On the Origin of Gravity and the Laws of Newton

Abstract

Starting from first principles and general assumptions Newton's law of gravitation is shown to arise naturally and unavoidably in a theory in which space is emergent through a holographic scenario. Gravity is explained as an entropic force caused by changes in the information associated with the positions of material bodies. A relativistic generalization of the presented arguments directly leads to the Einstein equations. When space is emergent even Newton's law of inertia needs to be explained. The equivalence principle leads us to conclude that it is actually this law of inertia whose origin is entropic.

29 pages, 6 figures

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• Gravity as Quantum Entanglement Force
• Curved Backgrounds in Emergent Gravity
• Galaxy rotation curves and the deceleration parameter in weak gravity
• Squeezed gravitons from superradiant axion fields around rotating black holes
• Analysis of Tsallis' classical partition function's poles
• Big-Bang nucleosynthesis constraints on (dual) Kaniadakis cosmology
• f(R) Gravity and Maxwell Equations from the Holographic Principle
• Quantum response theory and momentum-space gravity
• Toward a Universal Theory of Stable Evolution
• Quantized Black Hole and Heun function
• The Pioneer anomaly and the holographic scenario
• Barrow Cosmology and Big-Bang Nucleosynthesis
• Entropic Gravity and Cosmology in Kaniadakis Statistics
• Modified Entropic Gravitation in Superconductors
• Consistency between dynamical and thermodynamical stabilities for perfect fluid in $f(R)$ theories
• de Sitter invariant special relativity and galaxy rotation curves
• Cosmological model based on both holographic-like connection and Padmanabhan's holographic equipartition law
• Quantum entanglement and Hawking temperature
• Horava-Lifshitz cosmology, entropic interpretation and quark-hadron phase transition
• Apparent Dark Matter Inspired by Einstein Equation of State
• Holographic dark information energy: Predicted dark energy measurement
• Chameleonic equivalence postulate and wave function collapse
• Radiation from charged particles due to explicit symmetry breaking in a gravitational field
• A covariant tapestry of linear GUP, metric-affine gravity, their Poincaré algebra and entropy bound
• Dynamics and the Emergence of Geometry in an Information Mesh
• Spacetime Geometry as Statistic Ensemble of Strings
• Thermodynamics for Kodama observer in general spherically symmetric spacetimes
• Emergent Gauge Fields
• Structural and Symmetry Analysis of Discrete Dynamical Systems
• On thermal force from holographic action
• Quantum features derived from the classical model of a bouncer-walker coupled to a zero-point field
• Maximally Symmetric Spacetimes emerging from thermodynamic fluctuations
• Verlinde gravity effects on the orbits of the planets and the Moon in the Solar System
• The multiple realizability of general relativity in quantum gravity
• Negative Newton constant may destroy some conjectures
• Towards an information description of space-time
• Structure of the equivalent Newtonian systems in MOND N-body simulations. Density profiles and the core-cusp problem
• Testing CCC+TL Cosmology with Galaxy Rotation Curves
• Surface gravity from tidal acceleration
• Analytical study of particle geodesics around a scale-dependent de Sitter black hole
• Thermodynamics as a tool for (quantum) gravitational dynamics
• Radial Oscillations and Dynamical Instability Analysis for Linear-Quadratic GUP-modified White Dwarfs
• The continuum limit of the modular discretization of AdS${}_2$
• The dynamics of spatially confined oscillations
• Making a Quantum Universe: Symmetry and Gravity
• The entropic force between two horizons of charged Gauss-Bonnet Black hole in de Sitter Spacetime
• Emergence of cosmic space and the maximization of horizon entropy
• A Note on the Entropy Force in Kinetic Theory and Black Holes
• Kaluza--Klein gravity & cosmology emerging from G. Perelman's entropy functionals and quantum geometric information flows
• Entropy of Self-Gravitating Anisotropic Matter
• On the Origin and Nature of Dark Matter
• Modified Gravity (MOG) and its test on galaxy clusters
• Scale Invariance at low accelerations (aka MOND) and the dynamical anomalies in the Universe
• Quantum walk on a spin network
• General proof of the entropy principle for self-gravitating fluid in f(R) Gravity
• Principle of maximum force and holographic principle: two principles or one?
