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Geometric structure
{\displaystyle {\mathrm {Spin} }(n).} Clifford bundle Clifford module bundle Orthonormal frame bundle Spin geometry Spinor Spinor representation Friedrich, Thomas (2000)
Spinor_bundle
Non-tensorial representation of the spin group
details, see Dirac spinor, Weyl spinor, Majorana spinor, and spinor bundle. One major mathematical application of the construction of spinors is to make possible
Spinor
First-order differential linear operator on spinor bundle, whose square is the Laplacian
case of the Atiyah–Singer–Dirac operator acting on sections of a spinor bundle. For a spin manifold, M, the Atiyah–Singer–Dirac operator is locally defined
Dirac_operator
Concept in differential geometry
a spin structure on an orientable Riemannian manifold (M, g) allows one to define associated spinor bundles, giving rise to the notion of a spinor in
Spin_structure
Subspace defined by a polynomial of degree 2 over a field
variety of Projective pure spinors, or simple spinor variety, of dimension m(m + 1)/2. (Another description of the pure spinor variety is as OGr + ( m
Quadric_(algebraic_geometry)
Connection on a spinor bundle
differential geometry and mathematical physics, a spin connection is a connection on a spinor bundle. It is induced, in a canonical manner, from the affine
Spin_connection
infinite rank vector bundle; this is the symplectic spinor construction due to Bertram Kostant. A section of the symplectic spinor bundle Q {\displaystyle
Symplectic_spinor_bundle
Double cover Lie group of the special orthogonal group
corresponding to a given point group. Clifford algebra Clifford analysis Spinor Spinor bundle Spin structure Table of Lie groups Anyon Orientation entanglement Pin
Spin_group
Formula for spinors
curvature, and results on spinors and spin structures. Given a spin structure on a pseudo-Riemannian manifold M and a spinor bundle S, the Lichnerowicz formula
Lichnerowicz_formula
Algebra based on a vector space with a quadratic form
Hypercomplex number Octonion Paravector Quaternion Spin group Spin structure Spinor Spinor bundle Also known as a geometric algebra (especially over the
Clifford_algebra
Symmetry of physical laws under a charge-conjugation transformation
the spinor bundle, depending on the local choice of a coordinate frame. Put another way, a spinor field is a local section of the spinor bundle, and
C-symmetry
a spinor bundle. In fact, on a Spin manifold, every Clifford module is obtained by twisting the spinor bundle. The notion "Clifford module bundle" should
Clifford_module_bundle
Area of differential geometry and topology
geometry Symplectic topology Spinor Spinor bundle Spin manifold Lawson, H. Blaine; Michelsohn, Marie-Louise (1989). Spin Geometry. Princeton University Press
Spin_geometry
Concept in mathematics
bundle – Continuous surjection satisfying a local triviality condition Spinor bundle – Geometric structure Tensor field – Assignment of a tensor continuously
Tensor_bundle
Study of vector bundles, principal bundles, and fibre bundles
A} and spinor field ψ {\displaystyle \psi } . In this case the four-manifold must admit a SpinC structure, which defines a principal SpinC bundle P {\displaystyle
Gauge_theory_(mathematics)
is even if it is finite. Darboux theorem Symplectic frame bundle Symplectic spinor bundle Symplectic vector space Maurice de Gosson: Symplectic Geometry
Symplectic_basis
Property of a differential manifold that includes complex structures
algebra on spinors. A spinor is said to be a pure spinor if it is annihilated by half of a set of generators of the Clifford algebra. Spinors are sections
Generalized_complex_structure
spin structure on orientable Riemannian manifolds. A metaplectic structure on a symplectic manifold allows one to define the symplectic spinor bundle
Metaplectic_structure
4-manifold invariants
Spin(4) on which U(1) acts by multiplication. We have K = c 1 ( W + ) = c 1 ( W − ) {\displaystyle K=c_{1}(W^{+})=c_{1}(W^{-})} . The spinor bundle W
Seiberg–Witten_invariants
Type of derivative in differential geometry
a spinor is equivalent to the vanishing of the Lie derivative along the same Killing vector of all the spinor bi-linear quantities. While a spinor that
Lie_derivative
Fiber bundle
