The Origin of Time, Causality, Poincaré Recurrence and the Global Computational Paradox under Discrete Lattice Dynamics First-Principles Derivation and Logical Closed Loop Based on the Real-Virtual Dual Field Theory

Abstract

Abstract Based on the core axiom system of the Real-Virtual Dual Field Theory and taking the three-dimensional discrete virtual field lattice as the sole ontology of space, this paper redefines the dynamic essence of time from first principles, systematically explains the medium dynamic origin of causality, strictly proves the mathematical necessity of Poincaré recurrence in a closed lattice system, and quantitatively derives the material barrier of global microscopic simulation computing power and the endogenous paradox that "computational behavior disturbs causality". The research shows that: 1) Time is not an independent cosmic background dimension, but the interval difference of relative motion and deformation of virtual field lattices, and its flow rate is jointly determined by the intrinsic properties of the medium and the hierarchical scale; 2) The certainty of causality originates from the conservation of field states and the uniqueness of lattice evolution equations, and the irreversibility of causality is jointly guaranteed by three mechanisms: dissipation of intrinsic field resistance, chirality of global spin, and holographic entropy increase; 3) A closed finite lattice system naturally satisfies all premises of Poincaré recurrence, and the global state cycle is a mathematical necessity under finite combinations; 4) Limited by the storage and operation costs of lattice matter, the complete simulation of full-scale microscopic evolution has an insurmountable physical ceiling, and the computational behavior itself will intervene in the original causal chain as a field source, forming a self-consistent barrier that "precise calculation will inevitably lead to distortion". The whole paper constructs a complete logical closed loop from spatial ontology to time definition, from causal mechanism to cyclic inference, and from mathematical necessity to realistic constraints, adopting a pure real number geometric framework throughout without introducing complex numbers or extra-dimensional assumptions. Key words: Real-Virtual Dual Field Theory; discrete lattice; origin of time; causality; Poincaré recurrence; computational paradox; spacetime locking 摘要 本文基于实虚二元场论的核心公理体系,以三维离散虚场晶格为空间唯一本体,从第一性原理出发重新定义时间的动力学本质,系统阐释因果律的介质动力学根源,严格证明庞加莱回归在闭合晶格体系中的数学必然性,并定量推导全域微观模拟的算力物质壁垒与 “计算行为扰动因果” 的内生悖论。研究表明:1)时间并非独立的宇宙背景维度,而是虚场晶格相对运动与形变的间隔差值,其流速由介质本征属性与层级尺度共同决定;2)因果律的确定性源于场态守恒与晶格演化方程的唯一性,因果不可逆性由本源场阻耗散、全域自旋手性与全息熵增三重机制共同保障;3)自闭合有限晶格体系天然满足庞加莱回归的全部前提,全域状态循环是有限组合下的数学必然;4)受限于晶格物质的存储与运算开销,全尺度微观演化的完整模拟存在不可突破的物理天花板,且计算行为本身会作为场源介入原生因果链,形成 “精准计算必然失真” 的自洽性壁垒。全文构建了从空间本体到时间定义、从因果机制到循环推论、从数学必然到现实约束的完整逻辑闭环,全程采用纯实数几何框架,无需引入复数与额外高维假设。 关键词:实虚二元场论;离散晶格;时间本源;因果律;庞加莱回归;算力悖论;时空锁定 一、引言 时间与因果是物理学与哲学的核心基础命题。牛顿经典力学将时间视为绝对均匀流逝的背景维度,因果律表现为运动方程的时间反演对称;相对论将时空绑定为四维连续体,因果律受限于光速局域壁垒;量子力学则因波函数概率诠释,对微观因果的确定性提出了长期争议。与此同时,庞加莱回归定理作为统计力学的经典结论,预言封闭有限系统的状态必然循环复现,但其适用前提始终与真实宇宙的膨胀性、量子随机性存在张力,难以获得统一的本体论支撑。 现有理论体系普遍将时间作为先验给定的基本量,因果律依附于时间维度展开,导致时间的起源、因果的不可逆性、循环与熵增的矛盾始终无法在同一框架下自洽解释。另一方面,随着计算科学的发展,“宇宙可被完整模拟” 的猜想广泛传播,但模拟行为的物质成本与因果扰动效应,尚未从空间本体层面得到严格的定量论证。 本文基于实虚二元场论的离散晶格公理体系,以三维虚场晶格为唯一空间介质,将时间彻底消解为晶格运动的衍生量,从介质动力学角度重构因果律的物理内涵,证明庞加莱回归在闭合晶格宇宙中的必然性,并定量推导全域模拟的算力悖论与因果扰动机制。全文不引入复数、额外维度与概率性假设,全程依托纯实数几何与确定性动力学,形成从底层本体到宏观现象、从数学推论到现实约束的完整逻辑链条。