Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Proper Time and Mass as Dynamical Variables: Why It's Possible and Some Consequences

Proper Time and Mass as Dynamical Variables: Why It's Possible and Some Consequences

Greenberger, Daniel

Hardcover

Series: Fundamental Theories of Physics, Book 224

General NatureHistory & Philosophy of SciencePhysics

PREORDER - Expected ship date October 28, 2026

ISBN10: 9819507316
ISBN13: 9789819507313
Publisher: Springer
Published: Oct 28 2026
Pages: 187
Language: English

This book highlights that Mass and Proper Time, which are well-defined classically, have all sorts of conceptual problems when considered quantum- mechanically. When systems interact, the masses change to include binding energies, etc., but are not treated as variables within the standard formalism. Similarly, proper time becomes an ambiguous concept when particles are entangled, or when they can take several different paths. But the formalism can easily be extended, so that they become conjugate dynamical variables, and there is an uncertainty principle between mass and proper time. There are many examples of this, but it is not easy to prove convincingly, since one can always experimentally change a mass-time relationship into a momentum-position one, which is well known. It is only in the case of unstable particles, where one sees a clear difference.

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