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

References in corpus (2)

• Thermodynamical Aspects of Gravity: New insights
• The Anthropic Landscape of String Theory

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