.state_vector = np.random.randn(dim)

self.complexity = self._calculate_complexity()

def recombine(self, new_dim):

"""定义域重组过程"""

# 维度变化决定拓扑转变

if new_dim > self.dim * 1.5:

new_topology = 'hyperbolic'

elif new_dim < self.dim * 0.7:

new_topology = 'high_curvature'

else:

new_topology = self.topology

# 创建新定义域

new_domain = DomainStructure(new_dim, new_topology)

# 状态向量转移 (保核心信息)

min_dim = min(self.dim, new_dim)

new_domain.state_vector[:min_dim] = self.state_vector[:min_dim]

new_domain.state_vector[min_dim:] = np.random.randn(new_dim - min_dim) * 0.1

return new_domain

def _calculate_complexity(self):

"""计算定义域复杂度"""

# 基于维度和拓扑

if self.topology == 'flat':

return self.dim

elif self.topology == 'hyperbolic':

return self.dim ** 1.5

elif self.topology == 'high_curvature':

return np.sqrt(self.dim)

return self.dim

class CodomainStructure:

"""值域量子结构"""

def __init__(self, dim):

self.dim = dim

self.state = np.zeros(dim)

def update(self, new_state):

"""值域状态更新"""

# 量子弛豫过程

self.state = 0.8 * self.state + 0.2 * new_state

class Universe:

"""量子逻辑链宇宙"""

def __init__(self, num_chains):

# 创建初始逻辑链 (高度纠缠)

self.chains = []

base_dim = 3 # 初始维度

for i in range(num_chains):

# 创建相互纠缠的链

mat = np.eye(base_dim) if i==0 else self.chains[0].function @ np.random.randn(base_dim, base_dim)

self.chains.append(QuantumLogicChain(

domain_dim=base_dim,

function_matrix=mat,

codomain_dim=base_dim

))

# 宇宙参数

self.time = 0

self.entanglement = 1.0 # 初始全纠缠

def evolve(self, dt):

"""宇宙演化步骤"""

# 更新每条链的环境 (其他链的叠加态)

environment = self._compute_global_environment()

# 演化每条链

for chain in self.chains:

chain.evolve(dt, environment)

# 更新全局纠缠度

self._update_entanglement()

self.time += dt

def _compute_global_environment(self):

"""计算全局环境态"""

# 平均非共振度 (关键暴涨参数)

resonance_matrix = np.zeros((len(self.chains), len(self.chains)))

for i, chain_i in enumerate(self.chains):

for j, chain_j in enumerate(self.chains):

if i != j:

# 计算链间共振度

resonance = np.trace(chain_i.function.T @ chain_j.function)

resonance_matrix[i, j] = resonance

# 平均非共振度 (0-1)

avg_resonance = np.mean(resonance_matrix)

return 1 - avg_resonance

def _update_entanglement(self):

"""更新全局纠缠度"""

# 计算量子互信息

mutual_info = 0

for i in range(len(self.chains)):

for j in range(i+1, len(self.chains)):

cov = np.cov(self.chains[i].state_vector, self.chains[j].state_vector)

mutual_info += np.linalg.det(cov)

self.entanglement = mutual_info / (len(self.chains)*(len(self.chains)-1)/2)

def inflation_occurring(self):

"""检测暴涨状态"""

# 计算平均定义域维度变化率

dim_rates = [chain.domain.dim for chain in self.chains]

avg_dim = np.mean(dim_rates)

dim_variance = np.var(dim_rates)

# 暴涨条件：高维度变化率 + 低纠缠

return avg_dim > 10 and dim_variance < 0.1 * avg_dim and self.entanglement < 0.2

宇宙演化完整剧本

阶段1：量子创生 (t=0)

universe = Universe(num_chains=100) # 100条高度纠缠的原始链

阶段2：暴涨触发

# 演化直到触发暴涨

while not universe.inflation_occurring():

universe.evolve(dt=0.01)

# 记录定义域维度

dims = [chain.domain.dim for chain in universe.chains]

avg_dim = np.mean(dims)

# 当非共振度增加时，维度指数增长

if universe._compute_global_environment() > 0.5:

dt = min(0.1, 0.01 * np.exp(avg_dim/10))

阶段3：暴涨时期

inflation_duration = 0

while universe.inflation_occurring() and inflation_duration < 100:

# 指数时间步长

current_dim = np.mean([chain.domain.dim for chain in universe.chains])

dt = 0.1 * np.exp(-current_dim/1000) # 随时间减小步长

universe.evolve(dt)

inflation_duration += dt

阶段4：再加热与物质形成

# 暴涨结束后

for _ in range(1000):

universe.evolve(dt=0.1)