• TFD Extension of Open String Field Theory
• The holographic quantum
• Minkowski Spacetime and QED from Ontology of Time
• Entropy bounds and field equations
• Statistical Mechanics of Phase-Space Curves
• Statistical Inference and String Theory
• Towards a quantum universe
• Fine tuning and MOND in a metamaterial multiverse
• On thermodynamics of compact objects
• Clocks and Relationalism in the Thermal Time Hypothesis
• Emergent gravity: From statistical point of view
• Models of Exotic Interferometer Cross-Correlations in Emergent Space-Time
• Emergent gravity in superplastic crystals
• Probing the Information-Probabilistic Description
• Entanglement for Quantum Hall states and a Generalized Chern-Simons Form
• Emergent quantum mechanics as a classical, irreversible thermodynamics
• Two-spinor geometry and gauge freedom
• Comment on "Inconsistencies in Verlinde's emergent gravity"
• Quasi-Normal Modes from Non-Commutative Matrix Dynamics
• Entropic gravity versus gravitational pseudotensors in static spherically symmetric spacetimes
• Fluctuation and Inertia
• On the holographic bound in Newtonian cosmology
• Thermodynamical features of Verlinde's approach for a non-commutative Schwarzschild-anti-deSitter black hole in a broad range of scales
• Towards a theory of machine learning
• The cosmological constant of emergent spacetime in the Newtonian approximation
• Quantum black holes as classical space factories
• Modified gravity/entropic gravity correspondence due to graviton mass
• Verlinde's emergent gravity in an $\mathbf{n}-$dimensional, non-additive Tsallis' scenario
• Reconstructions of Einstein-Aether Gravity from Barrow Agegraphic and New Barrow Agegraphic Dark Energy models: Examinations and Observational Limits
• Spectral Analysis of Quasinormal Modes of Planck Stars
• Gravitational entropy and thermodynamics away from the horizon
• Exponential correction to Friedmann equations
• $\Psi$-Epistemic Quantum Cosmology?
• Hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivial
• MOND Theory and Thermodynamics of Spacetime
• Field equations and particle motion in covariant emergent gravity
• Cosmological Constant from the Entropy Balance Condition
• Nonextensive statistics, entropic gravity and gravitational force in a non-integer dimensional space
• Gas Model of Gravitons with Light Speed
• Seeding the vacuum with entropy: the Chaplygin-like vacuum hypothesis
• Holographic equipartition from first order action
• Quasilocal Smarr relations for static black holes
• Yet More on the Universal Quantum Area Spectrum
• Einstein's equations and the pseudo-entropy of pseudo-Riemannian information manifolds
• Vacuum energy, the Casimir effect, and Newton's non-constant
• Thermodynamics of continua: the challenge of universality
• From spacetime thermodynamics to Weyl transverse gravity
• The Dark Components of the Universe Are Slowly Clarified
• Comments on the entropic gravity proposal
• Sakharov's induced gravity and the Poincaré gauge theory
• Analogy of QCD hadronization and Hawking-Unruh radiation at NICA
• On Planetary Orbits in Entropic Gravity
• Recovering General Relativity from a Planck scale discrete theory of quantum gravity
• Crossover in extended Newtonian gravity emerging from thermodynamics
• Numerically Investigating the Emergent Cyclic Inflation Scenario
• The isolated elliptical galaxy NGC 5812 -- MOND or Dark Matter?
• Gauge protected entanglement between gravity and matter
• A first order Tsallis theory
• A Statistical Derivation of Bekenstein-Hawking Entropy for Schwarzschild Black Holes
• Wheeler-DeWitt Equation in Five Dimensions and Modified QED
• $\mathcal{H}$olographic $\mathcal{N}$aturalness and Pre-Geometric Gravity
• Friedmann equations from GUP-modified equipartition law
• Klein Gordon particle near R-N black hole, generalized sl(2) algebra and harmonic oscillator energy
• Unification of Dark Matter and Dark Energy in a Modified Entropic Force Model
• Off-diagonal cosmological solutions in emergent gravity theories and Grigory Perelman entropy for geometric flows
• Deformed Quantum Field Theory, Thermodynamics at Low and High Energies, and Gravity. I
• Gravitational potential from maximum entropy principle
• Some Unique Constants Associated with Extremal Black Holes
• Emergent Quantumness in Neural Networks
• Holographic Cosmology from a System of M2-M5 Branes
• Spherical space in the Newtonian limit: The cosmological constant
• Smooth Entropy Transfer of Quantum Gravity Information Processing
• Effect of the field self-interaction of General Relativity on the Cosmic Microwave Background Anisotropies
• Quantum Entanglement Dynamics of Spacetime and Matter
• On the emergent origin of the inertial mass
• Modified gravity from an entropy functional
• Time dispersion in quantum electrodynamics
• Physical peculiarities of divergences emerging in q-deformed statistics
• Corrections to Bekenstein-Hawking entropy --- Quantum or not-so quantum?
