E. Anderson

发表

Geometry from Brackets Consistency

E. Anderson, 2018, 1811.00564.

Specific PDEs for Preserved Quantities in Geometry. III. 1-d Projective Transformations and Subgroups

E. Anderson, 2018, 1809.02065.

Absolute versus Relational Debate: a Modern Global Version.

E. Anderson, 2018, 1805.09459.

Shape Theories. I. Their Diversity is Killing-Based and thus Nongeneric

E. Anderson, 2018, 1811.06516.

$N$-Body Problem: Minimal $N$'s for Qualitative Nontrivialities

E. Anderson, 2018, 1807.08391.

Shape Theory. III. Comparative Theory of Backgound Independence

E. Anderson, 2018, 1812.08771.

Topological Shape Theory

E. Anderson, 2018, 1803.11126.

Rubber Relationalism: Smallest Graph-Theoretically Nontrivial Leibniz Spaces.

E. Anderson, 2018, 1805.03346.

M ay 2 01 8 Absolute versus Relational Debate : a Modern Global Version Dr

E. Anderson, 2018 .

Shape Derivatives.

E. Anderson, 2018, 1810.10119.

Background Independence: $\mathbb{S}^1$ and $\mathbb{R}$ absolute spaces differ greatly in Shape-and-Scale Theory

E. Anderson, 2018, 1804.10933.

Triangleland: I. Classical dynamics with exchange of relative angular momentum

E. Anderson, 2008, 0809.1168.

Maximal Angle Flow on the Shape Sphere of Triangles

E. Anderson, 2017, 1712.07966.

The Smallest Shape Spaces. III. Triangles in 2- and 3-d

E. Anderson, 2017, 1711.10115.

Fully Timeless Approaches at the Quantum Level

E. Anderson, 2017 .

Machian classical and semiclassical emergent time

E. Anderson, 2013, 1305.4685.

Emergent semiclassical time in quantum gravity: I. Mechanical models

E. Anderson, 2006, gr-qc/0611007.

Isotropy Groups and Kinematic Orbits for 1 and 2-$d$ $N$-Body Problems

E. Anderson, 2018, 1810.04043.

Quadrilaterals in Shape Theory. II. Alternative Derivations of Shape Space: Successes and Limitations

E. Anderson, 2018, 1810.05282.

Specific PDEs for Preserved Quantities in Geometry. II. Affine Transformations and Subgroups

E. Anderson, 2018, 1809.02087.

Monopoles of Twelve Types in 3-Body Problems

E. Anderson, 2018, 1802.03465.

The Smallest Shape Spaces. I. Shape Theory Posed, with Example of 3 Points on the Line

E. Anderson, 2017, 1711.10054.

Shape (In)dependent Inequalities for Triangleland's Jacobi and Democratic-Linear Ellipticity Quantitities

E. Anderson, 2017, 1712.04090.

Shape space methods for quantum cosmological triangleland

E. Anderson, 2009, 0909.2439.

Configuration Spaces in Fundamental Physics

E. Anderson, 2015, 1503.01507.

Spacetime Construction and Alternative Emergent Structures

E. Anderson, 2017 .

Six New Mechanics corresponding to further Shape Theories

E. Anderson, 2015, 1505.00488.

The Standard Principles of Dynamics 2 . 1 Lagrangians and Euler – Lagrange Equations

E. Anderson, 2015 .

The Future Shape of Theoretical Physics and Beyond

E. Anderson, 2015 .

PDE system approach to large extra dimensions

R. Tavakol, E. Anderson, 2003, gr-qc/0309063.

Epilogue II.C. Background Independence and Problem of Time at Deeper Levels of Structure

E. Anderson, 2017 .

Shape Theories. II. Compactness Selection Principles

E. Anderson, 2018, 1811.06528.

Configuration Spaces and Their Configurational Relationalism

E. Anderson, 2017 .

Quantum Beables or Observables

E. Anderson, 2017 .

Classical Histories Theory

E. Anderson, 2017 .

Classical Machian Combined Approach

E. Anderson, 2017 .

Classical dynamics on triangleland

E. Anderson, 2007, gr-qc/0702083.

Embeddings in space-times sourced by scalar fields

C. Romero, J. Lidsey, E. Anderson, 2001, gr-qc/0111094.

Time, Space, Spacetime and Laws in Special Relativity

E. Anderson, 2017 .

On the recovery of geometrodynamics from two different sets of first principles

E. Anderson, Edward A. Anderson, 2005, gr-qc/0511070.

Relational particle models: I. Reconciliation with standard classical and quantum theory