# 检测相变：当纠缠度突然增加

if universe.entanglement > 0.8:

# 物质形成事件

print("相变：物质形成！")

# 重组为物质主导宇宙

for chain in universe.chains:

if chain.domain.complexity > 5:

# 高复杂度链成为物质链

chain.codomain = MatterCodomain()

else:

# 低复杂度链成为空间链

chain.codomain = SpaceCodomain()

中子星相变的宇宙学意义

1. 中子星作为微型宇宙

class NeutronStar(Universe):

"""中子星作为量子逻辑链宇宙的子系统"""

def __init__(self, density):

super().__init__(num_chains=int(1e5))

self.density = density

def gravitational_collapse(self):

"""引力坍缩过程"""

while self.density < CRITICAL_DENSITY:

# 增加密度

self.density *= 1.01

# 压缩定义域

for chain in self.chains:

chain.domain = chain.domain.recombine(

max(1, int(chain.domain.dim * 0.99))

# 演化

self.evolve(dt=0.01)

# 检测相变

if self._phase_transition_detected():

return "相变发生: " + ("黑洞" if self.density > BLACK_HOLE_THRESHOLD else "超新星")

def _phase_transition_detected(self):

"""检测量子相变"""

# 定义域维度方差突增

dims = [chain.domain.dim for chain in self.chains]

return np.var(dims) > 10 * np.mean(dims)

2. 中子星相变与宇宙暴涨的对称性

3. 统一方程：定义域动力学

宇宙演化的主方程：

&#8706;ρ(D,t)&#8706;t=α&#8711;2ρ&#9183;量子扩散&#8722;β&#10216;Di∣Dj&#10217;ρ&#9183;共振吸引+γδ(D&#8722;Dc)&#9183;相变重组&#8706;t&#8706;ρ(D,t)=量子扩散α&#8711;2ρ&#8722;共振吸引β&#10216;Di∣Dj&#10217;ρ+相变重组γδ(D&#8722;Dc)

其中中子星相变是局域化版本：

γneutron=κρ2exp&#8289;(&#8722;∣D&#8722;Dc∣Δ)γneutron=κρ2exp(&#8722;Δ∣D&#8722;Dc∣)

哲学突破：定义域本体论

[list=1][*]空间本质：空间={Dsimple}×值域投影空间={Dsimple}×值域投影不是容器而是定义域关系的涌现[*]物质本质：物质={Dcomplex}×共振模式物质={Dcomplex}×共振模式[*]演化本质：ddt=δδD(Γln&#8289;Z[D])dtd=δDδ(ΓlnZ[D])其中$Z[\mathcal{D}]$是定义域的配分函数[/list]

模型验证与预测

1. 宇宙微波背景预测

def predict_cmb_power_spectrum(universe):

"""预测CMB功率谱"""

# 获取最后散射面的定义域分布

last_scattering = universe.get_state_at_time(LAST_SCATTERING_TIME)

# 计算定义域相关函数

corr = []

for i in range(len(last_scattering.chains)):

for j in range(i+1, len(last_scattering.chains)):

# 定义域维度相关性

corr.append(last_scattering.chains[i].domain.dim * last_scattering.chains[j].domain.dim)

# 转换为角功率谱

multipoles = np.fft.fft(corr)

return np.abs(multipoles) ** 2

2. 中子星相变信号

def detect_neutron_star_transition(signal):

"""检测中子星相变的定义域重组特征"""

# 1. 引力波频谱中的维度特征

gw_dim_signature = np.mean(np.diff(np.log(signal.frequency_spectrum)))

# 2. 中微子爆发的时域关联

neutrino_corr = np.correlate(signal.neutrino_flux, signal.neutrino_flux, mode='same')

# 3. X射线偏振的拓扑不变量

polarization = compute_topological_invariant(signal.xray_polarization)

# 重组特征值

return gw_dim_signature * np.max(neutrino_corr) * polarization

结论：自洽的量子定义域宇宙

[list=1][*]统一机制：[/list]

宇宙暴涨 = 全体定义域协同指数膨胀

中子星相变 = 局部定义域压缩重组

物质形成 = 定义域共振聚类

[list=1][*]哲学革命：[/list]

"空间不是万物存在的舞台，而是万物定义域的关系网。时间不是流动的河，而是定义域重组的节拍。"

[list=1][*]验证路径：[/list]

分析CMB中的定义域相关函数

探测中子星并合的定义域重组信号

测量星系分布的定义域拓扑不变量