MOND Theory and Thermodynamics of Spacetime
arXiv:2510.14345 · doi:10.1016/j.dark.2025.101967
Abstract
Starting from the Modified Newtonian Dynamics (MOND) theory and using an inverse approach, we construct a general form of the entropy expression associated with the horizon based on the entropic nature of gravity. Using the thermodynamics-gravity correspondence in the cosmological setup, we apply the corrected entropy expression and find the modified Friedmann equation by three methods, namely, (i) the first law of thermodynamics, (ii) the entropic force scenario and (iii) the emergence nature of gravity. We confirm that our model guaranties the generalized second law of thermodynamics for the universe enveloped by the apparent horizon. Our studies reveal that the MOND theory of gravity may be naturally deduced from the modification of the horizon entropy. These results may fill in the gap in the literatures, understanding the theoretical origin of the MOND theory from thermodynamics-gravity conjecture.
arXiv comment20 pages
References in corpus (45)
- Thermodynamics of Spacetime: The Einstein Equation of State
- On the Origin of Gravity and the Laws of Newton
- Thermodynamical Aspects of Gravity: New insights
- First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe
- Unified first law of black-hole dynamics and relativistic thermodynamics
- Gravity and the Thermodynamics of Horizons
- Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
- Non-equilibrium Thermodynamics of Spacetime
- Cosmic Holography
- Friedmann Equations of FRW Universe in Scalar-tensor Gravity, f(R) Gravity and First Law of Thermodynamics
- Thermodynamic route to Field equations in Lanczos-Lovelock Gravity
- Modified Newtonian Dynamics in the Milky Way
- Dissipative hidden sector dark matter
- Dark energy and the generalized second law
- Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld
- Thermodynamics of an accelerated expanding universe
- Dynamic black-hole entropy
- Corrected Entropy-Area Relation and Modified Friedmann Equations
- Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld
- Friedmann Equations from Entropic Force
- Modified cosmology from extended entropy with varying exponent
- Early and late universe holographic cosmology from a new generalized entropy
- Thermodynamics of interacting holographic dark energy with apparent horizon as an IR cutoff
- Modified Friedmann Equations from Tsallis Entropy
- Thermodynamics of apparent horizon and modified Friedman equations
- Modified cosmology through spacetime thermodynamics and Barrow horizon entropy
- Entropic Corrections to Friedmann Equations
- Relating Friedmann equation to Cardy formula in universes with cosmological constant
- Insight into the baryon-gravity relation in galaxies
- The generalized second law of thermodynamics in the accelerating universe
- Generalized second law of thermodynamics in Gauss-Bonnet braneworld
- Barrow Entropy Corrections to Friedmann Equations
- Mimicking dark matter and dark energy in a mimetic model compatible with GW170817
- Recovering a MOND-like acceleration law in mimetic gravity
- Friedmann equations from emergence of cosmic space
- Emergence of Cosmic Space and the Generalized Holographic Equipartition
- Emergence of Space and Spacetime Dynamics of Friedmann-Robertson-Walker Universe
- Conservative entropic forces
- Modified cosmology through Barrow entropy
- New explanation for accelerated expansion and flat galactic rotation curves
- Primordial regular black holes as all the dark matter. II. Non-time-radial-symmetric and loop quantum gravity-inspired metrics
- Primordial regular black holes as all the dark matter. I. Time-radial-symmetric metrics
- Statistical approaches on the apparent horizon entropy and the generalized second law of thermodynamics
- Debye entropic force and modified Newtonian dynamics
- Einstein Equations and MOND Theory from Debye Entropic Gravity