E. Anderson, 2005, gr-qc/0511068.

The Campbell--Magaard Theorem is inadequate and inappropriate as a protective theorem for relativistic field equations

E. Anderson, 2004, gr-qc/0409122.

PDE system approach to large extra dimensions

R. Tavakol, E. Anderson, 2003, gr-qc/0309063.

The physical gravitational degrees of freedom

B. Kelleher, J. Barbour, N. Murchadha, 2004, gr-qc/0407104.

Classical-Level Background Independence and the Problem of Time. ii. Spacetime and Its Interrelation with Space

E. Anderson, 2017 .

Leibniz--Mach foundations for GR and fundamental physics

E. Anderson, 2004, gr-qc/0405022.

Scale-invariant gravity: geometrodynamics

J. Barbour, E. Anderson, B. Foster, 2002, gr-qc/0211022.

Geometrical Quantization. ii. Dynamical Quantization

E. Anderson, 2017 .

Geometrical Quantization with Nontrivial . ii. Field Theories and GR

E. Anderson, 2017 .

Strong-Coupled Relativity Without Relativity

E. Anderson, 2002, gr-qc/0205118.

Embeddings, Slices and Foliations

E. Anderson, 2017 .

Interacting vector fields in relativity without relativity

J. Barbour, E. Anderson, 2002, gr-qc/0201092.

Quantum Foliation Independence Strategies

E. Anderson, 2017 .

Applications of Split Spacetime, Foliations and Deformations

E. Anderson, 2017 .

Origin of structure in the universe: quantum cosmology reconsidered

E. Anderson, 2015, 1501.02443.

The Smallest Shape Spaces. II. 4 Points in 1-d Suffices to have a Complex Background-Independent Theory of Inhomogeneity

E. Anderson, 2017, 1711.10073.

Embeddings in Non-Vacuum Spacetimes

J. Lidsey, E. Anderson, 2001, gr-qc/0106090.

Geometrodynamics: Spacetime or Space ?

E. Anderson, 2004, gr-qc/0409123.

Variations on the seventh route to relativity

E. Anderson, 2003, gr-qc/0302035.

Configurational Relationalism: Field Theory and GR’s Thin Sandwich

E. Anderson, 2017 .

Spacetime or Space and the Problem of Time

E. Anderson, 2003, gr-qc/0312037.

Relational mechanics of shape and scale

E. Anderson, 2010, 1001.1112.

Kerr–Newman black hole thermodynamical state space: blockwise coordinates

E. Anderson, 2013, General Relativity and Gravitation.

Classical-Level Conclusion

E. Anderson, 2017 .

The Problem of Time: Quantum Mechanics Versus General Relativity

E. Anderson, 2017 .

Spaces of Spaces

E. Anderson, 2014, 1412.0239.

Classical-Level Background Independence and the Problem of Time. i. Time and Configuration

E. Anderson, 2017 .

Problem of Time and Background Independence: the Individual Facets

E. Anderson, 2014, 1409.4117.

Beables/Observables in Classical and Quantum Gravity

E. Anderson, 2013, 1312.6073.

Approaching the problem of time with a combined semiclassical-records-histories scheme

E. Anderson, 2012, 1204.2868.

Relational particle models: II. Use as toy models for quantum geometrodynamics

E. Anderson, 2005, gr-qc/0511069.

Nambu variant of Local Resolution of Problem of Time and Background Independence

E. Anderson, 2019, 1908.03168.

Quantum-Level Conclusion

E. Anderson, 2017 .

Classical Machian Emergent Time

E. Anderson, 2017 .

Introduction: Conceptual Outline of Time

E. Anderson, 2017 .

The Problem of Time and Quantum Cosmology in the Relational Particle Mechanics Arena

E. Anderson, 2011, 1111.1472.

Relational motivation for conformal operator ordering in quantum cosmology

E. Anderson, 2009, 0905.3357.

0 30 20 35 v 1 1 0 Fe b 20 03 VARIATIONS ON THE SEVENTH ROUTE TO RELATIVITY

E. Anderson, 2009 .

qc / 0 20 10 92 v 1 2 9 Ja n 20 02 Interacting vector fields in Relativity without Relativity

J. Barbour, E. Anderson, 2008 .

Does relationalism alone control geometrodynamics with sources

E. Anderson, 2007, 0711.0285.

Euclidean and similarity relational particle mechanics: classical theory for 3 particles in 2D

