18 Jun 2025

IKS Correspondences with Quantum Physics and Cosmology

A disciplined comparison of Vedānta and Sāṃkhya ideas with modern quantum and cosmological models.

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Cross-cultural comparison is most useful when it distinguishes three levels: a shared question, a structural analogy and an identical scientific theory. Indian philosophical systems and modern physics can share questions about unity, change, observation and cosmic origin without sharing equations or empirical predictions.

Vedānta and quantum theory

Vedānta is a family of interpretations, not one doctrine. Advaita Vedānta, for example, distinguishes ultimate nondual brahman from ordinary plurality as experienced under māyā. Quantum mechanics describes a physical state by a vector or density operator in Hilbert space. For a state

\[\lvert\psi\rangle=\sum_i c_i\lvert i\rangle,\]

measurement of an observable with eigenstates $\lvert i\rangle$ gives the probability

\[P(i)=\lvert c_i\rvert^2.\]

The two accounts have different purposes. Nonduality is a metaphysical and soteriological claim; a quantum superposition is a mathematical state that predicts laboratory statistics. A detector, environment or recorded interaction can be an ā€œobserverā€ in quantum physics. The formalism does not require the observer to be a conscious self.

The useful correspondence is therefore a question: how are apparent distinctions related to an underlying description? The invalid identification is ā€œbrahman is the quantum wavefunction.ā€ The latter erases the very different meanings and tests of the two concepts.

Sāṃkhya and physical change

Sāṃkhya distinguishes consciousness (puruį¹£a) from primordial nature (prakį¹›ti). Prakį¹›ti evolves through a hierarchy of tattvas and is characterized by the three guṇas: sattva, rajas and tamas. This supplies a philosophical account of manifestation and experience.

Quantum fields, matter and radiation are defined through measurable degrees of freedom, symmetries and dynamical equations. The three guṇas are not three forces, particle types or quantum numbers. A structural analogy may compare an unmanifest-to-manifest sequence with physical emergence, but it does not yield a particle spectrum or a cross-section.

Cosmological comparison

Modern homogeneous cosmology uses a scale factor $a(t)$. In general relativity its evolution is constrained by a Friedmann equation such as

\[H^2\equiv\left(\frac{\dot a}{a}\right)^2 =\frac{8\pi G}{3}\rho-\frac{kc^2}{a^2}+\frac{\Lambda c^2}{3}.\]

A viable model must specify matter content, curvature and initial conditions, then agree with redshift-distance observations, primordial element abundances and the cosmic microwave background. Indian cyclic cosmologies supply conceptions of vast duration, recurrence and dissolution, but they do not by themselves specify this equation or its observational parameters.

What ā€œresonanceā€ can establish

Correspondence can illuminate assumptions. Vedānta can prompt questions about levels of description; Sāṃkhya can sharpen the distinction between consciousness and material process; cyclic traditions can broaden the conceptual space of cosmology. None of these resonances establishes that ancient texts anticipated quantum mechanics or general relativity. Scientific equivalence would require an explicit mathematical mapping and independent predictions, not similarity of words alone.

© Rajesh Kumar, SKMU Ā· Physics Lecture Notes Ā· rajeshphy.github.io

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