distribution is integrable, Frobenius theorem applies, producing a foliation. Spinor bundle All of these constructions are due to Ehresmann (1941-3). Attributed
Associated_bundle
quasinormal mode no-cloning theorem quantum entanglement spinor, spinor group, spinor bundle Dirac sea Spin foam Poincaré group gamma matrices Dirac adjoint Wigner's
List of mathematical topics in quantum theory
List_of_mathematical_topics_in_quantum_theory
Relativistic wave description of fermions
relates a four-component spinor to its charge conjugate. As a 2×2 differential equation acting on a complex two-component spinor, resembling the Weyl equation
Majorana_equation
Special tangential structure
mathematics, these are used to describe spinor bundles and spinors, which in physics are used to describe spin, an intrinsic angular momentum of particles
Spinc_structure
Matrices used for Lorentz group spinors
of the (co)tangent bundle and a Weyl spinor bundle, the construction carries over to a differentiable manifold with a spinor bundle. The σ {\displaystyle
Infeld–Van der Waerden symbols
Infeld–Van_der_Waerden_symbols
algebra Complex spin structure Conformal manifold Conformally flat manifold Dirac operator Poincaré metric Spin group Spin structure Spinor bundle Ahlfors, L
Clifford_analysis
Concept in differential geometry
pure spinor field. If M is a spin manifold, then Hol(ω) ⊂ SU(n) if and only if M admits at least two linearly independent parallel pure spinor fields
Holonomy
Special tangential structure
mathematics, these are used to describe spinor bundles and spinors, which in physics are used to describe spin, an intrinsic angular momentum of particles
Spinh_structure
Continuous surjection satisfying a local triviality condition
In mathematics, and particularly topology, a fiber bundle (Commonwealth English: fibre bundle) is a space that is locally a product space, but globally
Fiber_bundle
operators. Orthonormal frame bundle Spinor Spin manifold Spinor representation Spin geometry Spin structure Clifford module bundle Penrose, Roger (2004). The
Clifford_bundle
Relates 2 second-order elliptic operators on a manifold with the same principal symbol
1-forms. If M is an oriented spin manifold with Dirac operator ð, then one may form the spin Laplacian Δ = ð2 on the spin bundle. On the other hand, the Levi-Civita
Weitzenböck_identity
Canonical subbundle
Symplectic structure Symplectic geometry Symplectic group Symplectic spinor bundle Habermann, Katharina; Habermann, Lutz (2006), Introduction to Symplectic
Symplectic_frame_bundle
American Jewish mathematician
1959) Chern's conjecture (affine geometry) Supermanifold Symplectic spinor bundle "Bertram Kostant, professor emeritus of mathematics, dies at 88". MIT
Bertram_Kostant
Relativistic wave equation describing massless fermions
Majorana spinor is again a pair of Weyl spinors, but this time arranged so that the left-handed spinor is the charge conjugate of the right-handed spinor. The
Weyl_equation
Quantum mechanics taking into account particles near or at the speed of light
The 2-spinor ψ+ corresponds to a particle with 4-momentum (E, p) and charge q and two spin states (σ = ±1/2, as before). The other 2-spinor ψ− corresponds
Relativistic quantum mechanics
Relativistic_quantum_mechanics
Assignment of a tensor continuously varying across a region of space
manifold Jet bundle – Construction in differential topology Ricci calculus – Tensor index notation for tensor-based calculations Spinor field – Geometric
Tensor_field
Fiber bundle whose fibers are group torsors
In the mathematical area of topology, a principal bundle is a mathematical object that formalizes some of the essential features of the Cartesian product
Principal_bundle
American video streaming service
also announced a bundle including its other U.S. streaming services Hulu (ad-supported version) and ESPN+, marketed as The Disney Bundle, initially for
Disney+
Classical field theories on fiber bundles
spinor fields. Scalar electrodynamics/chromodynamics: coupling of scalar and gauge fields. Quantum electrodynamics/chromodynamics: coupling of spinor
Covariant classical field theory
Covariant_classical_field_theory
Relativistic quantum mechanical wave equation
the adjoint spinor ψ ¯ ( x ) {\displaystyle {\bar {\psi }}(x)} . Meanwhile, the adjoint Dirac equation is acquired by varying the spinor ψ ( x ) {\displaystyle
Dirac_equation
Isomorphism between the tangent and cotangent bundles of a manifold
