Tensor-Vector-Scalar gravity - 2024 PLAYTIME

Question

This theory builds on Sanders’s stratified theory by positing a disformal relation between the physical and Einstein metrics in terms of a dynamical field denoted U. For 10 points each:

[10h] Name this relativistic extension of Modified Newtonian Dynamics proposed by Jacob Bekenstein. This theory replicates the behavior of Milgrom’s interpolation function in the weak-field limit using its three namesake quantities.

ANSWER: Tensor-Vector-Scalar gravity [or TeVeS]

[10m] Bekenstein introduced TeVeS to fix problems with the relativistic version of a theory in which this quantity is aquadratic (“A-quadratic”) in grad phi. Derivatives of this quantity with respect to generalized coordinates appear on either side of a set of equations partially named for Euler.

ANSWER: Lagrangian [accept Euler–Lagrange] (The previous theory is AQUAL.)

[10e] Both TeVeS and AQUAL fix the failure of this result for classical MOND. This result, which follows from translation symmetry of the Lagrangian by Noether’s theorem, says that the product of mass and velocity remains constant in a system. A description is acceptable.

ANSWER: conservation of linear momentum [accept equivalents]

<JC, Physics>

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Summary


2025 PLAYTIME @ CWRU	12/10/2024	Y	5	8.00	60%	20%	0%
2025 PLAYTIME @ Claremont	12/10/2024	Y	5	8.00	80%	0%	0%
2025 PLAYTIME @ Florida	12/10/2024	Y	2	5.00	50%	0%	0%
2025 PLAYTIME @ Florida	12/10/2024	Y	1	10.00	100%	0%	0%
2024 PLAYTIME @ Harvard	04/26/2025	Y	4	5.00	25%	25%	0%
2024 PLAYTIME @ JHU	10/26/2024	Y	8	7.50	50%	25%	0%
2025 PLAYTIME @ Northwest	12/10/2024	Y	4	12.50	100%	25%	0%
2025 PLAYTIME Online	04/26/2025	Y	9	20.00	100%	78%	22%
2025 PLAYTIME @ Sheffield	12/10/2024	Y	7	14.29	100%	43%	0%
2024 PLAYTIME @ UBC	10/05/2024	Y	8	15.00	75%	63%	13%
2024 PLAYTIME @ Virginia Tech	07/11/2025	Y	3	16.67	100%	67%	0%
2024 PLAYTIME @ WashU	10/12/2024	Y	6	15.00	100%	50%	0%

Data


Ohio State D	Michigan A	0	0	10	10
Michigan D	Pittsburgh	0	10	0	10
Michigan B	Ohio State A	0	0	10	10
Ohio State B	Michigan C	0	0	10	10
Ohio State C	Oberlin	0	0	0	0
UCLA B	Art of Premature Signaling	0	0	10	10
Caltech	P.C.‚ Daniel‚ Michel‚ and Jason B	0	0	10	10
girl 15 whale i mean they	Claremont A	0	0	10	10
Claremont B	UCSB	0	0	10	10
UCSD	UCLA A	0	0	0	0
Brandeis	BU	0	0	0	0
Billy's Bastion	Keeping Up With the Cardassians	0	0	0	0
Qin Shi Huang's Immortality Poison	Edwin Laundrorat's Long-Lost Man Unclothès Rat Degrosses	0	0	10	10
Too much from you lately	Project2025BC: Make Assyria Great Again	0	0	10	10
Belmont	Brown	0	0	0	0
Harvard	MIT	0	10	10	20
Lexington	RIT	0	0	0	0
CWRU	Maryland B	0	0	0	0
Georgetown	Catholic University of America	0	0	10	10
George Mason B	Johns Hopkins B	0	0	10	10
NYU B	George Washington	0	0	0	0
NYU A	Haverford A	0	0	0	0
Johns Hopkins A	George Mason A	0	10	10	20
Maryland A	Haverford B	0	0	10	10
Rutgers	NYU C	0	10	0	10
Arizona State University B	UW A	0	0	10	10
UW B	Alberta	0	0	10	10
Egypt Airlines Haters	2 Italians, 2 Poles, All Noles	0	10	10	20
Arizona State University A	South Dakota School of Mines	0	10	10	20
Carleton	Washington Connections	0	0	10	10
Free Agents 1	Gruh	10	10	10	30
Mike Dukakis Tank Battalion	Goober Gang	10	10	10	30
Illinois Orange	Notre Dame + Epic Games	0	10	10	20
evil women enjoyers	Mahjonng Masters	0	10	10	20
Monsieur Hulot's Academic Team	MSJ	0	0	10	10
we need new names	Quatumvirate	0	10	10	20
Four Generalists in Search of a Power	Trip-Hop Quizzer Tricky	0	0	10	10
LSE	Cambridge	0	0	10	10
Birmingham	Edinburgh	0	0	10	10
Imperial B	Sheffield A	0	0	10	10
Imperial A	Sheffield B	0	10	10	20
Sheffield C	Lancaster + Sheffield C	0	10	10	20
Warwick A	Warwick B	0	0	10	10
Manchester	Warwick C	0	10	10	20
McGill A	UBC	0	10	10	20
Simon Fraser	McGill B	0	10	0	10
Toronto A	Toronto E	0	10	10	20
Waterloo C	Toronto B	0	0	10	10
Toronto C	Mac A	0	0	10	10
Toronto Metropolitan	Guelph	0	0	0	0
Waterloo A	Ottawa A	0	10	10	20
Waterloo B	Toronto D	10	10	10	30
4 quizbowl pros go Virginia on North Carolina	Adrianne Lenker 4 Nobel Lit Prize 2K65	0	10	10	20
Master and Margaritaville	Ashurbanipal’s Drag Race	0	10	10	20
Somehow Paula Deen Returned	Even in Blacksburg There I Am	0	0	10	10
Truman State	Chicago A	0	0	10	10
Illinois A	Illinois C	0	0	10	10
Iowa State	SIUE	0	0	10	10
Missouri	Illinois B	0	10	10	20
Chicago B	WashU Bulbasaur	0	10	10	20
WashU Charmander	WashU Squirtle	0	10	10	20
Auburn 2026	mongeese	0	10	10	20