E. Anderson, 2007 .

Classical Dynamics on Triangleland ***has No More Self Changes. Update If Ford or Semicl Require It.***

E. Anderson, 2007 .

0 21 10 22 v 1 6 N ov 2 00 2 SCALE-INVARIANT GRAVITY : GEOMETRODYNAMICS

J. Barbour, N. Murchadha, E. Anderson, 2002 .

Tempus Post Quantum. ii. Semiclassical Machian Emergent Time

E. Anderson, 2017 .

Time, Space and Laws in Newtonian Mechanics

E. Anderson, 2017 .

Temporal Relationalism: More General Geometries

E. Anderson, 2017 .

Dynamical Formulations of GR

E. Anderson, 2017 .

Temporal Relationalism (TR)

E. Anderson, 2017 .

Combining Temporal and Configurational Relationalisms

Edward Anderson, E. Anderson, 2017 .

Kendall's Shape Statistics as a Classical Realization of Barbour-type Timeless Records Theory approach to Quantum Gravity

E. Anderson, 2013, 1307.1923.

On the semiclassical approach to quantum cosmology: relational particle model

E. Anderson, 2011, 1101.4916.

Quantum cosmological relational model of shape and scale in 1D

E. Anderson, 2010, 1003.4034.

An interpretation of variational principles for gauge theories: a cyclic coordinate alternative to ADM split

E. Anderson, 2007, 0711.0288.

Ju n 20 07 FOUNDATIONS OF RELATIONAL DYNAMICS

E. Anderson, 2022 .

Relational Quadrilateralland. I. The Classical Theory

E. Anderson, 2012, 1303.5645.

Comparative Theory of Background Independence

E. Anderson, 2019, 1911.05678.

Lie Theory suffices to understand, and Locally Resolve, the Problem of Time

E. Anderson, 2019, 1911.01307.

Problem of Time and Background Independence: classical version's higher Lie Theory

E. Anderson, 2019, 1907.00912.

0 30 90 63 v 1 1 2 Se p 20 03 PDE System Approach to Large Extra Dimensions

R. Tavakol, E. Anderson, 2008 .

Problem of time in quantum gravity

E. Anderson, 2010, 1206.2403.

Slightly Inhomogeneous Cosmology (SIC)

E. Anderson, 2017 .

Quantum-Level Background Independence and the Problem of Time

E. Anderson, 2017 .

Quantum Constraint Closure

E. Anderson, 2017 .

Quantum Gravity Programs

E. Anderson, 2017 .

Brackets, Constraints and Closure

Edward Anderson, E. Anderson, 2017 .

Scaled Triangleland Model of Quantum Cosmology

E. Anderson, 2010, 1005.2507.

Quantum cosmological metroland model

E. Anderson, A. Franzen, 2009, 0909.2436.

Emergent semiclassical time in quantum gravity: II. Full geometrodynamics and minisuperspace examples

E. Anderson, 2006, gr-qc/0611008.

Tempus Post Quantum. iii. Semiclassical Quantum Cosmological Modelling

E. Anderson, 2017 .

Problem of time in slightly inhomogeneous cosmology

E. Anderson, 2014, 1403.7583.

Relational Quadrilateralland. II. The Quantum Theory

E. Anderson, Sophie Kneller, 2014 .

Minisuperspace model of Machian resolution of Problem of Time. I. Isotropic case

E. Anderson, 2013, 1307.1916.

Further Detail of Time and Temporal Relationalism in Quantum Theory

E. Anderson, 2017 .

On Types of Observables in Constrained Theories

E. Anderson, 2016, 1604.05415.

Where to Apply Relationalism

E. Anderson, 2014, 1411.4316.

Taking Function Spaces Thereover: Beables and Observables

E. Anderson, 2017 .

Explicit partial and functional differential equations for beables or observables

E. Anderson, 2015, 1505.03551.

Problem of time: facets and Machian strategy

E. Anderson, 2013, Annals of the New York Academy of Sciences.

Classical Machian Resolution of the Spacetime Reconstruction Problem

E. Anderson, F. Mercati, 2013, 1311.6541.

On Background Independence

E. Anderson, 2013, 1310.1524.

Histories Theory at the Quantum Level

Edward Anderson, E. Anderson, 2017 .