isomorphism) is an isomorphism between the tangent bundle T M {\displaystyle \mathrm {T} M} and the cotangent bundle T ∗ M {\displaystyle \mathrm {T} ^{*}M} of
Musical_isomorphism
Structure group sub-bundle on a tangent frame bundle
given structure group G, is a principal G-subbundle of the tangent frame bundle FM (or GL(M)) of M. The notion of G-structures includes various classical
G-structure_on_a_manifold
Fiber bundle induced by a map of its base space
mathematics, a pullback bundle or induced bundle is the fiber bundle that is induced by a map of its base-space. Given a fiber bundle π : E → B {\displaystyle
Pullback_bundle
the natural projections. Using spinor index notation, the Penrose transform gives a bijection between solutions to the spin ± n / 2 {\displaystyle \pm n/2}
Penrose_transform
space Γ {\displaystyle \Gamma } of square integrable sections of the spinor bundle over X {\displaystyle X} . Moreover, Connes observed that this distance
Spectral_triple
Complex four-component spinor
covariants. Charge conjugation transforms the positive-energy spinor into the negative-energy spinor. Charge conjugation is a mapping (an involution) ψ ↦ ψ c
Plane-wave solutions to the Dirac equation
Plane-wave_solutions_to_the_Dirac_equation
Australian telecommunication company
merged with SpinTel, transferring all of its users. In 2014, SpinTel launched an NBN service bundle. In 2015, it was discovered that SpinTel has accidentally
SpinTel
Differential form of degree one or section of a cotangent bundle
cotangent bundle. Equivalently, a one-form on a manifold M {\displaystyle M} is a smooth mapping of the total space of the tangent bundle of M {\displaystyle
One-form
Die-cast metal top toys
guys". Spin Fighters were sold two to a package, one gold and one black. Power Launchers and Battle Arenas were available separately or bundled. The tops
Spin_Fighters
Vector bundle associated with conformal manifolds
bundle, the tractor bundle, of M. The spin group of S O ( p + 1 , q + 1 ) {\displaystyle SO(p+1,q+1)} admits a fundamental representation, the spin representation
Local_twistor
American mathematician
Commutation theorem for traces Metaplectic group Symplectic group Symplectic spinor bundle Shale, D. (1962). "Linear symmetries of free boson fields". Trans. Amer
Irving_Segal
Candidate unified theory of physics
on any globally hyperbolic Lorentzian spin manifold ( M ^ , g ) {\displaystyle ({\hat {M}},g)} with spinor bundle S M ^ {\displaystyle S{\hat {M}}} , one
Causal_fermion_systems
Second-rank tensor in quantum chromodynamics
the spacetime with values in the adjoint bundle of the chromodynamical SU(3) gauge group (see vector bundle for necessary definitions). Throughout this
Gluon_field_strength_tensor
Branch of algebraic topology
K-theory is a branch of algebraic topology. It was founded to study vector bundles on topological spaces, by means of ideas now recognised as (general) K-theory
Topological_K-theory
System of moving vectors in differential geometry
affine connection (a covariant derivative or connection on the tangent bundle), then this connection allows one to transport vectors of the manifold along
Parallel_transport
Approach to general relativity
general relativity that generalizes the choice of basis for the tangent bundle from a coordinate basis to the less restrictive choice of a local basis
Tetrad_formalism
Tensor in differential geometry
with the methods of constructing more exotic geometric objects, such as spinor fields. The complicated formula defining R i j {\displaystyle R_{ij}} in
Ricci_curvature
Construct allowing differentiation of tangent vector fields of manifolds
simplest methods of defining differentiation of the sections of vector bundles. The notion of an affine connection has its roots in 19th-century geometry
Affine_connection
Operation in mathematics
Dimension Exterior form Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable
Tensor_contraction
Generalization of the Dirac equation
{\displaystyle \Psi } is a spinor field on spacetime. Mathematically, this is a section of a vector bundle associated to the spin-frame bundle by the representation
Dirac equation in curved spacetime
Dirac_equation_in_curved_spacetime
Matrix operation which flips a matrix over its diagonal
Dimension Exterior form Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable
Transpose
Mathematical function, in linear algebra
Dimension Exterior form Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable
Linear_map
Array of numbers describing a metric connection
frame bundle, with each "frame" being a possible choice of a coordinate frame. An invariant metric implies that the structure group of the frame bundle is
Christoffel_symbols
Math/physics concept
formulated subsequent to Cartan's initial work. In particular, on a principal bundle, a principal connection is a natural reinterpretation of the connection
Connection_form
Derivative used in gauge theories
associated bundle for the principal fiber bundle of the gauge theory; and, for the case of spinors, the associated bundle would be a spin bundle of the spin structure
Gauge_covariant_derivative
General relativity in M-theory
a real Majorana spinor representation, whose dimension is half that of the Dirac representation. When k is even there is a Weyl spinor representation,
Higher-dimensional supergravity
Higher-dimensional_supergravity
Universal construction in multilinear algebra
Dimension Exterior form Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable
Tensor_algebra
Moduli space of the Seiberg–Witten equations
bundles W ± ↠ M {\displaystyle W^{\pm }\twoheadrightarrow M} , called associated spinor bundles (whose sections are called (anti) self-dual spinors)
Seiberg–Witten_moduli_space
used in some parts of geometry. See: Spin group Spin-c group Spinor Pin group Pinors Spinor field Killing spinor Spin manifold Ricci, Gregorio; Levi-Civita
Glossary_of_tensor_theory
Algebraic operation on coordinate vectors
Dimension Exterior form Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable
Dot_product
Dimension Exterior form Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable
Tensors in curvilinear coordinates
Tensors_in_curvilinear_coordinates
Specification of a derivative along a tangent vector of a manifold
contrasted with the approach given by a principal connection on the frame bundle – see affine connection. In the special case of a manifold isometrically
Covariant_derivative
Study of curves from a differential point of view
Dimension Exterior form Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable
Differentiable_curve
Expression that may be integrated over a region
fiber at p {\displaystyle p} of the dual bundle of the k {\displaystyle k} th exterior power of the tangent bundle of M {\displaystyle M} . That is, β {\displaystyle
Differential_form
Machinery used to spin cotton
Cotton-spinning machinery is machines which process (or spin) prepared cotton roving into workable yarn or thread. Such machinery can be dated back centuries
Cotton-spinning_machinery
Infinite-dimensional group in topology
-connected cover of a spin group. A string manifold is a manifold with a lifting of its frame bundle to a string group bundle. This means that in addition
String_group
Partial differential equations whose solutions are instantons
of partial differential equations for a connection on a vector bundle or principal bundle. They arise in physics as the Euler–Lagrange equations of the
Yang–Mills_equations
Mathematical operation on vector spaces
Dimension Exterior form Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable
Tensor_product
Representation theory of an important group in physics
representation by associating a 4-component Dirac spinor ψ {\displaystyle \psi } with each particle. These spinors transform under Lorentz transformations generated
Representation theory of the Poincaré group
Representation_theory_of_the_Poincaré_group
Straight path on a curved surface or a Riemannian manifold
double tangent bundle TTM into horizontal and vertical bundles: T T M = H ⊕ V . {\displaystyle TTM=H\oplus V.} The double tangent bundle can be visualized
Geodesic
Fiber bundle of the 3-sphere over the 2-sphere, with 1-spheres as fibers
In differential topology, the Hopf fibration (also known as the Hopf bundle or Hopf map) describes a 3-sphere (a hypersphere in four-dimensional space)
Hopf_fibration
Type of group in mathematics
the spin phenomena, while the former is related to the determinant. The 'spin' name of the spinor norm can be explained by a connection to the spin group
Orthogonal_group
Exterior algebraic map taking tensors from p forms to n-p forms
