Entanglement and the quantum spatial continuum

Corbett, J. V.

doi:10.1063/1.3635841

Cited by 2 publications

(2 citation statements)

References 7 publications

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“…Dari keempat penelitian tersebut tampak bahwa kemampuan spasial sangat penting dikuasai oleh peserta didik. Hal ini sejalan dengan Corbett (2011) yang menyatakan bahwa pemikiran spasial merupakan inti dari banyak penemuan besar dalam sains, yang menopang banyak aktivitas tenaga kerja modern, dan bahwa pemikiran tersebut meliputi aktivitas sehari-hari dalam kehidupan modern. Sehingga guru sebagai seorang pengajar perlu mengupayakan kemampuan spasial siswa menjadi lebih baik.…”

Section: Hasil Dan Pembahasanunclassified

Peran Dynamic Geometry Software Untuk Meningkatkan Kemampuan Spasial Peserta Didik Dalam Belajar Descriptive Geometry: Sebuah Review Literatur

Wijaksana¹,

Kusumah

2023

JRPMS

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Peserta didik dalam memahami Descriptive Geometry perlu memiliki kemampuan spasial. Karakteristik dari Descriptive Geometry adalah proyeksi dimana dalam pembelajaran siswa dituntut untuk mampu merepresentasikan objek-objek 3D ke dalam bentuk 2D dengan aturan-aturan proyeksi yang ketat. Oleh karena itu peserta didik hendaknya memiliki kemampuan spasial yang mumpuni apabila mengikuti pembelajaran Descriptive Geometry, sehingga penelitian ini memiliki tujuan untuk melihat sejauh mana peran Dynamic geometry software dalam meningkatkan kemampuan spasial peserta didik dalam belajar Descriptive Geometry. Penelitian ini merupakan sebuah review literatur yang mengkaji berbagai macam referensi melalui penelusuran artikel internasional maupun nasional secara daring. Studi ini diperuntukkan untuk mendapatkan kekuatan kajian ilmiah tentang kemampuan spasial peserta didik dalam mempelajari Geometry Descriptive. Setelah melakukan kajian terhadap artikel-artikel yang relevan, dapat disimpulkan bahwa Dynamic geometry software memiliki peran yang sangat penting dalam meningkatkan kemampuan spasial peserta didik dalam belajar Descriptive Geometry.

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Section: Hasil Dan Pembahasanunclassified

Peran Dynamic Geometry Software Untuk Meningkatkan Kemampuan Spasial Peserta Didik Dalam Belajar Descriptive Geometry: Sebuah Review Literatur

Wijaksana¹,

Kusumah

2023

JRPMS

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“…For example, if the algebra of attributes for a single massive Galilean relativistic quantum particle is A = dU(E (G ))) then the quantum space is R D (E S (A )) 3 [9]. The cartesian coordinate axes are parametrized by A x j Q (E S (M )) generated by the position operatorsX j , for j = 1, 2, 3, that transform appropriately under the Euclidean subgroup of the symmetry group G. The triplets x Q (W ) for W ∈ O(E S (A )) do not label points, they are open sets because any section a Q (W ) is open in R D (E S (A )) by the construction of its topology.…”

Section: Locality In Qr-number Spacementioning

confidence: 99%

A Topos Theory Foundation for Quantum Mechanics

Corbett¹

2012

Electron. Proc. Theor. Comput. Sci.

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The theory of quantum mechanics is examined using non-standard real numbers, called quantum real numbers (qr-numbers), that are constructed from standard Hilbert space entities. Our goal is to resolve some of the paradoxical features of the standard theory by providing the physical attributes of quantum systems with numerical values that are Dedekind real numbers in the topos of sheaves on the state space of the quantum system. The measured standard real number values of a physical attribute are then obtained as constant qr-number approximations to variable qr-numbers. Considered as attributes, the spatial locations of massive quantum particles form non-classical spatial continua in which a single particle can have a quantum trajectory which passes through two classically separated slits and the two particles in the Bohm-Bell experiment stay close to each other in quantum space so that Einstein locality is retained.1 The quantum real number interpretation of quantum mechanics.The quantum real number (qr-number) interpretation of quantum mechanics is based on the claim that the change from classical physics to quantum physics is achieved by changing in the type of numerical values that the physical variables can possess. It assumes that the properties of microscopic entities differ from those of classical because their numerical values are not standard real numbers but are Dedekind real numbers in a spatial topos built upon the quantum state space of the microscopic entities. The Dedekind reals differ from standard real is that each holds true to a non-trivial extent given by an open subsets of the quantum state space. These are its conditions, they replace the individual states of standard quantum theory. The internal logic is intuitionistic. The "direct connection between observation properties and properties possessed by the independently existing object" [10] is cut, an indirect connection is made through the experimental measurement processes. The interpretation builds on the fact that any experimental measurement has a limited level of accuracy. Within this level of accuracy an attribute's qr-number value is approximated by a standard real number.Its mathematical structure is built from elements of standard quantum mechanics: we start from von Neumann's assumption [37] that to any quantum system we can associate a Hilbert space H . H is the carrier space of a unitary representation of a Lie group G, the symmetry group of the quantum system. Then, as in the standard interpretation, the physical attributes (measurable qualities) of the quantum system are represented by essentially self-adjoint operators that act on a dense subset D ⊂ H . The set of operators form a * -algebra A and the state space E S (A ) of the system is the space of normalized linear functionals on A . The state space has the weak topology generated by the real -valued functions a Q : E S (A ) → R given by a Q (ρ) = Tr(ρ.Â) : ∀ρ ∈ E S (A ) and labeled by the operatorsÂ ∈ A . A typical open set is a finite intersection of open sets N (ρ 0 ;...

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Entanglement and the quantum spatial continuum

Cited by 2 publications

References 7 publications

Peran Dynamic Geometry Software Untuk Meningkatkan Kemampuan Spasial Peserta Didik Dalam Belajar Descriptive Geometry: Sebuah Review Literatur

Peran Dynamic Geometry Software Untuk Meningkatkan Kemampuan Spasial Peserta Didik Dalam Belajar Descriptive Geometry: Sebuah Review Literatur

A Topos Theory Foundation for Quantum Mechanics

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