• 3D Effects Of The Entropic Force
• Non-Affine Extensions of the Raychaudhuri Equation in the K-essence Framework
• q-Path entropy phenomenology for phase-space curves
• Statistical mechanics of covariant systems with multi-fingered time
• Stochastic motion of test particle implies that G varies with time
• Quark anti-quark entropic force and diffusion constant in a Yang-Mills like theory
• Graviton-Photon Oscillations as a Probe of Quantum Gravity
• Holographic thermodynamic relation for dissipative and non-dissipative universes in a flat FLRW cosmology
• Hydrostatic mass of galaxy clusters within some theories of gravity
• Model for common growth of supermassive black holes, bulges and globular star clusters: ripping off Jeans clusters
• Metamaterial model of tachyonic dark energy
• Emergent Dark Gravity from (Non)Holographic Screens
• Measurement of Neutron Whispering Gallery States Using a Pulsed Neutron Beam
• The Klein-Gordon equation in Machian model
• Eckart heat-flux applicability in $F(\Phi ,X)R$ theories and the existence of temperature gradients
• An entropic picture of emergent quantum mechanics
• Thermodynamical properties of nonsingular universe
• Topological Classification of a 4D AdS Black Hole with Non-Minimal Maxwell Coupling
• A Note on the Thermodynamical Origin of Gravity
• Implications of maximum acceleration on dynamics
• Elementary Particles as Gates for Universal Quantum Computation
• On the entropic nature of unified interactions
• Entropy theorems in classical mechanics, general relativity, and the gravitational two-body problem
• Dynamical behavior of the Universe: an entropic force scenario
• Modified Newtonian Dynamics as an entropic force
• Limiting the Yukawa Gravity through the Black Hole Shadows of Sgr A* and M87*
• Decoherence-Free Entropic Gravity for Dirac Fermion
• Single-molecule force spectroscopy with photoluminescent semiconducting polymers: Harnessing entropy
• Primordial black holes from collapsing antimatter
• AdS/CFT for Accelerator Physics or Building the Tower of Babel
• Realize Emergent Gravity to Generic Situations
• Schroedinger vs. Navier-Stokes
• Right about time?
• Towards the Laboratory Search for Space-Time Dissipation
• Phase transition and entropy force between two horizons in (n+2)-dimensional de Sitter space
• Quantum Theory as emergent from an undulatory translocal Sub-Quantum Level
• Anisotropic cosmology in $q$-deformed entropic gravity
• Lorentz gauge theory as a model of emergent gravity
• Quantum black holes as solvents
• Black Hole Motion in Entropic Reformulation of General Relativity
• Effect of strength of gravitational field on the rate of chemical reactions
• Thermodynamic Behavior of Statistical Event Counting in Time: Independent and Correlated Measurements
• Hyperbolic space in the Newtonian limit: the cosmological constant
• Recovering semiclassical Einstein's equation using generalized entropy
• Emergent gravity/Non-linear U(1) gauge theory correspondence
• Gravity as a thermodynamic phenomenon
• Phase transition and entropic force in Reissner-Nordström-de Sitter spacetime
• Conserved relativistic Ertel's current generating the vortical and thermodynamic aspects of spacetime
• Holographic Cosmology from BIonic Solutions
• A note on size-momentum correspondence and chaos
• Testing the Quantum of Entropy
• Finite Mathematics, Finite Quantum Theory and Applications to Gravity and Particle Theory
• Thermal width and entropic force of a moving quarkonia with charged deformed AdS background
• Cyclic Cosmology and Holographic Entanglement Entropy
• On the thermodynamic foundations of plasticity
• Surface tension of the horizon
• Linearized Einstein's Equation around pure BTZ from Entanglement Thermodynamics
• An Effective Cosmological Constant From an Entropic Formulation of Gravity
• Entropic force law in the presence of a noncommutative inspired spacetime for a solar system scale
• On the nature of quantum gravity
• Emergent GUP from Modified Hawking Radiation in Einstein-NED Theory
• Inertial force, Hawking Temperature and Quantum Statistics
• Quantum statistical gravity: time dilation due to local information in many-body quantum systems
• Depletion force between disordered linear macromolecules
• Entropy, Gravity and the Mass-Boom
• Black Hole Thermodynamics Based on Unitary Evolutions
• Supporting Abstract Relational Space-Time as Fundamental without Doctrinism against Emergence
• Emergent Dynamics of Spacetime and Matter from a Topological Phase
• Understanding Galaxy Rotation Curves with Verlinde's Emergent Gravity
• Entropic force for quantum particles
• A quantum theory of distance along a curve
• Quantum collapse as undecidable proposition in an Everettian multiverse
• Many body gravity and the galaxy rotation curves
• Testing of Dark Energy and a Solution of the Cosmological Constant Problem
• Current, quantum transport and entropic force of bosonic systems interacting with two thermal reservoirs
• Holographic Equipartition and Gravitational Collapse
• Thoughts on entropic gravity in the Parikh-Wilczek tunneling model of Hawking radiation
• Is the Universe Flat?