perspectives, making contacts to the use of the two-spinor language in modern physics such as spinor-helicity formalism or twistor theory. The Hodge star
Hodge_star_operator
Clifford algebra in 4 dimensions
to the Majorana spinor and the ELKO spinor, which cannot (i.e. they are electrically neutral), as they explicitly constrain the spinor so as to not interact
Dirac_algebra
Modern theory of gravitation that combines supersymmetry and general relativity
Majorana spinor. This Majorana spinor can be reexpressed as a complex left-handed Weyl spinor and its complex conjugate right-handed Weyl spinor (they're
Supergravity
Concept in differential geometry
differentiable principal bundle or vector bundle with a connection. Let G be a Lie group and P → M be a principal G-bundle on a smooth manifold M. Suppose
Exterior_covariant_derivative
2007 video game
BlackBerry in 2009. The game sold over 4 million units as of 2008. MySims: Cozy Bundle, which contains MySims and MySims Kingdom, was released for Nintendo Switch
MySims
Operation that pairs a left and a right R-module into an abelian group
bundles T M , T ∗ M {\displaystyle TM,T^{*}M} are viewed as locally free sheaves on M. The exterior bundle on M is the subbundle of the tensor bundle
Tensor_product_of_modules
Construct in differenital geometry
mathematics, a metric connection is a connection in a vector bundle E equipped with a bundle metric; that is, a metric for which the inner product of any
Metric_connection
Structure defining distance on a manifold
Sg defines a section of the bundle Hom(TM, T*M) of vector bundle isomorphisms of the tangent bundle to the cotangent bundle. This section has the same
Metric_tensor
Affine connection on the tangent bundle of a manifold
the Levi-Civita connection is the unique affine connection on the tangent bundle of a manifold that preserves the (pseudo-)Riemannian metric and is torsion-free
Levi-Civita_connection
Dimension Exterior form Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable
Symmetrization
Vector behavior under coordinate changes
indices, because it has parts that live in the tangent bundle as well as the cotangent bundle. A contravariant vector is one which transforms like d x
Covariance and contravariance of vectors
Covariance_and_contravariance_of_vectors
checks in with a/v specialist Steve Hayes as he pulls "futureproof" wiring bundles through the walls and back to a central switching box. Finally, custom
List of This Old House episodes (seasons 11–20)
List_of_This_Old_House_episodes_(seasons_11–20)
Method for specifying point positions
Dimension Exterior form Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable
Coordinate_system
Tensor invariant under permutations of vectors it acts on
Dimension Exterior form Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable
Symmetric_tensor
University Press, p. 25 Roger Penrose; Wolfgang Rindler, Spinors and Space–Time: Volume 1, Two-Spinor Calculus and Relativistic Fields, Cambridge University
Holonomic_basis
Topological space that locally resembles Euclidean space
and there is no intrinsic notion of a normal bundle, but instead there is an intrinsic stable normal bundle. The n-sphere Sn is a generalisation of the
Manifold
Set of vectors used to define coordinates
Dimension Exterior form Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable
Basis_(linear_algebra)
Algebra associated to any vector space
situations can be found in Bourbaki (1989). Exterior algebras of vector bundles are frequently considered in geometry and topology. There are no essential
Exterior_algebra
SPINOR BUNDLE
SPINOR BUNDLE
Surname or Lastname
English (mainly Yorkshire)
English (mainly Yorkshire) : nickname for a peasant who gave himself airs and graces, from Anglo-Norman French segneur ‘lord’ (Latin senior ‘elder’).English and Dutch : distinguishing nickname for the elder of two bearers of the same personal name (for example, a father and son or two brothers), from Latin senior ‘elder’.
Boy/Male
Biblical
Watch of him that sleeps.
Surname or Lastname
English
English : variant of Saylor.
Surname or Lastname
English (Yorkshire)
English (Yorkshire) : unexplained. Perhaps one of the many variants of Senior.
Surname or Lastname
English
English : from Middle English spink ‘chaffinch’ (probably of imitative origin), hence a nickname bestowed on account of some fancied resemblance to the bird.
