The Bottled Water Paradox: Logical and Physical Challenges of Time Travel
Year: 2025
Type: article
Abstract: Time travel has long attracted debate in both physics and philosophy. The famous grandfather paradox highlights causal contradictions, but it remains largely a logical puzzle. This paper develops a layered argument: starting with an extended form of the grandfather paradox, then introducing the principle that any interaction with the past can disrupt reproduction by even one second, producing entirely different individuals, thus rendering all interactions forbidden unless the traveler was always part of history. Building on this foundation, we present a physical thought experiment—the Bottled Water Paradox. Unlike typical discussions where the traveler remains intact, here the traveler is a decomposable entity: a bottle of water from the year 2100 appearing in 2025. We analyze two scenarios: (i) the entire bottle is consumed, dispersing molecules into the environment; and (ii) an upgraded case where half the bottle is consumed and half deliberately sealed in a safe for 75 years, withheld from reassembly. For time travel to remain consistent, both portions must contribute to the identical bottle’s existence in 2100 so that it can return to 2025. This dual-sided requirement intensifies conflicts with quantum indeterminacy, thermodynamic irreversibility, conservation principles, and even human free will. We do not attempt a resolution; instead, we offer the Bottled Water Paradox as a test that any credible theory of time travel must confront. 时间旅行长期以来在物理学和哲学中都是争议话题。著名的祖父悖论揭示了因果律的矛盾,但主要停留在逻辑层面。本文提出一个逐层推进的论证:首先扩展祖父悖论,指出与过去的任何互动都可能仅因生殖行为的延迟或提前一秒,就导致完全不同的个体出生,因此除非旅行者一开始就是历史的一部分,否则一切互动都应被禁止。在此基础上,我们提出一个物理层面的思想实验——矿泉水悖论。与传统讨论中旅行者作为完整个体不同,这里旅行者被设定为一种“可分解的存在”:一瓶来自 2100 年的矿泉水出现在 2025 年。我们分析了两种情景:(i)整瓶水被饮用,分子散逸到环境中;(ii)升级版情景:一半水被喝掉,另一半被故意封存 75 年,不允许参与未来的重组。为了保持时间旅行的一致性,这两部分都必须在 2100 年重新组成完全相同的一瓶水,以便回到 2025 年。这一双重要求使问题进一步尖锐,挑战了量子不确定性、热力学不可逆性、守恒原理,甚至人类自由意志。本文不尝试给出解答,而是将矿泉水悖论作为一个检验:任何声称允许时间旅行的理论,都必须正面回应这一挑战。
Author: WU, Canpan
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7083837245
FWCI:
Cites:
Cited by:
Related to: