Infinity exists as a physical property in the real world.
the verdict
REFUTED
the evidence says no
refutedsupported
the weight of evidence
1 source for · 1 against
Some theoretical physics and set-theory literature propose that infinity exists as an attribute of fundamental primordial energy, while alternative physical constructivist frameworks argue that completed infinities cannot physically exist since all physical processes are finite.
Abstract Modern physics faces four core dilemmas—quantum–gravity incompatibility, the unknown nature of dark matter and dark energy, the quantum measurement problem, and the ontological omission of consciousness—whose root cause lies in the dual presuppositions of substance ontology and a priori spacetime causality. This paper proposes a universal unified physical framework grounded in Pure Relational Ontology, taking Primordial Energy as the sole reality and thereby completely breaking those presuppositions. Primordial Energy is constituted by five inherent attributes: Emptiness, Infinity, Absolute Relativity, Probability, and Intrinsic Real-Time Change. It has neither maximum nor minimum size, infinitely extendable yet infinitely self-contained; its mode of existence is a dynamic relational network that neither increases nor decreases and flows eternally. The theory's core findings can be condensed into four propositions: First, the sole reality and first origin of the universe is Primordial Energy, possessing the five attributes of Emptiness, Infinity, Real-Time Change, Probability, and Absolute Relativity. It has neither maximum nor minimum size, infinitely extendable yet infinitely self-contained; its essence and operational law is a dynamic relational network that neither increases nor decreases and flows eternally. Second, all observable physical phenomena, all things, and all existing scientific theories are not absolute truths but are relative and subject to change.
Zermelo-Fraenkel set theory with the axiom of choice (ZFC) is the axiomatic foundation of virtually all modern mathematics. This paper argues that ZFC is refuted by the physical construction criterion: a mathematical object exists if and only if it is constructed by a finite physical process. The argument does not rest on a competing mathematical intuition or a preference for the finite. It rests on a necessary consequence of the Minimally Physically Derivable Theories (MPDT) metatheory and its instantiation in Quantum-Geometry Dynamics (QGD): space is constituted by a finite discrete structure of preons(−), and every physical process is bounded by finite resources. Since every mathematical construction is a physical process, and every physical process is finite, no completed infinite mathematical object can exist. Nine of ZFC's ten axioms describe physically executable operations on finite sets and survive intact under this criterion: Extensionality, Empty Set, Pairing, Union, Power Set, Separation, and Replacement are all valid for finite inputs with finitely decidable or computable conditions. Regularity is redundant — it is a theorem of the resulting theory rather than an independent axiom. One axiom — the Axiom of Infinity — asserts the existence of a completed infinite set without construction. Since no finite physical process can produce a completed infinite totality, the Axiom of Infinity is not false but empty: it asserts the existence of an object that cannot in pri