Male
Greek
(ΣπÏÏο) Variant spelling of Greek Spyro, SPIRO means "spirit."
Surname or Lastname
English, German, or Jewish
English, German, or Jewish : variant of Spindler.
Surname or Lastname
English
English : variant of Senior, mainly of 1.
Surname or Lastname
English
English : variant spelling of Miner.German : nickname, meaning ‘small(er)’, from Latin minor ‘less’, ‘smaller’.French : nickname meaning ‘younger’, from the same word as in 2.
Female
Turkish
Turkish name PINAR means "spring."
Surname or Lastname
English
English : unexplained. Possibly a reduced form of Senior.
Male
Spanish
 Italian and Spanish name derived from the word pino, PINO means "pine tree." Compare with another form of Pino.
Female
English
Variant spelling of English Eleanor, ELINOR means "foreign; the other."
Surname or Lastname
English
English : unexplained.Americanized spelling of Scheiner.
Male
Greek
(ΣπÏÏος) Variant spelling of Greek Spyros, SPIROS means "spirit."
Surname or Lastname
English
English : patronymic from Spink.
Girl/Female
English American Greek French Shakespearean
Shining light.
Surname or Lastname
English and South German
English and South German : occupational name for a spinner of yarn, from the agent derivative of Middle English, Middle High German spinnen ‘to spin’.
Surname or Lastname
English
English : from an agent derivative of Middle English (e)spi(en) ‘to watch’, hence an occupational name for a lookout or watchman, or a nickname for a nosy person.Scottish : variant spelling of Spear.German : nickname for a small person, from Middle Low German spīr ‘trifle’, ‘small piece’.German : habitational name from any of several places named Spier, notably the city in the Palatinate, now spelled Speyer (see Speyer, Spiering).Jewish (Ashkenazic) : variant of Spiro.
Surname or Lastname
English
English : occupational name for a seller of spices, Middle English spic(i)er (a reduced form of Old French espicier, Late Latin speciarius, an agent derivative of species ‘spice’, ‘groceries’, ‘merchandise’).Jewish (from Poland) : variant of Spitzer.
SPINOR BUNDLE
SPINOR BUNDLE
Girl/Female
Australian, Welsh
White; Happiness; Blessed; A North Wales County Name
Girl/Female
Tamil
Fairy queen, Ambition
Boy/Male
Greek
Farmer.
Boy/Male
Hindu
Manifestation of the Trinity - Brahma, Vishnu and Shiva
Male
Irish
Old Irish Gaelic name MAEL-MAEDÓC means "devotee of Maedóc."
Boy/Male
English
Close to beech trees.
Girl/Female
Tamil
Best, Noble
Boy/Male
Tamil
Shvetank | à®·à¯à®µà¯‡à®¤à®¾à®‚க
Having a white mark
Boy/Male
American, Australian
To have Faith; Hope; From Zulu; Trust
Boy/Male
Hindu
SPINOR BUNDLE
SPINOR BUNDLE
SPINOR BUNDLE
SPINOR BUNDLE
SPINOR BUNDLE
a.
Having the form of a spine or thorn; spinelike.
a.
Situated above a spine or spines; supraspinate; supraspinous.
a.
Producing spines; bearing thorns or spines; thorny; spiny.
a.
Furnished with spines; spiny.
v. i.
To follow a spoor or trail.
n.
Anything resembling the spine or backbone; a ridge.
n.
A spinny.
a.
Spinose; thorny.
a.
Having spines arranged spirally. See Spicule.
n.
See Spinny.
a.
Full of spines; armed with thorns; thorny.
a.
Like a spine in shape; slender.
a.
More advanced than another in age; prior in age; elder; hence, more advanced in dignity, rank, or office; superior; as, senior member; senior counsel.
a.
Bearing a spine or spines; thorn-bearing.
n.
One who, or that which, spins one skilled in spinning; a spinning machine.
a.
Of or pertaining to a spine or spines.
a.
Full of spines; thorny; as, a spiny tree.
n.
A spider.