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Problem of deciding whether an expression equals zero
the constant problem is the problem of deciding whether a given expression is equal to zero. This problem is also referred to as the identity problem or
Constant_problem
Concept in cosmology
More unsolved problems in physics In cosmology, the cosmological constant problem or vacuum catastrophe is the substantial disagreement between the observed
Cosmological_constant_problem
Value representing energy density of space
cosmological constant. The explanation of this small but positive value is a remaining theoretical challenge, the so-called cosmological constant problem. Some
Cosmological_constant
Unsolved problem in physics
than gravity. A hierarchy problem occurs when the fundamental value of some physical parameter, such as a coupling constant or a mass, in some Lagrangian
Hierarchy_problem
Unsolved geometry question on moving a sofa through a 90° angle
thus obtained is referred to as the sofa constant. The exact value of the sofa constant is an open problem. The leading solution, by Joseph L. Gerver
Moving_sofa_problem
Collection of possible string theory vacua
vacua, the problem of finding one with a sufficiently small cosmological constant is NP complete. This is a version of the subset sum problem. A possible
String_theory_landscape
Physics problem related to laws of motion and gravity
In physics, specifically classical mechanics, the three-body problem is to take the initial positions and velocities (or momenta) of three point masses
Three-body_problem
Philosophical thought experiment
(2007). "Sinks in the landscape, Boltzmann brains and the cosmological constant problem". Journal of Cosmology and Astroparticle Physics. 2007 (1): 022. arXiv:hep-th/0611043
Boltzmann_brain
2.71828...; base of natural logarithms
itself as a quantity of interest. The constant itself was introduced by Jacob Bernoulli in 1683, for solving the problem of continuous compounding of interest
E_(mathematical_constant)
Method for evaluating indefinite integrals
functions.[example needed] Specifically, the algorithm cannot solve the constant problem, which is undecidable when it needs to determine whether an arbitrary
Risch_algorithm
Lowest possible energy of a quantum system or field
universe we observe today. This discrepancy is known as the cosmological constant problem and it is one of the greatest unsolved mysteries in physics. Many physicists
Zero-point_energy
Physical constant in quantum mechanics
The Planck constant, or Planck's constant, denoted by h {\displaystyle h} , is a fundamental physical constant of foundational importance in quantum mechanics:
Planck_constant
Background energy existing in space
problem in physics Why does the zero-point energy of the vacuum not cause a large cosmological constant? What cancels it out? More unsolved problems in
Vacuum_energy
universe? Cosmological constant problem: Why does the zero-point energy of the vacuum not cause a large cosmological constant? Size and shape of the universe:
List of unsolved problems in astronomy
List_of_unsolved_problems_in_astronomy
Physical constant with no units
In physics, a dimensionless physical constant is a physical constant that is dimensionless, i.e. a pure number having no units attached and having a numerical
Dimensionless physical constant
Dimensionless_physical_constant
Fixed number that has received a name
facilitate using it across multiple mathematical problems. Constants arise in many areas of mathematics, with constants such as e and π occurring in such diverse
Mathematical_constant
Difference between logarithm and harmonic series
mathematical constant after π and e makes the irrationality of γ a major open question in mathematics. Unsolved problem in mathematics Is Euler's constant irrational
Euler's_constant
Numerical observation in cosmology
energy contributions from matter and dark energy. Cosmological constant problem Flatness problem Fine-tuned universe O’Raifeartaigh, Cormac; O’Keeffe, Michael;
Cosmic_coincidence_problem
Quantum field theory of electromagnetism
compared to experimental observation value. This is called cosmological constant problem or vacuum catastrophe. The first formulation of a quantum theory describing
Quantum_electrodynamics
Halting probability of a random computer program
answer to these problems. But as the halting problem is not generally solvable, calculating any but the first few bits of Chaitin's constant is not possible
Chaitin's_constant
Energy driving the accelerated expansion of the universe
