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Note 2 - Summary of Significant Accounting Policies - Subsidiaries (Details)
12 Months Ended
Dec. 31, 2023
Precise Time and Frequency, LLC [Member] | DELAWARE  
Ownership Percentage, Parent 100.00%
P3 Logistic Solutions LLC [Member] | DELAWARE  
Ownership Percentage, Parent 100.00%
Lynch Capital International, LLC [Member] | DELAWARE  
Ownership Percentage, Parent 100.00%
LGL Systems Acquisition Holding Company, LLC [Member] | DELAWARE  
Ownership Percentage, VIE 34.80% [1]
Lynch Systems Acquisition Holdings Company, LLC [Member] | DELAWARE  
Ownership Percentage, Parent 100.00%
L G L Systems Nevada Management Partners L L C [Member] | NEVADA  
Ownership Percentage, Parent 1.00% [2]
[1] Entity is a consolidated VIE
[2] Entity is an unconsolidated VIE