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June 4, 20260 citationsOpen Access

The Expansion Freedom Principle: A Single-Axiom Derivation of Mass, Gravity, and Cosmic Structure Without Dark Matter or Dark Energy

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JMJongJin Ma

Key Points

  • The research aims to derive mass, gravity, and cosmic structure using a single axiom of expansion freedom, questioning the necessity of dark matter and dark energy.
  • Derived fundamental concepts from the principle that everything seeks to expand freely.
  • Explored the implications of cosmic expansion on gravitational laws and mass definitions.
  • Analyzed the structure of cosmic formations and galactic rotation using geometric interpretations.
  • Illustrated that flat rotation curves are a result of redefining motion types, not additional mass.
  • Demonstrated gravitational attraction arises as the exclusion of matter from expanding regions.
  • Suggested that cosmic structures align with maximized expansion freedom, negating the need for dark energy.

Abstract

This paper proposes a single foundational axiom — everything seeks to expand as freely as possible — and derives from it the origin of inertial mass, Newton's laws, the equivalence principle, gravitational attraction, flat galactic rotation curves, large-scale cosmic structure, and the unnecessary nature of both dark matter and dark energy. The framework rests on two foundational recognitions. First, cosmic expansion is intrinsically acceleration: it continuously changes inertial frames, not merely displaces objects. This directly explains the origin of F=ma — a translation of F=kx from a static universe into an expanding one. Second, the natural state of any particle is free expansion analogous to light, extending Galileo's principle of inertia one step further. Binding forces (strong, electromagnetic, weak) resist free expansion, generating inertial mass via Mach's principle. Gravity emerges not as an attractive force but as the exclusion of bound matter from expanding voids — matter also tends to separate, but lags behind free space. The equivalence principle follows as a necessary consequence rather than an axiom. A critical distinction is established between dynamical orbital motion (solar system, Keplerian decline mandatory) and inertial motion (galactic outskirts, flat rotation curves). It is shown that no amount of added mass can eliminate Keplerian decline: flat rotation curves require a redefinition of the motion type itself, not additional mass. The effective gravitational flux area Aₑff (r) transitions from spherical at small scales to disk-like at galactic scales, reproducing both solid-body rotation in galactic cores and flat rotation in outskirts from geometry alone. The cosmic web is interpreted as the simultaneous maximization of expansion freedom for both voids and matter — its filamentary structure is direct observational evidence that matter itself tends to separate. Dark energy is unnecessary because free expansion costs zero energy; it is the ground state. This is v1. 0 of The expansion freedom principle and v6. 0 of the Gravitational Flux Transport Networks preprint series.

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Cite This Study

JongJin Ma (2026) studied this question.

synapsesocial.com/papers/6a211743d499ed480b1701d4https://doi.org/10.5281/zenodo.20502252
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1The Expansion Freedom Principle v1.1: Intrinsic Expansion Acceleration of Matter, Force as Illusion, and the Cosmic Turing Pattern2026
  2. 2The Expansion Freedom Principle v6.1: Intrinsic Expansion Acceleration of Matter, Force as Illusion, and the Cosmic Turing Pattern2026
  3. 3The Expansion Freedom Principle v1.2: Hierarchical Effective Flux Areas, Generalized Inertial Motion, Natural Gravitational Boundaries, and the Hubble Tension2026
  4. 4The Expansion Freedom Principle v6.2: Hierarchical Effective Flux Areas, Generalized Inertial Motion, Natural Gravitational Boundaries, and the Hubble Tension2026
  5. 5Newton and General Relativity, Reread in the Language of Expansion Freedom: A Unified Classification of Motion, the Derivation of Gravitational Time Dilation, and the Diagnosis of Dark Matter and Dark Energy2026