and clusters, but some problems appeared in the late 1980s: in particular, the model required a value for the Hubble constant lower than preferred by
Dark_energy
is false? Cosmological constant problem: Why does the zero-point energy of the vacuum not cause a large cosmological constant? What cancels it out? Dark
List of unsolved problems in physics
List_of_unsolved_problems_in_physics
German cargo glider
the problems with ground handling, although the payload was reduced. Vulnerability to ground fire and aerial attack remained a constant problem during
Messerschmitt_Me_321_Gigant
Physical theory of the cosmos
cosmological constant but also extending to more exotic forms of quintessence or other modified gravity schemes. A cosmological constant problem, sometimes
Big_Bang
American physicist
proposed the string theory landscape as a solution to the cosmological constant problem. Bousso was born in Haifa, Israel, the son of late scientist Dino Bousso [wd]
Raphael_Bousso
this problem, see articles by Eric W. Weisstein at Wolfram MathWorld (all articles accessed 22 August 2024): Euler's Constant Catalan's Constant Apéry's
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Physical constant for the strength of gravity induced by a mass
The gravitational constant is an empirical physical constant that gives the strength of the gravitational field induced by a mass. It is involved in the
Gravitational_constant
Universal and unchanging physical quantity
A physical constant, sometimes called a fundamental physical constant or universal constant, is a physical quantity that cannot be explained by a theory
Physical_constant
Swiss theoretical physicist
he has proposed a solution to the cosmological constant problem from arguing that Newton's constant varies globally. In 2015 and 2016, Lombriser predicted
Lucas_Lombriser
Classical physics prediction that black body radiation grows unbounded with frequency
the body, kB is the Boltzmann constant, exp denotes the exponential function. In 1905, Albert Einstein solved the problem physically by postulating that
Ultraviolet_catastrophe
5th episode of the 4th season of Lost
"The Constant" is the fifth episode of the fourth season of the American Broadcasting Company's (ABC) serial drama television series Lost, and the 77th
The_Constant
Region in Gironde, Nouvelle-Aquitaine, France
a comparatively mild climate and high rainfall making grape rot a constant problem. It is generally believed that the nature of the region's wine derives
Médoc
Physical constant relating particle kinetic energy with temperature
The Boltzmann constant (kB or k) is the proportionality factor that relates the average relative thermal energy of particles in a gas with the thermodynamic
Boltzmann_constant
Undecidability of equality of real numbers
school algebra problem – Mathematical problem Dan Richardson and John Fitch, 1994, "The identity problem for elementary functions and constants Archived 2024-05-04
Richardson's_theorem
About polynomials in several variables
-dimensional space to itself has a Jacobian determinant that is a non-zero constant, then the function has a polynomial inverse. The case n = 2 {\displaystyle
Jacobian_conjecture
Unsolved problem in computer science
Unsolved problem in computer science If the solution to a problem can be checked in polynomial time, must the problem be solvable in polynomial time? More
P_versus_NP_problem
Dimensionless number that quantifies the strength of the electromagnetic interaction
fine-structure constant, also known as the Sommerfeld constant, commonly denoted by α (the Greek letter alpha), is a fundamental physical constant that quantifies
Fine-structure_constant
Constant e raised to the power of pi
number. The constant was mentioned in Hilbert's seventh problem alongside the Gelfond–Schneider constant 2√2, and the name "Gelfond's constant" stems from
Gelfond's_constant
Possible fate of the universe
(2007). "Sinks in the landscape, Boltzmann brains and the cosmological constant problem". Journal of Cosmology and Astroparticle Physics. 2007 (1): 022. arXiv:hep-th/0611043
Heat_death_of_the_universe
Theories about the end of the universe
(2007). "Sinks in the landscape, Boltzmann brains and the cosmological constant problem". Journal of Cosmology and Astroparticle Physics. 2007 (1): 022. arXiv:hep-th/0611043
Ultimate_fate_of_the_universe
Unsolved problem in mathematics
mathematics, the Skolem problem (also called the Skolem-Pisot problem) is the problem of determining whether the values of a constant-recursive sequence include
Skolem_problem
names to facilitate using it across multiple mathematical problems. For example, the constant π may be defined as the ratio of the length of a circle's