• Gravity from thermodynamics in vacuum: Lorentz invariance and the role of Bel-Robinson tensor
• Hawking temperature and the emergent cosmic space
• Mass-to-Horizon Relation and Entropy Beyond the Bekenstein-Hawking Limit
• Observational constraints on the modified cosmology inspired by string T-duality
• Constraining Zero-Point Length from Gravitational Baryogenesis
• Thermostatistical analysis and negative heat capacities of Yukawa and Lee-Wick potentials in noncommutative phase spaces
• Spherically symmetric black holes in Gravity from Entropy and spontaneous emission
• Zen and the Art of Space-Time Manufacturing
• The $\mu$-deformed Einstein field equations with $\mu$-dependent effective cosmological constant
• Generalized Brans-Dicke theory from Verlinde's entropic gravity
• Many body gravity and the bullet cluster
• Casimir Energy of the Universe and the Dark Energy Problem
• Intrinsic quantum dynamics of particles in brane gravity
• Universality of entropy principle for a general diffeomorphism-covariant purely gravitational theory
• Testing and Emulating Modified Gravity on Cosmological Scales
• An Entropy Equation for Energy
• Study of the Relativistic Dynamics of Extreme-Mass-Ratio Inspirals
• Gravitational thermodynamics and universal holographic duality in dynamical spacetimes
• An Entropic Force Schrödringer mechanism for Dark Matter generation
• Non-equilibrium thermodynamics and Newtonian gravitation
• From mindless mathematics to thinking meat?
• Holographic Entanglement Entropy in Cyclic Cosmology
• The Thales experiment
• On the dynamics of unobserved Universe
• Reducible Quantum Electrodynamics. III. The emergence of the Coulomb forces
• Towards an axiomatic noncommutative geometry of quantum space and time
• Gravity dual D3-braneworld and Open/Closed string duality
• Entropic force versus temperature force
• How is the Presence of Horizons and Localized Matter Encoded in the Entanglement Entropy?
• Thermodynamical properties of interacting holographic dark energy model with apparent horizon
• On the possible connection between inertia and intrinsic angular momenta and its consequences
• Considerations of Cosmic Acceleration
• GUP-corrected $\Lambda$CDM cosmology
• Stealth metastable state of scalar-tensor thermodynamics
• Thermodynamic Split Conjecture and an Observational Test for Cosmological Entropy
• New Approach to Cosmological Fluctuation using the Background Field Method and CMB Power Spectrum
• The Entropic Dynamics of Relativistic Quantum Fields in Curved Space-time
• Entanglement, Trace Anomaly and Confinement in QCD
• Phenomenology of Schwarzschild-like Black Holes with a Generalized Compton Wavelength
• Holst action and Dynamical Electroweak symmetry breaking
• Fluctuations and non-Gaussianity in de Sitter spacetime from holographic entanglement entropy
• Entropic magnetic interlayer coupling
• Gauge field theory without groups
• Axial Current, Killing Vector and Newtonian Gravity
• Emergent gravity from patterns in natural numbers
• Action in the Entropic Revolution of Newtonian Gravity
• Non-Cauchy surface foliations and their expected connection to quantum gravity theories
• The Formation of the Universe: Conjectures
• Entropy, topological theories and emergent quantum mechanics
• On the Unruh effect for hyperbolic observers in spacetimes of maximal proper acceleration
• Quantum Mesh Dynamics (QMD)
• Predictions of Entropic Gravity
• Coarse-graining of the Einstein-Hilbert Action rewritten by the Fisher information metric
• The Gravitational Memory of a Galaxy
• Spontaneous Symmetry Breaking Breaks Time-Reversal Symmetry
• Revisiting the two-body problem in Yukawa gravity and in a gravitational extension of the Buckingham potential
• Stimulated absorption of single gravitons: First light on quantum gravity
• Clifford Algebras, Multipartite Systems and Gauge Theory Gravity
• Semiclassical Length Measure from a Quantum-Gravity Wave Function
• Semantics of Information
• Beyond LCDM: Bits join the Dark Side