Triangleland: II. Quantum mechanics of pure shape

E. Anderson, 2008, 0809.3523.

Records Theory

E. Anderson, 2007, 0709.1892.

Relational Particle Models as Toy Models for Quantum Gravity and Quantum Cosmology

E. Anderson, 2005, gr-qc/0509054.

Relationalism in Various Further Settings

E. Anderson, 2017 .

Foundations of relational particle dynamics

E. Anderson, 2007, 0706.3934.

Geodesics, the equivalence principle and singularities in higher-dimensional general relativity and braneworlds

R. Tavakol, E. Anderson, 2005, gr-qc/0509055.

Kinematical Quantization

E. Anderson, 2016, 1604.06248.

Dirac’s Algorithm for Constrained Systems from the perspective of Order Theory

E. Anderson, 2021 .

Nijenhuis-type variants of Local Theory of Background Independence.

E. Anderson, 2019, 1908.00193.

Spaces of Observables from Solving PDEs. I. Translation-Invariant Theory

E. Anderson, 2018, 1809.07738.

Specific PDEs for Preserved Quantities in Geometry. I. Similarities and Subgroups

E. Anderson, 2018, 1809.02045.

Two new versions of Heron's Formula

E. Anderson, 2017, 1712.01441.

Alice in Triangleland: Lewis Carroll's Pillow Problem and Variants Solved on Shape Space of Triangles

E. Anderson, 2017, 1711.11492.

Time and Spacetime in General Relativity (GR)

E. Anderson, 2017 .

EMERGENT SEMICLASSICAL TIME IN QUANTUM GRAVITY

E. Anderson, 2007 .

Quantum Field Theory (QFT)

E. Anderson, 2017 .

Geometrical Quantization. i. Kinematical Quantization

E. Anderson, 2017 .

Problem of Time: Temporal Relationalism Compatibility of Other Local Classical Facets Completed

E. Anderson, 2015, 1506.03517.

TRiPoD (Temporal Relationalism incorporating Principles of Dynamics)

E. Anderson, 2015, 1501.07822.

N ov 2 00 7 FOUNDATIONS OF RELATIONAL PARTICLE DYNAMICS

E. Anderson, 2008 .

Epilogue III.A. The Multiple Choice Problem

Edward Anderson, E. Anderson, 2017 .

Epilogue III.B. Quantum Global Problems of Time

E. Anderson, 2017 .

Improving Sample Average Approximation Using Distributional Robustness

A. Philpott, E. Anderson, 2021, INFORMS Journal on Optimization.

Reformulation and interpretation of the SMS braneworld

R. Tavakol, E. Anderson, 2003, gr-qc/0305013.

Minisuperspace model of Machian resolution of Problem of Time. I. Isotropic case

E. Anderson, 2014, General Relativity and Gravitation.

Spherical Relationalism

E. Anderson, 2015, 1505.02448.

Kerr–Newman black hole thermodynamical state space: blockwise coordinates

E. Anderson, 2012, 1206.4003.

Quantum Cosmology will need to become a Numerical Subject

E. Anderson, 2013, 1306.5812.

Relational Quadrilateralland. I. Configuration Space Coordinates

E. Anderson, 2012 .

Relational Quadrilateralland. Analogues of Isospin and Hypercharge

E. Anderson, 2012, 1202.4187.

Relational Quadrilateralland Interpretation of CP^2 and Quotients

E. Anderson, 2011, 1102.2862.

Shape Quantities for Relational Quadrilateralland

E. Anderson, 2010, 1009.2161.

90 v 2 5 O ct 2 00 1 Embeddings in Non – Vacuum Spacetimes

J. Lidsey, E. Anderson, 2001 .

Embeddings in non-vacuum spacetimes

J. Lidsey, E. Anderson, 2001 .

Ju n 20 01 Embeddings in Non – Vacuum Spacetimes

J. Lidsey, E. Anderson, 2001 .

2 Embeddings in Higher Dimensions 2 . 1 Einstein Spaces

J. Lidsey, E. Anderson, 2022 .

MACHIAN TIME IS TO BE ABSTRACTED FROM WHAT CHANGE

E. Anderson, 2012, 1209.1266.

We have time because we shall never know

R. Tavakol, E. Anderson, 2015, 1506.07928.

'Shape Dynamics': Foundations Reassessed

E. Anderson, 2015, 1505.03553.

Shape Operators and Zodiac Tessellation: Improved Interpretation of Quantum Cosmological Triangleland

E. Anderson, 2009 .

Smallest Relational Mechanics Model of Quantum Cosmology

E. Anderson, 2009, 0908.1983.

Fully Timeless Approaches

E. Anderson, 2017 .

Epilogue II.B. Global Validity and Global Problems of Time

E. Anderson, 2017 .

The Problem of Time: Quantum Mechanics Versus General Relativity

E. Anderson, 2017 .