List of mathematical constants
List_of_mathematical_constants
Theories in particle physics and cosmology
bulk appear to be promising in addressing the so-called cosmological constant problem. One of the earliest documented attempts to apply brane cosmology as
Brane_cosmology
Ratio of the perimeter of Bernoulli's lemniscate to its diameter
In mathematics, the lemniscate constant ϖ is a transcendental mathematical constant that is the ratio of the perimeter of Bernoulli's lemniscate to its
Lemniscate_constant
Theory of gravity
initial value problem and its equations of motion coincide with the initial value problem and equations of motion of the ADM formalism in constant mean extrinsic
Shape_dynamics
Hypothetical form of matter
Christof Wetterich introduced a cosmon model to explain the cosmological constant problem. In 1989, Hans Dehmelt attempted to modernize the idea of the primeval
Cosmon
Symmetry between bosons and fermions
certain phenomena, such as the nature of dark matter and the hierarchy problem in particle physics. A supersymmetric theory is a theory in which the equations
Supersymmetry
Problem in physics and astronomy
net force and torque on the particle. Nevertheless, Euler's problem has a second constant of motion C = r 1 2 r 2 2 d θ 1 d t d θ 2 d t + 2 a ( μ 1 cos
Euler's_three-body_problem
Solved question in mathematics
moving at a constant airspeed v, for time T, and the wind is assumed to move in a constant direction with speed w. The solution of the problem is that the
Chaplygin_problem
Complexity class of approximable problems
NP optimization problems that allow polynomial-time approximation algorithms with approximation ratio bounded by a constant (or constant-factor approximation
APX
Hypothetical physical concept
forces, and gravity. Finding such a theory is one of the major unsolved problems in physics. Numerous popular books apply the words "theory of everything"
Theory_of_everything
Differential geometry conjecture
Riemannian manifold (M,g), the metric fg has constant scalar curvature. Additionally, the Yamabe problem as posed in similar settings, such as for complete
Yamabe_problem
Proposal concerning the state of the universe prior to the Planck epoch
physrep.2023.06.002. Weinberg, Steven (1989-01-01). "The cosmological constant problem". Reviews of Modern Physics. 61 (1): 1–23. Bibcode:1989RvMP...61..
Hartle–Hawking_proposal
18 mathematical problems stated in 1998
Smale's problems is a list of eighteen unsolved problems in mathematics proposed by Steve Smale in 1998 and republished in 1999. Smale composed this list
Smale's_problems
Sum of the inverses of the positive cubes
proved that it is an irrational number. Apéry's constant arises naturally in a number of physical problems, including in the second- and third-order terms
Apéry's_constant
Unsolved problem in mathematics
Unsolved problem in mathematics Is every sufficiently large sequence of square numbers with constant second difference necessarily a sequence of consecutive
Büchi's_problem
Violation of charge-parity symmetry in particle physics and cosmology
interactions. It is important to the matter-antimatter asymmetry problem, the strong CP problem, and in the study of weak interactions in particle physics.
CP_violation
Topics referred to by the same term
the free dictionary. Vacuum catastrophe can mean: the cosmological constant problem in cosmology the divergence in the calculation of vacuum energy in
Vacuum catastrophe (disambiguation)
Vacuum_catastrophe_(disambiguation)
Theorem of physical impossibility
theorem (see cosmological constant problem). In mathematics there is the concept of proof of impossibility referring to problems impossible to solve. The
No-go_theorem
Adjustment of parameters to fit data in theoretical physics
solution to problems in physics; and that it had usually done so earlier than expected. However, in addressing the problem of the cosmological constant, naturalness
Fine-tuning_(physics)
Estimate of time taken for running an algorithm
considered constant time. Importantly, the term "constant time" does not mean the running time must be entirely independent of the problem size; rather
Time_complexity
Probability of shared birthdays
In probability theory, the birthday problem asks for the probability that, in a set of n randomly chosen people, at least two will share the same birthday
Birthday_problem
Branch of physics that studies mathematical models of the universe
"Vacuum catastrophe: An elementary exposition of the cosmological constant problem". American Journal of Physics. 63 (7): 620–626. Bibcode:1995AmJPh.
