Talk detail

MG13 - Talk detail

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 Participant

Ahmad, Mushfiq

Institution

Rajshahi University  - Motihar - Rajshahi - Rajshahi - Bangladesh

Session

SF2

Accepted

No

Order

Time

Talk

Oral abstract

Title

Reciprocal Symmetric Algebra and Correspondence between Relativistic and Quantum Mechanical Concepts
Co-authors Osman Gani Talukder

Abstract

We have shown that Planck's hypothesis (which sets a lower limit) is reciprocally related to Einstein's postulate (which sets an upper limit). We have postulated that numbers and their reciprocals are equally valid representations of the same physical quantity. We have developed generalized algebraic operations (addition and multiplication) which include both numbers and their reciprocals. Addition in number representation gives the Einstein's law of addition of velocities; in reciprocal representation, it gives the law of addition of tachyons.

Session

GT3

Accepted

Order

Time

Talk

Oral abstract

Title

Reciprocal Correspondence between Relativistic and Quantum Mechanical Concepts and Continuous and Descrete Description of the Same Motion
Co-authors Muhammad Osman Gani Talukder

Abstract

We have postulated reciprocal symmetric sum of velocities, which remains invariant if velocities are replaced by their reciprocals. Einstein's law of addition of velocities is reciprocal symmetric. Velocities and their reciprocals (like de Broglie wave velocity)relate relativistic quantities to their corresponding quantum mechanical quantities. Direct velocities give distance with continuous time while reciprocal velocities give distances for discrete time.

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