COMPUTATIONAL VISUALIZATION OF HYPOTHETICAL FOUR-DIMENSIONAL QUANTUM SYSTEMS FOR PEDAGOGICAL PURPOSES

Muhammad Afrizal; Arinda Rahma Sunarti; Ami Zahrani; Hamdi Akhsan; Melly Ariska

doi:10.59052/edufisika.v11i2.49885

Penulis

Muhammad Afrizal Universitas Sriwijaya, Indonesia
Arinda Rahma Sunarti Universitas Sriwijaya, Indonesia
Ami Zahrani Universitas Sriwijaya, Indonesia
Hamdi Akhsan Universitas Sriwijaya, Indonesia
Melly Ariska Universitas Sriwijaya, Indonesia

DOI:

https://doi.org/10.59052/edufisika.v11i2.49885

Kata Kunci:

Computational visualization, Four-dimensional quantum systems, Physics education, Quantum simulation

Abstrak

Pemahaman mengenai dimensi keempat dalam fisika kuantum masih menjadi tantangan konseptual yang signifikan, baik dari aspek matematis maupun pedagogis. Dalam konteks penelitian ini, “dimensi keempat” dipahami sebagai dimensi ruang tambahan yang diperkenalkan sebagai konstruk matematis dan pedagogis, bukan sebagai realitas fisik yang empiris. Konstruk ini dirancang untuk mendukung eksplorasi terhadap struktur ruang Hilbert multidimensi serta untuk mengembangkan intuisi peserta didik mengenai sistem dengan dimensi yang lebih tinggi. Penelitian ini bertujuan mengembangkan suatu pendekatan komputasional terintegrasi yang dapat memfasilitasi visualisasi dan eksplorasi fenomena empat dimensi (4D) melalui simulasi numerik, visualisasi grafis, serta representasi interaktif. Metode penelitian yang digunakan adalah metode kualitatif-komputasional dengan tahapan meliputi studi literatur, perumusan model matematis, perancangan algoritma menggunakan Python (melalui platform Google Colab), serta validasi hasil simulasi terhadap teori kuantum yang relevan. Model kuantum empat dimensi dikonstruksi menggunakan pendekatan particle-in-a-box untuk menghasilkan fungsi gelombang ψ(x, y, z, w) yang selanjutnya diproyeksikan ke dalam ruang tiga dimensi (3D) dan dua dimensi (2D). Hasil penelitian menunjukkan bahwa proyeksi distribusi probabilitas mampu memberikan representasi visual yang bermakna mengenai eksistensi dimensi keempat. Selain itu, visualisasi bentuk tesseract berperan penting dalam membantu peserta didik mengembangkan intuisi spasial terhadap konsep ruang berdimensi tinggi. Kebaruan penelitian ini terletak pada integrasi antara metode reduksi dimensi dan visualisasi berbasis data dalam konteks pembelajaran fisika kuantum. Implikasi dari penelitian ini mencakup kontribusi terhadap pengembangan perangkat digital yang dapat memperkuat literasi kuantum serta penyediaan model pembelajaran berbasis komputasi yang selaras dengan kebutuhan kurikulum fisika modern pada era transformasi digital.

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