• Conformal Quivers and Melting Molecules
• Entropy Bound Derived from the New Thermodynamics on Holographic Screen
• Foundations for a theory of emergent quantum mechanics and emergent classical gravity
• Relativistic Thermodynamics, a Lagrangian Field Theory for general flows including rotation
• Thermal Time and Kepler's Second Law
• Hawking Radiation and Entropic Gravity
• Bousso's Covariant Entropy Bound and Padmanabhan's Emergent Universe
• Fluid Dynamics and Entropic Gravity
• An interpretive conjecture for physics beyond the standard models: generalized complementarity
• A testable prediction from entropic gravity
• Cosmology and Non-additive Entropy
• Qubits and STU Black Holes with Eight Electric and Magnetic Charges
• Lorentz and gauge invariance of quantum space
• On the Emergence of the Coulomb Forces in Quantum Electrodynamics
• A spacetime discretization and black holes properties in a holographic representation
• Decoherence limit of quantum systems obeying generalized uncertainty principle: new paradigm for Tsallis thermostatistics
• Emergent geometry through quantum entanglement in Matrix theories
• A Natural Introduction to Fine-Tuning
• Evolution of entropic dark energy and its phantom nature
• Analogue White Hole Horizon and its Impact on Sediment Transport
• On Non-Equilibrium Thermodynamics of Space-Time and Quantum Gravity
• Entropic Motion in Loop Quantum Gravity
• Statistical Mechanics Derived From Quantum Mechanics
• Minimal Length and the Existence of Some Infinitesimal Quantities in Quantum Theory and Gravity
• Emergent time axis from statistic/gravity dualities
• Gravity as an Entropic Phenomenon
• Thermodynamics of effective Minkowski spacetime in self-assembled hyperbolic metamaterials
• Solution for a non linear Schrödinger equation via Hopf-Cole transformation
• Possible Origin of Gravity and the Holographic Principle
• Charge pairing by quantum entanglement in strongly correlated electron systems
• Estimation theory and gravity
• Trivial Entropy of Matter in Gravitation
• A Reasonable Ab Initio Cosmological Constant Without Holography
• Quantum Hall Effect and Black Hole Entropy in Loop Quantum Gravity
• Towards an Entropic Geometrodynamics of Quantum Particles: Mouths of Casimir Wormholes as Planckeons
• Stochastic Thermodynamics, Reversible Dynamical Systems and Information Theory
• Renormalizability, fundamentality and a final theory: The role of UV-completion in the search for quantum gravity
• GPS Fit Method for Paths of Non Drunken Sailors and its Connection to Entropy
• Gravitation at Very Short Distances
• SpaceTime from Hilbert Space: Decompositions of Hilbert Space as Instances of Time
• A topological approach to renormalization and its geometrical, dimensional consequences
• From MOND entropy to extended uncertainty principles: A unified framework
• The Standard Model Symmetry and Qubit Entanglement
• On planetary orbits, ungravity and entropic gravity
• A winding number analysis of Schwarzschild black hole stability in light of Planck-scale modified kinematics
• Entropically Driven Agents
• On the nature of the black hole information problem
• Static Spherically Symmetric Solutions in Modified Entropic Gravity
• A vacuum component of the Universe must evolve
• Does Holographic equipartition demand a pure cosmological constant?
• Classical spacetime as a gravitational condensate: USMEG-EFT emergence in comparison to Verlinde's entropic gravity
• Necessity of Quantizable Geometry for Quantum Gravity
• Uncertainty Principles and Maximum Entropic Force
• Attraction Induced by Mutual Quantum Measurements of Velocity
• Probable Entropic Nature of Gravity in Ultraviolet and Infrared Limits, Part I. An Ultraviolet Case
• Freezing lakes as analogue models of $\Lambda$CDM cosmology and beyond
• A Note on the Origin of Inertia
• The Emergence of Measured Geometry in Self-Gravitating Systems
• Energy trapping from Hagedorn densities of states
• Entropic Gravity in Rindler Space
• Thermodynamics of an Empty Box