Physical_cosmology
Shape that blocks all lines of sight
forests. Opaque sets were introduced by Stefan Mazurkiewicz in 1916, and the problem of minimizing their total length was posed by Frederick Bagemihl in 1959
Opaque_set
Problem in mathematical optimisation
problem: In an unbounded plane where the wind distribution is given by a vector field as a function of position and time, a ship moves with constant velocity
Zermelo's_navigation_problem
Comprehensive physical model
gauge symmetry and thus several force carriers, but one unified coupling constant. Unifying gravity with the electronuclear interaction would provide a more
Grand_Unified_Theory
Mathematical problem involving optimal stopping theory
known as the marriage problem, the sultan's dowry problem, the fussy suitor problem, the googol game, and the best choice problem. Its solution is also
Secretary_problem
Number, approximately 0.916
it is an unsolved problem (one of Landau's problems) whether there are even infinitely many primes of this form. Catalan's constant also appears in the
Catalan's_constant
British physicist (born 1975)
received the Buchalter Cosmology Prize for their work on the cosmological constant problem. Kaloper and Padilla devised a new strategy; this involved rewriting
Antonio_Padilla
Shape containing unit line segments in all directions
a Kakeya needle set. Much of the research in this area has studied the problem of how small such sets can be, first asked by Sōichi Kakeya in 1917. Abram
Kakeya_set
American aircraft designer (1925–1995)
upset that engineers were not putting enough effort into solving a constant problem with violent engine unstarts in flight, Rich considered taking a flight
Ben_Rich_(engineer)
Topics referred to by the same term
Identity problem may refer to: An additional psychiatric condition from DSM-IV, code 313.82. See also: Identity disorder; A constant problem in mathematics
Identity_problem
Prime-generating mathematical constant
In number theory, Mills' constant is defined as the smallest positive real number A {\displaystyle A} such that ⌊ A 3 n ⌋ {\displaystyle \lfloor A^{3^{n}}\rfloor
Mills'_constant
Chinese cancelled jet fighter project
airframes were tested in total. As progress on the airframe continued, a constant problem that had arisen in similar Chinese fighter aircraft projects, such
Shenyang_J-13
Branch of physics
869–900. ISBN 978-0224044479. Weinberg, Steven (1989). "The Cosmological Constant Problem". Reviews of Modern Physics. 61: 1–23. doi:10.1103/RevModPhys.61.1
Theoretical_physics
Hypothetical fundamental force
(1988) and Paul Steinhardt et al. (1999) partly solves the cosmological constant problem. In these models, the quintessence field has a density which closely
Quintessence_(physics)
Mathematics of a particle physics model
2012). "Everything you always wanted to know about the cosmological constant problem (but were afraid to ask)". Comptes Rendus Physique. 13 (6–7): 566–665
Mathematical formulation of the Standard Model
Mathematical_formulation_of_the_Standard_Model
{|G|}{\exp(G)}}\right).} The original motivation for studying Davenport's constant was the problem of non-unique factorization in number fields. Let O {\displaystyle
Davenport_constant
King of Gwynedd from 986 to 999
subjects who had been taken captive in Danish raids. Viking raids were a constant problem during Maredudd's reign. In 987, Godfrey Haroldson raided Anglesey
Maredudd_ab_Owain
Motion problem in classical mechanics
the two-body problem is used to calculate and predict the motion of two massive bodies that are orbiting each other in space. The problem assumes that
Two-body_problem
Geometrical body
Unsolved problem in mathematics What is the minimum volume among all shapes of the same constant width? More unsolved problems in mathematics In geometry
Surface_of_constant_width
Cosmological fine-tuning problem
The flatness problem (also known as the oldness problem) is a cosmological fine-tuning problem within the Big Bang model of the universe. Measurements
Flatness_problem
Theories trying to extend known physics
the strong CP problem, neutrino oscillations, matter–antimatter asymmetry, and the nature of dark matter and dark energy. Another problem lies within the
Physics beyond the Standard Model
Physics_beyond_the_Standard_Model
Air warfare branch of Senegal's military
Senegalese forces, medevac and maritime patrol. Funding remains a constant problem for the Senegalese Air Force and the increasing cost of aviation fuel
Senegalese_Air_Force
Hypothesis relating age of the universe to physical constants
physical constant – Physical constant with no units Hierarchy problem – Unsolved problem in physics Time-variation of fundamental constants – Hypothetical
Dirac large numbers hypothesis
Dirac_large_numbers_hypothesis
Iranian theoretical physicist
of elementary particle physics such as the hierarchy problem and the cosmological constant problem. He has made contributions to topological string theories
Cumrun_Vafa
Problem in continuous-time finance
Merton's portfolio problem is a problem in continuous-time finance and in particular intertemporal portfolio choice. An investor must choose how much to
Merton's_portfolio_problem
NP-hard problem in combinatorial optimization
Jakub; Végh, László A. (2018). "A constant-factor approximation algorithm for the asymmetric traveling salesman problem". Proceedings of the 50th Annual
Travelling_salesman_problem
explanation to cosmological constant problem: a fifth dimension would answer the question of energy density required to maintain the constant. Corbion, Ashley (March
Vanishing_dimensions_theory
Observation in physical cosmology
2010s. List of scientists whose names are used in physical constants S8 tension- a similar problem from another parameter of the ΛCDM model. Tests of general
Hubble's_law
1948 film by H. C. Potter
by William Steig. The story follows a married couple who encounter constant problems after their purchase and remodel of a home in the country. The movie
Mr. Blandings Builds His Dream House
Mr._Blandings_Builds_His_Dream_House
Constant in Riemannian geometry
\lambda _{1}(M)\leq 2a(n-1)h(M)+10h^{2}(M).} Cheeger constant (graph theory) Isoperimetric problem Spectral gap Cheeger 1971. Brooks 1981. Buser 1978.
Cheeger_constant
Russian theoretical physicist
phenomena of solid state physics. He proposed a solution to the problem of the cosmological constant from analogies to solid state physics, in which, unlike particle
Grigory_E._Volovik
Complicated set of real numbers
ISBN 9780821815311. Cassels (1957) p.18 Freiman's Constant Weisstein, Eric W. "Freiman's Constant." From MathWorld—A Wolfram Web Resource), accessed
Markov_spectrum
Number associated with self-avoiding walks
In mathematics, the connective constant is a numerical quantity associated with self-avoiding walks on a lattice. It is studied in connection with the
Connective_constant
Fastest curve descent without friction
uniform gravitational field to a given end point in the shortest time. The problem was posed by Johann Bernoulli in 1696 and famously solved in one night
Brachistochrone_curve
polarization constants (also known as Chebyshev constants) are solutions to a max-min problem for potentials. Originally, these problems were introduced
Polarization_constants
Speculative physics theory
quantum field theory, and also between the hierarchy problem and the cosmological constant problem. Both issues suggest the possibility of corrections
Fifth_force
Concept in cosmology
to the measure problem. This measure has also been shown to produce good agreement with observational values of the cosmological constant. The stationary
Measure_problem_(cosmology)
Problem in computer science
In computability theory, the halting problem is the decision problem of, given an arbitrary computer program and an input, determining whether said program
Halting_problem
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